diff --git a/notebooks/2DinvDC.ipynb b/notebooks/2DinvDC.ipynb new file mode 100644 index 00000000..e05e9648 --- /dev/null +++ b/notebooks/2DinvDC.ipynb @@ -0,0 +1,556 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Efficiency Warning: Interpolation will be slow, use setup.py!\n", + "\n", + " python setup.py build_ext --inplace\n", + " \n" + ] + } + ], + "source": [ + "from SimPEG import *\n", + "import simpegDCIP as DC\n", + "from numpy.polynomial import polynomial" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: pylab import has clobbered these variables: ['linalg']\n", + "`%matplotlib` prevents importing * from pylab and numpy\n" + ] + } + ], + "source": [ + "%pylab inline" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "cs = 0.5\n", + "mesh = Mesh.TensorMesh([np.ones(100)*cs, np.ones(50)*cs], \"CN\")\n", + "x = mesh.vectorCCx" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "actx = (x>-15.)&(x<15.)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "order = 3\n", + "Vobs = polynomial.polyvander(x, order)\n", + "dobs = 0.05*x-4\n", + "H = np.dot(Vobs.T, Vobs)\n", + "g = np.dot(Vobs.T, dobs)\n", + "mest = np.linalg.solve(H, g)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "dpred = Vobs.dot(mest)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "V = polynomial.polyvander(x, order)\n", + "m1D = Mesh.TensorMesh([V.shape[1]+2])\n", + "weight = (1./(V**2).sum(axis=0))**0.5\n", + "weight = weight / weight.max()\n", + "weightmap = Maps.Weighting(m1D, weights=np.r_[1., 1., weight])\n", + "m0_poly = np.r_[np.log(1e-3), np.log(1e-3), np.r_[-3., np.zeros(V.shape[1]-1)] / weight]\n", + "mtrue_poly = np.r_[np.log(1e-3), np.log(1e0), mest / weight]" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "polymap = Maps.PolyMap(mesh, V.shape[1]-1, logSigma=True, normal='Y')\n", + "mappingfwd = polymap*weightmap\n", + "mapping = Maps.ExpMap(mesh)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "sigma = mappingfwd*mtrue_poly" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "xr = np.linspace(-15, 15, 20)\n", + "xz_A = Utils.ndgrid(xr, np.r_[-0.25])\n", + "xz_B = Utils.ndgrid(np.ones_like(xr)*22, np.r_[-0.25])\n", + "xz_M = Utils.ndgrid(xr, np.r_[-0.25])\n", + "xz_N = Utils.ndgrid(np.ones_like(xr)*-22, np.r_[-0.25])\n", + "\n", + "ntx = xz_A.shape[0]\n", + "txList = []\n", + "for i in range(ntx):\n", + " offset = abs(xz_A[i,0]-xz_M[:,0])\n", + " actrx = offset > 5.\n", + " rx = DC.RxDipole(xz_M[actrx,:], xz_N[actrx,:])\n", + " src = DC.SrcDipole([rx], xz_A[i,:], xz_B[i,:])\n", + " txList.append(src)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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GADzXtpmVRY+e5942CyNiP7A/e/1TSTuA2UDLcM9lWKaNedmQzKCkt+ZdjJkZ1MI9Zeml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\nswpyuJuZVZDD3cysgv4T1DGdandC938AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dat = mesh.plotImage(np.log10(sigma), clim=(-2, 0))\n", + "plt.colorbar(dat[0])\n", + "plot(xz_A[:,0], xz_A[:,1], 'w.')\n", + "plot(xz_B[:,0], xz_B[:,1], 'y.')\n", + "plot(xz_N[:,0], xz_N[:,1], 'r.')" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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EOoZ7IcMyOeZkQzLDkt5ZdDFmZtAI95Sln7Kp9s4Hnshr27cz9x5n/N4LDETEy9n40xpJ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\nRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dat = mesh.plotImage(np.log10(mappingfwd*m0_poly), clim=(-2, 0))\n", + "plt.colorbar(dat[0])\n", + "plot(xz_A[:,0], xz_A[:,1], 'w.')\n", + "plot(xz_B[:,0], xz_B[:,1], 'y.')\n", + "plot(xz_N[:,0], xz_N[:,1], 'r.')" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from SimPEG import SolverLU" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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JRY/uGRhRBNMv4RHRAwXGJp1IOjntTIUiFAwltbd7TdJhO/uSvBJPdva14yOK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\n6YcQhHRkvVCMLRlLQ3ND7zLV6XByYK4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bmFkxW3aaEwQhC0gcRN9www0ZnW+wPJ7qfaFU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\nV9T6sRBynTgAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mtrue = np.log(sigma)\n", + "m0 = np.log(np.ones(mesh.nC)*1e-3)\n", + "survey = DC.SurveyDC(txList)\n", + "problem = DC.ProblemDC_CC(mesh, mapping = mapping)\n", + "problem.pair(survey)\n", + "problem.Solver = SolverLU\n", + "dtrue = survey.dpred(mtrue)\n", + "d0 = survey.dpred(m0)\n", + "j = problem.fields\n", + "plot(dtrue)\n", + "plot(d0)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "0.0046885259087758868" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "abs(dtrue).min()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ 1., 2., 3., 4., 5., 4., 6., 7., 8., 9., 8.,\n", + " 10., 17., 17., 18., 33., 41., 30., 32., 17.]),\n", + " array([-2.32896368, -2.11250236, -1.89604103, -1.67957971, -1.46311839,\n", + " -1.24665706, -1.03019574, -0.81373441, -0.59727309, -0.38081177,\n", + " -0.16435044, 0.05211088, 0.2685722 , 0.48503353, 0.70149485,\n", + " 0.91795617, 1.1344175 , 1.35087882, 1.56734014, 1.78380147,\n", + " 2.00026279]),\n", + " )" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "hist(np.log10(abs(dtrue)), bins = 20)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "noise = 0.05*abs(dtrue)*np.random.randn(dtrue.shape[0])" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n", + " ***Done using same solver as the problem***\n", + "============================ Inexact Gauss Newton ============================\n", + " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", + "-----------------------------------------------------------------------------\n", + " 0 1.00e+00 1.40e+08 0.00e+00 1.40e+08 8.32e+06 0 \n", + " 1 1.00e+00 1.88e+07 6.18e-03 1.88e+07 1.13e+06 0 \n", + " 2 1.00e+00 2.52e+06 2.45e-02 2.52e+06 1.55e+05 0 Skip BFGS \n", + " 3 1.25e-01 3.49e+05 5.43e-02 3.49e+05 2.17e+04 0 Skip BFGS \n", + " 4 1.25e-01 6.57e+04 9.31e-02 6.57e+04 3.25e+03 0 Skip BFGS \n", + " 5 1.25e-01 1.53e+04 7.19e+00 1.53e+04 4.83e+02 1 Skip BFGS \n", + " 6 1.56e-02 4.40e+03 1.81e+01 4.40e+03 5.23e+02 1 \n", + " 7 1.56e-02 2.56e+03 4.02e+01 2.56e+03 2.82e+03 0 Skip BFGS \n", + " 8 1.56e-02 5.47e+02 3.69e+01 5.47e+02 2.89e+02 0 \n", + " 9 1.95e-03 3.14e+02 3.71e+01 3.14e+02 3.22e+02 0 Skip BFGS \n", + " 10 1.95e-03 2.18e+02 3.92e+01 2.18e+02 1.07e+02 0 \n", + " 11 1.95e-03 1.77e+02 3.86e+01 1.77e+02 8.57e+01 0 \n", + " 12 2.44e-04 1.44e+02 4.09e+01 1.44e+02 9.30e+01 0 \n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 0.0000e+00 <= tolF*(1+|f0|) = 1.3960e+07\n", + "1 : |xc-x_last| = 3.1882e+00 <= tolX*(1+|x0|) = 4.8945e+01\n", + "0 : |proj(x-g)-x| = 9.3043e+01 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 9.3043e+01 <= 1e3*eps = 1.0000e-02\n", + "0 : maxIter = 30 <= iter = 13\n", + "------------------------- DONE! -------------------------\n" + ] + } + ], + "source": [ + "survey.dobs = dtrue +noise\n", + "dmis = DataMisfit.l2_DataMisfit(survey)\n", + "dmis.Wd = 1./(0.05*abs(dtrue)+ 0.1)\n", + "reg = Regularization.Tikhonov(mesh)\n", + "opt = Optimization.InexactGaussNewton(maxIter=30,maxIterLS=20)\n", + "opt.remember('xc')\n", + "invProb = InvProblem.BaseInvProblem(dmis, reg, opt)\n", + "betaSched = Directives.BetaSchedule(coolingFactor=8, coolingRate=3)\n", + "targetmis = Directives.TargetMisfit()\n", + "savemodel = Directives.SaveModelEveryIteration()\n", + "inv = Inversion.BaseInversion(invProb, directiveList=[betaSched,targetmis])\n", + "reg.alpha_s = 1e-5\n", + "reg.mref = m0\n", + "mopt = inv.run(m0)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "XC = opt.recall('xc')" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from ipywidgets import interact, IntSlider\n", + "def viewInv(iteration):\n", + " fig = plt.figure(num=0,figsize = (10,5))\n", + " ax = plt.subplot(111)\n", + " dat = mesh.plotImage(np.log10(mapping*XC[iteration]), grid=True, ax=ax, clim=(-3, 0), gridOpts={'alpha':0.2}, pcolorOpts={'cmap':cm.RdPu})\n", + "# ax.set_xlim(mesh.vectorNx.min(), mesh.vectorNx.max())\n", + "# ax.set_ylim(mesh.vectorNy.min(), mesh.vectorNy.max())\n", + " ax.plot(mesh.vectorCCx, dpred, 'r--')\n", + " ax.plot(xz_A[:,0], xz_A[:,1], 'k.')\n", + " ax.plot(xz_B[:,0], xz_B[:,1], 'r.')\n", + " ax.plot(xz_N[:,0], xz_N[:,1], 'b.') \n", + "# plt.colorbar(dat[0], ax=ax)\n", + "# ax.set_ylim (-15, 0.)\n", + "# ax.set_xlim (-15, 15.)\n", + " plt.show()\n", + " return True" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "image/png": 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C2KIHLgPTU8DUNDA1BVyfwMilLdj17S9ausb+tRiIXoD7+J/DTU8D00n/3MQcml/+LORt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\nRBexzbPVyobxeEkZORRDH78TmSbk9rpbhff68Wq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rG8jJHGPr+hptsRQl7KVXTl33JM+gNd7CaFnCMxA1gl7/1PcJpZWe9OKLomkC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\nZlbp7h8EH2cDjcH7pcB/mNkTJA4PjQQaUm7kiv7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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(survey.dobs)\n", + "plt.plot(invProb.dpred)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/notebooks/CircModel-Copy1.ipynb b/notebooks/CircModel-Copy1.ipynb new file mode 100644 index 00000000..486cfc52 --- /dev/null +++ b/notebooks/CircModel-Copy1.ipynb @@ -0,0 +1,402 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 372, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from SimPEG import *\n", + "import simpegDCIP as DC\n", + "from ipywidgets import interact, IntSlider, FloatSlider, FloatText, ToggleButtons" + ] + }, + { + "cell_type": "code", + "execution_count": 221, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 230, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "matplotlib.rcParams['font.size'] = 14" + ] + }, + { + "cell_type": "code", + "execution_count": 231, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "npad = 8\n", + "cs = 1.\n", + "hx = [(cs,npad, -1.3),(cs,100),(cs,npad, 1.3)]\n", + "hy = [(cs,npad, -1.3),(cs,50)]\n", + "mesh = Mesh.TensorMesh([hx, hy], \"CN\")\n", + "x = mesh.vectorCCx" + ] + }, + { + "cell_type": "code", + "execution_count": 232, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "circmap = Maps.CircleMap(mesh)\n", + "circmap.slope = 1e5\n", + "mapping = circmap\n", + "sighalf = 1e-3\n", + "rhohalf = 1./sighalf" + ] + }, + { + "cell_type": "code", + "execution_count": 233, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "xr = np.linspace(-40, 40, 20)\n", + "xz_A = Utils.ndgrid(xr, np.r_[-2.5])\n", + "xz_B = Utils.ndgrid(np.ones_like(xr)*19, np.r_[-2.5])\n", + "xz_M = Utils.ndgrid(xr, np.r_[-2.5])\n", + "xz_N = Utils.ndgrid(np.ones_like(xr)*-19, np.r_[-2.5])" + ] + }, + { + "cell_type": "code", + "execution_count": 364, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def DipoleDipolefun(i):\n", + " plt.figure(figsize=(10, 3))\n", + " nmax = 8\n", + " ntx = xr.size-2\n", + " dxr = np.diff(xr)\n", + " plt.plot(xr[:-1]+dxr*0.5, np.zeros_like(xr[:-1]), 'ko')\n", + " plt.plot(xr[i]+dxr[i]*0.5, np.zeros(1), 'ro')\n", + " # for i in range(ntx):\n", + " if i < ntx-nmax+1:\n", + " txmid = xr[i]+dxr[i]*0.5\n", + " rxmid = xr[i+1:i+1+nmax]+dxr[i+1:i+1+nmax]*0.5\n", + " mid = (txmid+rxmid)*0.5\n", + " plt.plot(rxmid, np.zeros(rxmid.size), 'go')\n", + " plt.plot(mid, np.arange(nmax)+1., 'bo')\n", + " plt.plot(np.r_[txmid, mid[-1]], np.r_[0, nmax], 'k:') \n", + " for j in range(nmax):\n", + " plt.plot(np.r_[rxmid[j], mid[j]], np.r_[0, j+1], 'k:') \n", + "\n", + " else:\n", + " txmid = xr[i]+dxr[i]*0.5\n", + " rxmid = xr[i+1:ntx+1]+dxr[i+1:ntx+1]*0.5\n", + " mid = (txmid+rxmid)*0.5 \n", + " plt.plot((txmid+rxmid)*0.5, np.arange(mid.size)+1., 'bo')\n", + " plt.plot(rxmid, np.zeros(rxmid.size), 'go')\n", + " plt.plot(np.r_[txmid, mid[-1]], np.r_[0, mid.size], 'k:') \n", + " for j in range(ntx-i):\n", + " plt.plot(np.r_[rxmid[j], mid[j]], np.r_[0, j+1], 'k:') \n", + " plt.xlabel(\"X (m)\")\n", + " plt.ylabel(\"N-spacing\") \n", + " xlim(xr.min(), xr.max())\n", + " ylim(nmax+1, -1)\n", + " plt.show()\n", + " return " + ] + }, + { + "cell_type": "code", + "execution_count": 365, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def getPseudoLocs(xr, ntx, nmax):\n", + " dxr = np.diff(xr)\n", + " xloc = []\n", + " yloc = [] \n", + " for i in range(ntx):\n", + " if i < ntx-nmax+1:\n", + " txmid = xr[i]+dxr[i]*0.5\n", + " rxmid = xr[i+1:i+1+nmax]+dxr[i+1:i+1+nmax]*0.5\n", + " mid = (txmid+rxmid)*0.5\n", + " xloc.append(mid)\n", + " yloc.append(np.arange(nmax)+1.)\n", + " else:\n", + " txmid = xr[i]+dxr[i]*0.5\n", + " rxmid = xr[i+1:ntx+1]+dxr[i+1:ntx+1]*0.5\n", + " mid = (txmid+rxmid)*0.5 \n", + " xloc.append(mid)\n", + " yloc.append(np.arange(mid.size)+1.)\n", + " xlocvec = np.hstack(xloc)\n", + " ylocvec = np.hstack(yloc)\n", + " return np.c_[xlocvec, ylocvec]" + ] + }, + { + "cell_type": "code", + "execution_count": 366, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "dxr = np.diff(xr)\n", + "ntx, nmax = xr.size-2, 8\n", + "xzlocs = getPseudoLocs(xr, ntx, nmax)" + ] + }, + { + "cell_type": "code", + "execution_count": 367, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "interact(DipoleDipolefun, i=IntSlider(min=0, max=ntx-1, step = 1, value=0))" + ] + }, + { + "cell_type": "code", + "execution_count": 238, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "txList = []\n", + "zloc = -2.5\n", + "for i in range(ntx):\n", + " A = np.r_[xr[i]+dxr[i]*0.5, zloc]\n", + " B = np.r_[mesh.vectorCCx.min(), zloc] \n", + " if i < ntx-nmax+1:\n", + " M = np.c_[xr[i+1:i+1+nmax], np.ones(nmax)*zloc] \n", + " N = np.c_[xr[i+2:i+2+nmax], np.ones(nmax)*zloc] \n", + " else:\n", + " M = np.c_[xr[i+1:ntx+1], np.ones(ntx-i)*zloc] \n", + " N = np.c_[xr[i+2:i+2+nmax], np.ones(ntx-i)*zloc] \n", + " rx = DC.RxDipole(M, N)\n", + " src = DC.SrcDipole([rx], A, B)\n", + " txList.append(src)" + ] + }, + { + "cell_type": "code", + "execution_count": 239, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "survey = DC.SurveyDC(txList)\n", + "problem = DC.ProblemDC_CC(mesh, mapping = mapping)\n", + "problem.pair(survey)" + ] + }, + { + "cell_type": "code", + "execution_count": 240, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from pymatsolver import MumpsSolver\n", + "problem.Solver = MumpsSolver" + ] + }, + { + "cell_type": "code", + "execution_count": 422, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "sigblk, sighalf = 2e-2, 2e-3\n", + "xc, yc, r = -15, -8, 4\n", + "mtrue = np.r_[np.log(sigblk), np.log(sighalf), xc, yc, r]\n", + "dtrue = survey.dpred(mtrue) \n", + "perc = 0.1\n", + "floor = np.linalg.norm(dtrue)*1e-3\n", + "uncert = np.random.randn(survey.nD)*perc + floor\n", + "dobs = dtrue + uncert " + ] + }, + { + "cell_type": "code", + "execution_count": 429, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def DC2Dfwdfun(mesh, rhohalf, rhoblk, xc, yc, r, dobs, uncert, predmis):\n", + " sighalf, sigblk = 1./rhohalf, 1./rhoblk\n", + " m0 = np.r_[np.log(sighalf), np.log(sighalf), xc, yc, r]\n", + " dini = survey.dpred(m0)\n", + " mtrue = np.r_[np.log(sigblk), np.log(sighalf), xc, yc, r]\n", + " dpred = survey.dpred(mtrue)\n", + " xi, yi = np.meshgrid(np.linspace(xr.min(), xr.max(), 120), np.linspace(1., nmax, 100))\n", + " appres = dpred/dini/sighalf\n", + " appresobs = dobs/dini/sighalf\n", + " pred = griddata(xzlocs[:,0], xzlocs[:,1], appres, xi, yi, interp='linear')\n", + " obs = griddata(xzlocs[:,0], xzlocs[:,1], appresobs, xi, yi, interp='linear')\n", + " fig = plt.figure(figsize = (12, 8))\n", + " ax1 = plt.subplot(311)\n", + " dat1 = mesh.plotImage(np.log10(1./(mapping*mtrue)), ax=ax1, clim=(0, 3), grid=True, gridOpts={'color':'k', 'alpha':0.5})\n", + " cb1 = plt.colorbar(dat1[0], ticks=np.linspace(0, 3, 5), ax=ax1, format=\"$10^{%4.1f}$\")\n", + " cb1.set_label(\"Resistivity (ohm-m)\")\n", + " ax1.set_ylim(-30, 0.)\n", + " ax1.set_xlim(-40, 40)\n", + " ax1.set_xlabel(\"\")\n", + " ax1.set_ylabel(\"Depth (m)\") \n", + " ax2 = plt.subplot(312)\n", + " dat2 = ax2.contourf(xi, yi, obs, 10)\n", + " ax2.contour(xi, yi, obs, 10, colors='k', alpha=0.5)\n", + " ax2.plot(xzlocs[:,0], xzlocs[:,1],'k.', ms = 3)\n", + " cb2 = plt.colorbar(dat2, ax=ax2, ticks=np.linspace(appresobs.min(), appresobs.max(), 5), format=\"%4.1f\")\n", + " \n", + " cb2.set_label(\"Apparent Resistivity \\n (ohm-m)\")\n", + " ax2.set_ylim(nmax+1, 0.)\n", + " ax2.set_ylabel(\"N-spacing\") \n", + " ax2.text(-38, 7, \"Observed\")\n", + " \n", + " ax3 = plt.subplot(313)\n", + " if predmis==\"pred\":\n", + " dat3 = ax3.contourf(xi, yi, pred, 10)\n", + " ax3.contour(xi, yi, pred, 10, colors='k', alpha=0.5)\n", + " ax3.plot(xzlocs[:,0], xzlocs[:,1],'k.', ms = 3)\n", + " cb3 = plt.colorbar(dat3, ax=ax3, ticks=np.linspace(appres.min(), appres.max(), 5),format=\"%4.0f\")\n", + " cb3.set_label(\"Apparent Resistivity \\n (ohm-m)\")\n", + " ax3.text(-38, 7, \"Predicted\")\n", + " elif predmis==\"mis\":\n", + " mis = (appresobs-appres)/(0.1*appresobs)\n", + " Mis = griddata(xzlocs[:,0], xzlocs[:,1], mis, xi, yi, interp='linear') \n", + " dat3 = ax3.contourf(xi, yi, Mis, 10)\n", + " ax3.contour(xi, yi, Mis, 10, colors='k', alpha=0.5)\n", + " ax3.plot(xzlocs[:,0], xzlocs[:,1],'k.', ms = 3)\n", + " cb3 = plt.colorbar(dat3, ax=ax3, ticks=np.linspace(mis.min(), mis.max(), 5), format=\"%4.2f\")\n", + " cb3.set_label(\"Normalized misfit\")\n", + " ax3.text(-38, 7, \"Misifit\") \n", + " ax3.set_ylim(nmax+1, 0.)\n", + " ax3.set_ylabel(\"N-spacing\") \n", + " ax3.set_xlabel(\"Distance (m)\") \n", + " plt.show()\n", + " return True" + ] + }, + { + "cell_type": "code", + "execution_count": 430, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "DC2Dfwd = lambda rhohalf, rhosph, xc, zc, r, predmis: DC2Dfwdfun(mesh, rhohalf, rhosph, xc, zc, r, dobs, uncert, predmis)\n", + "# DC2Dfwdfun(mesh, 1000., 1e1, 0., -9, 4, dobs, uncert, \"pred\")" + ] + }, + { + "cell_type": "code", + "execution_count": 431, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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VEyvp7cUZq9raizNW0tuLM1a1tRdnrKS3F2espLfX3FhJ2aeZh7LkcicUNWm+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\ni6UArGi2WCwWi8VisVgK4P8BuLYOvBAZ5r8AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "True" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "interact(DC2Dfwd,\n", + " rhohalf = FloatSlider(min=0, max=1000, step=1, value = 500),\n", + " rhosph = FloatSlider(min=0, max=1000, step=1, value = 50),\n", + " xc = FloatSlider(min=-40, max=40, step=1, value = -15),\n", + " zc = FloatSlider(min= -20, max=0, step=1, value = -8),\n", + " r = FloatSlider(min= 0, max=15, step=0.5, value = 4),\n", + " predmis = ToggleButtons(options=['pred','mis']) \n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/notebooks/CircModel.ipynb b/notebooks/CircModel.ipynb new file mode 100644 index 00000000..16b947e6 --- /dev/null +++ b/notebooks/CircModel.ipynb @@ -0,0 +1,506 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from SimPEG import *" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: pylab import has clobbered these variables: ['linalg']\n", + "`%matplotlib` prevents importing * from pylab and numpy\n" + ] + } + ], + "source": [ + "%pylab inline" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "cs = 0.5\n", + "mesh = Mesh.TensorMesh([np.ones(100)*cs, np.ones(50)*cs], \"CN\")\n", + "x = mesh.vectorCCx" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "actind = mesh.gridCC[:,1] < -1.\n", + "meshact = Mesh.TensorMesh([mesh.hx, mesh.hy[:-2]], x0=mesh.x0)\n", + "actmap = Maps.ActiveCells(mesh, actind, 1e-2)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "circmap = Maps.CircleMap(meshact)\n", + "circmap.slope = 1e5" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "mapping = actmap*circmap" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "\n", + "# mapping = Maps.CircleMap(mesh)\n", + "mtrue = np.r_[np.log(1e0), np.log(1e-3), 0., -3., 2.]\n", + "m0 = np.r_[np.log(1e-3), np.log(1e-3), -3, -5., 1]" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import simpegDCIP as DC" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "xr = np.linspace(-15, 15, 20)\n", + "xz_A = Utils.ndgrid(xr, np.r_[-0.25])\n", + "xz_B = Utils.ndgrid(np.ones_like(xr)*19, np.r_[-0.25])\n", + "xz_M = Utils.ndgrid(xr, np.r_[-0.25])\n", + "xz_N = Utils.ndgrid(np.ones_like(xr)*-19, np.r_[-0.25])" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "ntx = xz_A.shape[0]\n", + "txList = []\n", + "for i in range(ntx):\n", + " offset = abs(xz_A[i,0]-xz_M[:,0])\n", + " actrx = offset > 5.\n", + " rx = DC.RxDipole(xz_M[actrx,:], xz_N[actrx,:])\n", + " src = DC.SrcDipole([rx], xz_A[i,:], xz_B[i,:])\n", + " txList.append(src)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "survey = DC.SurveyDC(txList)\n", + "problem = DC.ProblemDC_CC(mesh, mapping = mapping)\n", + "problem.pair(survey)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from pymatsolver import MumpsSolver\n", + "problem.Solver = MumpsSolver" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "dini = survey.dpred(m0)\n", + "dtrue = survey.dpred(mtrue)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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Im/Iv5zm7dvLM7ReRjCQc3+PqvpfzJ3t/m/AjA0RkPzHRTzLYz8ZkP5dvy7B9+Equ2pHl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\nnurvUfl+gWOz1iW7nSqQikWYwPRItm/Y3nRup1L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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "figsize(14*0.5,7*0.5)\n", + "circmodelest = mapping*mtrue\n", + "dat = mesh.plotImage(np.log10(circmodelest), clim=(-4, 1), grid=True, gridOpts={'alpha':0.5})\n", + "plot(xz_A[:,0], xz_A[:,1], 'w.')\n", + "plot(xz_B[:,0], xz_B[:,1], 'k.')\n", + "plot(xz_N[:,0], xz_N[:,1], 'r.')\n", + "# plot(temp.rxList[0].locs[0][:,0], temp.rxList[0].locs[0][:,1], 'bo')\n", + "plt.colorbar(dat[0])" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n", + " ***Done using same solver as the problem***\n", + "SimPEG.SaveModelEveryIteration will save your models as: '###-InversionModel-2015-11-10-16-33.npy'\n", + "============================ Inexact Gauss Newton ============================\n", + " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", + "-----------------------------------------------------------------------------\n", + " 0 0.00e+00 4.69e+03 0.00e+00 4.69e+03 3.97e+04 0 \n", + " 1 0.00e+00 2.80e+03 4.41e-03 2.80e+03 1.09e+03 0 \n", + " 2 0.00e+00 2.59e+03 3.14e+01 2.59e+03 1.43e+04 1 \n", + " 3 0.00e+00 1.31e+03 4.23e+01 1.31e+03 1.48e+04 3 \n", + " 4 0.00e+00 1.22e+03 5.74e+01 1.22e+03 1.49e+04 4 \n", + " 5 0.00e+00 8.55e+02 3.58e+01 8.55e+02 2.20e+04 0 \n", + " 6 0.00e+00 6.43e+02 5.20e+01 6.43e+02 1.71e+04 3 \n", + " 7 0.00e+00 4.57e+02 4.43e+01 4.57e+02 5.20e+03 0 \n", + " 8 0.00e+00 3.83e+02 6.55e+01 3.83e+02 1.54e+04 2 \n", + " 9 0.00e+00 3.67e+02 5.78e+01 3.67e+02 5.76e+03 1 \n", + " 10 0.00e+00 3.31e+02 6.61e+01 3.31e+02 1.20e+04 1 \n", + " 11 0.00e+00 3.30e+02 6.15e+01 3.30e+02 1.76e+04 2 \n", + " 12 0.00e+00 2.01e+02 4.84e+01 2.01e+02 8.75e+03 0 \n", + " 13 0.00e+00 1.54e+02 6.25e+01 1.54e+02 8.56e+03 2 \n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 0.0000e+00 <= tolF*(1+|f0|) = 4.6952e+02\n", + "0 : |xc-x_last| = 5.6930e-01 <= tolX*(1+|x0|) = 1.2421e-19\n", + "0 : |proj(x-g)-x| = 8.5645e+03 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 8.5645e+03 <= 1e3*eps = 1.0000e-02\n", + "0 : maxIter = 30 <= iter = 14\n", + "------------------------- DONE! -------------------------\n" + ] + } + ], + "source": [ + "survey.dobs = dtrue\n", + "dmis = DataMisfit.l2_DataMisfit(survey)\n", + "dmis.Wd = 1./(0.01*abs(dtrue)+1.)\n", + "reg = Regularization.BaseRegularization(m1D)\n", + "opt = Optimization.InexactGaussNewton(maxIter=30,tolX=1e-20, maxIterLS=20)\n", + "opt.remember('xc')\n", + "invProb = InvProblem.BaseInvProblem(dmis, reg, opt)\n", + "invProb.beta = 0.\n", + "betaSched = Directives.BetaSchedule(coolingFactor=1, coolingRate=1)\n", + "targetmis = Directives.TargetMisfit()\n", + "savemodel = Directives.SaveModelEveryIteration()\n", + "inv = Inversion.BaseInversion(invProb, directiveList=[betaSched,targetmis, savemodel])\n", + "reg.mref = m0\n", + "mopt = inv.run(m0)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "XC = opt.recall('xc')" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from ipywidgets import interact, IntSlider" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def viewinv(iteration):\n", + "# iteration = 15\n", + " figsize(10,6)\n", + " ax1 = plt.subplot(211)\n", + " circmodelest = mapping*mtrue\n", + " if iteration > opt.iter-1:\n", + " circmodeltrue = mapping*mopt\n", + " else:\n", + " circmodeltrue = mapping*XC[iteration]\n", + " mesh.plotImage(np.log10(circmodelest), ax=ax1, clim=(-3, 0), grid=True, gridOpts={'alpha':0.5})\n", + " ax2 = plt.subplot(212)\n", + " mesh.plotImage(np.log10(circmodeltrue), ax=ax2, clim=(-3, 0), grid=True, gridOpts={'alpha':0.5})\n", + " plt.show()\n", + " return True" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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SkWbD6cqEkwbuZqVFTWcix/GC9SxfC6VqTlqqBgWV9WhWnKQjODQvWBeRJmQz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\ntGLXvrgdwzh68mjBx4Oc7uwf7J8WBoOudCUiCfYM7Zn0+j7WdC0Zj0M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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(invProb.dpred, '.')\n", + "plot(dtrue)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/notebooks/DC forward.ipynb b/notebooks/DC forward.ipynb new file mode 100644 index 00000000..c74cb423 --- /dev/null +++ b/notebooks/DC forward.ipynb @@ -0,0 +1,426 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from SimPEG import *" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: pylab import has clobbered these variables: ['linalg']\n", + "`%matplotlib` prevents importing * from pylab and numpy\n" + ] + } + ], + "source": [ + "%pylab inline" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "cs = 25.\n", + "hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]\n", + "hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]\n", + "hz = [(cs,7, -1.3),(cs,20)]" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "mesh = Mesh.TensorMesh([hx, hy, hz], \"CCN\")\n", + "sigma = np.ones(mesh.nC)" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " ---- 3-D TensorMesh ---- \n", + " x0: -833.94\n", + " y0: -833.94\n", + " z0: -1071.44\n", + " nCx: 35\n", + " nCy: 35\n", + " nCz: 27\n", + " hx: 156.87, 120.67, 92.82, 71.40, 54.93, 42.25, 32.50, 21*25.00, 32.50, 42.25, 54.93, 71.40, 92.82, 120.67, 156.87\n", + " hy: 156.87, 120.67, 92.82, 71.40, 54.93, 42.25, 32.50, 21*25.00, 32.50, 42.25, 54.93, 71.40, 92.82, 120.67, 156.87\n", + " hz: 156.87, 120.67, 92.82, 71.40, 54.93, 42.25, 32.50, 20*25.00\n" + ] + } + ], + "source": [ + "print mesh" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "33075" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mesh.nC" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "Div = mesh.faceDiv" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[['neumann', 'neumann'], ['neumann', 'neumann'], ['neumann', 'neumann']]" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mesh.setCellGradBC(\"neumann\")" + ] + }, + { + "cell_type": "code", + "execution_count": 84, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "Grad = mesh.cellGrad" + ] + }, + { + "cell_type": "code", + "execution_count": 101, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "Afc = mesh.aveF2CC\n", + "Msig = Utils.sdiag(1./(Afc.T*(1./sigma)))" + ] + }, + { + "cell_type": "code", + "execution_count": 102, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "A = Div*Msig*Grad" + ] + }, + { + "cell_type": "code", + "execution_count": 103, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# A[-1, -1] / mesh.vol[-1]" + ] + }, + { + "cell_type": "code", + "execution_count": 104, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "A[0,0] /= mesh.vol[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 105, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "inds = Utils.closestPoints(mesh, np.r_[0., 0., 0.])" + ] + }, + { + "cell_type": "code", + "execution_count": 106, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "q = np.zeros(mesh.nC)\n", + "q[inds] = 1." + ] + }, + { + "cell_type": "code", + "execution_count": 109, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "from pymatsolver import MumpsSolver" + ] + }, + { + "cell_type": "code", + "execution_count": 110, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "Ainv = MumpsSolver(A)" + ] + }, + { + "cell_type": "code", + "execution_count": 111, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "phi = Ainv*q" + ] + }, + { + "cell_type": "code", + "execution_count": 115, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(27,)" + ] + }, + "execution_count": 115, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mesh.vectorCCz.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 117, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(,\n", + " )" + ] + }, + "execution_count": 117, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mesh.plotSlice(phi,ind=26, grid=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 120, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "xyzM = Utils.ndgrid(mesh.vectorCCx+5., mesh.vectorCCy, np.r_[0.])\n", + "xyzN = Utils.ndgrid(mesh.vectorCCx-5., mesh.vectorCCy, np.r_[0.])" + ] + }, + { + "cell_type": "code", + "execution_count": 123, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "PM = mesh.getInterpolationMat(xyzM, \"CC\")\n", + "PN = mesh.getInterpolationMat(xyzN, \"CC\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "PM = mesh.getInterpolationMat" + ] + }, + { + "cell_type": "code", + "execution_count": 124, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "data = PM*phi-PN*phi" + ] + }, + { + "cell_type": "code", + "execution_count": 126, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 126, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.imshow(data.reshape(mesh.nCx, mesh.nCy))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/notebooks/DCR Pseudo-section Simulation.ipynb b/notebooks/DCR Pseudo-section Simulation.ipynb new file mode 100644 index 00000000..a443897e --- /dev/null +++ b/notebooks/DCR Pseudo-section Simulation.ipynb @@ -0,0 +1,167 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# DCR Pseudo-section Simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Efficiency Warning: Interpolation will be slow, use setup.py!\n", + "\n", + " python setup.py build_ext --inplace\n", + " \n" + ] + } + ], + "source": [ + "from SimPEG import *\n", + "from SimPEG.Examples import DC_PseudoSection_Simulation\n", + "\n", + "from ipywidgets import interactive, FloatText, FloatSlider, ToggleButtons #interactive plots!\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Transmitter 8 of 9 -> Time:0.976000070572 sec Transmitter 8 of 9\n", + "Forward completed\n" + ] + }, + { + "data": { + "image/png": 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NLUtzicwncfd7pG0bkdkVklFkDAaDoak0l8h8GZe3P8lTk2nzcTIGg8FgaBp5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\npLt12P7DTRW+iCUapdQUpVQfe3EEptY2G6XUbKV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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = DC_PseudoSection_Simulation.run()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now that we have a tool to forward model data in 3D space, we can experiment with different survey configurations.\n", + "\n", + "We here give the two options:\n", + "pole-dipole (pdp) or dipole-dipole (dpdp).\n", + "\n", + "In both cases we need to specify three important parameter.\n", + "\n", + "a: Transmitter and receivers seperation (m)\n", + "\n", + "b: Dipole seperation (m)\n", + "\n", + "n: Number of receiver dipoles along line\n", + "\n", + "We can also specify values of conductivity for the background (sig0) and the two sphere anomalies (sig1 and sig2)." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Transmitter 8 of 9 -> Time:0.976999998093 sec Transmitter 8 of 9\n", + "Forward completed\n" + ] + }, + { + "data": { + "image/png": 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TpmkoFGqx/AOBgI4fP1733beX7rtvLx0/frwGAoG9Ou/Wzj9Z827t/Fsz75b8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\nr1C4p4jefXpzzx33079//4NxCx2WqK3Av7rNOZ2C1jQ1bgL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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + "(,\n", + " )" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Simul_Fct = lambda a,b,n, sig0, sig1, sig2, stype: DC_PseudoSection_Simulation.run(param = np.r_[a,b,n], sig=np.r_[sig0,sig1,sig2], stype = stype)\n", + "\n", + "interactive(Simul_Fct, a=FloatText(min=10.,max=40.,step=5.,value=30.),\n", + " b=FloatText(min=10.,max=40.,step=5.,value=30.),\n", + " n=FloatText(min=1,max=30,step=5,value=10.),\n", + " sig0=FloatText(min=1e-4,max=1e+4,step=1e+1,value=1e-2),\n", + " sig1=FloatText(min=1e-4,max=1e+4,step=1e+1,value=1e-1),\n", + " sig2=FloatText(min=1e-4,max=1e+4,step=1e+1,value=1e-3),\n", + " stype=ToggleButtons(options=['pdp','dpdp'],value='dpdp'))\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/notebooks/DC_Forward_Live.ipynb b/notebooks/DC_Forward_Live.ipynb new file mode 100644 index 00000000..f7a9868d --- /dev/null +++ b/notebooks/DC_Forward_Live.ipynb @@ -0,0 +1,534 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Efficiency Warning: Interpolation will be slow, use setup.py!\n", + "\n", + " python setup.py build_ext --inplace\n", + " \n", + "Populating the interactive namespace from numpy and matplotlib\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: pylab import has clobbered these variables: ['linalg']\n", + "`%matplotlib` prevents importing * from pylab and numpy\n" + ] + } + ], + "source": [ + "from SimPEG import *\n", + "import simpegDCIP as DC\n", + "%pylab inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "cs = 25.\n", + "hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]\n", + "hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]\n", + "hz = [(cs,7, -1.3),(cs,20)]" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "blk1 = Utils.ModelBuilder.getIndicesBlock(np.r_[-50, 75, -50], np.r_[75, -50, -150], mesh.gridCC)\n", + "sighalf = 1e-3\n", + "sigma = np.ones(mesh.nC)*sighalf\n", + "sigma[blk1] = 1e-1\n", + "sigmahomo = np.ones(mesh.nC)*sighalf" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(,\n", + " )" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mesh.plotSlice(sigma, normal='X', grid=True)\n", + "mesh.plotSlice(sigma, ind=22, normal='Z', grid=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "xtemp = np.linspace(-150, 150, 21)\n", + "ytemp = np.linspace(-150, 150, 21)\n", + "xyz_rxP = Utils.ndgrid(xtemp-10., ytemp, np.r_[0.])\n", + "xyz_rxN = Utils.ndgrid(xtemp+10., ytemp, np.r_[0.])\n", + "xyz_rxM = Utils.ndgrid(xtemp, ytemp, np.r_[0.])" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,1, figsize = (5,5))\n", + "mesh.plotSlice(sigma, grid=True, ax = ax)\n", + "ax.plot(xyz_rxP[:,0],xyz_rxP[:,1], 'w.')\n", + "ax.plot(xyz_rxN[:,0],xyz_rxN[:,1], 'r.', ms = 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1323\n" + ] + } + ], + "source": [ + "rx = DC.RxDipole(xyz_rxP, xyz_rxN)\n", + "tx = DC.SrcDipole([rx], [-200, 0, -12.5],[+200, 0, -12.5])\n", + "print xyz_rxP.size" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "survey = DC.SurveyDC([tx])\n", + "problem = DC.ProblemDC_CC(mesh)\n", + "problem.pair(survey)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "try:\n", + " from pymatsolver import MumpsSolver\n", + " problem.Solver = MumpsSolver\n", + "except Exception, e:\n", + " problem.Solver = SolverLU" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "ename": "ImportError", + "evalue": "No module named pymatsolver", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mImportError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[1;32mfrom\u001b[0m \u001b[0mpymatsolver\u001b[0m \u001b[1;32mimport\u001b[0m \u001b[0mMumpsSolver\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[1;31mImportError\u001b[0m: No module named pymatsolver" + ] + } + ], + "source": [ + "from pymatsolver import MumpsSolver" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "problem.Solver = SolverLU\n", + "\n", + "data = survey.dpred(sigmahomo)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "ename": "IndentationError", + "evalue": "expected an indented block (, line 3)", + "output_type": "error", + "traceback": [ + "\u001b[1;36m File \u001b[1;32m\"\"\u001b[1;36m, line \u001b[1;32m3\u001b[0m\n\u001b[1;33m \u001b[0m\n\u001b[1;37m ^\u001b[0m\n\u001b[1;31mIndentationError\u001b[0m\u001b[1;31m:\u001b[0m expected an indented block\n" + ] + } + ], + "source": [ + "# Plot pseudo section\n", + "for ii in range(data):\n", + " \n" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "u1 = problem.fields(sigma)\n", + "u2 = problem.fields(sigmahomo)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "Msig1 = Utils.sdiag(1./(mesh.aveF2CC.T*(1./sigma)))\n", + "Msig2 = Utils.sdiag(1./(mesh.aveF2CC.T*(1./sigmahomo)))" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "j1 = Msig1*mesh.cellGrad*u1[tx, 'phi_sol']\n", + "j2 = Msig2*mesh.cellGrad*u2[tx, 'phi_sol']" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# us = u1-u2\n", + "# js = j1-j2" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'mesh' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[0mmesh\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mplotSlice\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mmesh\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0maveF2CCV\u001b[0m\u001b[1;33m*\u001b[0m\u001b[0mj1\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mvType\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'CCv'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mnormal\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'Y'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mview\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;34m'vec'\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0mstreamOpts\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;33m{\u001b[0m\u001b[1;34m\"density\"\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;36m3\u001b[0m\u001b[1;33m,\u001b[0m \u001b[1;34m\"color\"\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;34m'w'\u001b[0m\u001b[1;33m}\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 2\u001b[0m \u001b[1;31m#xlim(-300, 300)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 3\u001b[0m \u001b[1;31m#ylim(-300, 0)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;31mNameError\u001b[0m: name 'mesh' is not defined" + ] + } + ], + "source": [ + "mesh.plotSlice(mesh.aveF2CCV*j1, vType='CCv', normal='Y', view='vec', streamOpts={\"density\":3, \"color\":'w'})\n", + "#xlim(-300, 300)\n", + "#ylim(-300, 0)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'js' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mmesh\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplotSlice\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmesh\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maveF2CCV\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mjs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvType\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'CCv'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnormal\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'Y'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mview\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'vec'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstreamOpts\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m{\u001b[0m\u001b[0;34m\"density\"\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"color\"\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m'w'\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mxlim\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m300\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m300\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mylim\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m300\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'js' is not defined" + ] + } + ], + "source": [ + "mesh.plotSlice(mesh.aveF2CCV*js, vType='CCv', normal='Y', view='vec', streamOpts={\"density\":3, \"color\":'w'})\n", + "xlim(-300, 300)\n", + "ylim(-300, 0)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "a = np.random.randn(3)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "print (a.reshape([1,-1])).repeat(3, axis = 0)\n", + "print (a.reshape([1,-1])).repeat(3, axis = 0).sum(axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def DChalf(txlocP, txlocN, rxloc, sigma, I=1.):\n", + " rp = (txlocP.reshape([1,-1])).repeat(rxloc.shape[0], axis = 0)\n", + " rn = (txlocN.reshape([1,-1])).repeat(rxloc.shape[0], axis = 0)\n", + " rP = np.sqrt(((rxloc-rp)**2).sum(axis=1))\n", + " rN = np.sqrt(((rxloc-rn)**2).sum(axis=1))\n", + " return I/(sigma*2.*np.pi)*(1/rP-1/rN)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "data_analP = DChalf(np.r_[-200, 0, 0.],np.r_[+200, 0, 0.], xyz_rxP, sighalf)\n", + "data_analN = DChalf(np.r_[-200, 0, 0.],np.r_[+200, 0, 0.], xyz_rxN, sighalf)\n", + "data_anal = data_analP-data_analN" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "Data_anal = data_anal.reshape((21, 21), order = 'F')\n", + "Data = data.reshape((21, 21), order = 'F')\n", + "X = xyz_rxM[:,0].reshape((21, 21), order = 'F')\n", + "Y = xyz_rxM[:,1].reshape((21, 21), order = 'F')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "fig, ax = plt.subplots(1,2, figsize = (12, 5))\n", + "vmin = np.r_[data, data_anal].min()\n", + "vmax = np.r_[data, data_anal].max()\n", + "dat0 = ax[0].contourf(X, Y, Data, 60, vmin = vmin, vmax = vmax)\n", + "dat1 = ax[1].contourf(X, Y, Data_anal, 60, vmin = vmin, vmax = vmax)\n", + "cb0 = plt.colorbar(dat1, orientation = 'horizontal', ax = ax[0])\n", + "cb1 = plt.colorbar(dat1, orientation = 'horizontal', ax = ax[1])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/notebooks/DC_schumberger_FWD.ipynb b/notebooks/DC_schumberger_FWD.ipynb index 71f72e2a..aa24bfac 100644 --- a/notebooks/DC_schumberger_FWD.ipynb +++ b/notebooks/DC_schumberger_FWD.ipynb @@ -1,443 +1,484 @@ { - "metadata": { - "name": "", - "signature": "sha256:b7556968258042b90534fa310f5e2522502708190e2655f8d1be84dd18c34ec2" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ + "cells": [ { - "cells": [ + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ { - "cell_type": "code", - "collapsed": false, - "input": [ - "from SimPEG import *\n", - "import simpegDC as DC\n", - "from simpegem1d import Utils1D\n", - "%pylab inline" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Populating the interactive namespace from numpy and matplotlib\n" - ] - } - ], - "prompt_number": 12 - }, - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "DC Forward Modeling of Schlumber array" + "name": "stdout", + "output_type": "stream", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" ] }, { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Here we test the accuracy of DC forward modeling using analytic solution." + "name": "stderr", + "output_type": "stream", + "text": [ + "Vendor: Continuum Analytics, Inc.\n", + "Package: mkl\n", + "Message: trial mode expires in 29 days\n" ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Step1: Generate mesh" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "cs = 25.\n", - "npad = 11\n", - "hx = [(cs,npad, -1.3),(cs,41),(cs,npad, 1.3)]\n", - "hy = [(cs,npad, -1.3),(cs,17),(cs,npad, 1.3)]\n", - "hz = [(cs,npad, -1.3),(cs,20)]" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 13 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN')" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 14 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "mesh.plotGrid()" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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OnVBQ4GL3biG0go5HanDZXtULzW2MaGs6bHohMY1gDQoHU2wrKysxDAO/329bgzSX+iLd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\nl7y8vCYJbmKkm5izTcXrTb5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frjN9OoBGPA6bNkmsWyfxzDMKf/ubg3vvVTj0UIOSEpl1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\nEdGCroaGhkYjogVdDQ0NjUbk/wEQ1iQuXCtPvAAAAABJRU5ErkJggg==\n", - "text": [ - "" - ] - } - ], - "prompt_number": 15 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Step2: Generating model" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "sighalf = 1e-2\n", - "sigma = np.ones(mesh.nC)*sighalf" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 16 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Step3: Design survey: Schulumberger array" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - " " - ] - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "$$ \\rho_a = \\frac{V}{I}\\pi\\frac{b(b+a)}{a}$$" - ] - }, - { - "cell_type": "heading", - "level": 4, - "metadata": {}, - "source": [ - "Let $b=na$, then we rewrite above equation as:" - ] - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "$$ \\rho_a = \\frac{V}{I}\\pi na(n+1)$$" - ] - }, - { - "cell_type": "heading", - "level": 4, - "metadata": {}, - "source": [ - "Since AB/2 can be a good measure for depth of investigation, we express " - ] - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "$$AB/2 = \\frac{(2n+1)a}{2}$$" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "matplotlib.rcParams.update({'font.size': 14, 'text.usetex': True, 'font.family': 'arial'})" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 17 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "ntx = 16" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 18 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "xtemp_txP = np.arange(ntx)*(25.)-500.\n", - "xtemp_txN = -xtemp_txP\n", - "ytemp_tx = np.zeros(ntx)\n", - "xtemp_rxP = -50.\n", - "xtemp_rxN = 50.\n", - "ytemp_rx = 0.\n", - "abhalf = abs(xtemp_txP-xtemp_txN)*0.5\n", - "a = xtemp_rxN-xtemp_rxP\n", - "b = ((xtemp_txN-xtemp_txP)-a)*0.5" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 19 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "fig, ax = plt.subplots(1,1, figsize = (12,3))\n", - "for i in range(ntx):\n", - " ax.plot(np.r_[xtemp_txP[i], xtemp_txP[i]], np.r_[0., 0.4-0.01*(i-1)], 'k-', lw = 1)\n", - " ax.plot(np.r_[xtemp_txN[i], xtemp_txN[i]], np.r_[0., 0.4-0.01*(i-1)], 'k-', lw = 1)\n", - " ax.plot(xtemp_txP[i], ytemp_tx[i], 'bo')\n", - " ax.plot(xtemp_txN[i], ytemp_tx[i], 'ro')\n", - " ax.plot(np.r_[xtemp_txP[i], xtemp_txN[i]], np.r_[0.4-0.01*(i-1), 0.4-0.01*(i-1)], 'k-', lw = 1) \n", - "\n", - "ax.plot(np.r_[xtemp_rxP, xtemp_rxP], np.r_[0., 0.2], 'k-', lw = 1)\n", - "ax.plot(np.r_[xtemp_rxN, xtemp_rxN], np.r_[0., 0.2], 'k-', lw = 1)\n", - "ax.plot(xtemp_rxP, ytemp_rx, 'ko')\n", - "ax.plot(xtemp_rxN, ytemp_rx, 'go')\n", - "ax.plot(np.r_[xtemp_rxP, xtemp_rxN], np.r_[0.2, 0.2], 'k-', lw = 1) \n", - "\n", - "ax.grid(True) \n", - "ax.set_ylim(-0.2,0.6)\n", - "ax.set_xlim(-600,600)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 20, - "text": [ - "(-600, 600)" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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- "text": [ - "" - ] - } - ], - "prompt_number": 20 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "fig, ax = plt.subplots(1,1, figsize = (6,4))\n", - "ax.plot(xtemp_txP, ytemp_tx, 'bo')\n", - "ax.plot(xtemp_txN, ytemp_tx, 'ro')\n", - "ax.plot(xtemp_rxP, ytemp_rx, 'ko')\n", - "ax.plot(xtemp_rxN, ytemp_rx, 'go')\n", - "ax.legend(('A (C+)', 'B (C-)', 'M (P+)', 'N (C-)'), fontsize = 14)\n", - "mesh.plotSlice(sigma, grid=True, ax = ax, pcolorOpts={'cmap':'binary'})\n", - "ax.set_xlim(-600, 600)\n", - "ax.set_ylim(-200, 200)\n", - "ax.set_title('Survey geometry (Plan view)')\n", - "ax.set_xlabel('x (m)')\n", - "ax.set_ylabel('y (m)')\n", - "ax.text(-600, 210, '(a)', fontsize = 16)\n", - "# fig.savefig('DCsurvey.png', dpi = 200)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 21, - "text": [ - "" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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GOuWIJQA8BDBs/sYClq188MFHtB9B1te/1fHx3+svfvEHHR//fUMJolnLOj4+1kQioX19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\n9l8BMNCNn12nfB4BdY8BmHG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- "text": [ - "" - ] - } - ], - "prompt_number": 21 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "txlist = []\n", - "rx = DC.RxDipole(np.r_[xtemp_rxP, ytemp_rx, -12.5], np.r_[xtemp_rxN, ytemp_rx, -12.5])\n", - "for i in range(ntx): \n", - " tx = DC.SrcDipole([rx], [xtemp_txP[i], ytemp_tx[i], -12.5],[xtemp_txN[i], ytemp_tx[i], -12.5])\n", - " txlist.append(tx)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 22 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "survey = DC.SurveyDC(txlist)\n", - "problem = DC.ProblemDC(mesh)\n", - "problem.pair(survey)\n", - "try:\n", - " from pymatsolver import MumpsSolver\n", - " problem.Solver = MumpsSolver\n", - "except Exception, e:\n", - " problem.Solver = SolverLU" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 23 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Step4: Run DC forward modeling" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "%%time\n", - "data = survey.dpred(sigma)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "CPU times: user 4.93 s, sys: 612 ms, total: 5.54 s\n", - "Wall time: 5 s\n" - ] - } - ], - "prompt_number": 25 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "$$ \\rho_a = \\frac{V}{I}\\pi\\frac{b(b+a)}{a}$$" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "appres = data*np.pi*b*(b+a)/a\n", - "\n", - "\n", - "fig, ax = plt.subplots(1,1, figsize = (6, 4))\n", - "ax.semilogx(np.r_[100., 500.], np.r_[100., 100.], 'k--')\n", - "ax.semilogx(abhalf, appres, 'k.-')\n", - "ax.set_ylim(90., 120.)\n", - "ax.set_xscale('log')\n", - "ax.set_xlabel('AB/2')\n", - "ax.set_ylabel('Apparent resistivity ($\\Omega m$)')\n", - "ax.grid(True)\n", - "ax.text(100, 122, '(b)', fontsize = 16)\n", - "ax.legend(('True', 'simpegDC'), loc = 1, fontsize = 14)\n", - "# fig.savefig('comp_dc.png')" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 26, - "text": [ - "" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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- "text": [ - "" - ] - } - ], - "prompt_number": 26 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 21 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 21 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [] } ], - "metadata": {} + "source": [ + "from SimPEG import *\n", + "import simpegDCIP as DC\n", + "from simpegem1d import Utils1D\n", + "%pylab inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# DC Forward Modeling of Schlumber array" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here we test the accuracy of DC forward modeling using analytic solution." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step1: Generate mesh" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "cs = 25.\n", + "npad = 11\n", + "hx = [(cs,npad, -1.3),(cs,41),(cs,npad, 1.3)]\n", + "hy = [(cs,npad, -1.3),(cs,17),(cs,npad, 1.3)]\n", + "hz = [(cs,npad, -1.3),(cs,20)]" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN')" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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Qucl4q0oiFAohyzI+nw9HUvPccDiMpmm8+WY2f/mL+a03aZLK5MlaQs/RMWMc\nnHuuTuvWBnff7WDFCpnhwzUWL5Z54YWD/PvfuXz5ZcZ/FwoOM7KyDEpKSr/Ee/bU+Pbb1Omsa6+N\nctddEXJzoWNHP3/+cwyHA7791hRtq+fCmWeqzJtXWloWiUSQJKlW52JVKSkpsd1dZsyYQdeuXbnw\nwgvr/XXB1IsBAwbg9XpZvnx5QnS/Z88eTj75ZPLz87sYhvFDqudnbE7Xoj4jXcMwbEGWJLOjknUZ\nUd4YnTqZ44wapbFggcyMGQrduhn06WOQl6fz5psKb76p0KKFwUMPqXTvbtCnj878+Qp33pmNwwGv\nvRZjxQqJSESy874CQW2IF1wApxPuuivCF18o/OMfEU491VwV69tX45FHIvbjmjc3uOgileOO09E0\neOYZJ3ff7SYclrjwwobZ3NPQHcb27dtHIBCwLb58cSF/q1at+OMf/0h+fn5foHGJbvJW4NqOldyI\n2RJbAK/Xi9PprFK+qksXg5YtDV56yexFGgzChg0Sb70lc9NNpYK9d6/E2LHW76awnnBClNmzFRwO\nWLdO4YMPRHpBUD+sXauwdq057z7+2JSBDh10rrsuse49FJLw+Qy+/lpm4kQPfr/Bp58Gue46D8ce\nW9aqJ53bcRvKCfi6667jgQceYOvWrUyaNIk777yTZs2a4fV6KSgo4IsvvgBYX97zM1Z0LazmF7Uh\nXnQtsdV1HZ/PV2WxtcbIyjK3SFocPAgvvaTwzjsy99yj8uuvEs2bG5x9ts7cuTL/+U/pR/DKKz5e\neaX818jJMSgqKj2W7t01Nm0SkbCgdrRtq7Nzp8z27TLXX+9lz54IPXtq9O6ts2ePxN13u/niC4X7\n7otw6aXmNuBAgAYrGWvIBuYvvvgibrebSy+9FF3XOfHEE9m4cSO33367XcI6efJkrrzyyi3ljZGx\nolsfkW5xcTGapuH1eu1qhOqOYS2k7d8P06crPPecwtVXa6xfH6V5c5g6VSEahQEDDAYM0GjRAoqK\n4P/+T2bQoCCzZmWV+xrxggulC24CQXXp2VOlTx8VXTd49NEiBg1qzk8/ORgxIsz+/QZPPOFk2TKr\nCxisWhWgadPS5wcCUpmGN+miIf3RrrzySq688krADPhWrFgBwJlnnlnlMTJ+xaa2OV3LoBJKd5q4\n3e5qf2Nbx2EY5hbLNm3c/PijxFdfRZk6VaP5od3APp8pyhY+H/zwg8SaNTKzZmXRurXBH/5QtS+R\nLVsy/uM3XXshAAAgAElEQVQTNBCPPhqha1fIylLw+XxomkynThpXXhnl8svDqKpB9+5mznbWrAJ8\nvkhCI3KzZCxxzHSWjMW/TklJScb4o0EGR7oWNRVdKwkei8XweDz2vzWdNNZxKIeu9mXZYOlSmVNO\ncZGXp9O3r0FenkFRkbnLB6CgAB58UKGgoPQ1d++W2L078Rj8fnOSFxVFeOABhbfekvnxRyG4gppz\nxhmlivn006XVBn//u5/ffpO4444ol10WpWtXBy6XM2HXpWEYBIPZKEqIaFS2XSPSRbK4a5pWppro\ncCZzjjSJmu5IK8/GxzLVq+03tSRBu3YGixZFad8etm6VWLtWYt06iccfV1i61JyczzxTNhcrywZr\n14Zo1y7KnDkSU6dms3+/TCBgHlPLli5CIZFSEFSfXr00Tj1VY8YMFyNHxnjwwQijRnnLlI1t3mz+\nvmSJg2+/lQkGJbZudXHMMTpWJVgsZqCq4PMp6Lpm+58BRKNRW4StbmB1Hf3Gn6eZ6NaSsaIL1bPJ\n0XWdcDhMJBJJ6ZlWF5Y91vOzsszIVJYNOnc2f0aNAlXVaNPGRWGhOWFatDDYu7d0Quq6xFNP6fTt\nq6Cqbvr3h/x8g1GjzB4Ns2erXHmlaAcpqD4bNihs2GAKakmJhCxjC67TaRCLmfPwq68C+P0GGzbI\nduvGUaO8/PabRLduOr16abRrZ6DrEi6XEyh1fwgEAra7drInWrwQW2Jcl2SKawRkuOhC5WIZL7YV\nOUvUpej6/ebqroVhwDvvyEyZotiCO368ytq1coLoAqxZ42HtWjlhg4TVFEcIrqAuWLzYwXHHlS7Y\nTpgQZfp0N61a6WRnG7RubdC2rUaHDgarVil89VWQoiLYuFFh3jwH995r7vbRNOx0miV6ydU+liV7\nskFlbcwpkyPdTBJcyHDRtSLdVNUL8c1onE4nOTk5KErFZnq1FV3rdX2+0rKxjz+WuPtuB6oK06er\nuN1w770Opk/XiMXCfPRRjLFjc3E64ddfZZxO+OabzJpEgsxl2LAYEyZEmTPHTF1ZluuQuNXX6YQl\nSxTeftvBX/4S5cMPHcSfTuWdO1az8XiSbXii0Si6rtsNypOFOFlU44XW2pmWSWS06AJlvvEsG59Q\nKITD4ahUbOPHqat636wsgy+/lHn0UZmtWyXuuUfloot0ZBm+/loiECgtT2vWzE+7dnDWWToQ4q67\nDBTFyZAhTlasEItlgvrlgw+cjBlT2gHPtFw3z4Ng0CwL++gjhYkTPeTlaXz5ZZDffpP4/PPU51RV\na9otc0qLZHPK+EW7eBFONqWsbi/dw4GMP6vjo91IJEJhYSGxWIzs7Gyys7OrJLjWOHUluu+/r/Dg\ngw62bJGYPl3ltNNMwTVN9YKUlBg4nU5yc3Np0sRlRxShkMSSJTI+nzul4LZsmXmLBoLDjyuuiFFU\nVMyZZ6rcdluEgQNLrdYHDvTTrZufiy/2Mnashy++cDBxoodHHgnzwgthWrUyDolx4ph10dPasmx3\nuVxlLNst04JIJIKqqsRiMZ555hmefPJJIpEIO3fuTDh/y/NH2759O16vl7y8PPLy8hg/frx9Xzr8\n0SDDRTdeKIuLi4lEIvj9frKzs6tdQlJXNuwAbdoY9OunM2KExiOPKHTt6qJLFwejRsnMnu3lhx8c\nFBWZ5WlerzmJ16yRmDHDx8iR5mxesiRKmzYG552ncfPN5pbi4cN12rcXwiuoGR06mGm47t1NkdV1\nGDxYY+RIlQ4ddPx+gx07SnjvvSCRCPzyiykPK1YEOPPMUmE2d6OlZx5aUbHL5cLj8eDz+ZBlGafT\nSbt27SguLubbb7+lf//+HHHEESxZsgQo3x8NoHPnzqxdu5a1a9cyc+ZM+/Z0+KNBhqcXotEoJSUl\nGIaB1+ut0aYGi7qMdC+4QKNdO5gwQSUcDhMMhtm508N33/lYutSMvHv3NjvvN2lisHOnxM6dpRH5\n8OEa//2vzK5dEl26mG7CAJdeqnH22TojR4oFNUH12b7dFNH//McsAfvhBxmvFw61GMHrNVi/XuaW\nWzy43Qa33BLh11/lMlFtMNjwvXRlWebMM89E0zQ6d+7M3//+d3755Rc7v1ueP1p57NmzJy3+aJDh\nogtmM5pQKFSt1c9U1KXo+v1w8KDKwYMHcTqdNGmSQ/PmCn36GJx3nsobb8js2RNlzhyZG24oK6Dz\n55cK8CefyHzyiXmyDBkiTCwFNaNzZ53OnXUWLnSg6/DUUy62b5c55xwfkmTYRpUjR3q5554Il1+u\nMmeOk+LisudEINCwvXQhsYG5tRvtqKOOqtJzt23bRl5eHrm5uTzwwAP84Q9/YNeuXWnxR4MMF123\n242qqkQikQaz7EnGLA43KC5WUqY5vF5zsWLYMCc//STx0ksxxoxx8uqrMV55xWDatBCbN/v4+msp\nwT9NIKgNP/wg88MP5pf3ccfpTJ4c4ccfZf797zDXX+9hzx5TxFauDHLEEdZCmjlfk2noSDfeH23z\n5s04HA5mz55t31+RP1rr1q3ZsWMHTZs2Zc2aNYwYMYKNGzem5bgtGsVZ3RCWPcnEYjG7HrFJEz8F\nBQ4cDjXhMdu3w5Qp5p/8449lBg/W+eorc6Ju2WIaALZtq3PssTrDh8OMGQpXXaVTXAyvviq6iQnq\nhk8/dXDaaeY8HDEiMWSN102reiGZho50LdGdP38+jzzyCAMGDKiyCaXL5bKbrPfr149jjjmG/Pz8\nGvuj1YSMX0iz/m0o0VVVlaKiIns3jtvtJidHTmjvuH8/3HGHwoknuujc2cDjMVi3Lspdd6m0aGE+\n5p57HCxb5mTYsCxuu03h5ZdlwmEJXSdhA8W//qUmeK0JBJXRtKm5SHbqqWYQ0KWLVu5j+/b107Wr\nWb0wdaqbjz5ysG2bRPypkarDWDrbOsZTlQ5j8c/Zt28fmma+/61bt5Kfn0+nTp1o1apVpf5oAPPm\nzeO0006r1XvIaNG1qI9G5pVhdScrLi62d7pZeWWrvWMwCA8/rNC7t4twWGLNmih3361x5JHgdhuc\nfrrB7bdrtG1r8NprMTp21LjjjhCtW8OiReZH8/TTCkuWmP/v108nFoNdu8TmCUHVKSgw+3dYzcrz\n80uvmkaOjHH33RE6dNAZMkTl559LWLgwyJgxZoexNWsUhg3z0a5dFkOHernjDjfTprnLtfpJF5WZ\nUpbnj7Zs2TL69OlDXl4eo0aNYvbs2fbzK/NH69KlC//+97956KGHanXsGZ1esP7wVg1fbceqag8H\nq2GOx+OxfZrix9A0eOstheXLzRTCJ5/E6NKldGy/3zjUuMa8zYoa3G446aQYJ56o8fDDpZO6Y0eD\nbdvM9o9r1jSK70lBA9Ojh8bGjQpPPhnmqafMxVyfz0CSoEMHgw4dVMaMiTJokM6VV8bYv1/i669l\n/vxnM8n74Ydld5kdTg3ML7jgAi644IIyt1944YXleqn179+fDRs2lLnd7Xbzxhtv1OKoE2kUZ3A6\n0gtmO7sghYWFAOTm5uL1ehMmgDXGggXmn3X3bon9+yWee07mzTdlfvzR7MPg8yX2ZvD5zNsPHpSY\nNctDr14uCgpMh4krrtDYtk1EtoK6w+s1eOqpMGB+0VutRpMXzQIBs44czJ7P//iHmwEDNP7wB5WZ\nM0MJj22obl/pbGBeVwjRrWSMeNt1XdfJycnB7/dX2DRn4kSNfv10fv45wl//qpKTA2++KXPWWS6O\nOsrF11/L3HKLgzfekPnhBwm327z/l19kPv3UycKFMf7zH5X9+yVefrk04r3mGo2ff46UeV2BoDp0\n7aozYoSpsKef7mPqVDfbt8t8951MOFz6uFBIQlXh1lvdjBnj5fbbo8ybF+KII4yUC2kNEekmG0Nm\nAo0ivVAfohtvu64oqcu/yhvD8kk78kg480wjYTfP3r3Qvr0LpxPeekvm73+X2bGjdBJdeGGYjz7y\nMXp0WVF/7jmF335LvO2GG2I88YTYLCGonOHDQ8yf7+XFFw/gcMj06tWMKVNCnHuu2XFswwaFdu2y\n6NRJp3dvnQ8/dPDhhw6uvjrKypWldj0lJakX0tLRyDxVGiOdDdTrgowWXaheT92qYDXbsJyAK7Jd\nLw+fz7AbjyfTogWMGKFz4YXmD8Bxx7k49VSd559X+MtfKm7e8f77iQsYQnAFldGmjYYkScRi5ume\nne2goABattTp37+E0aNlPv/cxfDhUe68M8zHH7u54gpzZ9fVV0eZMSPx6ioYLGtKmS4yvYE5iPRC\nwhhgtooLBoN4vV5ycnKqJbjxkW58zjYZrzfx/qOOMnj++VIxHTxYZ/To1AuDvXol3t61a+03dAga\nN7t2KezcKfPBB+ZcfvNNLytXeg5V2vhRVQeSZKa55sxxcdNNXm6/vZjOnVWuvLKEaDSKpmn2OZaq\nfrch+9qKfrpppi4iXcsvDcwmzDX1SovfBlyR6Pr95n73Awfgn/9UWLlSpm1bgz174Isv9rNvXw5r\n16b+PuzTB+IXWL/7rlF8bwrqkSuvDPPFFy7bV++bbxReftkU4IEDfXz3nfmF/8gjPv74R5UlS4J0\n7mwwb55EdraMYZi7Pq2etyUlXtzuGKpq1IsLREXEi7uqqlXuIng40SjO2FIn3uoJr67rBAIBioqK\n7F6dyZ3va3IcLpfZwSkaTf24khJzM0SfPi4CAYkLL9S49VaNI44Aj8fgtNN0bryxhNGjg1xzTZi2\nbUuj2XgnYYGgKuzfL9GihW5vipg5M8zixUHy8jQeeywxdfDeeyG6dDGFLRSSyMlx4Ha78fl8+P1+\nvF4vwaCE16sTi8UIBoMEg0E0TbNbLlo2PfVBci/dTHIBtsj4SBfKNjKvDMMwCIVCZfzSYrFYnVj2\nSBJ2isEV16NG180qBWtLr8djoOuwdKmMYegoikEgYFBYWIiiKOTm+tF1sxOU5WN1xBE1PjzB75T3\n33cn/D5vnoMDByTWrlX48589gFk7/r//G07YBhwKlZaMQelVZTAo06SJE6/XaQc71pVicvPx+vRG\ni292k0lkfKQbv0GiMsFMVf5l9ee0xqovn7RPP5X44x+dzJihcNZZGtdfr7FoUYzevXUOHpR4+22F\n3btlTjmlBX/7WzPmzs1lyxaFaNSs37WMA10ug549dQYPNqPf225TyxyHQBDPtdeGycsrXQt48kkX\nt91miu2MGeZ9LVoYKep0Uy+YxS+kWc3HgTLNx10uF5Ik2c3HA4EAwWCQcDhcJk9cVUSkexhRkWBW\ntfyrLqsg/H6zgmHzZrjrLoWNG2Xuu8+07Zk9W+b772UGDTIYMEDl4MEov/wCn37q4ZJLSsjK8rFi\nhWzbtcdzxRU6GzfKdg9UgaAynnrKk/D7qlUKXq/BiSdqDBmiceed1qad0rkfM3cBk7yOHIuBqpqb\nKuJJPm8q80az0hFWnjg5Ii6vDCxZdDNtYwQ0AtGtqFbXsoIOhUL2Sm1F1Qh1FekahsHWrRJXXeVg\n1y6J227TePXVqD1RvV4oKTEtq6PRKH5/Drru4ogjJLp3Vzn3XI3PPzcSNkZYXHONg82bSyfkI49k\n/EcoqGcGDFBZvbp0nrRoobN3r8zSpQ7OO89rL6T99puMYWhIUvlRrnV7qixBZamDeG806zxMNqm0\nuvXFm1Ragpx8for0QgOT/IGoqkpxcbFd/pWdnV2l8q+6cAQG0DSJdetkjjzSYNcu04I9P19C0wyc\nzihFRWYokZubS26u89DihMHGjU4uvtjJ2LFOBg/WGTdOQ5IMhg41Lw/Xro1x7rm16zMh+H0RL7g9\ne2r8+GOAf/0rTFaWwbJlpfdNmOChffsszj3Xy623eigslPjuO5n4tibl9dKtKZYQO51O3G63nZ7w\ner32+WoFToFAwBbmRYsW8dNPP5GVlVXJKxx+NDrR1TSN4uJiiouL7UUyK7dU1THq4jhOP13n+edj\nPPKISsuWsGCBzLnnOmjVysXYsX4WLPDywQfZbNtmLpTt2CGxaJHCPffkMGiQzvr1Ua66SiMWA4ej\nNOrQNHjvvcwrkxE0LH37msrZrJlBQQH89a8eSkokXnklRHa2Qbt2Ol98EeDrrwPcckvUTjVccomX\ntm2zOO00H7fe6uaJJ1y2d1oydbVIFm9SGS/ElhWPLMssWLCAp556iltuuYXjjz+ea6+9lqKiIgBu\nv/12unXrRp8+fRg5cqTdLwVg2rRpdOnSha5du7J48WL79nSZUkIjEN34DzoSiVBUVITD4aBJkybV\n9kyrS9HNzjZwOuHUUw1uuinMrFn7WbVqH+vXB+3Fr3nzzH4MY8Y4WbbM/CgGDIhy4YUqbreZhrC6\n93sOpeX69xc70ATV4847Q5xwgim6n37qYNAgU7yuvTbKeeepdhmix2PQooXB6adr/OUvMXr21Pjm\nmwDffVfCvfdGiMVMfzUgob9uujZGWK/hcrl44oknuPTSS3njjTd47LHH6NOnjy3KZ555Jhs3buSb\nb77h2GOPZdq0aQBs2rSJuXPnsmnTJhYuXMj48ePt8z1dppTQCHK6uq4TDAaJRqO2f1FN92LX1UKa\ntUGiqEinuLgYTdPw+XyHbNclzjtPZ9kynblzTfF9/nmZv/zFFNPVq10MGaITi0ns21c6ka38bvJm\niKFDNT78UES+gvJ56KHEsoS7746Qny+TnW0ujEmS+W9835h4qx6PBz75ROH99x1cemmMrVvllDnd\n+ib53CwuLqZVq1YMHDiQE0880b79jDPOsP8/aNAg3nrrLQDmz5/PZZddhtPppEOHDnTu3JmVK1fS\nvn37tJlSQiMQXTA/DPehVaraNL+oi29rq6G6yxXjwIEoTqeTrKyshLGtJucW3boZDBxoloE1bx5i\n4kSJvXvNvO7HH1f8foTgCsqjSRODgwfLzulHHnGzbZs5r7ZskVFViT17JOKLDazc7YoVCjfe6ObY\nY3W+/DLIt9/KPP54okFqurcApzKlLI85c+Zw2WWXAbB7924GDx5s39e2bVt27dqF0+lMmyklNALR\nVRQFv99PJBIhZtW51JDaRrpW5UJJSQlZWU3RNC8eT9neCF5vYkMcn88UYY8HQiGZSMRg7lwlpeB2\n6aKTn5/xWSFBGogX3DPOUFmyxME110R57LEIV1/tQZLMvh8Wxx7rp08fnT59NL77TmHlSoXvv5d5\n+OEI55+vIkmwalXZhbR0ES/uw4cPZ/Xq1axevTqhNC3elPLBBx/E5XIxevToBjne8sh40bVoSJ80\nqw44eCh89fl85OY6yt2ya/VesPD5DIJBCUWB117z8PrrEj16GMyZE+Pxx81ItnNngzfeUDj9dIP8\n/GofouB3zOjRUXJzYcmS0rUBlwtOPlnlhBM03n7bwc6dErt3l7Bxo8w//+lm5Upz3q1YUdrSEVKX\nkjVEs5v58+dz3nnnsWjRIvsqN57nn3+eDz74gKVLl9q3tWnThh07dti/W+aT6TSlhEa0kNZQohuL\nxSgqKiISidhlafE+aalIdo7wemHrVolp0xxs366wY4dE9+4G27dL5OdLeDzYZpR33KHy2GMxBg40\nI+iOHTOzvZ0gfbz6qotZs8yUwPz5Zp13SYk5D8NhCUmyrrYkZs1y8cMPMqNGxRgzJpoguJC6ZCxd\nJIu7qqopy0AXLlzI//7v/zJ//nw8ntKNIeeffz6vv/460WiUbdu2kZ+fz8CBAznqqKPSZkoJjSTS\nraueutUZQ1VVgsEguq7bi2Txx+H3G5SUpP5Os9IJhgE//ww33WR+DAMH6jRpojJunMo337h44w2Z\n4mKJL7+U+PJLc6y331YIBEqL0/furdVbFjRicnMNCgslTjxR5cABie++M7eajx7t5ccfZd57z0m/\nfho//2zOrcGDfVx+eYyZM8O88IKTH34oO3+DwbL26w3hj2adp6led8KECUSjUXtB7YQTTmDmzJl0\n796diy++mO7du+NwOJg5c6b9/JkzZ3L11VcTCoUYNmxYginlmDFj6NKlC82bN+f111+v9ftoFKIL\n6Yt0rWqJWCyG1+sttyytovaODgfousSkSQovv6wwdqzGokVw3XUaCxcanHlmjPPPVxg3TmPwYBet\nW5snz9atEtOnKwluwCUlmdVLVJA+CgtLvc9OOcXM095/f5ibb45x8sk+zjpL5b33SiXgrbdC9O1r\nXkGVF9EeTvbrkFp08yvIv02ePJnJkyeXuT1dppTQCNILUPeRbnleaZYxpSzL5Obmpuy7W1kjc1WF\np582/+wzZjg4/XSd3r3N13M4zM5O1uv7fGbut3Nng/PPN+ssH3xQNLgRVI+lSx08+aSZXli5UuHA\nAfP277+XbSv1Tp10W3AhsWQsHlOM6/2QyyXTXSOgkYgu1LynbvIYyVTWmay840hl2bNkicTAgU7e\neMOc6E8+GaNHD4M33zTHuuoqJ++95+L++z0sWCBz4IApuh4PHDhgjnX11U6GDFHp1cus1LjsstpV\nbAgaL5JkfXkb5Oaagvree046dMhm7VqFd95xMmVKkLZtdbKzE8+b8iJdMxfccJGu9TrhcBhvqm+F\nDKBRpRfqahxLuOOb5VTFmNJ6vq7rCemFTZsk7rzTwdatMG2axrnn6vTu7eTEEw2OPdY8Gdq3l7nt\nNo3bb3fgcBjMmSPz9dcOYjGJl14qrcV98MESunWLMnWq6aUWiYj0giA1hmHOjWBQols3ncJC6NBB\no6hI4sABmU8+KeDbbxUMQ8ft1gmFQnaDmWDQhcdTVnQPl4W0gwcPZmSzG2gkohtfwaDreq0sPCRJ\nQlVVwuFwmUWyqj7fSi9s3y5x440O5s+XmTRJ49prNbupeaoKhpYtDfr1U5k0KYTPJ/PhhzIjRyau\nzv7974kNPj74QGyOEFTO5s3mPNm+XWHjxgJOPz2XZs0kolEHkiSTlWXgdDrRNI1YLEZxsY6iRAiF\nogmdvsorGUu3I2+mdhiDRiK6FlVpZF4RVlPlQCBQ4SJZRViiu2GDxG+/STzzjMLtt6v06qUTiZAg\nuvElZdYlWygksXmzwpQpTqzSwcsvD5KTIzFrlpfnn4/gcOhccYV5aRUOi0hXUHVefrmQli11wmHz\niz4UMgADt9uwxdPhcBCJOGjaVMfpNOzOXrquU1zsxuGIEImothinK78aL+4HDx7MyF660EhyurWt\n1bUWyawuRX6/v8bmlBannmqmDebMiREMwpQpDjp0cNG3r5OxYx0sXy6zbJlMOGw+3ueDvXtNwR0x\nIpuhQ2MsXbqPtm01XC6nndoIhQx69NDp1Em0dxRUnYsuMhdgmzQxT/lQSEKSQpSUmPPUsuWxzqFg\n0MDl0uxLessVIhJxkJOj2FeEoVAITdOIRqP2rtCaOEJUhfj0goh0DxOqK7qGYRCJRAiFQoea0eQS\nqMjGtxrHkJ1tRq+jR+uYuxDNNo2bN0usXi3xyisK993n4JFHFI47zmDtWpnVq80T4uOP99KiBXi9\nXnw+c5Lpuvm+AgGDSCTE1q0NuIQsyDjmzTNP9Tfe8JKV5SQcljjyyBxiMQdg9nJWVRVN0w6lEfwJ\nljxWs/FAALxe3RZiSZIIh8MoimJb89SXR1r8uZ2pVj3wOxVdy1EiGAwiy3LCIllduUdY5V66Dla6\ny+mE3r0Nevc2WLZM46yzdC64QGf9eomTTy5tIjJoUAt69zbo109nyxaZli0NOnc2I5KXXnJw//2l\n2xA9HkOkGAQpyckx+M9/olx1lZt+/TTWrFHYvFniz38259qJJ3r59ltzcm7e7ESWs/D7TXENh2U8\nHt0WYqvZeEmJWadrzXPLcsdaR3E6nbhcLvsc0jTNzhPrul7GDaK6Qhxv1dO8efO6/HOljUYhutVJ\nL1g7yUxhLLtIVleiK8ul/XBTNbe3tgl7PAZ9+oQ55xyd4cNVxo/38803+/juOx/r1jkAJ599pvDZ\nZ+ak/uYbJ5dcojJ3rnmyCMEVlMegQTqybDpJ9+ljsGYNzJkTJTfXoF07H/v3lz52zRqFdu28dOxo\nkJens3atgy1bvPTt6yInx7B9zYJBcLtVwuHSUkWHw5Fgp6PriU2erHOsMiFOtuZJJj69UFxcTMeO\nHevhr1b/NArRtahIMDVNIxQKVbqTrD4cgVOJrs9nUFysU1RUhCRJ5OT4AOnQfRIDBpTQv7/BokXN\n6NhRY/t2J599ZlYyJPfUTcbtNkQpmQD10D4ac8HM/L/HA08+ac6jq6/WuP32MA8/7MThMJg4UWXT\nJtNm6pVXHNxzj4vbb4f27Q369tXJy9PZs0chN9eNJJkLaU6nE13X7YgXsMXTcoBIJcSWUFvnSrJZ\nZSohTjalbJrcGCJDaBSiW1Gka14qhYlEIng8Hvx+f4WXM3XrCGwWk7dsmXi7pmk4HBqFhToejwen\n03koKjbTEprmxuEIH+rhICFJMl5v6aTdtq3i1xWCKwBYsULm8stNoY1EzNsuusjN9u3m/LjrLjNa\nDQbhyCNNh9+8PIO8PI177jH46qsQTZuadeZLlypMmmSmJQoLQzRv7ilzlWhtTrIiWesHSIhgLQHV\ntMTF4FRCrOs6kUjEFu1gMMjTTz/N/v37097ZrK5oFNULFvGCae0kKywsxDAMcnNz8Xq9lX5QdekI\n7PebLRstzIWIAEVFRfj9EqrqxuFwHHKWMAvP3W6DAwfCuFwusrKyyMqSkWUHixeXtq8rKpIZOdI8\ni269tZhFi/bV+HgFjZdQSGLcODe//SbxzjtmfNW+vc6770bo0UOPe1zZJjbBoBk0OJ2wdavM4487\nuPbaANu27eXYY30pfQctQXU6nXaAk52dTVZWlv14TdOIRCJEo1G7ysHaxg9mQGKJLZhi7Xa77W5h\nsViMHTt2sHz5coYNG0anTp247rrrgPK90bZv347X6yUvL4+8vDzGjx9vH3M6vdEsGpXoyrJsr54W\nFhYSi8XIzs7G7/dXuXi7LkTXIivLjHTjvwAAcnJyyMlRCAZLL7tcLpWDB01DQFkunaTvvqvw/POl\nF5iiW18AACAASURBVCRLl4ZZvTrEWWeZvz/6aDZDh5YuKDRvrrNw4V6mTi2q8XsQNA66ddO5+ebE\nbeI//CBz6qkeNm6UufFGF88+6+CLLxTi9xMZhinExcVw+eUu7rnHwdNPF/DwwypHHln1cwmqJsSq\nqhKJRIhEIgnlZta5ZKUvwCzn/Oc//0m7du3Yvn07H374IZdccglQvjcaQOfOnVm7di1r165l5syZ\n9u3p9EazaBSim/zhhEIh+8Otytbd5LHqqnGOzweFhWbj42g0SnZ2Nh6PB13X8Xh0AgFzwpWUlODx\n6GiaG59PIhSS2LcPbr3ViaYlRhM33uhizRqZAQN0RoxQeemlCPv2lXZE379fZsKE5kyenJPwvH/9\n6yDNmpkCf/zxomnO74HNm2Uee8zM3/76axCv1+Crr8LMmxfG4zHo2VNn1SqZTZtkbr7ZxYknerjh\nBhePP+7AMCQGD/bQtm2Ejz8u4NRT3Sl719aEVEKck5OTMiIOh8NEo1FUVWX16tXk5+czb948Nm7c\niNvt5rjjjmPIkCGA6Y1mfSEMGjQooTF5Kvbs2ZPSGw1gwYIFXHXVVYDpjRbfDL22NArRtSxyrD4J\nOTk5NZ4gdSW6qqridscoKIji8/nIOrSaputmjaPPp1NUZEblptOEk1BIwumEf/3LSf/+XhQFduwI\nsmZNiDZtdPx+g6OOMli8WOGii9y8+66DMWPc3H9/6Xvt0EHHMKB//8R82V//2oQDB8yPO5WFkKBx\nMnVqhMGDNXsHGpi9mE86Secvf1GZPTvK0KEaL7wQ4d//jtKihcGdd5q52xdfPMADD6g0a1Z+g6e6\nJFmIfYdyHrIs43a7eeeddxg5ciQ33HADHTt25B//+AcFBQUpx5ozZw7Dhg2zf9+2bRt5eXmccsop\nfP7554Dpf1Zdb7Q6eZ91MkoDI0kSbreb7OzshPxQTceqjejqum5vJc7OltB1H4qiJCwamI1FIkQi\npr+bw+HA5zNYsEBh/XqZN95w0LOnTr9+Onv3ms4RsgxDhmiMG6fywgtRvv02zIgRKsOHqwkdorZv\nl9m6VeLss0tf7/jjNRYsCDN4sHmb398oPnZBFZg82c2KFQq33KJw4IDEli16mU5hwSA0a2bw3XcS\nzz2nMHFiCTt37uOPf/TWWXRbHQzDIBQKEQwG8fl8+P1+PvroIzZs2EDLli3p3Lkzu3fv5rXXXuOP\nf/wjvXr14r///a/9/GRvtNatW7Njxw7Wrl3L9OnTGT16NMXFxWl/XxaNonoBzGbDqqo2qE+atbsN\nzNxTVpZMSUlpKY21gOByuTjiCC+hkLmau2WLxIQJ5kLZjBlROnXS+eYbmYULFR54wMlPP5kiuWOH\njCzD8cfrtG5t0KqVwRFHGHazaoANG0J8+23p7jaAr75SuPRS2V7UW7SoNIH3zjthLrig1NJE0Dj4\nwx80Vq+WefDBKJMmuWxvtHPP9bJrl/n5T5oUIy9PZ9kyhdWrZTp10nj99QMMGODE6fRVMHr9YaUH\nFUUhOzuboqIi7rjjDmRZZvHixZWWiaXyRnO5XLgONT3p168fxxxzDPn5+Wn3RrNoNKILiZUDNY12\na7KV2NrdZk2UQCBAJBLB63VRUoLdtczhcJCVlYUsy/h88MsvEnfe6eS11xyccIJGTg6MHWvmW63e\nDQDbtkn07GleG86fby58yDL89pv5Hlu3Nh970kkanToZdOqkcf75Gtu2Sbz9toOmTQ369dNYutRx\n6JhL/zaLF5snYJs2Ort2iQi4sbB5s0w4LNG8OZx3nsZNN+msX6+zalWEhx5SeP55J9nZBmPHmnt9\nW7dWef/9/fh8Trucq7bbdquDtdhs1dE7HA4++eQT7rnnHiZPnsyIESMqPRbLG23ZsmUJ3mj79u2j\nadOmKIrC1q1byc/Pp1OnTjRp0sT2Rhs4cCAvvfQSN910E1DqjTZ48OA680azaHSiWxdj1MYnTdM0\nXC4XqqricsUoKDAvlRwOBw6H49DWSYMHH3SyebPM5s0yDz8cRVHg/fdTt2k8+mgDRTEYN06lSxeD\n/v11Ro0yI+OsLINjjjHYvRs+/VTh6qtdDBig07+/jlWPXlAg2YI7eXKEO+7QaNLEjGSsjRZCcBsX\n+/dbTe/NeZKTA/n5ErEY+P0SPXsafP65i379YkyfXkjfvk7Aa+8UC4fNOnFFURJ+6kOIrehWlmWy\nsrIIhUJMmjSJ/fv388EHH9CiRYsqjVOeN9qyZcuYMmUKTqcTWZaZPXu23aEsnd5oFlIlApMxnhjW\nHvGCggJyc3NrnPg3DIOCggKaNm1a7uTSdbPhczQaxev12nvNrUUy61v70UfdFBc7uf/+iL3j5tNP\nZe6+OxvDkOjfX6VzZ4M1a5wsWGCK4umnawwYoDNggEa/frq9sSI318uIERrz5jlo1UrnvvtiXHqp\nZvd18PtNEZ01K8KaNWZ6Ye3aRBEfNEjjoos0xo9X7ccvWhTmrLNEeqGxcfrpGsuWyVx0kcZrrzlo\n21Zn5045YbfilClFjB8fw+9P3VHPmrPxP3UpxFZKLhqN4vF4cDgcrFy5kr/97W/cfPPNjB49OmM3\nQGBtL011R2MT3YMHD5KdnV2rRublCbclpuGwuXnBuoSJ3+IYjUbtvO1zz/nZskXm0UdjbN8u8fe/\nO1m7VuaBByKce24UXS+dzOvWObj66qZMnx5i7Vona9Y4WLNGJjvboFcvnQ8+KL0o+eWXINnZicfs\n9/to0sRg164Q+/fr3HuvwrPPprYzOeEEjeXLE/8+552n8t//NqoLHwFmFUuzZnDddTFuu81FdrbB\nhg0KkyaVMHmyXu2SyroSYrOPg9lwyuv1Eo1GefDBB9myZQtPPvkkbdq0qe1bb2gav+ha+7YLCwvt\nS/2aUlBQQE5Oji3cyXlba2dbvNjG5209Hg+yLPPiiwqLFil06WIwZ46DG2+MMWGCWsbwzzAMNm2C\nK67w8OWXB+O2T8o884yff/wjsXlDt276oWhYp39/jZ49DTtd8OijAaZO9XDOOTFiMYXu3Q127pTo\n0MHgl1/+v73zDq+izt74Z25JowQWpChNkhAIgQCpqEhvsgKK0vwliKCgIlKWIoKCLiTqIkVhcSnS\nlCKCsFJFqisJJBBAQEC6kERIIJXcNt/fH8NMbkICpENy3+fJA5mbO+3OPXPmnPe8r4ROB8nJsGhR\nyXelHSg56PXiLo43wPTpKbz+ugU3t8LpRdsjP4EYyJbdGo1Gjh49ytixYxk8eDBDhw4tcReKYkKe\nJ7fMpTaFdY+A7HXd3FTJ1FFFlcSt1r/c3NyyZQ7Llxu0jHL1ahNduthwds59exUrKkMRqtne77/D\nhAlOXLoksWZNMm3bZvLVVy5cuGAkNNRMbKwThw4ZWbDAmUuXsj7f0aMrsHTpbV56STBtmh6TSZmp\nN5mUhtwPPxiyjYAmJmZQrVrpdKodKD7kDLh16tgYOTKdYcPAYChaQ0dVmMY+0bEPxPY1YlCu9127\nduHt7c2GDRuIiorim2++oWHDhkW6Xw8rykymq1qKpKWlYTQacc4tuj0gkpOTcXFxwWq13rdua7Va\ntTt2zsxh1y4dEyc6ERQkEx2t49w5CR8fmcBApdEVECDj4SHuMBEgMNCVY8duEx6uMBrGjrUwfLhV\ns/hZtEjP4cMSs2ala5l9fLzEpEnubN2qlDp69bJy+LCO1FSJW7eU/alfX9ZoZ5UqCf788za9ezuz\ne7eeuLgMatfOCrohITYiIx2+a2UNN24k4eKSf/upooAQArPZTGZmppa0hIWFceTIEdLS0ggJCSE4\nOJgZM2bkuX+ZmZm0bdtWy5J79epFeHg4SUlJ9OvXj0uXLtGgQQPWrl2rNcnCw8NZsmQJer2euXPn\n0qVLF0DRW3j11VfJzMzkueeeY86cOcVx2OUn0y3scINKOUtPT8fFxYXKlZVxWvvhBnu+rTqQkRs6\ndJA5eDBT+z09HWJjlSbX1q16Pv7YSHKyRKtWMt7eMjduSDzxhCthYTYOHrx9lzqZqyuYTMp0jskk\nmDdPYs4cF/7v/zLp3NlMnz6Z9OqlGK/duGFg6NAqREUZtIALkJoqMWeOUi8G8PdXgvUbb1j4z3+M\nxMc/so0LB3JBTMx1vLxc0OtLp1kqyzIZd8wA1anMefPmkZmZyd69e6lWrRoxMTGcP3/+njcEFxcX\ndu/ejZubG1arlWeeeYZffvmFTZs20blzZ8aPH88nn3xCREQEERERnDx5kjVr1nDy5EmuXr1Kp06d\nOHv2LJIkaXoLQUFBPPfcc2zbtk1jLZQEHEH3DuzrtkIILbvNrW6r1yuTZPlt1lWoAE8/LfP001nr\n/OsviInRsXu3Wj+W2LVLR0qKk1a3bdFCpmLFLF3UrVtlJkxwoUEDmZ9/vo23t8SwYTpk2ZlKlfTI\nsszp0xAVpXy8mzffoFUrG1OmVGb9emd+/lmnDVRcu6YE3++/V/724sUyUU8r93B1lbly5RYuLm6l\nlt2qZQVnZ2ecnJy4cOECI0eOpEOHDuzcuVMrR3Tv3v2B1qmOBasKZVWrVmXTpk3s3bsXgEGDBtGu\nXTsiIiLYuHEjAwYMwGg00qBBAzw9PYmKiqJ+/fq56i04gm4BUBhzypx1W1VgQ7UoUccSc6vbFhY1\nakD37jLdu8t8+qkFIeDcOYnoaCUj3rjRyG+/6XjyScGJE0pA3LixIt98k0GvXlnH7eKiUIGSkiQ+\n+siFTZsMtGplo3lzQdu2rsiyTJ06kJSk47ff4NlnTej1MHnybTp2rKLxOh149PHFF7fo39+KXm+4\nS7GrJKBSKhV5U0W/evHixaxevZp58+bRsmXLAq+3VatWnDt3jjfffJOmTZuSkJBAzTuPhDVr1iQh\nIQGAa9euERISor23Tp06XL16FaPRmKfeQkmhzKU1+Qm6siyTlpZGamqqVipQO61qoE1NTSUtLU3T\ndyjuzqokgaenoH9/G//6l4Xdu01cuZLO7NkpdO6slCoaNJB54w1XunRxZuJEI99/r+faNYl58wz4\n+7tiMMDhw7d54w0rZrOSPa9a5cTUqUoDJSYmk3ffFVy8aGTGDGUi6aOPypcU5Gef3SrtXSgWxMUl\nEhqqqHipPY7U1FTS09O1iS9VH6SoodZu09LStKfB+Ph4Xn75ZeLi4ti9e3eBAy4oDbvY2Fj+/PNP\n9u3bx+7du7O9XljdlZJCucx07fm2zs7OuLu7Z1OyNxgMWvfVaDRqv1ssFk3JzGAwZKPDFMeHrV7E\nZrOJli2NrF9vRadT6mPJyWhDEN99p9d4vE88IVO9uiA6WtFaOHRIR+fOzlgsMGKEhfh4iQoV4JNP\njFy4oGPIECtHjwri4oq2o/2w4bXXLCxZktVdHzeuSrbXO3fO5KefHt0hkUmT0pg4UaDXK59jXkwC\n9dEcyJPSVRCo2a0sy1p2u2rVKhYuXMisWbN46qmnCneAdnB3d6dHjx7ExMRQs2ZN4uPjqVWrFnFx\ncdSoUQNQMtgrV65o71F1FXLTWyhpTnCZYS9AVoMrMzNTa4DZQw1iqqBGbnxb1UtNr9fj4uJyV91W\nZTDk5CXqdLpsgbiw45LqaKQkKTSy+9WPb99WRj9jYnRaaWLfvqz3fPKJmbg4idmzjdSrJ2O1Kq4A\ny5ebadvWhapVBTdvPvxZQmGweLGJIUMUVkvjxjJ//7uNf/0rb77ytm3X6dbtwUZQc0O9ejKXLxf/\nw+S1azepXPluJ4e8cD9bnfwGYjUZcXJywtnZmevXrzNmzBjq1KlDRESEVostDG7cuIHBYKBKlSrc\nvn2brl278uGHH7J9+3aqVavGhAkTiIiI4NatW1ojbeDAgRw8eFBrpP3xxx9IkkRwcDBz584lKCiI\nHj16MHLkyOKo6ZYP9oK9/1JO5KzbqtmrSgGzr0Pdq26r1nntg6D9Bayq4Ku21DkD8f2gerrdi4qW\nG1xdoU4dQZ06Nnr1Ur5Aycnw6686rl9XgrE6EHH5so4GDWQuXtTRtq2S3XXubGPt2kf/clAt6Rs2\nlDl/Put89+hh1QIuQPfuNgIDs+sKe3nJPP+8jc8/V85Tz57VtddCQiwMHJjByJHuACxenMyQIe53\nbX/MGAtz5hiw2ST8/Io36H7+eQpDh0ro9fmjR6qP4fbcWvtArF7D9tbr9texvWlAZmbmHbspRcJ0\n06ZNfP7550RERNChQ4ciewKMi4tj0KBB2nc2NDSUjh070rJlS/r27cvixYs1yhiAj48Pffv2xcfH\nB4PBwPz587V9yUtvoaRQpjJdtQGWmpqqcfVUyorFYtGGG/Li26pd1qK4UHLLhoE8yxJqFm4ymbSM\noahLFkIoFiwnT+pYsMDAd98ZqFZNlKkmWqVKgtTU7Mezf38mI0Y4UbWqYM8e5Wb57rsWzVXBHkOH\nWti8WU9cnE47N08/baNLl0wOH9axcaPy+P7MMxZ++SX7++fPT+XoUSe++koJgt7eMqdPq04GNqKi\nsj+t1K+vBH17St+DIiHhJhUqFM21mhfu9VSnDgYlJyfj7u6OLMuMGzcOFxcXZs2ahbv73TekcoY8\nP5gy1UhT7+DqXfv27dskJyej0+lwd3fXTCDVcoJa9JckiUqVKhVpoMvNF0oVLFczhJSUFK3JkZqa\nqt0YXFyKbkTTHpKkqE2FhMgsXWomPT2Dy5dvs3lzJmvXmop8e6WBnAEXoE0bF15/3cKPP2Yd46ZN\nel56ycq5cxk895xVE3hftMhIXJzytWjUSEanE7i7W3jttUy++SYrM46JufupYP16FypVsuHnp2TF\n8+dnNevsA26FCkou07evjb//PYv/Xbv2/R09fvjhJqmpaVSsWPyDDmqW6+TkhKurKxUrVqRSpUqa\nF6HBYGDdunV4eHjQrFkz4uPj8fPz46+//rrneq9cuUL79u1p2rQpvr6+zJ07F4CkpCQ6d+5Mo0aN\n6NKlC7duZZ2/8PBwvLy8aNy4MTt27NCW52Us+TCjTAVdFUIIkpOTsdlsWjC1D7Y2m4309HSsVisV\nKlR4IJfgwiK3C1htOKjZgzqUkZaWlq3TXNxo29ZGx47pxMXFk5R0k7i4dGbNMhf7dguDBg2yzsvc\nuWZ69FB0iCdPNjNsWHYzxvr1ZcaNc8LbO6tR9uqrVhYvNlOrFtSrJ7I5bbz+ugUnJ0H//unIssSW\nLS54e/+NkJCsZmOHDjb++iuD9PQMpk5VztWQITJg5OhRI99+60ZYWFazLjDQzKFDf7Fly008PZVt\nbdyo5+uvs4J3aKiy3Mnp7gfMgAAzN2/eolMnp1LTJlD9/FRLLFmWuXjxIr169WLdunUMHDiQU6dO\nceLEiXuux2g0MmvWLE6cOEFkZCTz5s3j1KlTRERE0LlzZ86cOUPHjh2JiIgAyDbosG3bNt566y2t\nhJiXseTDjDJVXlApXjabjYoVK2pZpSpqbl+3VeulpQF7SbucpYS8yhJ51dUKC5XArqo95faFlmVI\nSJAYOtRJezx/mNCokcyZMzpq1ZL55ZdMPD2zGjfp6RkIAUuX6hkxwjnbe65elWjeXM6muLZggYmG\nDU1MmODCzp1pTJpUCU9PwbPP2mjXzoXbt5Xz3qSJzOXLEr6+spbFxsbexsND8OGHxjsaxjqtptu6\ntY1jx3Q8/rjM2bPK3//3v4nUr29jwIC/ceOGjpAQGxs3Zr8mq1SR+eabZJ591lhqwTY3gfH//e9/\nTJ48mTFjxtCvX79CXY+9e/dmxIgRjBgxgr1792qMhHbt2vH7778THh6OTqfTHHm7devG1KlTqV+/\nPh06dODUqVMArF69mj179rBgwYIiOe5Conw00tTmU3p6upZBqheDetEUZd02v7Cf0rF3kbBHTvGQ\nnHU1i8VSJGwJe4rP/W5AOh3Uri3YvDnr8VwIOHBAxwsvOJOWVro14StXJIYOtbBokVHLRv/v/6zs\n36/4xY0c6URiosT+/Zm0aeNCQICNvXtN/PGHRKdO2Wliw4c7U7GikbQ0Hbt2VeDKFYkff9QTEWFk\n2jQLf/0l4eoqmDjRSkqKMtbdo4cOWZbo2dOZW7ckUlKU8xEcbKNrVwsVKsD06RasVjh1SuKNN5w5\ndkzH5MlVOHNGpwXyNm3S2LdPz82byjXRtq2J779PKxF+eF7IaZ+TmZnJBx98wKVLl9i4cSO1a9cu\n1PovXrzIkSNHCA4OfiQHHQqCMlVecHZ21hwa1FqpWi9Vp2OKo0H1IFBLGiaTCTc3N9zcHsxhNbey\nROXKlbWsVGVlpKSkPFBZQs1aVAJ7xYoVC5TxSxI89ZRMQsJt0tOVx+ybNzOYO7d4yhL9+mWtd/Hi\nm9SpY6NVK6WM0KaNVWNm3LihfLYrVyqaE35+LnTqZGP//kxatVLOiU4Hy5fr6dTJhVdesfLXX+kk\nJibRtq2JL75IZ+hQpVQxbJgTW7YYuHpVR716MpmZsHevjvR0ZRuVK2e56gKsX2+ienXl4bB5c5kq\nVWDhQiOzZxvp29eJmTMNJCRIdO9u4+23Lfz6q4krV27j4yPj4yMzeXIlLeCeP5/AunXKU1tqaiqp\nqalkZGRgMpmKxAvwfrA3h3RxccHNzY3Dhw/To0cP/Pz8WL9+faEDblpaGn369GHOnDlUyiEQ/agM\nOhQEZSrTHT58OHFxcbRq1YqKFSty/PhxwsPDNZEMi8VyF3uguDMIWZYxmUxFmmWrwxn2tLZ7EeDV\nY1YDrmqLUtTH7uSkeLypPm8A168rgxj//nfBSjk1awoSEiQSEvSsWGEiNNSZ6dPd+fLLTIKDzdSu\nXYV9+wx88kkyoaGZJCQYadkyy0BQliWWLDFw9KiOgAAl6B48qMdslvjhh0x8fS13zER16HR66tUT\nPPGEzOzZoNfDwoUmAgNlDh/WEROj49AhPYcO6dm8WY+/v6IWp5ZcunVzYcoUC6+9ZtUcPaZPN3Lp\nkuLOHBOjY+ZMo8afTkiQCAiQuXRJIj1dwsvLyqxZyTz9tB6jsWI2Zot9uclsNmuUxOKw0slpn2O1\nWvn44485fPgwq1evpkGDBoXehsVioU+fPoSGhtK7d2+AR3LQoSAoUzVdIQS//vor77zzDn/++SfP\nPvssV69excvLi8DAQEJCQvDw8ACynCZ0Op120RoMhiK7cO0pYKrUZEk+ItqXJaxWq5Yd2Qfs4vK8\nuhdMJgunT5t5880qxMbeOxCrnFuA2bPNjBqlaFzeuJFBVJSOkSOdOHdOx5Ejt/HykklOlvn4YycW\nLHCmWTML27bdQJL0nDvnRHS0E6NHZ9V6fX1t+Ptb8PMzERKio2lTHT17uhAQIDNzprJfFy9mkNOe\na8IEIzVqCDp1snH4sI7//MfIsWPK51qjhqBXL6sWjL29BR9/bMTVVTBhQtaNKDzcwLFjOnr0sDF+\nvJMmPnTlyg2qVHF5oOskt+GGnIHYYDDkK2PMaZ9jNBo5efIko0ePpl+/frz99ttFcg0LIRg0aBDV\nqlVj1qxZ2vLx48c/rIMOBUHZd45QsX37dk6fPs2bb76paXeePn2aAwcOEBkZycmTJ3F2dqZVq1YE\nBgYSFBRElSpVcr1w7QNTfpDfabLiQk7ur6qaltsXNb9DHPmFfQ1ZbcZkvQbnz0u8/bYTv/yS97la\ntcrEwIFODByoeM3NmmVm8GBnzpy5zf/+p2P0aCfatlWy2SZNZN59V6l/R0fDyJFuVK9uo2ZNG9Wq\nCbp3v82xY84cO+bC4cN6/vgj65jr1JFxcoJjxzLJGa/+8Q8jDRoIXnvNyj//qegeDxpkZe1aPYsX\nm4mOVjLimBhlKEWlsK1YYSIgQKZuXcWUNC5OIj4erlyBmTNvERJiLHRj915N2Ps93eW0z5FlmS++\n+IKdO3eyYMECvL29C7Vv9vjll1949tlnad68uXZDCA8PJygoiL59+3L58uW7tHFnzJjBkiVLMBgM\nzJkzh65duwJZ2rjqoINKP3sIUH6C7v0ghCAtLY3o6GgOHDhAVFQUCQkJ1KtXj4CAAIKDg2natKnG\nRcwPe6Cg02TFAftHxNzGmVUUN1uioEMfJpPy+P3vfxuYO9fIU0/Z+PXXrGOYNs1M+/Yyzz6r1Gwv\nXJCYO9dMu3YyEycaqVVL8PrrVj76yMjatQZmzDDTt6+Fjz6SkGXBe+9l3nFmtvHf/7owcqQ7JpNE\naKiZ774zkpkp8dhjQrNEUrPX6dONJCRIHD+uo2VLmX/9Sxmvfv11Z6KiMrMdQ2IidO3qQny8ROvW\nNqKj9chyVt35H/9IY/ToTCpXfrDstiB4kECslt7Ua/aPP/5g1KhRdO3alX/84x9FqqpXjuAIuveC\nLMtcunRJy4aPHj2KEILmzZsTEBBASEgINWvWzHYB27MH1IZWbhSw0jgWNfCrGWV+9uVeU0g5s//7\nrfdBA/+DwmSCr74yULmyIDpaT2SkYmEPMGiQlWeeUUZ7Fy40cOqU4tTRurVMeLiJKlUU1sjnn7tj\nMOiZPNnK1asSo0cbOXdOYs6cDPz9lVr4zp0GFi6swOzZ6cTGOhEbqxiF2mtZPPusjQ8+sODnJ3P6\ntMSIEc7873+Zd+3z2LFGPDwEb71l5dIlid69nTlzRsfrr6fz2WfWEqct5iw7WSxKM/KXX35h9erV\nuLm5cfToURYuXEhwcPA91/Xaa6+xefNmatSowfHjxwEeZieHkoYj6OYHam3ryJEjREZGEhkZyaVL\nl6hevTqBgYEEBwfTokULnJycuHbtGn/729/umlHPb7Arin0urjHi+9UPc5Zh7HmdxZ3xX74sceWK\npD3WR0frtLFaf38b48eb8PFJp0YNRZh+xgwXdDqlQffxx0aGDbMwdqw1m3fd1q06vvrKwNq1aVrt\nf/t2IxMmuCPLEgMGmElP13H4sJ5Tp7IoX/PmmfD3l2nSRKAmhyNHGvH1Vb5GH39sYPjwdN55x0Sl\nSsU/kJMX7K8VZ2dnjEYjsbGxzJw5kxs3bnD79m1OnjzJm2++ycyZM/Ncz/79+6lYsSJhYWFa98bH\nDAAAGiZJREFU0B0/fjzVq1fXnBxu3ryZrS576NChu5wcgoKC+PLLLzUnh4eoLlsYOIJuYSGEICEh\nQQvC+/bt4+LFixiNRsaNG8dTTz3Fk08+eeeRtXibdDlRGjXkvB5b1SEUg8GQ57BFcWPHDh0XLkhc\nu6Z408XGGqlUCQICZDZsUKJh06YyS5ea8PG5+xLfskXPkiUG1q0zcf06jBvnREyMjjlzbvP002Yt\nS1Q+awPLllVgyhQ3BgywEBOjaBv7+SnliLlzlUw2IMDCzJm38PNzKrWhHMhun6NOYn7zzTcsXbqU\n2bNna9mtyWQiOTlZYxDkhYsXL/L8889rQbdx48ZlacChMCgfwxHFCUmSqFWrFr1796Zu3bosWrSI\nsWPH0qlTJ2JiYpg7dy5nzpyhQoUK+Pv7ExQUREBAAJUqVcqV5lPQJp09SrOGnHOIQ7UyUgOuEILU\n1NQClSUKiw4dzFpZQwksNs6fV7SF1aB77pzEq68637FEshEQIOPjo2SoNhvodII1a/RMnOjEgAFW\n5s/PxM1NArJSYvXG4+dnpXVrM59/ngRAWpqB2Fhnhg+voP3t5s0pVKhQOtY5kLt9TkJCAqNHj6Zh\nw4bs2rVLc6IGhfN+v4CbG8rLgENh4Ai6BUDLli05fvy4Rg4PDAxk+PDhmubDwYMHOXDgAIsWLSIp\nKYknn3xSo6x5e3sjSVI2Lm1+BdFz0tHuZY5Z3LCnGeXkId9L8rKobjw59yWvsoaHh8DDw0b//kqW\nZzbDiRMShw7piYzUM2+ekStXlAz14EEdVqvEvn16Nm9WSga5Qb3x6HQ6nJyUiS1Zlrl8WfDppy54\neVnZtOkWDRvK6HQGzGZzsYre54Wc9jk6nY4NGzYwd+5cPv30U9q2bVtMAktld8ChMHAE3QJAp9Pl\nOo0jSRJVqlShS5cuWpNAlmXOnTvHgQMHWLlyJcePH0ev1+Pn56fVh6tXr645U9hstnuS3tWMEiiQ\nOWZRIieJPmfwzG2Iw778ktcQR0GCkiqkndd4dU44OUHLloKWLa288YayTHXjePddJ86dk3B2hhdf\nzJ4N+/vL/O1v2ddltXInQ5aYPduZOXMMjBuXypAhVlxd3bLp1Bb3YIM97LNbtc5/8+ZNxo4di7u7\nOzt37sxV7L8wKC8DDoWBo6ZbwhBCkJGRQUxMDJGRkRrhu1atWhpvuHn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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mesh.plotGrid()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step2: Generating model" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "sighalf = 1e-2\n", + "sigma = np.ones(mesh.nC)*sighalf" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step3: Design survey: Schulumberger array" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### $$ \\rho_a = \\frac{V}{I}\\pi\\frac{b(b+a)}{a}$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Let $b=na$, then we rewrite above equation as:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### $$ \\rho_a = \\frac{V}{I}\\pi na(n+1)$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Since AB/2 can be a good measure for depth of investigation, we express " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### $$AB/2 = \\frac{(2n+1)a}{2}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "matplotlib.rcParams.update({'font.size': 14, 'text.usetex': True, 'font.family': 'arial'})" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "ntx = 16" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "xtemp_txP = np.arange(ntx)*(25.)-500.\n", + "xtemp_txN = -xtemp_txP\n", + "ytemp_tx = np.zeros(ntx)\n", + "xtemp_rxP = -50.\n", + "xtemp_rxN = 50.\n", + "ytemp_rx = 0.\n", + "abhalf = abs(xtemp_txP-xtemp_txN)*0.5\n", + "a = xtemp_rxN-xtemp_rxP\n", + "b = ((xtemp_txN-xtemp_txP)-a)*0.5" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(-600, 600)" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,1, figsize = (12,3))\n", + "for i in range(ntx):\n", + " ax.plot(np.r_[xtemp_txP[i], xtemp_txP[i]], np.r_[0., 0.4-0.01*(i-1)], 'k-', lw = 1)\n", + " ax.plot(np.r_[xtemp_txN[i], xtemp_txN[i]], np.r_[0., 0.4-0.01*(i-1)], 'k-', lw = 1)\n", + " ax.plot(xtemp_txP[i], ytemp_tx[i], 'bo')\n", + " ax.plot(xtemp_txN[i], ytemp_tx[i], 'ro')\n", + " ax.plot(np.r_[xtemp_txP[i], xtemp_txN[i]], np.r_[0.4-0.01*(i-1), 0.4-0.01*(i-1)], 'k-', lw = 1) \n", + "\n", + "ax.plot(np.r_[xtemp_rxP, xtemp_rxP], np.r_[0., 0.2], 'k-', lw = 1)\n", + "ax.plot(np.r_[xtemp_rxN, xtemp_rxN], np.r_[0., 0.2], 'k-', lw = 1)\n", + "ax.plot(xtemp_rxP, ytemp_rx, 'ko')\n", + "ax.plot(xtemp_rxN, ytemp_rx, 'go')\n", + "ax.plot(np.r_[xtemp_rxP, xtemp_rxN], np.r_[0.2, 0.2], 'k-', lw = 1) \n", + "\n", + "ax.grid(True) \n", + "ax.set_ylim(-0.2,0.6)\n", + "ax.set_xlim(-600,600)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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GOuWIJQA8BDBs/sYClq188MFHtB9B1te/1fHx3+svfvEHHR//fUMJolnLOj4+1kQioX19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\n9l8BMNCNn12nfB4BdY8BmHG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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,1, figsize = (6,4))\n", + "ax.plot(xtemp_txP, ytemp_tx, 'bo')\n", + "ax.plot(xtemp_txN, ytemp_tx, 'ro')\n", + "ax.plot(xtemp_rxP, ytemp_rx, 'ko')\n", + "ax.plot(xtemp_rxN, ytemp_rx, 'go')\n", + "ax.legend(('A (C+)', 'B (C-)', 'M (P+)', 'N (C-)'), fontsize = 14)\n", + "mesh.plotSlice(sigma, grid=True, ax = ax, pcolorOpts={'cmap':'binary'})\n", + "ax.set_xlim(-600, 600)\n", + "ax.set_ylim(-200, 200)\n", + "ax.set_title('Survey geometry (Plan view)')\n", + "ax.set_xlabel('x (m)')\n", + "ax.set_ylabel('y (m)')\n", + "ax.text(-600, 210, '(a)', fontsize = 16)\n", + "# fig.savefig('DCsurvey.png', dpi = 200)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "txlist = []\n", + "rx = DC.RxDipole(np.r_[xtemp_rxP, ytemp_rx, -12.5], np.r_[xtemp_rxN, ytemp_rx, -12.5])\n", + "for i in range(ntx): \n", + " tx = DC.SrcDipole([rx], [xtemp_txP[i], ytemp_tx[i], -12.5],[xtemp_txN[i], ytemp_tx[i], -12.5])\n", + " txlist.append(tx)\n", + "survey = DC.SurveyDC(txlist)\n", + "problem = DC.ProblemDC_CC(mesh)\n", + "problem.pair(survey)\n", + "try:\n", + " from pymatsolver import MumpsSolver\n", + " problem.Solver = MumpsSolver\n", + "except Exception, e:\n", + " problem.Solver = SolverLU " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step4: Run DC forward modeling" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 5.26 s, sys: 554 ms, total: 5.81 s\n", + "Wall time: 4.06 s\n" + ] + } + ], + "source": [ + "%%time\n", + "data = survey.dpred(sigma)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$$ \\rho_a = \\frac{V}{I}\\pi\\frac{b(b+a)}{a}$$" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "appres = data*np.pi*b*(b+a)/a\n", + "\n", + "\n", + "fig, ax = plt.subplots(1,1, figsize = (6, 4))\n", + "ax.semilogx(np.r_[100., 500.], np.r_[100., 100.], 'k--')\n", + "ax.semilogx(abhalf, appres, 'k.-')\n", + "ax.set_ylim(90., 120.)\n", + "ax.set_xscale('log')\n", + "ax.set_xlabel('AB/2')\n", + "ax.set_ylabel('Apparent resistivity ($\\Omega m$)')\n", + "ax.grid(True)\n", + "ax.text(100, 122, '(b)', fontsize = 16)\n", + "ax.legend(('True', 'simpegDC'), loc = 1, fontsize = 14)\n", + "# fig.savefig('comp_dc.png')" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] } - ] -} \ No newline at end of file + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/notebooks/DC_schumberger_Inv.ipynb b/notebooks/DC_schumberger_Inv.ipynb index 3dd5927e..eae24c0c 100644 --- a/notebooks/DC_schumberger_Inv.ipynb +++ b/notebooks/DC_schumberger_Inv.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:420f2b8a60ef08ab473ad159b33d15f48d4551a725f31a27a51cc03264657fbc" + "signature": "sha256:29c8b78e5b8f768bcf861afb186d1d85bff67ec768eba74cf6c3e85da81d0c01" }, "nbformat": 3, "nbformat_minor": 0, @@ -13,7 +13,7 @@ "collapsed": false, "input": [ "from SimPEG import *\n", - "import simpegDC as DC\n", + "import simpegDCIP as DC\n", "from simpegem1d import Utils1D\n", "%pylab inline" ], @@ -26,18 +26,9 @@ "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] - }, - { - "output_type": "stream", - "stream": "stderr", - "text": [ - "Vendor: Continuum Analytics, Inc.\n", - "Package: mkl\n", - "Message: trial mode expires in 20 days\n" - ] } ], - "prompt_number": 1 + "prompt_number": 4 }, { "cell_type": "code", @@ -51,7 +42,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 2 + "prompt_number": 5 }, { "cell_type": "heading", @@ -97,7 +88,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 3 + "prompt_number": 6 }, { "cell_type": "code", @@ -108,7 +99,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 4 + "prompt_number": 7 }, { "cell_type": "code", @@ -124,11 +115,11 @@ "output_type": "display_data", "png": 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U4Ng3z9Hah98PoRCsWCFx220OdB2WLYsxcaKBJMHkyQ4mT9Y57DCDDz+UeOml\nltGtqlq20kJwBblj716ZvXvNv1dXywwdqvPFFzKFhQYNDc315XPnJlfZLFrkpKjIYMQInZEjdYYO\n1QmFWpaMdSfZWvUkkq0B5ZgxY7jqqquoqKgAzGt9z5499tyH1P3Mnz+fBQsWGMDPgUuB+yRJ6msY\nRjmI9EJG+7DEtr6+nlgsRkFBQZLgJu5jyxaJtWtlzj7bxcSJOmvWxDn1VMMe++jzgaKArsPzz5uC\ne845Gl6vwfPP13LyyT23OCHovQQCyef3iBEaX3xhOek2f7k3NUlcdVWM//63kfr6RkpKdH7xixg+\nHyxb5uC887yUlBTw0ktOnn02uca8p3K6HYl0s93GcpxI/P0y2M83hmGcCtQDN1kP5q3oWnSl6Fol\naQ0NDUSjUfx+P4WFhUlim7qP0lJzP1OnaixbJjNggIuTT3Zy9dUOKipkFi9WuOQSJxdc4GT6dI3L\nL9cYP14nHJYoLy9g71549tk4112nMnOm6FwT5IampmQxdDph7twop5yisnp10H589GiN+++PUlxs\nzofu29dgyhSVOXNiPPFEhGuuieHxmOf45MkpXj3dROq1mq3odoR9i2N2c0YilZWVTJ06lVWrVrX2\n8t6RXkhtBe7svlIHMVujIwG8Xi9OpzOjb/EjjjDo39/gySfNyoRQCD76SGLJEplf/rI5MtizR+KK\nK6x/mxHvSSfFWLBAweGAjRsVXn1VpBcEXcOGDQobNpjn3erVpgwMHqwzY0Zy3Xs4bC6YffCBzA03\nePD7Dd56K8SMGR6OPLKlVU8u23ETB46nvk84HLabMLZv357UtZZrXnjhBVatWkVFRQXLly9n8eLF\nfP755xx33HH2NkuWLKFv375p64GBUsAOi/NWdC2s4RedIVF0LbHVdR2fz5ex2Fr7CATMFkmLujp4\n8kmFF1+Uuf12lW+/lejb1+DHP9ZZtEjmT39q/gieftrH00+3/h6JuTeA4cM1/vMfUfEg6ByHHKKz\nY4fMtm0yV1/tZdeuKCNGaIwapbNrl8Stt7r5178U7rwzyvnnW9ULdGnJWKIBZSqWr6F1x7l+/XoO\nPfRQfvjDH2a072wMKP/73/8yffp0ysrKuPLKK5k6dSqLFy/mnnvu4cMPPwRg6NChFBcXU1FRwYwZ\nMxgzZoy1qypJkmYDRcAC68G8Fd2uiHQbGxvRNA2v14vL5crqBEpdSKuuhgceUHj8cYVLL9XYtClG\n375wzz3Plsv/AAAgAElEQVQKsRiMG2cwbpxGv37Q0AD//KfMCSeEeOSRQKvvkSi40LzgJhBky4gR\nKsceq6LrBg8+2MAJJ/Tlq68cnHtuhOpqgz//2cmaNdYUMHjvvea5C9D1JWOJBpSppA4wP//8823H\n30woLi7O2IDyiiuuoKGhwbb0qa6uxuv1sn37dhYuXGjvZ+HChUydOpWysjJOOukkABWzA20MUAvY\nBcDf+ZyuZVAJ2INz3G531t/Y1nEYhtliOXCgmy+/lHj//Rj33KPRd183sM9nirKFzwdffCFRWSnz\nyCMBDj7Y4Hvfy+xLZMuWvP/4BD3Egw9GGTYMAgEFn8+HpsmUlmpcfHGMCy+MoKoGw4ebOdtHHqnF\n54smDSI3S8aS99mdC2mJ79PU1JRV9QJkZi5ZWlrKypUrmT17ti3OlZWVnH322ZSWllJeXs4JJ5zA\n+++/z+TJk1mxYgUTJkywImAHoAP3GYbR1zCMBvvY83HgDTQvcsViMaLRKAUFBVm9XtM0wuEw8Xgc\nj8dDOBzulGWPpmk0NjZSVFSM1+tGls2ot7gYxozRGT3aYMwYg/ffl9i9W+Lhh1Vqa2H4cBe1tW2/\np99vnuQNDVHuukthyRKZL78UgivIPUcfrbF7t8Ts2TF+9rMYw4YVsGNHnT3n1hLdwYMH8MUXe/H5\nmq14wuGwPYqxK1FVlXg8bjtUnH766bz99ttpr92hQ4eyYMGCFrnW+vp6pk6dmtQGfOqpp1JRUWFH\nup3ZZsWKFUMMw9iW7vjzVnQBe8p8OBxuteYuldY802prazs1HtIS3eLiYo480sUbb8Q47DCoqpLY\nsEFi40aJjRtlVq1qff+ybLBhQ5hBg2I89pjEPfcUJBWwe70G4bBIKQiyZ+RIjVNO0XjoIReTJsW5\n++4oU6d6+fjj9AI5YYLKQQfpPPmki/Xrgxx+uI6lpfG4Qb9+BezeXYuua/bwccAexWgNG8+VJ1oi\nlrOEx+PBMAzOOOOMJNGtr6/n3nvvpaqqihdeeMGelTBx4kQmT55s7ydHBpStbdN7PdIyTS/ouk4k\nEiEajab1TMuFZY/1+kDAjExl2WDoUPNn6lRQVY2BA13U15ufR79+Bnv2NH82ui5RUaEzerSCqrop\nK4PPPzeYOlVj3jwHCxaoXHyxmL8ryJ6PPlL46CNTNZuaJGQZW3CdTsOe9fz++0H8foOPPpJ5+WVT\nHqZO9bJ7t8TRR+uMHKkxaJDZKelyOYFm94dgMJg0cDzREy1RiC0xziWJ+ysqKuJ3v2sxO7wFY8aM\nSVz06tJtEslr0YX2xTJRbNuy8cml6Pr95uquhWHAiy/K3HabYgvuNdeobNggJ4kuQGWlhw0bZP79\n7+ZjnDfP/JiE4ApywfLlDo46qnnBdtasGA884Oagg3QKCsy5uoccojF4sMF77ym8/36Ihgb45BOF\nF15wcMcd5gwRTcOOfi3RS632sSoNUg0qO2NOmZg77qlxkp0hr0XXinTTVS+km4/QVq4pF6Jrva/P\n11w2tnq1xK23OlBVeOABFbcb7rjDwQMPaMTjEVaujHPFFUU4nfDttzJOJ3z4YX6dRIL85Ywz4sya\nFeOxx1yEw5Ld+AAktfo6nbBihcLSpQ5mzozx2msOEi+n1q4dSZJaNBMl+qFZ5pSplu2JQpwqqolC\n29TUZFcx5At5LbpAi2+81PkI7Ylt4n5yVe8bCBj8+98yDz4oU1UlcfvtKlOm6MgyfPCBRDDYXJ5W\nUuJn0CA47TQdCDN3roGiOBk/3snatWKxTNC1vPqqk5//XKKuzryOTMt18zoIhcyysJUrFW64wcOY\nMRr//neI3bsl3nkn/TWVaU17azY8lhCrqtrCnNJKUaTOXch0PWd/oVeIrhXtWjNtFUVpMRshk/3k\nSnRfeUXhlVdg0CCDhx5SOe44U3A1TUOSYjQ1BXA6nQQCAYqLZTuiqK6WWLFCYtKk9LZB/fsbfPut\niIIFneOii+L85S8RpkzxMmqUhq7DO++Y18rxx/spKDAYOVJn40aZb76R2blT5v77I5x6qtmWvm2b\nnNYfrbNGAlakm7pfKzWRmJ6QJIm///3vbN26lWg0yo4dOxg4cGBepBryOpRKFMrGxkZ7PkK2gpu6\nr84ycKDB2LE6556rcf/9CsOGuTjiCAdTp8osWODliy8cNDR4kCQJr9cgFJKorJR46CEfkyaZZ/OK\nFTEGDjQ4+2yN664zW4rPOUe3Z+8KBNkyeLCZhhs+3BRPXYcTT9SYNEll8GAdv99g+/YmXn45RDQK\n33xjysPatUFbcMHqRuue89CKii2XYJ/PhyzLOJ1OBg0aRGNjIx9//DFlZWUccMABrFixov2d9jB5\nHenGYjGampowDAOv19uhpgaLXEa6P/2pxqBBMGuWSiQSIRSKsGOHh08/9bFqlXlLNWqUa18dr8GO\nHRI7djTfap1zjsb//Z/Mzp0SRxwh4XSax3X++Ro//rHOpEliQU2QPdu2mSL6pz+5OPxwc6yj1wv7\nRozg9Rps2iTzq195cLsNfvWrKN9+2zKqDYV6fpauLMuceuqpaJrG0KFD+fWvf80333yTlN9tzR+t\nqqqKGTNmUF5eTllZGTU1NVRUVDBx4sSkbXPloZZKXosumMNorJTC/uCTZrUC19Wp1NXV4XQ6KS4u\npG9fhWOPNTj7bJXnn5fZtSvGY4/JXHttSwH9xz+aBfjNN2XefNO8WMaPFyaWgo4xdKg5B/f1180Z\nzxUVLrZtkznzTF+SM/CkSV5uvz3KhReqPPaYk8bGltdEMNizs3QheYC51Y02YMAA+/m2/NEAVq1a\nZU8FKy4u5tFHH00Sy0w81DLZJh15nV5wu924XK6cD73pDLFYDEUJ09ioU1BQQCAQSFow8HrNxYoz\nznDy+987ePJJs9XymWfinHlmjE2b6lm0KN7CP00g6AxffCHz+utmjHXUUTq33BJl8GCdl14KMWBA\n83m/bl2In/9cRZbN6gWvt+W+ejrSTV1I65MwFCITfzRJkli5ciV1dXVUVVVRU1PDpEmTkrbJxEMt\nk23Skdeia7E/mFNaXTLxeJziYheq6m6RV962DS691Hxs9WqZAw8024IBtmyRaGqSOOQQnXPO0bnz\nTg2Px2DGDI0LLhBzdQW54623HPzoR362bZM591wfu3YlNgk1b2dVL6TS05Fu6gDzxOqFTPzRrH0U\nFhba7bypZOqh1t426chr0d0fzClVVaWhocHuxnG73RQWyknjHaurYfZshZNPdjF0qIHHY7BxY4y5\nc1X69TO3uf12B2vWODnjjAA33qjw1FMykYiErpPUQPH736sMHCgW0wSZ06ePuUh2yinm3dMRR7T+\nJT56tJ9hw/xMm+blnnvcrFzpYOtWicRLI92Ese6KdFOv0VQn4FyQiYdae9tIkjS4tf3nfU4XumaQ\neXskDsyxFvFCoRCSJNnjHUMhePhhhT/+UWHyZJ3KyhgDBpjzdd1ugwkTYMIEjQULFP73f1VuuUVm\n9uwwn37q4403zO/DhQubUxNjx+rE49jmlgJBJtTWmueSNaz888+bz6lJk+Icc4zOk086KS3VefHF\nMF99JfHRRwqvv+6gslLhjDN8NDVJjBihMXKkzvz5Lk4/vWfTXx216rGoqqqy7XZqamooKSmx5zJk\n66HWCqXAtnRP5LXoWv/xsiyjaZ27Bc9mhoM1MMfj8eD3+1tE3JoGS5YovPuuzIkn6rz5Zpwjjmje\nt99vDa4xH7OiBrcbfvCDOCefrDFvXvOFMWSIwdat5vjHysq8vjkR7Cccc4zGJ58ozJ8foaLCXMz1\n+Uwvv8GDDQYPVvn5z2OccILOxRfHqa6W+OADmenTzSTva6+17DLrrkg38X06IrpWdJo4/GbatGn2\nYx3xUMuGXnEFd5c5ZSgUor6+HjCHani93qQTwNrHsmXmf+vXX0tUV0s8/rjM4sUyX35pzmHw+ZJn\nM/h85uN1dRKPPOJh5Ehz3GPfvgYXXaSxdauIbAW5w+s1qKiIAOYXfSgk7Xs8ebtg0KwjB3Pm829+\n42bcOI3vfU/lL38JJ22bqxr3bOlIeqGoqKhFzjeTBbBckdeRrkVXm1NabcXtzXCw0hw33KCxbZvE\nSy/F2bjRjFAXL5a5+WYHjY1QXy/xq185uO46jbFjDdxuWLzY7P556y0nr78e56ijDB5/3M1TTzW/\n12WXadxxh8qgQek71gSCTBg2TOfcc02FnTDBx/vvm+dYQYFBJAKefQ7s4bCEqsL117t55RUH994b\nZdIklUsu8aRdSMtlpNuaP5o1q8Gz7yBra2uJxztvkDlkyBCqqqpoaGhof+NOktei25ULadaQ9Gza\nilN90g48EE491Ujq5tmzBw47zIXTCUuWyPz61zLbtzefrJMnR1i50scFF7S8CXn8cYXdu5Mfu/ba\nOH/+s2iWELTPOeeE+cc/vPz97zU4HDIjR5Zw221hzjrLnDj20UcKgwYFKC3VGTVK57XXHLz2moNL\nL42xbl2zXU9TU/qFtFyZUrblj2aNi7QCn23btvHoo4/aFumZMG/evBbbWymHqqqqrDzUWtuGFAfg\nRPJadCG7mbqZkDjDAcDv9+N0ZidqPp85Tzcd/frBuefqTJ5s/gAcdZSLU07ReeIJhZkz2x7e8cor\nyVG2EFxBewwcqCFJEvG4ebkXFDiorYX+/XXKypq44AKZd95xcc45McrLI6xe7eaii8zOrksvjfHQ\nQ9Gk/YVCLU0pc0lb/mjpBphn449mNTRMmzYtqVzMWjwrLS2lsLAwYw+11rapqanZ1toxiJxuwj7A\nHBUXCoXwer0UFhZmJbiJkW5izjYVrzf5+QEDDJ54ollMTzxRb7U2d+TI5MeHDetc1Yag97Nzp8KO\nHTKvvmqey4sXe1m3zrOv0saPqjqQJAm3Gx57zMUvf+nlppsaGTpU5eKLm4jFYmiaZl9j6ep3e3Ku\nbTbvW1payoIFC1rU565cuZKysjI7as3EQy2TbdKR96Kbi0g30ZzS6XRSVFSUtRuwdSxWG3Bbouv3\nm/3uNTUwZ47CunUyhxxioCgGa9fuZe5claOPTv/7HHts8r8//TTvP0JBF3PxxREOP7z5y/nDDxVm\nzvSyY4fM8cf7eP55F199pXD//T6WL/ewYkWIuXMNNE2ioEC21zWCwSDBYJCmJgO3O46qqvbtfneR\nKO6qqrY7tjXdsZWUlCTljOvq6qioqLAdf8HsNlu8eHHS6yoqKrjvvvuy2iYdee2RBs23G7W1tVkb\nS6aWf0WjUQKBQNYTyixUVSUYDFJYWEQg4KK2NoYrzbiEyy938NprMg6HOTmsthZOPtlg3jyFN97Y\ny1FHFRCJRLj2Whdut8yKFS527DDFddIkjaVLu9b4T9C7OPPMKNXVCtXVEp9/rtDQ0MjatQpz5rj5\n3e+inHZa86pYfX2j3ZV25JF+1qwJcdBBpgxYM2+HDw/wyiv1HHywum9cqRlsOBwOe05uV3ijgemL\nKEkSLpeLvXv3ct1117Fs2bKE48/MH23JkiVUVVVRXV1NXV0d5eXlLaLfTnqo9U6PNItsrTsMwyAc\nDrfwS4vH4zmx7JEk7BRDoujqulml8Mwzpmh6PAa6DqtWyRiGjqIYBIMG9fX1KIpCUZEfXTcnQVk+\nVgcc0OHDE3xHeeWV5GqXF15wUFMjsWGDwvTpZhWA32/wv/8bSWoDDoebS8ag+a4yFJIpLnbi9Tpt\nIbbWQFKHj3elN1risBuLTP3REgW4NbrCHw16SXoByGjojWXhU1dnWkoXFhba8zmtfXWVT9pbb0l8\n//tOHnpI4bTTNK6+WuONN+KMGqVTVyexdKnC11/L/PCH/bj55hIWLSpiyxaFWMys37WMA10ugxEj\ndE480bxdvPFGMRhH0DZXXRVhzJjmtYD5813ceKMptg89ZD7Xr5+Rpk43/YJZ4kJa4uBxl8uF1+vF\n7/fj9/vtFJ2maXZ6IhQKEYlEWuSJMyV12E2q6OYDvSLShbYFM9Pyr1xWQfj9ZgXD5s0wd67CJ5/I\n3HmnaduzYIHMZ5/JnHCCwbhxKnV1Mb75Bt56y8N55zURCPhYuza9XftFF+l88olsz0AVCNqjosKT\n9O/33lPweg1OPllj/HiN8nKraaf53LdKX1PXkeNxUFWzqSKR1OumPW80TdPsnLA1qDzVrDIdqaKb\n67kL3UHei25btbqWFXQ4HLZXatuqRshVpGsYBlVVEpdc4mDnTokbb9R45pmYfaJ6vdDUZFpWx2Ix\n/P5CdN3FAQdIDB+uctZZGu+8YyQ1RlhcdpmDzZubT8j778/7j1DQxYwbp7J+ffN50q+fzp49MqtW\nOTj7bC+ffmqeZ7t3yxiGhiS1HuVaj6fLErSXOkj0RrOuw1STSmuNJtGk0hLk1OszXXohH8j79IJF\n6geiqiqNjY12+VdBQUFG5V+5cAQG0DSJjRvN8Y07d5oW7J9/LqFpBk5njIYGM5QoKiqiqMhJKGTm\nzz75xMm0aU6uuMLJiSfqXHmlhiQZnH66eXu4YUOcs84Sox4FmZMouCNGaHz5ZZDf/z5CIGCwZk3z\nc7NmeTjssABnneXl+us91NdLfPqpTOJYk9Zm6XYUS4idTidut9tOT3i9Xvt6tQKnYDBoC/Mbb7zB\nV199RSAQaOcd9j96TZjUPGxGIxQKoaoqPp8vq9KvXHa2TZigc9FFGv37G1RWyixbJnPbbRK1tdDQ\nYH7Xvfqqg7Fjdbxe2L5dYs0amTfeKOSuu+I8+aTKs8/KrF1rVjlYUYemwcsvi+oFQXaMHq2xcaNC\nSYlBbS38z/+YKYennw4zc6aHPn0Mnn02zIABBh9+KPPii6Y0nHeel927JYYP1xk1SsPna/ZOSyVX\ni2SJJpWJKQrDMO8OZVlm2bJlvPXWW+zatYvHHnuMMWPGcP/99+eFM3Dei27iBx2NRgmFQng8HgKB\nQIfqbHM1IrKgwMDphFNOMfje9yKEQiEAwmEfDz/s4f77HbzwgjmPYceO5uMcNy7G5MkabrdZtWBN\n77f64cvKRAeaIDvKy8PU1yts3Kjw1lsOTjjB/Aa/6qoYZ5+tcvHF0KePWU3Tr5/BhAlmsLBhg8K/\n/x2ivt5sEX7uOQd/+pNZjmMYzSmG7mqMsN7D5XLx5z//mbvvvpuTTjqJfv36sWHDhiR/tP2ZvBdd\nXdcJhULEYjEcDodd/tURcrWQZjVINDToNDY2omkaPp9vX+OFxNln66xZo7NokVl58MQTMjNnmmK6\nfr2L8eN14nGJvXubT2Qrv5vaDHH66RqvvSYiX0Hr/O53yWUJt94a5fPPZQoKzIUxSTL/TBxik2jV\n4/HAm28qvPKKg/PPj1NVJafN6XY1qddmY2MjBx10EMcffzwnn3wy0Fx/++WXX9oGlKnlYbkynOyI\nKSX0AtEF88Nw71ul6szQjVx8W1vRsssVp6YmhtPpbBF1W0POLY4+2uD4480ysL59w9xwg8SePWZe\nd/Xqtn8fIbiC1iguNqira3lO33+/m61bzfNqyxYZVZXYtUsisdjAyt2uXavwi1+4OfJInX//O8TH\nH8s8/HByx093twCnM6UEU3BLS0ttka2vr7fdfq1RjrkynOyoKSX0goU0RVHw+/04HI4e90mzKhea\nmpoIBEDTvHg8nhYnpNebPBDH5zNF2OOBcFgmGoVFi5S0gnvEEWLWgiAzEgV34kTzruqyy2J8+GGQ\nSZPiTJ4cTzKlPPJIPz/4gY9Zs9zcc4+bN990cMklHm69NcbTT0c46CAj7UJad5Eq7qmmlFVVVUmN\nCkVFRcyZM4cZM2bYj+XKcLKjppTQC0TXoid90qze9Lq6OgzDwOfzUVTksIdDp2LNXrDw+cyTWVHg\nuec8jBvn4513JB57LM7YsTpjx+pMm2YuIU+YsN93Zgv2My64IMbQoeaXtbU24HLBhAkql10W49BD\ndSTJ4Ouvm7j//ghffy2zbp15B7V2bZBzzlHtdEK6UrKeGnaTGOnW1dWxaNEi22TAwrrd37ZtG5A7\nw8mOmlJCLxDdnjanjMfjNDQ0EI1G7bK0RJ+0dKQ6R3i9UFUlce+9DrZtU9i+XWL4cINt2yQ+/1zC\n48E2o5w9W+WPf4xz/PHmRTRkiBBhQds884yLRx4xUwL/+IdZ593UZJ6HkYiEJFl3WxKPPOLiiy9k\npk6N8/Ofx0gIJIH0JWPdRaq4q6pql5UVFxdTVVXV6vBzyI3hZKbbtEXeiy7kbqZuNvtIdAG26oAd\nDkfCpDGDpqb03/5WOsEw4Kuv4OqrzWTa8cfrnHpqjGefDeNywfPPyzQ2Svz73zIPPmhus3SpQn29\nZEcee/Z06lcW9GKKisxz+eSTVYYNM++Uvv5a5oILvLz8spNLLvFyzTUe/vtfmWBQ4sQTfRx6qM7a\ntUGOO05r0RYM5nmb6hrRE/5o1nWa+L41NTVJs23BHNnYp08fBg8enJHhZK62aYteIbrQfZGurus0\nNTXR2NiIy+VqdQxkW+MdHQ7QdYk5cxROOsnFqFHme86YoVFUZHDqqXFuvVXjtdfi9O9vMGaMTmmp\nuc0DDyj85jcO1q0zP7rWhF0gqK9v9j774Q9N0f3tbyNs2BBkzBiN8vIosVjz9kuWhLnzzti+UsX0\nEe3+ZL8O7S9+L1iwgJtvvhnIzEyyq00poZeIbq4j3da80ixjSlmWKSoqSrtI1t4gc1WFhQvN//aH\nHnIwYYJui67DYU52st7f5zNzv0OHGvzkJ+ZFc/fdYsCNIDtWrXIwf76ZXli3TmFfoMZnn8l8/LGZ\nuy0t1Rk9unmRNrFkLBFTjLv8kFslNdJti4qKCg444ABuvPHGrj6srOgVJWOQLJgd/dZN97psjCkT\njyOdZc+KFRJz5jjo29f89/z5cb79VmLxYlOEL7nEzE/99rc6J54oM3KkTjhsLn7U1Jj7uvRSJ+PH\nq+zZY/DRR05+9rM4zz4rGiYELZEkA8MwI1On06C+Xubll528/LJ5vmzYoHDbbSH++lcPBQXJIhYK\nSRx0UMtKmaYmOOSQro10W8vLWqNXXS4XkUgEwzBanTRWVVVFRUUF69evz9lx5YpeJbq52o/1LZo4\nLCcTY0rr9bquJ6UX/vMfifJyB1VVcO+9GmedpTNqlJOTTzY48kjzxD7sMJkbb9S46SYHDofBY4/J\nfPCBg3hc4sknm0X+7rubOProGPfcY+aTolGRXhCkxzDMcyMUkjj6aJ36ehg8WKOhQaKmRubNN2v5\n+GMFw9Bxu82B/taAmVDIhcfTMprs6oW0tkwpEwfhhMNhvvrqKyoqKtJ6pJWXl/PPf/4z6bFcGE5m\nuk1b9ArRTaxg0HW9XQuP9valqiqRSARd1+1OsmznNwQCsG2bxC9+4eAf/5CZM0fjqqs0e6h5ugqG\n/v0Nxo5VmTMnjM8n89prMpMmJUexv/518oCPV18VzRGC9tm82XLPVfjkk1omTCiipEQiFnMgSTKB\ngIHT6UTTNOLxOI2NOooSJRyOJU36aq1kLFdOwIPbMKVMdI349NNPmT9/flrBnTlzJvPmzWshiMXF\nxZ02nMxmm9boFTldi0wGmbeFNVQ5GAy2uUjWFpbofvSRxO7dEo8+qnDppRojR+pEE0xVrQqG5n+b\nxx0OS2zerHDWWU5uvtm8UC68MMTVV5uFvU88EeWpp5qLfCMREekKMuepp+rp318nEjG/6MNhAzBw\nuw1bPF0uF9Gogz59nHbAYd31NTZqOBxRotEo8Xi8Wz3SEtMYdXV1aWfpLly4sIX1zqpVq+yURa4M\nJztqSgm9RHQ7W6trLZI1NDQApu16ukWybDjlFDNt8NhjcUIhuO02B4MHuxg92skVVzh4912ZNWtk\nIhFze58P9uwxBffccws4/fQ4q1bt5ZBDNFwup53aCIcNjjlGp7RUjHcUZM6UKeYCbHGxecmHwxKS\nFKapyTxPLVse6xoKhQxcLs0WOssVIhp1UFio2HeE4XAYTdOIxWK2EHfEESITEkU33SxdqzGhpqaG\nyspKKisrWblyJYsXL7Zbc3NlONlRU0roJekFi2xFN3WRrKioiGBbNr5ZHENBgRm9XnCBzgUXAGjE\n47B5s8T69RJPP61w550O7r9f4aijDDZskFm/3rwgVq/eQ79+4PV68fnMk0zXzd8rGDSIRsNUVeXH\nRCXB/sELL5iX+vPPewkEnEQiEgceWEg87gDMWc6qahpNmmkEf5IljzVsPBgEr1e3hViSJCKRiG1G\naQlwV3ikJV7bqQtodXV1TJs2Le3rDj/8cPvvRUVF3HfffZSXl9tmkqmRca62aY3vpOhajhKhUAhZ\nlpMWyXLlHmGVe+k6WOkupxNGjTIYNcpgzRqN007T+elPdTZtkvh//695iMgJJ/Rj1CiDsWN1tmyR\n6d/fsNs4n3zSwW9/29wJ4/EYIsUgSEthocGf/hTjkkvcjB2rUVmpsHmzxPTp5rl28slePv7YPDk3\nb3YiywH8flNcIxEZj0e3hdgaNt7UZFZDWOe5ZbljraM4nU5cLpd9DWmaZueJdV1v4QaRrRAnWvX0\ntcqAMPO1mY5lzZXhZEdMKaGXiG426QVVVQmFQvaMhNRFslyJrixjz8NNN9zeahP2eAyOPTbCmWfq\nnHOOyjXX+Pnww718+qmPjRsdgJO331Z4+23zpP7wQyfnnaeyaJF5sQjBFbTGCSfoyLLpJH3ssQaV\nlfDYYzGKigwGDfJRXd28bWWlwqBBXoYMMZtxNmxwsGWLl9GjXRQWGravWSgEbrdKJBK3X+twOJLs\ndFLFz7rG2hPiVGueVBLTC42Nje1O89pf6RWia9GWYGqaRjgcJh6P4/V6cbvdaT/YrnAETie6Pp9B\nY6NOQ0MDkiRRWOgDpH3PSYwb10RZmcEbb5QwZIjGtm1O3n7brGRInambitttiFIyAeq+Phpzwcz8\nu8cD8+eb59Gll2rcdFOEefOcOBwGN9yg8p//mDZTTz/t4PbbXdx0Exx2mMHo0Tpjxujs2qVQVORG\nkm33Bc8AACAASURBVFRkWcbpdKLruh3xArZ4WuVd6YTYEmrrWkk1q0wnxKmmlH1SB0PkCb1CdNuK\ndM1bpQjRaBSPx4Pf72/zdia3jsBmMXn//smPa5qGw6FRX6/j8XhwOp37omIzLaFpbhyOyL4ZDhKS\nJOP1Np+0bcz0AETtrsBk7VqZCy80hdaqnJkyxc22beb5MXeuGa2GQnDggabD75gxBmPGaNx+u8H7\n74fp08esM1+1SmHOHDMtUV8fpm9fT4u7RKs5yYpkrR8gKYK1BFTTkheD0wmxrutEo1FbtEOhEAsX\nLqS6urpHJpvlgl5RvWCRKJiGYRCJRKivr8cwDIqKivB6ve1+ULl0BPb7jaTxjuZCRJCGhgb8fglV\ndeNwOPY5S5iF5263QU1NBJfLRSAQIBCQkWUHy5c3e143NMhMmmReRddf38gbb+zt8PEKei/hsMSV\nV7rZvVuyPc8OO0znpZeiHHOMnrBdyyE2oZAZNDidUFUl8/DDDq66KsjWrXs48sj03oOWoDqdTjvA\nKSgoIBAI2NtrmkY0GiUWi9lVDlYbP5gBiSW2YIq12+3Gs28mZTweZ/v27bz77rucccYZlJaWJs3L\nzQd6RaRrIcsysViMWCxGKBRCUZSMO8ksciG6FoGAGekmVkm4XC4KCwspLFT46qvm2y6XS6WuTsXn\ncyDLAbuJ4qWXFDSteZ+rVkUoKjL44AOZpUvhwQcL+OMfm/MXffvqPP10NZWVbm65Zf836RN0HUcf\nrXPqqRp//GNzg80XX8iccoopYL/4hYsxY3T+9S+FESOaZ3oYhinEjY1w1VUuPv5YYuHCWn7wAwdO\nZ3ZVM4kmk4m264kRsbVYB8kRsXUtWakHMMs577vvPqZNm8a//vUvqqur2blzZ7s2PdZj5eXltptE\nRUUFEydOTLLY6UqbHoteIbqJH45VO+j3+zOyXE+3r1wNzvH5oL5epb6+0a6SsLrmPB6dYFCxu988\nngKiUTc+n0Q4LLF3r8HddzuTBBfMC+X66+OMG6dz7rkqkydrnHmmRkmJGapUV8vMmtWXzz9Pvon5\n/e/ruPvuQmpqZI47TuX993vFRy9og82bZTZvNs+Db78NMXiwl/ffj/DaazIXXeRmxAid996T+c9/\nZK67zsVjjzkYM0Zn2DAdw5A48UQP550X5k9/ClNc7MlZ11k6IYZmcU38sSJhwzBYv349Bx54IJs2\nbeKTTz7B7XZz1FFH8fHHH7dr0wNmk8SqVasAs9rh0UcfTRLLrrbpsegV6QXLIseak1BYWNghwYXc\nia6qqrjdcWprY/h8PgL7VtN03axx9Pl0GhrMmkbTacJJOCzhdMLvf++krMyLosD27SEqK8MMHKjj\n9xsMGGCwfLnClCluXnrJwc9/7ua3v23+XQcP1jEMKCtLzpf9z/8UU1Njftwej7D8+a5wzz1RTjxR\nszvQwDSi/MEPdGbOVFmwIMbpp2v87W9R/vCHGP36GZSXm7dZf/97DXfdpVJS4suZ4LZFamrCty/n\nIcsybrebF198kUmTJnHttdcyZMgQfvOb31BbW5uRTY8kSaxcuZK6ujp7Ju6kSZOS3r+rbXrs3zPj\nLfdjJEnC7XbbkWRnEuydFV2rLTIYDFJQIKHrPhRFSVo0MAeLRIlGm/3dfD6DZcsUNm2Sef55ByNG\nmDY9e/aYzhGyDOPHa1x5pcrf/hbj448jnHuuyjnnqEkTorZtk6mqkvjxj5vf77jjNJYti3DiidYt\nWq/42AUZcMstbtauVfjVrxRqaiS2bNH3uUY0nzOhEJSUGHz6qcTjjyvccEMTO3bs5fvf93Y4eOkM\nhmEQDocJhUL4fD78fj8rV67ko48+4vHHH2fXrl3ccccdDBgwgFgslpFNj7XfwsLCVhsYutqmx6LX\n3GO63W5UVe1xn7Twvtocv99PICDT1NRcSmMtILhcLg44wEs4bOautmyRmDXLXCh76KEYpaU6H34o\n8/rrCnfd5eSrr0yR3L5dRpbhuON0Dj7Y4KCDDA44wLCHVQN89FGYjz9u7m4DeP99hfPPl+1FvTfe\naB6S8+KLEX76U0/Wv69g/+Z739NYv17m7rtjzJnjsr3RzjrLy86d5uc/Z06cMWN01qxRWL9eprRU\n47nnahg3zonT6Wtj712HlR601mMaGhqYPXs2siyzfPlyu0xswoQJTJgwAcC26Ul1jciGTCx4iouL\n293mO9uR1tmZutm2ElvdbdaJEgwGiUajeL0umpqw87YOh4NAIIAsy/h88M03EuXlTp591sFJJ2kU\nFsIVV5gLGtbsBoCtWyVGjDDvDf/xDwf/+peCLMPu3ebvePDB5rY/+IFGaalBaanGT36isXWrxNKl\nDvr0MRg7VmPVKse+Y27+v1m+3LwABw7U2blTRMC9hc2bZSIRib594eyzNX75S51Nm3Teey/K736n\n8MQTTgoKDK64wlwYO/hglVdeqcbnc9qLXJ1t280Gq9rIqqN3OBy8+eab3H777dxyyy2ce+65rR6L\nZZ+TSKJNj0VVVZXt+lBTU0NJSYmdB87EgsfaVybbtEWvE91c7CMbn7RQKJQ0AlLTNFwuF6qq4nLF\nqa01b5UcDodtE6+q5iKZtdAxb14MRYFXXkk/pvHQQw0UxeDKK1WOOMKgrExn6lQzMg4EDA4/3ODr\nr+GttxQuvdTFuHE6ZWU6Vj16ba1kC+4tt0SZPVujuNiMZKxGCyG4vYvqamvovXmeFBbC559LxOPg\n90uMGGHwzjsuxo6N88AD9Ywe7QS8dqeYNSRcUZSkn64QYiu6lWWZQCBAOBxmzpw5VFdX8+qrr9Kv\nX7+s95lo0wPY0WliRYM1q2Hy5MndYtNj0WtEN7VBorMnRlv70HVz4HMsFsPr9dq95qqqIkkSDocD\nVVX3dZ058fl8dmXFP/+pc+utBRiGwUUXRRg61OCdd5wsW2Z+FOec42bcOJ1x4zTGjtXp39+08ZEk\n80JasMDJQQfp3HtvjPPP1+y5Dn6/KaLjx2tUVso895yTDRuSRfyEEzT69DEX6yzKy+OsXi1m8vY2\nJkzQWLNGZsoUjWefdbBqlUwsJtG/v9dunrnttgauuSaO399cv95aNUFXCLGVkovFYng8HhwOB+vW\nrePmm2/muuuu44ILLujQftPZ9BQVFSVVMoC5AJZaWtYd9BrRtchFnW1rwm3dAkUiEbveFkhaJEvM\n25aUuNi711yR3bZN4te/drJhg8xdd0U566wYut5cGnP11Q4uvbQPl10WZsMGJ3/5i5PKSpmCAoOR\nI3VUVbInRW3YEKGgoOWxFxcbXHyxxplnxrnjDoUNG5JNrtatU1i3TmHp0maRPe00M9l39tkq//d/\nve50+M6ycqX5GW/ZIjFxosaMGXFuvNFFQYHBRx8pzJnTxA03gMORxghtH1YbblcIsTnHIWRHt7FY\njOuuu46tW7fyhz/8gQEDBrRpp963b99O2/QMGTKEqqoqe6RrdyG1I1A9Y3DfAawi6/r6evtWv6PU\n1tYmeaGl5m2tzrbEfvLEvK3HY9Y0/v/2rjwuqnL9f98ZZtiUTUu9WQEjmksuDIiauYJW3pupgDdL\nKxfAX2VuOHSzMksNKJdKhUG7ZdcKhRatq+lg6u0GGuByU9Nk0BYRFZlhEZjlvL8/ju9hVtZhdb6f\nz3w+cOaZM+fMnHne5zzP8/0+O3aI8d13YgQFUXz4oQteeEGPF180WA38o5Ti7Fng6afd8OOPGhP6\npAjbtnnitdfMxRv69+duR8Mc5HIjBg2iQrpgw4ZKrF3rhilT9NDrxRgwgOKPPwj8/SmuXiUQiQCt\nFti2zTlXrTNDLKZWPd4AsGZNGRYs0MPDo3l60aaw119ryxEDMItuJRIJTp06heeffx5isRgBAQEN\nOq7Q0FCbUyOio6Oxbds2q7xrUlISVqxYYbaNFcXy8/Ph7+8PPz8/aDQaq9eKRCJhKkR9NiY5Xbsn\n0elCm+ZOjwDMo2VbqmSMqshojWy19/DwMGO/7djhguxs3nF//nkNJk0ywtXV9vt16cKTItxve+Rf\nfgEUCikuXyZIT9di7NhqpKa6obBQgtmzdTh5UoqffpIgJcUVly/Xfr9Llnjio4+qEBlJ8cYbYtTU\n8Jz6mhq+IPfVVy5mFNCSklvo1q1tKtVOtBwsHW7v3kYsWlSJ2Ni6o9umoDERMcBf74cOHUK/fv3w\n5Zdf4tixY8jMzKx3tlh9sDemhxEaoqOjzQpdrHgWGBgILy+vFh/Tw9BpnG5zp0dY7suUI24rbwvw\n/bYGg0FYsS1X6H/8Q4+EBILhwzmsWSPB3LlSDBjAITSUL3SFhHCQyZgMJEVVFYFWC6xbx3c0LFum\nR1ycAVKpBIAEPj5iUEowbFgNBg++hVmzDLh6leAf//DGvn18mmDqVANefdUVixcTaDT88dx/Pye0\nnXXtSvHjj9V44glXfP+9GDqd+bmPGGFETo4zx9vZcPKkFm5utpX1WgKmjphSCp1Oh+rqaiFo+fjj\nj3HixAlUVFRgxIgRSEtLw9q1awUSg0qlQrdu3VBQUAC5XG6Vj7Wk4hYVFVmJiKekpKC0tBR9+/bF\n9OnTUVBQYPa8SqVC//79kZ6eDj8/P3Tv3h07duwwc6j2xvTUZVMfOo3TZWiu02UtZ5WVlXBzc6s3\nb8sIGbYwYQKH48erhf8rK4GTJ/ke2n37xHjzTQm0WoLgYA79+nG4cYPgnnvcMWeOEcePV1mpk7m7\nAzU1PDunpoZi82aCTZvc8PTT1YiI0GHGjGpMncoPXrtxwwXz5/vg2DEXweECQHk5waZNLsjP57fJ\n5byzjonRQ6mU4OrVjqnc5IRt5OVdR1CQG8TitunF5jgOt24PA2SszM2bN6O6uhpHjhxBt27dkJeX\nB7VaLThcQgjefvttYR8hISHQaDRCOsGSipuRkYH09HSMHz9eiF7PnDmDt956C3/88Yewn/Xr1wt0\nXY1Gg/fffx9eXl6CQw8PD0e/fv3w4osvCpRepVIJpVIp7CMxMRFRUVFmi4ClTX3oNDldjuOEvCsh\ntbfpDYVp3pZSCjc3N0ilUpt5W7FYDDc3t2ZNHWa4dg3IyxPh++/F2LyZvz27997anG1ICIehQzl0\n6QJ88YUYGRlizJ5dDYXCDf7+HJKT9ejXjyA2VopRo4yYM4cnY+TnA+PG8dW2b7+9geBgI1591Qtf\nfOGKBx/kcOSI+XrbrRsV2oyc6Phwd+fw+++aVo1uTcF+T9XV1XB1dYVUKkVhYSEWLVqECRMmQKFQ\n2Ky7REVFIS4uzkwTISEhARkZGbh48SIAvutg8uTJmD59uhlZwbT4TSlFz549UVRUJOzn9ddfx1df\nfYVHH30UGo0GZWVliIyMNKMDp6SkYOPGjVizZg3UajXkcjkmTJhgdownTpxAenq6MKbHlg3qyOl2\nGqfLbmGqqqqE/GpDYZq3dXd3F2Y8SSQSiMVigZbInm+MalnjzwMoKCDIzeUj4rw8EX7+WYSAAIoz\nZ2oj1p07b2HqVL6VDABeekmCgQMpZswwYPVqvgWtd28OgwdTfPABr0e6fr0LVq1yR7duHAYO1EMs\nBlaurMLEidZTVZ3ouHj/fQ3+/neD0BveXGp8Y8FaKtnvhRCCDz/8EJ9//jk2b95c54ib6OhoyGQy\nrFu3TtimUChw6NAhYfquafGLgTlfFiQ5yqYZuHOcbnV1NYxGIzw965egY7c+jAXD8rY6nc5qqqmL\niwskEokgtNyaqK7mkJ9vQFKSGw4e5CPc69cJhgzhc8OhoRw+/1yMCxdE0GoJZswwYOVKPb75Royj\nR8VITdXh00/FiI3lq3iXLt1CXp4Iy5dLERhoRFaWBKtXl+G11+4cKcjkZA3i4zvfYlNUVAJ3dxeb\nIuKmj5ZwxKbRrVQqhaurK65cuYJFixZh6NChWLVqFVxtVZLrgUwmw8KFC7F8+XLBKTa3y6CRnQhN\nQefvXmhMIc2039bV1RXe3t5mSvYuLi5C9ZU5Wpa+YEpmLi4uVhexo8EWAJ2uBsOGSfDFFwaIRHx+\nTKsF8vP5aHj3bjH+/W/+q7znHg7du1Pk5vJaCz/9JEJEhCv0euCFF/S4epXA0xNITJSgsFCEefMM\nOHWKoqjIsRXt9oa5c/X48MPa21lLhxsRUY2DBzuuBsU//lGBhAQKsZj/Hu11EjDxcMDaETcnmGDR\nLcdxwnSWzz77DGlpadiwYQNGjRrVpP0qlUqEhIQIRAdH03WbS+ltCjqN02Ww7J81hWkKgukksE4F\nBjZLTSzmFcAs87Zs3pNpOwzjqZs64ubSJRk1khBi8zi8vXl9BqbRUFWlQ0kJQV4e74jXr5fg6FH+\nNb/+CiQm6lBUxBMsjh8XwWDguxoefpjDypUEn3/e6S4FM3z4oQTbt9dg3jw+0nrgAQ5//asR77zD\nOydbDnf//ut45JHGU1AZ7ruPw2+/tfxd0ZUrpfDykoIQ2+9l2dJlKSLeXEfMghGpVAoPDw9cv34d\nS5cuRe/evfH99983KtXHkJmZiYMHD4IQgvT0dGG7o+i6jqL0NgWd6pdmOn/JEpb9tix6Zf22pnko\ny35by/dgFySDpQo+m+kkFoutHHF9YDPd6mpFswV3d6B3b4revY2YOpX/AWm1wI8/inD9Ou+MGSHi\nt99E8PfncOmSCGPH8s4mIsKIXbs6/uXARtIHBnJQq2s/7ylTDILDBYBHHzUiNNR8cQ4K4vC3vxmx\nfj3/OT3+eHfhuREj9Jg16xYWLeJZUNu3azFvnjUjaulSPTZtcoHRyKd/WtLprl9fhvnzCcTixt2y\n1zfNgV3DpqPXTa9j06EBLJ3n4cFLmO7Zswfr16/H22+/jQkTJjQ58JgxYwZmzJgBrVaLkJAQpKWl\nNWnceXtEx/+VWcAyvWCat2XkBnZxWfbbsiprYy8Ulm4wddT2bunspSVYFF5TU1NvK1pD4e0NPPoo\n71jmzDFi40Y9ysuBs2dFSElxwaVLIqFroTM4XICf6VVdDTOH+5//VOOFF6QYN86Iw4f5xZLjgJkz\nzZ3Vr7+KUFZmRK9eHIqKROjaFSgpAR56yIhJk3TIypIKtv/8p3X0tmVLOU6dkgrEhAsXao8hLMyI\nY8fM71buv5//bkxb+hqK4uJSeHo2/lq1B3uO2N5dHbtD1Gq18Pb2Rnl5OeLj4+Hm5gaVSmWTotsU\neHt7IzY2FhMnTrSpJtYR0amkpUx1E1jHgVarhUgkgre3tzAEkqUfdDodKioqQAhB165d7Y5lbwps\nDehjguUsQigrK0N5eTkqKytRXl4uLAxubo6jaJqCEF5tasQIDh99pENl5S389lsVvv22Grt21Tj8\n/doC5eXWn9vDD7thwQI9vvmm9hz37BEjMtKAgoJbeOwxgyDwvm2bBEVF/M+ib18OIhGFt7cec+dW\nY+fO2sg4L896kfriCzd07WrEkCF8VLxlS+0trKnD9fTkg4LoaCP++tfa1FavXvVXzL/6qhTl5RXo\n0qXlW8FYlCuVSuHu7o4uXbqga9euEIlEtydauyAjIwMymQwPPvggrl69iiFDhuDatWvCPjIzM5Gc\nnIy4uDhMmjQJmZmZVu+Tn5+PtLQ0wZaN1GGYOHEiNBoNli1bhp9//hkAsGfPHpvHfOzYsXptAgMD\nBfabPd2F5rLj6kKncroMlFJotVoYjUbBmZo6W6PRiMrKShgMBnh6ejZoSnBzYesCZgUHFj0wUkZF\nRYWgLeqA1pV6MXasERMnVqKo6Cpu3ixFUVElNmzQ1f/CNoS/f+3n8t57OkyZwusQr1ypQ2ys3sz2\n/vs5xMdL0a9fbd722WcN2L5dh549gfvuo2aTNhYs0EMqpfj73yvBcQT//rcb+vXzw4gRtcXGCROM\nuHbtFiorb2HVKv6zmjePAyDBqVMSfPqpB+bMqS3WhYbq8NNP1/Dvf5eiTx/+vb7+Wox//rPWec+e\nzW+XSq3TYyEhOpSWahAeLm317hkGg8EgBCleXl7gOA6XLl3C1KlTkZGRgVmzZuHcuXM4c+YMAAjU\n3vj4eKSkpGD37t1QKBRIS0sT9smIDgsWLMCwYcOwdu1aJCYmmond/Pbbb6CU4qGHHsKcOXMQGBiI\nDz74wMzm8OHDEIvFePnll+3amNJ1fXx8BEqvKRpL6W0KOsc95W0YDAaUl5cDQL15W5YvbQuYStqx\n1hrLyae2Chy28mrNBWvxYWpP/DwqICbGgJgYw+1jAoqLCebPlwq3522NS5dqHc8HH7jgwgURevbk\n8OyzBvTpU3vrX1l5C5QCH30kxgsv1KYTdu50QVKSBIMHc4I+BgCkpNQgMLAGubluePppA86e1aNP\nH4oxY4wYN67WaavVIgQEuGPQIE6IYvv354tzHMc0jGuP0cVFjHHj7sJf/sLh1195+3ffLcX99xvx\n5JN+uHFDhPPneVudrva79fHhsHOnFmPGSCAS1aY3WhO2BMb/+9//YuXKlVi6dClmzpwJQggmTJiA\n+fPnC69Tq9Vmsomms8sYo8t05phGo4FMJsMLL7wAhUKBXbt2AQCSk5NBCBHG5ISHh8PDw8PMZs2a\nNRg+fLjwXrZsWoLS2xR0mj5dACgvLzeZT8azsVi6oaamBnq9vsl5W0fAtI/RVI2svtfYUnFqbreE\naYtPUxYgSoHsbBGmTXNFRUXbMtnc3SmeesqAbdsk6N6d4sYNgqefNuA//xHhm29qsGiRFCUlBJs3\n6/Dww24ICTHiyJEaXLxIEB7uhuvXzY+/SxcOFRUi7N5dg3/+U4xTp/gpDAqFHteuEbi7UyQkGFBW\nxtO6p0xxBccR3HcfB42GoKyM319YmBGDB3Pw9ATWrNHDYADOnSOIiXHF6dMiDBlixIULIlRV8fbv\nvFOGNWu6oLSUvybGjq1BZmYFXF1d2zS6Zd087u7uqK6uxurVq3H58mVs3boVvXr1svk6jUaD8PBw\nZGVlmeV31Wo1+vTpI7RkWRIUkpOTER0djYCAAOEuTyKRYMGCBdiyZQsAftrvtGnTcPjwYTOb77//\nHqNHj7ZrM2nSJCiVSuG9tFotoqKizCb7Wto0A52fHAHwOVqDwSCkDkwT/hKJBK6urg6h7jYFrBXN\nEaw2024J9mhot0RdUXZzodMBn3zigkWLHB+RzZypQ3o6v9/t20vx+uteuPtuDvn5EkyapMeBA7YX\nDZGI4s039XjhBQNcXHix9+HDjXjuOQNee02Kp54y4B//0EEsrsH06Z6387wSbNwohZ8fxc2b/Gcz\nbJgR06YZsXevGA8/zOHNN2tTGPHxvP5xbm4VoqNdoVaLMHgwh169qDCPbsoUA+Rynszy449iVFQA\nSUl6VFUBY8bwEbRaTVBdTW7/XYyuXcXCgisSiWwSHFoKltGtRCJBXl4e4uPjERMTg2effbbehcDP\nzw+HDh2yUuRiTtceQSEtLQ0xMTFISEjA1atX8dFHH0Gr1ZrZnDhxAsHBwdiyZQuuX7+O119/vU6b\nioqK5lB6m4I7w+nOnTsXRUVFCA4ORpcuXfC///0P69atg4eHh8Aus+weaOkIguO4VomybUXDgHla\ngv2QRCIR3N3dWyV6un6dJ2Js3dq0VE6PHhTFxQTjxhkxb54Bs2e7IjCQw/r11QgL06FXLx+4uVG8\n8UYZZs+uRnGxBMOGmQ8OlMlqVd1WrOAd99ChHDZvrsGgQXphVMzMmb5YvNgAoxGYPt0Nd91FsXat\nDqGhHPLzeUo208fo148TnOj27S44e1aE7t0pXn1Vj7lzDcJEjzVrJLh8mZ/OnJcnQn6+SOifjow0\nICSEw5tvSlBZSRAUZMCGDVo89JDYrFWwrkW2JUbpmI7PcXd3h8FgQGJiIvLz85GamtqsKFCpVOLl\nl19GSUmJ4IBt1S1EIhFUKhX8/f0dYuMgR9oYdH5GGgBs374dP/74I1588UX88ccfGDNmDP7+978j\nKCgIoaGhGDFiBGQyGQAIfYimEQSj+DriwjVtAZNIJEK+tKVgqwGeOWLWd8kEQQghMBgMLTbzyhR3\n3QW8844e77zDR4Y1NXqcP6/DwoU+OHmybkfs5sY7XAB44gkjZs/mc7LHj1fj2DERRo/mo5rs7GoE\nBblAq/VAairvVB98UI/9+2+AEDEKCqTIzZViyZLaXK/BQKFUEgwZQjFihAcGDhSB4wiOHhXj3Xf5\n4/rppyqw8VxBQUbMnGkEIcDdd1OEh/NjkZRKCc6e5b9XkQj4+WeCnTvFkMs59OtHodfzTn/6dCOm\nT+cXwnXrXHD6tAgREUasWCFFZSV/jocOaeDjY51ystWSWFdvuOn13Bi6r+X4HIlEgrNnz2LJkiWY\nOXMm1qxZ0+xr2HR2WWcgOjQFncrpEkJQUVGBZ599FgsXLhS0O8+fP4/s7GwolUqcPXsWrq6uCA4O\nRmhoKIYPHw4fHx+hcGV64bIIsbEXWn1sstYA67k0GAy3h2RKBdU0R5A4GgvTHPKAAe7473/1APS3\nn+NvrZ9/Xooffqj9rNitNgAsXizFZ5/VYNYsKV56SYqjR0XYsEGH555zRc+eFPv3i7FkiTvGjuXw\n9NMG9O9P4e3tdft7BbZtk2Ls2Br06GFEt24Ujz5ahdOnXZGT44EtW8S4eJE/5yNHxOjdm4NUCnTv\nDisYjbwofFAQRXq6CFevEsTH67Frlxjbt+uQmytCVpYYSUkSXL9OhBa2oCCKkBAO997LT3Tw8wO+\n/FKM3r2NSE/XYMSIxo09r683nNUOgIaxzCzH53Ach40bN0KlUmH79u3o169fg4/NHmzNLrsT0amc\nLgBMnjwZkydPFv4Xi8UYMGAABgwYgHnz5oFSioqKCuTm5iI7OxuffvopiouLcd999yEkJARhYWEY\nOHAgCCGN7h5oKpusJWB6i2jq+FkBzvSYW7JbwpL04eHhYbUvkQjo04fiu+9q+2hraviOia1bXfDe\nexKMGmXEk0/yke7OnS544w0d7r6b78udPdsVhYUEKSk6jBvHISGBj1Rv3SJYvdodu3a5YO1a5b2P\ndQAAH4lJREFUHaKj9Vi9moDjKEaOBEaMqIbBUIm9e92waJE3amoIZs/WYfduCaqrCQIC3IWRSCyV\nwHF8AVGpdMOwYRyOH69CURHBvn1ijBzJYeRI06kc/Ay6q1cJPvtMjGXLpOA44MYN/vyXL6/A9u3V\n8PKqv6DaENQ3wcEe3ddgMECv1wvX7MWLF7F48WJMnjwZBw8edIiqXmNml3V2dDqnWx8YEWL8+PEY\nP348AP7CvHz5MrKzs5GZmYnXXnsNlFIMHjwYISEhGDFiBHr06CGI3lh2D7CIsiHC5i0NU8fPCnZ1\nHUtdaQlLFpJl9F/fOdpz/A2BqyvfP7tunR7r1rHUBJCa6gIvL4rcXDFiY/nLV6US45lnDLhyheDX\nXwk4DsjKEkOpdMHIkRyOHbsFHx89KiurQYg3XF3F8PAQ4c8/CZYskaCggGDPngrI5bxTeuQRF6Sl\neWLjxkqcPCnFyZMSbNhQq2UBAGPGGBEXZ4CnJx/92vJL3brxPdAyGcX//Z8Bly8TPPGEK27cIFiw\noBIrVxobFd02BQ1JOwHADz/8gM8//xweHh44deoU0tLSEBYWZrW/jIwM+Pr6mundMlhOcwgODhbs\nEhIScOjQITMb1s9bVlZmVgDLz88HAJw/fx7Xr1+3acMQGBgIHx+fem3aEzpVIc1RYLmtEydOICcn\nBzk5Obh8+TK6d++O0NBQhIWFYejQoZBKpbhy5Qr8/PysOOr1ObuWOGbTiNKRXQn1FXIs0zCmle+W\njvh/+43g99+JoD2cmysSaLVyuRErVtRgwIBK3H033zWydq0bRCK+QPfmmxLExuqxbJnBbHbdvn0i\npKa6YNeuChgMBhiNRnz3nQQKhTc4juDJJ3WorBQhP1+Mc+dqW742b66BXM6hf38qOOFFiyQYNIj/\nGb35pgvi4irx4os16Nq15Qk59mB6rbi6ukIikeDkyZN49913cePGDVRVVeHs2bNYuHAh3n33XeF1\nKpUK0dHRyMjIsCpMqdVqxMXFmbVfRUdHIzExEYmJiUhISADHcVY2Xbp0QXp6OqZMmSLsZ86cOTh7\n9qxA+7W0YXYhISGCTZ8+fZCRkWHVKWFq08q4MwppjgIhBG5ubhg5ciRGjhwJgL9Qi4uLkZOTg8OH\nD2P16tW4dOkSJBIJ4uPjMWrUKAQEBAgOm+XHWqJIZ4mWziE3RluCkVB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"text": [ - "" + "" ] } ], - "prompt_number": 5 + "prompt_number": 8 }, { "cell_type": "heading", @@ -154,7 +145,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 6 + "prompt_number": 9 }, { "cell_type": "code", @@ -187,11 +178,11 @@ "output_type": "display_data", "png": 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L5Z5Ikru/V3PbknvaA3f/SZ3HBoBBqvrdWqVeTgDa93f7sJEFt7NCa3Dm8ZC57bqkE/Hp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\n1/PI+upoPU+a5zbXc/K7fUfhi/EDSUOPE22pY3UsTZzn1tZ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"text": [ - "" + "" ] } ], - "prompt_number": 7 + "prompt_number": 10 }, { "cell_type": "code", @@ -212,7 +203,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 8 + "prompt_number": 11 }, { "cell_type": "heading", @@ -278,7 +269,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 15 + "prompt_number": 12 }, { "cell_type": "code", @@ -297,7 +288,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 16 + "prompt_number": 13 }, { "cell_type": "code", @@ -319,7 +310,7 @@ ] } ], - "prompt_number": 17 + "prompt_number": 14 }, { "cell_type": "code", @@ -349,7 +340,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 18, + "prompt_number": 15, "text": [ "(-0.2, 0.6)" ] @@ -359,11 +350,11 @@ "output_type": "display_data", "png": 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"text": [ - "" + "" ] } ], - "prompt_number": 18 + "prompt_number": 15 }, { "cell_type": "code", @@ -392,11 +383,11 @@ "output_type": "display_data", "png": 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RMJJCRPoBPIAxqlkABREpAthW1U0AUNUTEVkQkUUAr6zeors8UXQIIb3HhQsX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\nJLXQiBFCCEkt/z8zAwkz3y21HgAAAABJRU5ErkJggg==\n", "text": [ - "" + "" ] } ], - "prompt_number": 19 + "prompt_number": 16 }, { "cell_type": "markdown", @@ -419,7 +410,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 22 + "prompt_number": 17 }, { "cell_type": "heading", @@ -433,7 +424,7 @@ "cell_type": "code", "collapsed": false, "input": [ - "problem = DC.ProblemDC(mesh, mapping=mapping)\n", + "problem = DC.ProblemDC_CC(mesh, mapping=mapping)\n", "problem.pair(survey)\n", "try:\n", " from pymatsolver import MumpsSolver\n", @@ -444,7 +435,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 29 + "prompt_number": 19 }, { "cell_type": "heading", @@ -468,12 +459,12 @@ "output_type": "stream", "stream": "stdout", "text": [ - "CPU times: user 4.7 s, sys: 582 ms, total: 5.28 s\n", - "Wall time: 4.41 s\n" + "CPU times: user 6.05 s, sys: 708 ms, total: 6.76 s\n", + "Wall time: 6.01 s\n" ] } ], - "prompt_number": 31 + "prompt_number": 20 }, { "cell_type": "markdown", @@ -497,8 +488,20 @@ ], "language": "python", "metadata": {}, - "outputs": [], - "prompt_number": 32 + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 21, + "text": [ + "array([ 0.0186522 , 0.0211157 , 0.02374998, 0.02677094, 0.02987307,\n", + " 0.03446037, 0.03920482, 0.04541832, 0.05344991, 0.062497 ,\n", + " 0.07516488, 0.09013051, 0.11364832, 0.1407387 , 0.18918521,\n", + " 0.27485483])" + ] + } + ], + "prompt_number": 21 }, { "cell_type": "code", @@ -533,7 +536,7 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 34, + "prompt_number": 22, "text": [ "(-500.0, 0.0)" ] @@ -543,11 +546,11 @@ "output_type": "display_data", "png": 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1PYnjUnH3vYk6DgB7FFiLiIg0V6afNfEmv54w5G0lcU6ZmQGcJiR42U/IujrW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\niuxXpIyZVc3svpk9W6eKY218ra4zs11mdsTMno8/9/aiHu3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"text": [ - "" + "" ] } ], - "prompt_number": 34 + "prompt_number": 22 }, { "cell_type": "heading", @@ -573,7 +576,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 35 + "prompt_number": 23 }, { "cell_type": "code", @@ -610,7 +613,7 @@ "\n", " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", "-----------------------------------------------------------------------------\n", - " 0 4.33e-01 6.26e+03 4.48e+00 6.27e+03 8.79e+03 0 " + " 0 2.61e-01 6.27e+03 4.48e+00 6.27e+03 8.80e+03 0 " ] }, { @@ -618,7 +621,7 @@ "stream": "stdout", "text": [ "\n", - " 1 4.33e-01 6.16e+02 3.99e+00 6.18e+02 2.57e+03 0 " + " 1 2.61e-01 5.22e+02 3.96e+00 5.23e+02 2.50e+03 0 " ] }, { @@ -626,7 +629,7 @@ "stream": "stdout", "text": [ "\n", - " 2 8.65e-02 2.66e+02 3.93e+00 2.66e+02 1.05e+03 0 " + " 2 5.23e-02 1.67e+02 3.91e+00 1.67e+02 8.21e+02 0 " ] }, { @@ -634,7 +637,7 @@ "stream": "stdout", "text": [ "\n", - " 3 8.65e-02 9.60e+01 3.92e+00 9.64e+01 3.61e+02 0 Skip BFGS " + " 3 5.23e-02 7.93e+01 4.08e+00 7.95e+01 2.62e+02 0 Skip BFGS " ] }, { @@ -642,7 +645,7 @@ "stream": "stdout", "text": [ "\n", - " 4 1.73e-02 7.46e+01 4.01e+00 7.46e+01 2.16e+02 0 Skip BFGS " + " 4 1.05e-02 6.35e+01 4.25e+00 6.36e+01 1.71e+02 0 Skip BFGS " ] }, { @@ -650,7 +653,7 @@ "stream": "stdout", "text": [ "\n", - " 5 1.73e-02 4.24e+01 4.41e+00 4.24e+01 1.20e+02 0 Skip BFGS " + " 5 1.05e-02 3.01e+01 5.08e+00 3.02e+01 2.36e+02 0 Skip BFGS " ] }, { @@ -658,7 +661,7 @@ "stream": "stdout", "text": [ "\n", - " 6 3.46e-03 2.73e+01 4.78e+00 2.73e+01 8.23e+01 0 Skip BFGS " + " 6 2.09e-03 2.33e+01 5.32e+00 2.33e+01 1.57e+02 0 Skip BFGS " ] }, { @@ -666,7 +669,7 @@ "stream": "stdout", "text": [ "\n", - " 7 3.46e-03 1.10e+01 5.73e+00 1.10e+01 2.42e+01 0 Skip BFGS " + " 7 2.09e-03 1.01e+01 6.69e+00 1.01e+01 1.34e+02 0 Skip BFGS " ] }, { @@ -675,16 +678,16 @@ "text": [ "\n", "------------------------- STOP! -------------------------\n", - "1 : |fc-fOld| = 1.6315e+01 <= tolF*(1+|f0|) = 6.2674e+02\n", - "0 : |xc-x_last| = 7.2794e-01 <= tolX*(1+|x0|) = 2.6641e-14\n", - "0 : |proj(x-g)-x| = 2.4186e+01 <= tolG = 1.0000e-01\n", - "0 : |proj(x-g)-x| = 2.4186e+01 <= 1e3*eps = 1.0000e-02\n", + "1 : |fc-fOld| = 1.3195e+01 <= tolF*(1+|f0|) = 6.2702e+02\n", + "0 : |xc-x_last| = 7.9764e-01 <= tolX*(1+|x0|) = 2.6641e-14\n", + "0 : |proj(x-g)-x| = 1.3417e+02 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 1.3417e+02 <= 1e3*eps = 1.0000e-02\n", "1 : maxIter = 7 <= iter = 7\n", "------------------------- DONE! -------------------------\n" ] } ], - "prompt_number": 36 + "prompt_number": 24 }, { "cell_type": "code", @@ -695,7 +698,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 37 + "prompt_number": 25 }, { "cell_type": "code", @@ -730,14 +733,22 @@ "outputs": [ { "metadata": {}, - "output_type": "display_data", - "png": 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WYFuGY3VAG7AD2JWuXDZl0pyT1X8DKSy0TrisBASbyAaR6b1g2T3+Ka0Kte4+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GoAM4ABxOVy6bMmnOyeq/gRQWWidccgHBJrJNZXovWHePf0qrQr27T234QkWm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+ "text": [ + "" ] } ], - "prompt_number": 38 + "prompt_number": 26 }, { "cell_type": "code", @@ -758,7 +769,7 @@ "language": "python", "metadata": {}, "outputs": [], - "prompt_number": 39 + "prompt_number": 27 }, { "cell_type": "code", diff --git a/notebooks/DCexample.ipynb b/notebooks/DCexample.ipynb index 1c3389bb..e9b969b8 100644 --- a/notebooks/DCexample.ipynb +++ b/notebooks/DCexample.ipynb @@ -1,431 +1,656 @@ { - "metadata": { - "name": "", - "signature": "sha256:47e57cb7825ee0b5628ee304d569cc545b931cba68c34571eb6de7caf4d5ca9a" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ + "cells": [ { - "cells": [ + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ { - "cell_type": "code", - "collapsed": false, - "input": [ - "from SimPEG import *\n", - "import simpegDC as DC\n", - "%pylab inline" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "Populating the interactive namespace from numpy and matplotlib\n" - ] - }, - { - "output_type": "stream", - "stream": "stderr", - "text": [ - "Vendor: Continuum Analytics, Inc.\n", - "Package: mkl\n", - "Message: trial mode expires in 20 days\n" - ] - } - ], - "prompt_number": 1 + "name": "stdout", + "output_type": "stream", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] }, { - "cell_type": "code", - "collapsed": false, - "input": [ - "cs = 25.\n", - "hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]\n", - "hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]\n", - "hz = [(cs,7, -1.3),(cs,20)]" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 2 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN')" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 3 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "blk1 = Utils.ModelBuilder.getIndecesBlock(np.r_[-50, 75, -50], np.r_[75, -50, -150], mesh.gridCC)\n", - "sighalf = 1e-3\n", - "sigma = np.ones(mesh.nC)*sighalf\n", - "sigma[blk1] = 1e-1\n", - "sigmahomo = np.ones(mesh.nC)*sighalf" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 4 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "mesh.plotSlice(sigma, normal='X', grid=True)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 5, - "text": [ - "(,\n", - " )" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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- "text": [ - "" - ] - } - ], - "prompt_number": 5 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "xtemp = np.linspace(-150, 150, 21)\n", - "ytemp = np.linspace(-150, 150, 21)\n", - "xyz_rxP = Utils.ndgrid(xtemp-10., ytemp, np.r_[0.])\n", - "xyz_rxN = Utils.ndgrid(xtemp+10., ytemp, np.r_[0.])\n", - "xyz_rxM = Utils.ndgrid(xtemp, ytemp, np.r_[0.])" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 6 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "fig, ax = plt.subplots(1,1, figsize = (5,5))\n", - "mesh.plotSlice(sigma, grid=True, ax = ax)\n", - "ax.plot(xyz_rxP[:,0],xyz_rxP[:,1], 'w.')\n", - "ax.plot(xyz_rxN[:,0],xyz_rxN[:,1], 'r.', ms = 3)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 7, - "text": [ - "[]" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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- "text": [ - "" - ] - } - ], - "prompt_number": 7 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "rx = DC.RxDipole(xyz_rxP, xyz_rxN)\n", - "tx = DC.SrcDipole([rx], [-200, 0, -12.5],[+200, 0, -12.5])" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 10 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "survey = DC.SurveyDC([tx])\n", - "problem = DC.ProblemDC(mesh)\n", - "problem.pair(survey)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 11 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "try:\n", - " from pymatsolver import MumpsSolver\n", - " problem.Solver = MumpsSolver\n", - "except Exception, e:\n", - " problem.Solver = SolverLU" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 12 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "data = survey.dpred(sigmahomo)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 13 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "u1 = problem.fields(sigma)\n", - "u2 = problem.fields(sigmahomo)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 14 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "Msig1 = Utils.sdiag(1./(mesh.aveF2CC.T*(1./sigma)))\n", - "Msig2 = Utils.sdiag(1./(mesh.aveF2CC.T*(1./sigmahomo)))" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 15 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "j1 = Msig1*mesh.cellGrad*u1\n", - "j2 = Msig2*mesh.cellGrad*u2" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 16 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "us = u1-u2\n", - "js = j1-j2" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 17 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "mesh.plotSlice(mesh.aveF2CCV*j1, vType='CCv', normal='Y', view='vec', streamOpts={\"density\":3, \"color\":'w'})\n", - "xlim(-300, 300)\n", - "ylim(-300, 0)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "pyout", - "prompt_number": 18, - "text": [ - "(-300, 0)" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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WhWvyqlOnOBcudKNLl1L4+gYwbtxpkpN1rEebg6OjCdu3V2X+fFc+/vg+Q4aE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\n6NJlnU4lolKZExYWSEzMVcaPz750vDYsLc1ZsKAFgwZF6ZyN2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imz9pbmMj4OmpwtNTjaenL15e4OkJtrZwxx0QEACJiVKE8/nzUrl0CWpq2p2k\nG4ukM4528Ox98OMF8N9v4dTiLyml70GdN1kkrSxdBS/9HX7+Q4jef9PhniyS9midnfF/+GFc7rgD\n56goWlQqsk+dIjsmhuxTpzCmpSEoFCg1GpQaDbZubkRt3EjA/PkISiVKtZqK7Gys9XoKv/mG/EOH\nyDt0iHIzVwDr0iKxtYMtn0FhPjy9Fppu7sFaapGc2rCc/10qfS/vH4P/+wzyzBl2G0KLxPJJevMs\nC0EALy/rNoHx8VEyZYozkZGONDWJXLhQSlxciWlbSkpKRTcxIMNnkUgM3GT7iBOS/mKOkKjVCiZP\ndmXWLC9mzfJkxgwPcnOr2bo1kb/85VynVw+NkNjYqBgzxoGICE/Gj7cnIsKe8eP1VFY2kZhYSXp6\njUk0qkzCUU1FRfsflKVDYhYucNTF0Ja1NYwbBxMnQmSktA0Ph4wMSVyOHJEWbuoLLnr4xTL48b0N\nHCaTXSRR1oegum6FBGDKHfCf/8LuD+D/ftNhptZcIelMoY8P3tOn4xMVhdf06SiUSmzd3GhuaKC5\noQErgwGdhweIIoJCGn69smMHl9eto8WCCYWbhMTgCB/shyvn4fmfQEvX3vF9FRJrVCwjiCUV4Xxy\nGn7/MWT3Zf78NhKSnup5edkQGenIhAmOREY6MWGCIy4uVly+bCQuroTY2GJOny7m2rVyRFEWkhFL\nV0JiZaUkKsqDWbM8mTXLk6lT3bh2rYyvv87l669z+eab3B48uQZeSAwGDZMnOzN1qjPjxxuIiHDE\nx8eWpKRyLl6s4tKlci5eLOfSpXKKi829uQy/kHSFSiWJSWSktP9uuWVXe2jXl6wkhHG4cJzr7CGF\nBjMWp+1RSACcXOBfH4JKDT95UOrFY7mQmDNQZufhwZ2//CUTH3kEpUbDmTfeIOWppyy6XgchCR0L\nf3kTYk/An37ZYz1zhUSDgu8RyPcJ5gKF/Pino0jJt6Ch3xEh6Qp7ew0REQbGj3dk+nRnoqJccXDQ\ncOpUPjExBcTE5HP6dCGVleaOC8tCMugIgiCqVH9jyhQv5s/3Yf58b2xt1TQ2tpiEI4eTJ/MoLzf3\nBt0/IVEoBMLD7YmKciUqyoWoKFc8Pa359ttCLl0ycumSkYsXS0lKKqepSWSgJ9t7Z3CF5CbMHNrq\nTOtkuwe2/JCxBOHAZq7yNdk91utVSEAaEH/qBXj4MXjqYTh5bFCFpBUrBwemPvUUBZcu0bxnj0XX\ne8gTcHFaXi4PAAAgAElEQVSDZ38Hdy2FF5+BvTt6rdebkCgQmI8PaxjDNYx8QDyZVNw02W4232Eh\n6Qo3N2umT9cTFeVOVJQbEye6kJZWwalTkrB8/XUuaWndme+ykAw6giCIZWV1pKdXcORINkeOXOfE\niVyqqix11OybkOj1GmbMcCcqyouoKFemTnWmoKCWmJgiUynkypUyWlq6+9xlIemKzl5bY3HmUcbR\nRAtvcYkkuh6oN0tIWrlzHrz+AWzbxPbn/ozYxdxCb1jquRxkQR2llRWrf/MMPPZz2LkF/vFHKDdv\nrZGehGQCLjxGBNco5XPSSW732cpCMpD1boyCqNUKIiKciIpyZ9IkF+bP90IU4ejRHI4dy+Xo0Rwy\nMlqFZeQJyYjz2hoIgoLeG7JsoXZ2au6804N587yYO9cTd3cbkpPLOXmymNdfj+fUqSJKSswO5ZUx\nkysU8wxHmccoXmA6VyhmC1co7M+aI99Ew92T4elfcX9WFmlbtpDyzjtU9cfBfjAQBPxWr2bCn/8M\nV87A96ZBZv/b6I4tjzIOP+x5h0vEMICLiliAQgEODkocHRXY2yvQaBQ0Noo0NEildb+xkQ7PmR85\nP3JobGzh7Nkizp69EZUbHGzPnDmeLFzozZ/+NI26uiaOHs3l6NHrHD2aTXb2IKwEZyG3pUXSV6+t\nnumotdbWKmbMcGPuXC/mzfNi3Dgnzp4tJDo6h6NHczl9uoCGhhZGShxJ79yaFkl7tChZQQj3EsDH\nXOML0qk19dr6ZJG0Y58+lKBHH8V/zRqMFy+S8tZbZO/d2+uE+KBaJIKA6+zZRL78MoJCwbmNG1mU\n9o1F12tvkVihZBWhLMaPT0nmU1Jo7Gb+aSAsEp1OWtM9NBScnaV9R8ebi04nUl7eQmlpM1lZjVhZ\nCWg0gikWpKt90GgErl2rxmBQk5dXT15eQ6ftjf2CggbTcHIrw2eRmENoqANz53oxd64Hc+Z4k5NT\nRWxsAQcOZBIdnU1FRV+dNeShrW4ZaCERBBWTJrmwYIE3ixePYtIkFy5eLObo0Vyio3OIicnvZunN\nkSskCgV4empxc9Pg4OCOTqdEp1N0W/Lzm/DyUpsCFKVSU+NEdTUdSnk5lJRAVhYUFtK1y+MgCEkr\nTlixghBm4s0HxHOIDD63UEha50gUGg0+999P0KOP4jBuHGlbt5Ly9ttUdpPGuD9ConVyYszzz5O+\nbRvGuDgAbHx8cF+wAI+FC3GfP5/C48e5vnevFKQoij0HJPbA3Tm7EYC5+LCesVykkC1cpaQXF2tz\nhUShAF9nGO0JoV4wug5Gj5aKvT1cuyZlMzh/XvrtlJZKxWi8sV9entCd01mPaDS5uLtr8fDQ4OGh\nNZUb++7u0n5CQhXe3lbEx1ebSjEJCZUkJlZSW2tZ/EnfsNxrSxBgzBhHFi4cxeLFvkRFuRMXV8RX\nX2Vx4EAmcXFFZqSdl4WkWwZCSJydrbjrLl8WLx7FokW+FBfXsn9/FgcPZvPtt3lUV5szbDa8QuLs\nrMbf39pUrNrtW+Pjo6WkpJGYmHIcHOyorGyhsrKZqiqRyspm02OpVFVJW2trBba2Ara2ClNxw8ZG\niiFpLfX1kofWqFGg18P165KotJbMTMjyg6xiyCiCxj6MPvYlsj0IBx5lHHZo8F+9Ak4cNv9CJrqa\nbLcLDCTokUcIWL+ekrNnMcbFUZmcTMW1a1QmJ9NQWmqRkCi1Wu752c8Y+8ILKLVaUt97D7G5GfcF\nC9A4OJB/5Ah5hw5RcOQI1VlZHepaKiQbc6JZz1i0KHmTSySameiwKyHRqmGsD0wMgIn+EOkPFTUQ\n4glJuabyhSQcSUmQnd1NJ+MmBneORK0WCA62ITzc1lS0hIXpCA62Iy+vjvj4CuLjKzl3rowrV8pJ\nSKjspt3DH9luba1i9mwv7rpLEhZHRy0HD2bx1VdZHDyY1U1SWllIusUSIVEqBaZOdWPxYl+WLPEl\nJMSB6OhsDhzI5MCBHLKyLBmLHBohsbFRMn68PZGR7kRG6oiIsMPf3xqFAtLT60hPr21XpMeZmXXU\n17d29QZnaMvaWlq/29dXEpbW4jsFvJ3Aw0EKZIvPhoQcaRufDYk5UNPFGLclKVKi8OTX6c6QlgS/\nexZSEs2u25PXlkKtxmXWLFzvvBNdcDD6kBB0wcGILS0UXbtGSXIypaatMS2NlqYmNLa2aOzs0NjZ\noW63P2blSlzGjEGhUKBQqxFFkYqkJFLfeYe8Q4cou3y5x7tun4UkIBh++WeK7lnC21zmW3K6TljX\nDV+vWc4EP4j0uyEcIZ5wLRfOp8P5NGl7MROq2xs3t9Bku1IpEBBgS3i4jvBwPY6OGpYt82hLm3Ly\nZAkxMaXExpZSWdnESBCSzowapesgKjY2avbtS+ezz9K5dKk1VYQsJN1irpDodGqWLPFj6VJ/wsMd\nEQSBAwcy2b8/k5Mn82hsbL3RjpxcWwaDmshIB1OxZ+JEB3x9bUhIqOT8+Rri4iqJi6skPr5zsGJP\nDM8ciVoFQe4Q7g1hXqatN4R4QGH5DXH5JhGOXoEZ71uYa8tvNWx4Ep58Dj77CF59CYy9R9JZ4v6r\ndXGhIjgYx+BgnEJCcAwORhAEDIGBNFZX01BVJZXqahpN+z533IFTSAhW9vYIKhUKpZJLv/sdl198\n0axrmi0kzq6w8UW4dyVs+iv3Px9FvZnpQ+xQE4UnM/Gi9KI7DrY3BON8mpRjq743p8hbSEi6w9VV\ny/TpjkRFOTJjhhMTJzqQllZNTEw+J08WcvJkISkpfYm4HZqARJVKwcyZntx7rx/33ReAWq0wiUoy\nx45l09DQ+juQhaSNnoTE09OW++7zZ+nSAGbM8ODbb/PYuzeNffvSyM2tuflkwHAKiaenFXPmuDBn\njjPTpjni42PNlSsVnD9fRlxcGXFx5SQkVNDY2J/4k5E12a5QgJ+LJCxjvOHOMJgVBuk2hZwmn1jy\nyMX8jM5tk+0GJ/jZb+Ce78M7r8PWN6C6e0tzKOJI2jMlMpKxL7yAz7JlJP7975x/9lmz6vUqJDa2\n8Piz8MOfwq73JRdhY2mvcSTtxSMMJ+Io5Buy+cOaaR0tDXPpo5C4ucHGjSVUVEhDrRUVUpH2Oz5X\nUdF5ImVo3H9VKoGICHtmzLAlKsoFGxsVEyc6cfBgDgcP5nLkSF4vHpvDE9keFmbgvvsCuPdeX8aO\ndebw4Sw++yyVrVuXyELSSmchGTPGkaVLA1i2LIDAQHu+/DKDvXvTOXAg08zYkqETEk9PG+bM8WfO\nHGfmzHHBYFBz/Hgxx44VcexYMVeu9PRDvz2EpCtstPC/22KYijtTcaeWJmLJ4zT5xFNCcw+DMzd5\nbfkFwbO/hZkL4K3XYMu/uxSUoRaSVq8taw8PWpqaqDdzcZZuhUSlgh88As/8Br6Nhld+Bdcz2g53\nJSTdicdp8qkzWS9DFUfi4gIbNhSi10sOH3q9ot2+ssPzjY0ihYXNpKc3kpbWQFpaMenptaSlSUO6\nlZXmTpz332srJETPokWeLFrkxezZbiQlVbQJS0xMUbuRDhgJubZcXKy5+25/7r03kBUrQmQhaUUQ\nBHHSpG088EAowcEOTJzowt69aezdm86JE7k0NfXVDWTwhESvV7NokScLFngyb54HBoOG48dL2oTj\n6tXukr11eTYL2znyhQRuzJEIQCAOJlHxwANb3uYSh8nqsl637r9BofDMr7sVlOESkr5yk5BYWcOK\nNTBnMdjp4I+/gMvnb6rXXkgCsGcFIfigI59qTnQSj/aMxIBEGxsBPz81AQEaAgLU+Ps3EBBgTUCA\n5FxSU9NMenotJ0+WkZ5ex+nTFVy4UEldXed7wcC6/6rVCqKiXFi40JNFizwZPdqeEycK+PjjDKKj\n87lucVrrkReQeFsKSVJSKbt2pbBzZzKXLvV3ZbaBFZLAQB333uvD977nzdSpLpw4UcBnn2Xx7beF\nXL1ahijKcSRd0d1kuyNWKBAo7qZ312scSTeCcssJiacPrP8JrP4hnD0Jm/4Kp7uPMbk7ZzcRuPAA\nIYxCzx5SOEA6Nb3cpEaikNxMx6EtV1cNAQHWhIbaMG2aPVOm6AkLsyUxsZozZyo4c6aC06criI/P\ns3AxK/MEyNFRy/z5Hkyb5szatUFkZVWyZ086e/akc+VKX5YHloVk0BnsgETzkYREqRS44w5Xk3j4\nYG+v5vPPs/n88+scOdKVK7EsJF0xYAtbdUd7QXn7b+z661s0lPZ97e8hF5L7ZsAjT8OdC+Dj92Hz\nv3qOclcq4e7lJG96Ey1KPuYax7hOk5m+W7eikHSFVqtgwgQ7pkyRhGXKFD0+PlouXCjjwIECzpwx\ncuJEiZnxJH23ZKT7gj3LlvmzbJk/LS2iSVQyOHkyv4cUSjASheS2TJEy3FhZKVmyZBSzZ7uzZk0g\n6emV7NuXzcMPf8358yV9GK6SGTJSEuHJhyRBeehRlqalUfTNN2Tu3En23r00lluYtngQUKjV+K5a\nxeinnwYne3jvn/DsI1DVg8eQlRWsXA+PPQuFeXxIAmfI75Pr7+1EfX0LsbEVxMbeEAG9voZJkwzM\nmOHIr38dSkSEPbGxRg4dKuTQoUIuXCgbsP9uc7PI11/n8fXXeWzceJLx451Ytsyff/zjDry87Ni3\nL4OPPkrh2LHcTvMqIxPZIukV87RWo1GwePEoVq4M5J57fDl7toStW1M5ciSvB4+wrhhqi8S3T6+2\nt1fg46PCx8cXHx86FBsbiIrq5QRLLGzmM5ZVi1kUaVG96X9MgdH3wpiV4D8PMo7B1Z2Q9BnU93DD\n/taydnJHL8ftfcBvLvjPAXtfEJvh1OuceigXepADFQ64sRIDs2igiFy2UMVFog7GWdbOv/e9SrAX\nTKyUsh60L9W9Ot8lW9JCwNKlGjtaFnq9ijlzXFi40JWFC11xdNRw5EghBw9KwpKdXdtlPfPpejjW\n11fH0qV+LF/uz5gxjuzencb27cmcOJFnErKRZ5HIQtIr3QuJWq1g4UJvVq4M4t57fbl0qYSdO1PZ\nvTuNwsJuq/XCyBASX18VkZFaIiO1+PiomDbNCh8fKWDu+vUmrl/Xcv06N5VuMofc4FYRkhcv3Hig\n1cPo+2DsKvCdBelH4MpHkPwF1Hfy+BooIdF7g/9c8JsjFY2dJGYZxyD5AJRJS/qe+u2ELk9nxSg8\neBgn7qKEw+TxAXVktB0fSiGZPQ7+Z5KUP8vJ6UZRqSRBKS2VtpcuQUMDpKS0lnSuX29qv96YmQyM\nkHTGx8e6TVTuuMOJgoJ6vvgin08+ucalS+YsE9mZ3r22fH11rFoVyA9+EIyTkxUffZTC9u2JnD9v\nnldfz8hC0i2DLSQKhcDMmR6sXRvC0qX+JCQY2bkzlY8/TiUvr73lMXJzbbVHqfRl9GhNm2hERmqZ\nMEFLba1IXFw9cXF1XLhQz7VrjWRlNbXz2Q+2rJm3opC0x8oBQpfB2JWSwBgCoDwLyjKlbVwWFGZC\nYRYUZEJlpxuMIIC1HVjrwFYvbW10MFEHWnvwmyUJh1Z/QzjSj0FRfJfN6SwkdkTgyVp0RFLALgr4\niMYu0p8MpZAAcPNqxmi1HYXF3h6CgyEoqLU04uamJDOzidTURlJSGklJaSAxsYHLlxvIz+9OYQZH\nSNojCDB9uiPLl3vy/e970NIi8sknWXzySSaxsebkuYK+uv+GhRl48MEgHnwwiJYWkf/+N5nt25O4\nds28pQNuRhaSbhksIQkJcWDdutGsXRvClSulHDx4nV27UsnO7s4+711IbGxU1NQM7WS7RiMQFeXA\n/PkGwsNtWbzYhZycJpNo3ChFRb11A7+jQtIeQQF27mA/Chx8pVIzCtx8wdW0VSgh7giETJEEQ2sD\nddVQWwk1ldK2ugKsKyWxqMyVxKMo3qyEVJKQKHBkLh6sRY0DeWyjiH209JCAcSQISe8ko9UK+Pur\nCArSEBSkJjBQjbW1wLJldlRXtxAbW0dsbB2nTtVx/nw9tbUiQyEknetFRDiyfPkoli+XUpJ8+mkm\nn3ySxddf53fKMNwey+NIJk925cEHQwgOdsDV1ZrNmxPYseNaHxbsA1lIemAghcTBQcuqVaNZt240\nfn46tm1L5v33k7h61Rxvnq6FZNQoWx56KIA1awI5cCCHjRvPdHrFwAqJQgGRkTrmz3dk/nxHoqLs\nSUio5siRUqKjSzl1yp6qKkt+A/0XEkEAD0fwdwM/N/B3v7Hf1AyBHlBeLSUALHeH8iaoaOq4Ta+B\n85VQ3E1s6aAKSVd0Htqy1YPOERrrJeGoq+5aIHqbI+mGU7+NZBz/pYV6cnkfI8fAjCWIexKSUVYw\nxxFmG8BJDV5a0ChMpQI0atCobpTcUrC3hfR8yCiEjIKO+xkFULfXknfX8xxJUJCaadOsmDbNiunT\nrRgzRkNiYgOxscXExpYTE1POtWt9mZ8cmDiSkBA999/vy/Llo6isbCQpqYKtW1OJje08HNX/gESl\nUmDhwlFs2BDGokWj+OKLDDZvTiA6+rqc/bc/9FdIWr+YdetCWbzYl4MHr7NlSxIHD17vo4/5DSGx\nt9ewYoUva9YEMmaMAzt3ZvDBB6mcOtXVOGf/hcTX14p77nFm/nxH5swxkJ9fz5EjRo4cKeXYMSPl\n5e2toL5Ntt/AfCHR6WDsWBg/HkbNhUlBkmiMcoGyKkgvkEr7G1BWIbSIoLeRblL6lWCvBnsV6JXS\nvl4pnX+VOyTXwIFi+KoETpVD61c17EJiLhYLyQQ0eNDQx0Wo2guJv7UkGrMNkoBYK+CYEY4b4Uol\n1LRAQ2t5DxoaoaGpXWkEZ3vwc73RIfBzNW3dTN9zKURHw0MP9aWVfZts12oFIiO1TJtWw7Rp9tja\nKomM1HHgQAkHDpRw+LCUcqV7Bn49ktaO47p1QQgCbN2ayrZtaWRmVjHQke2Ojlb84AchbNgQhqOj\nFe+/n8iWLQlkZHTXPllIusVSIRk1Ssejj45h5kwPrKxUbNmSwEcfJWM09nmmDwC12pbFi71YsyaQ\nRYs8OXw4lw8+SOPLL7N7ceezTEjCwjz4/vddWb7cFQ8PDXv3FnHiRBnR0aXk5fVk7g6ckCiV0iJF\n48ZJotG6dXGBq1fh8mW40ACpeZJwZBZCrbmr2fUwtKUSIMoBFjvBYmfpxnikVBKW/xmzmAYK+vzu\nbiUh6StK7PjLhRMsdZXEQyVIonHMCMdLIamnTrwFQ1uCAB4XpDmQhD6FhvTfayskxIYlS5xYssSZ\nGTPsOX++kv37i9m/v4RLlzqnxhncha2mTnVm7dpAVq3y5/JlI1u3JrB7dxqVlX1dBrx3r62ICGc2\nbAjjBz8YzZUrJfznP5fZty+d+vr29zNZSLqlL0KiUAgsWeLL44+PJSrKnW3bknjzzaskJLQfuupb\nqE1oqAM/+lEYq1YFkZFRzbZtqezcmUFZmbljl+YLycSJDqbJPi9sbdV88kkhu3cX8u23ZX1YEGhg\nhMTfH65cgZwcyfvm8uUb27Q0brRnCOZI3DSwyAmWOMMKjzIaKKCUo5RwgDozx89vNyERUOHAnThz\nN/ZMZ2uOjpgySUCS+zL6M8RzJJbR9Xdsba1g7lwDS5Y4s2SJE1ZWCg4cKOHTTwuJjjZSW2vppHXf\nBEijUXD33d6sXevH3LlefPFFJm+/ncDXX+eaOUlvvvuvRqPge9/z59FHxzBxogtbtiTw1ltXSU0t\nRxaSHjBHSNzdbfjRj8J59NEx5OXVsGnTZXbuTKG2tqsvqHch0WgULF8ewOOPjyEkxJ53303k3XfT\nyciwZB2T7oVEEGDaNEceeMCL5cs9aWwU2b07h927czl71jLLaaCERBCkNUhqerspDflk+yRsCceZ\nu3DiLhoooIgvKOErmujeZfN2ERI7InDmbpxYSC3pFPMFJRxm6sHjll3wFhaSzgQH27B4sRMTJuhY\nvtyFzz/PY8eObA4eLDBl1DYXy+NInJysWL06kDVrRuPoqOXNN+PZvDmR0tKeTHXL4kgCA+157LGx\nrF8fxvnzhWzadJF9+1LbDdnLQtJGd0IiCDBvng+PPz6W+fO9+eijZN588woXLvSWOK17IQkM1PPj\nH4ezfn0oFy8Ws2lTPJ99lmFKDDlw7r8+PtasW+fLhg2+nDlTSnx8Jbt353L1akWP9cxj8OdIOjCs\nXltK7JmKM/dgYBaVxFHMF5RyHJGOf9xbWUis8MWZu3HmblpoMInHfurbzaPcKl5bltF3ry1XVw0r\nVuhZvdqbsDAdn36ay44d2Rw7VmSGdT8wAYnTp7vxxBNjuO8+Pz77LIM33rjKqVNdDcv2LyBRq1Wy\nYkUQTzwxBl9fPe+8c4W3375Mbu5jspC00llIbG3VrF8fxrp1oYiiyHvvJbB9e1IfxiU7ColKpWDp\nUj8eeyyciAhntmxJ5K234klN7fxj6p+QaLUKli3z5Ic/9GXSJAd27Mhm8+ZMzp3rzvyWhaQrupts\nV2CDI/Nw5m7sGEMp0RTxOVVcRKTpFhMSATvG4MAsDMymiUpqSKCIL6ih61UhZSHpCuk/7ONjzcqV\n3qxe7Y2XlzW7dmWzY0c2MTHdeWsObGS7o6OW9etDefzxcKqrm9i06SoffpjcbtmLgYtsHzfOmccf\nH8/q1aE4OVnLQtJKq5D4+Tnx5JPjWb8+lKNHc3j99Yt8840lKV0lIXFysuKxx8KZNUuajN+06Sqf\nfJJGQ0N33RXLhGTixFH88Ie+rFrlzfnzZWzenMmePbldpLzuzHdXSKwUoBCgpovRPXO8ttS44Mxi\nbAnFgZlUcB7HL3ZByldQ2sc0jEMlJGpr8J9PwUMbMDCTJiowchwjx6niCr25AN8KQvL22+WcOFHL\n559XU1ral3xTAxdHEhxsx6pV3ixb5oFKJfDBB9fZsiWTkpKGHuuZR89eW4IA8+d788QTY5gzx5N/\n/OMy27cnk5zc34zmrdzoTNvZqamqekpO2tie3bvvZdYsbzZvTmDSpI/IzOzL8pcdCQ114JlnxrNy\nZRCffJLGs8/G9DHlc+/Y2alYudKPp54KR6fTsmVLJpMmRZOVZal74O2DUgGeTuDjIMU3+LQrrY91\nSkipkVyCr1RJ5XKltBXQ3jRs1ZlGisjjA0DKTWXPNBw9J8HM56C5QRKU1IOQdgTqLb1p9IKDLwTd\nBWff6v41Ok8IXiKla/GbA7lnqeUcuWymnmyLLqtXSc4J7lpp21rctZK7bwtwrgLOVkBiNWYuztt/\nFAo4fryWZcvs+Mc/XDh/vp49e6rZu7eKzMyB6pH3TnJyFX/4QyJ/+EMi06YZePzxAJKTF/Hll/ls\n2pTON98M1E39ZkQRDh/O5vDhbDw9bXn44WBOnFhGbGw+r712gePHLV0J8mbMW+Sve25Li+SJJw6z\ndWsy1dWWfzgLFvjws59NYOJEVzZtusobb1ylsLAvN/beLRI/PzuefDKU9euDiI7O5403Ejl2rMbC\nDKO3j0WiVsHiSfDQXDDYQfgouK6C63WQVSdt2+8XmTqHvtYw1u5GGWcHY3V11FNADSnUcI0cerhR\nt6NtaMt1DAQukm7yPjMg/yJkHIWq/BtpUcqzoM6UHbivFomTJ2z4Pcx/EJQa+L0WHPzBORRcQqVt\na8k5A3VlUuLI5P1QV2aR+y8ocKs9h4cGGkUoaID8emnbfr+kURLryXqpeGrh4jU4mwznkqVtUg7m\neQj2Y2jLykpgwQIbli2z5d57bcnNbWbPnir27Kni4sWuvCEHN7LdYFCzZs0oHn/cH1GETZsS+OCD\n1D54ZrbS946ilZWSNWuC2LgxkurqRl57LY6dO1MsWLAPbnmvLUEQHgBeAkKBKaIonm937Dngh0id\nn6dEUTxoen4SsAWwAr4URfHpbs5tcUCiVqvkoYdG88wzEQiCwGuvxbF9e1on32tz6V5IZs1y4+mn\nw5k1y4333kvm3/9OJCurNdXKyEja2DsDLyQzwuHhubDiTki4Dh8ehV0nwFiFxXMkpxZNwYpRWBOI\nBjfy2WZWvS7nSFRW4DsTXMeBU5CUhbc1PYrYIglKhinHVmEWlOSCWgtKlZQqpf1WawNLfwK29tIY\nhtI0ONBYC5V5UJx4c6m+OYDVMiGB1V/HUdgAtX24/+hVMPGgFFA6OVjauhtg+3E4c036riq689ob\noDkShQJmzLBi2TI77r/fjoyMRmJi6ti8uYLU1NYb49ClSJk504nHH/dhyRIv9uzJ4p//TCAuztwR\nC8sDEgUBlizxY+PGCYwebeD06Xw+/TSN2tom7OzU2NqqSU+vYP/+nj6LW19IQpGs5jeBn7cKiSAI\n4cB2YArSikuHgWBRFEVBEE4DT4qieFoQhC+Bf4iieKCLc/dZSHQ6NU88MY477/REqRT4298ucPjw\nddPRgVkhUatVsnq1P08/HYa1tYrXX49n69bUIc+1dTPDKyShPpLl8YPZUNcI26Jh+zEpWLEDIzHX\nVnusHCRRyW2XawtAZ4DmZmhugpZ2W4USlvwIrGwBEVQaSYz+qING8wM7LBWSgZojcbCD2WNh7XyY\nPwH2n4X3j8Ch89DcXqQGabJ93DgN69bpefhhHYmJDWzeXMHHHydQXW1J58/ygERnZy3r1wexZIk3\nKpXAK69c4csvs3sZXRiYyPaICGdiYx9Ao1HS0NBMU5OIRqPkq68yuffez3s4zy0uJG0XF4SjdBSS\n54AWURT/Ynp8AMlyyQSiRVEMMz2/GpgjiuLjXZzTbCFxcrLi6acjeOKJcRw4kMnLL5/rIo9W/4TE\nYNCwZk0gzz03ngsXSvn73+M5eDCnhx/Y7S8k9raSeDw0V0qlsf2YZH1c6GFhvxEvJK30dWjLwQVW\n/QKWPg4aW/idBprNH5IdbiFpj6MOVs2SRMXX9L1uPQKX0hl0ry21Gu65x5YNG/TMnKnlk08Kee+9\nXE6e7MuCZP2PbFcqBVas8ON//3csWq2Cv/71Ktu3d+eUM3ApUlQqBbGxDzB+vDMqlYLGxmbWrj3E\njpXu+jUAACAASURBVB09fYYDJyQKSyoNIp7QYdYwG8ky6fx8DpavEYunpy2vvnon166twdXVhmnT\ndrJmzSEzkzGah6urFS+/PInk5OWMHm3P3LkHWLLkEF991ZOI3N7MmAFbNkLGZpg5Bn61FXzWwf97\ntxcRuZ0pK4I3n4XXfGDnyj6JyEijtBLe+AKiNsKcX0BtA3z2IsT9E558EpydB+/ajY2wZ081S5fm\nER4eQ1JSDe+8E05iYhS/+IUvrq4DlQ28Z5qbRT76KJ1Jk/bx9NOnWb36/7N31mFRbW0b/+2hW8HA\nFgMDUBHEBANpQezAbj12YOtRj93Y3YUdgI0YmNiKWMcWExUpBeb7Y+CIOLFnwPN+r6/3de1r7ZlZ\na689te71tBUPHzZj6FAbTE1/3j2kpqbj5raXN2+SkEqlxMWlEBRUl61bPalU6Sd+8Bn4aV5bgiAc\nASzlvDRKKpXu/1nzyhDGt7dWlszdc+nSZgQGVqV58zKsWRONnd1mXrxQWaZNLRQpYsSwYVVo374c\nmzc/xN5+P0+fqjPHv72Q/FwPmLx5oUMH6N5dVshoeQgMnQJv1c1GcUmz+ce7T9Bo3KH2jTWb0Eyz\nYfjFAduhqnrDxqPZ+9P08yRWXLe7sTA2CsbNBJeq4FUG7t2D/fth8WI4d07MVTT7bcbGfmHmzMfM\nnPmYGjXM6Ny5EBcuOHHsWBxz5jzm1i1F/8fc/e8dO/aSY8deUrmyOcOG2fDwYTNWrbrH/PnRalZN\nFYf375Np2HAPly61ol+/k4SGPqJnT1sOHvTj0qXXTJ58kfPnswY4xgC5s4P7aUQilUrdNBj2HCiW\n5XFRZJLI84zzrM8r8X1zI6uNoly5vHTrVpFOnSqwePENrK038O6d4loNmsDKyoThw+1p0aI0q1ff\nwcZmD7Gx/7vuu87O0KMHNGoEBw5Anz5w8iSgmabpOwiATT4omQfy6GccetnajPNkHEkHXpDACxJ4\nntG+J/l/ol65KboUwpBCGH3XDm4NZfNCXDK8T5a1ccnwPun785h3cEtV8gclkEohIgoiVsKMGdCp\nE2zYAPHxMkLZvFlEWp0c4Ny5j5w79xFzcx169SrCkSNVuXo1nlmzHnP8uCZVDdXHtWvvadfuFCVK\nGDNwYEXWrq3DnTsfmTr1QrZieDnH7dvvKVZszT/r2+zZV1i06DpdulRk2zZP7t//yF9/XeTEiedA\n6YwjE0c1nvf/g41kqFQqjcp4nGlsd+Kbsb1MhrH9PNAfuACEoNTYPh0woHRpM8aNc8LLqwRTp15i\n5cpbGmTaVM61ZcqYMmaMI40alWDJklvMm3c940vUNLJd03EWGo7TVENY4YdndHWhbVto1UpWw33F\nCtmi8T6rxlBTImkO5SygvS20s4UrsaAtgQ8p8CFj4fuQ/O1xZlurSwSWGFEYI4pktIUwwghtXpL4\nD8E8Jp6XJPCMBD6QwqH7Gkok+zR8f36aDfMosxdDtCmGMcUwIT/6lMYMSwwpjBHpSHlJIrEk8CJL\nu2NxLQQgr77sMDf4vs08N9CGMnlhzXVYfwOer9Hw/WUxyQgCNGwo21w4O8PGjbBkCcTEZB+kVqrg\nLFC8x9TTk9C2rSVDhxYnJUXKrFmPCQ5+lVF8StOYEPU2jAUK6BMYaEvnzmVYty6GadOuqBlaoJmk\npqMjISCgHD4+JbGw0Gfs2AjOnMn6WQ3/7zK2C4LQBAgC8gEfgStSqdQr47VRyNx/U4EBUqn0UMbz\nme6/Bsjcf/sruLa0ePEljB3rjL9/KRYsuM68eVf59EldH+9MyCeSokWNGD++Go6O+dm58yELFtzI\nVp3sf4dITE1l0sfAgbIMwDNnwrFjCoapSSQWeaCVO3RoD8VMYdMt2HADbogsWe0+Sv7Kro8WhTOI\npTBGFMQAK8wojjEAJslR8CUGvtyBr5ntA1SqP34mkWhZgm4F0Ckva3Ur8NawNsbo8JTPPOUzj/hE\nbAZBxpJIvIL7PTxFPHNVKwRdKkPLCnAuCtbsg30RsjokoqHAtl+smOy3062bLFP0nDlw8J/tYe4T\nSSYEATw9LRg6tARlyhgSFPSE5ctvEB+vySKtmebB0lJg5Eh72rWzZuXKaGbMuCpSU5IzdbSWlkD7\n9uUZN86RmJj3jB17mkuXYvmvI5KfCUEQpG/fJrJ06U1mz75CXJzYgheK8D2RWFjoM3KkPZ06lWfZ\nstvMnHlFQSDSr08khQvDgAHQtavszz9zJly7pmKYCCLR1QEfZ2jvDfWrQcgpWP8Rjj36VrBKLBQR\niTKYoUvws79AtzzolMtoy4N2MfhyHdCC9LeQ9g7SMtrMx6ffQtI7SPkASAFBtmqB7BwyHmeeS0A/\nL9TND1ryjgKyVpoMWuYyQvsSLTu+RtOh8BBek6S2mk4dIsmEgTY0/QRdGoNdGdgcBqv3wnUxzlUq\nnMR0dKBxYxg9WqYO++sv2L07WkPHFPUivu3tTRgypDgVKuixY8czgoLukZCgzmKtqQpbNq5IESNG\njapKq1ZlWLr0FrNnX1OxbuWOXVNHJ4UuXSoxZkxNoqJi8fe3/k0kmRAEQZovXxBvc6DX/R4yIjE2\n1mHQoEr072/Htm0P+OuvKGJjlek3f10isbHRY+jQUvj5wfr1MHcuPHkicrASItHWhj4twL0GGOrD\n+hDYeQziE4Dmat8moBmRAApUW7qgXQi08skOST7Qssh4bCF7HGcBBvng0xPIZ5cxTpqlvK70++fe\n3QbjQmDyBtIyj9dZzrMc0h+NxB5lNKphqxGRALBD1lgVgU6+smPEAtjyg5I5G9TwNvb1hbFjwcAg\nmcmT3xEc/EmN+jqgLpFkwtr6CxMm2FK3bn6mTYtm2bIHpKSImThnRJKJEiVMGD26Kk2aWDFxYhSr\nV0crILTccpCRza+np0XPnlUICmr4m0gykdVGkhvQ1dWlZ08bRo2qytGjzxg//iIPH4rxN//1iMTG\nRo++ffPi72/CggXaLFkCceraKxUQSSMXmDUQHr2EoXPhZvZcif8viEQE/gM2Ek2QUyLJhEQiy4f2\nVdXapkHYiofHE8aOzUf+/FpMmfKOTZs+kipqDdU0B5XMRlKpUh4mTbKlSpU8TJp0m7Vr/86woShC\n7hBJJkqVMmXMGAfc3YsybtxF1q6NIT096/y5SyTfoLlq6/9bHMn/GwgCNG9ehjt32uDuXhQPjwO0\nb39MJIn8WihWTJs1awpx7FhxYmK+YGV1nylTNCARObArC0eWwIwBMGg2eP4hh0R+4/8t0tNFkIiG\nOHQogTp1HtOzZywdOpgRE1Oa7t3zoP2TU81ev/6Bxo1P07LlWVq1KkZ0tBdt25ZAItFojVUbDx9+\nokuXcJo0OUTHjuW4cqUFbm5FVQ/8D+I3kchB9eoFiYxsQWBgVdq1O4avbxjXr/+8LJ//X2FursWs\nWQW4csWKp09TsbZ+wLx570lOzrkUW8Aclo6GI4thzwmo1ArCNE3B/hu/NE6cSMTV9Qnt27+gRg0D\nbt0qhZ+f8U+f9/z5d7i5RdC9+yX++KMMV6+64+5e8KfPm4mLF19Tt+5exo27wMKFzoSF+WBra/6v\nza8OfhNJFhQtasyGDW7s2OHN4sU3qF49mMhIkRFYvxAMDQVGjrTgzp1SGBhIsLX9m3Hj3vDpkyYZ\nRr+Hni4EdoRb2yEhCco3hUXbEKmy+I3/JpgYwabJUKaY6r5iEBmZRNeuL+nX7xWTJ+fn2LHiVK6s\nlzsXV4ITJ15Tu/Yxhg+/xvz5VQkJccba2uSnz5uJvXsfYWu7jZCQxxw96svy5Q2wtDT81+YXg99E\nAhgYaDNunBNXr7bm0aN4ypffyIYNd/7nUplIJNCjRx7u3i1NpUp61Kz5iD/+iCU29vtVXktLs+u7\nuMCJFVC1PNTsBEPmwAfNS8VoDBN0KIMZjhSgLoWphSXVKEBl8lERc8piBrq2oFMWtIuDVkEQTAHd\nf/9ms0LQA0le0C4KOtagZ48N5jiQn1pYUp2CVKcgdlhQBjMKY0Qe9NBDwy8sh0hMhou34examTeW\nTi5lCDl8OIEqVf4mOPgTBw8WZ+XKQlha/vzSSmFhsVSqdIijR19x5owrM2dWxsTk3ynp9PVrOgsX\n3qRcuS3ExSVz4UJLAgOroqf3n/lus+N/3tjepo0106bV4uzZWAIDz/DkSfaVLXey/4qFtXUBvLwK\nMX/+XTVH5szYXquWAYsXW3LrVjKzZ8dx+fKP/ux580qYNq0ABgYSOnQQnwvEzAymTwcfH/hjtiwG\nQW2oYWzX0wKnwlDCDFz9oimAAQUwzGgN+Eo6r0niBQmkI0UHCTpI0EXrn/OyKc9kC3fmkRYri91A\nW+aKK02StelJGecZj+9Gy9LLS6V889aS0ybHyby7tHRlRz7djLl0sx16kPoGdMsBqZCeKPPeymhv\n6ZUgmVRSSCOWRIpghCE6GKCNYcZhgDbaCCSSSiKp3OQdV88XY3cMnH0O6eosATtUd8mO4oVgYS8o\nVQp69oQzolWYquNITE0ljBplQdeueZg37z1z5rwnKUmzIl/qBCQWKKDHlCmV8PIqxOjRUaxbd1+D\njafmSRtLljRh7lwXbGzM6d//JAcPapI6P/eM7f+zRGJvn5/hw6tSurQZAwee4syZlwp6/jtEoqen\nxciRdvzxRwUmTbpFUJC69ao1IxJz8+JMn14AT08jBg16xY4d8kWEgABTZs4syM6dnxg9+g2fPpUT\ndX1/f1iwQJZjacQI+FRa9Ri5UINILI0guCk8+Qhatvd4TSKvSeI1SbwhiUQRXi+KvbYkIOiDYCBr\nJQYZ5xmPz2qBll6WWBHh23nWNj1NljY+/YusCmOtLyCVc/AF0pNBmoi8+oRivba0EP4hFXP0MD/l\nQpNyUMAQ9t2D3TFw/DF8UZV9XQMiAeAKNG0K8+dDSIjst/BBZb418QGJJUvqMG1aAWrWNGDw4Nvs\n3CkyYvU7qG8HdXQ0JyioMlpaAv36nefCBfFxB4aGX+WUkRCDb2O8vEoQFOTCjRvvGDTolJrVYH8T\niUKoIhJTU10mTapBq1ZlGTbsNBs3xqjYSfx8ImnYsBCLF9fk2rX3DBx4nefPNdmpqEckggAdOxZi\n2rRybN36ibFj3xAf/6MNpGxZXRYvtsTCQouePV9y8WKmpPJjipSssLSEhQvB1lYWtXz6dMYLIgIS\n69hD47owLGvK8t/uv3KRU/ff0nnB3xqaWEPFfHDwIey+C2EP4LO8ONscEAnIsiBMmQJNmsDgwbBt\nm7JB6ke216plwPDhRujrS+jZM5pHj9TJqaeZQ40gJNGuXWmmTq3Kli1/M336Dd6+VR0IPWNGFezt\n89GrVwQPHqjjDfo9+ejpaTF0qD0DB1Zh/vxrzJx5WWQxvt/uvxqhdeuy3L4dgIGBNhUrbmLDBlUk\nIkPNmgUZNkyzug/KULCgAZs2ubB8eS0GDrxAixYnNCQR9WBjY0REhAO9exfFy+spAwe++oFEdHUF\nxo3LR2RkCUJDP1Ot2t9ZSEQ5unaVRbhHR0PlyllIRASGtIft0+HoBXXe0W9oigdxMPs81NkAFZbD\niSfQpRLc6AZT68mi2VVhYABYiyxr8+mTLKV806YwapRss2EpL0e4hoiMTKJZs+scPfqeixedGDSo\nOJKfvMpJpbBhwwPKl9/N58+p3LjhT9u2pVSOGznyHGFhTzh3rikjRtijra3ZjaakpDF58iUcHbdR\ntWp+bt5si5eXpnWGNMP/BJFYW+fhyBF/hg93oHnzMHr0OM7796oXRRMTHRYsqMOOHR65Gj8ikQj0\n7l2OGzca8/jxZ2xs9hAaqqleVzwMDSVMm1aG8HAHtmx5Rc2aF7ly5cfPoV49Q65ft8LeXp+qVf9m\n7tz3pInY4BQuDEuXynInNWwoi05OEZmhxswYds2Clm5QvSMcilTzzf1GjvEqAZZfAa9tUH2tLLfZ\n1a5QS0UIQ3wCnFoF/vXFz3X+PDg4wJs3cOWKLJo9t5CaKmXmzMfUrHkRX998nD1bDTu7n+8u/Plz\nKhMmXMXX9yiBgbaEhDSkeHEjhf3T0qTMmXMNR8eduLgUJiqqOU5OBTSe//HjeJo2DaVfv5PMn+/C\n/PkuFCmieP7cxC9NJPr6WkycWJ0zZ5pz4MDfODpu49w5ce68jRqV5ObNAPT1tbGx2crOnbmTt9/G\nJg87d9anTZtS1Kt3kFGjLpOUpElZUPVQp04egoMrUbSoHnZ251iy5NkPaScMDAQWLbJk+HALAgNf\n06TJM54+FafD9fWFqChZqpSaNWUJ+MSisjVc2gTP34BzV3iiyFz1G/8aXidCu30wPBy2N4FZrqCv\nQDpZtQcaDYB5Q2FyX0RLAKmpMGECNGsG8+bJMgAb5qJX6/37STRocJnly59z9GhVJk0qjZ7ez1/y\nLl16h6Pjfk6ffkVUlC99+5b/lm5NDh4/jsfbO4QpUy6zZ48nQUF1MDHR3MXt4MHH2Nlt5tWrRK5c\naUOfPnZK588N/LJE4upalJs3A7C2zkvlyluYP/8aaSIy/hUsaMjWrZ7Mnl2HDh2O0L37CQVJGdWD\nlpbA8OF2hId7snv3Y+rWDeP2bXWrO6kPXV2BadPKsG2bHUuXPqNdu1u8evXj+3Fw0OfyZStMTCS0\navWcffs+i7q+nh4EBcmOpk1l+m918iJ1biyLbB+7GPpNVzOj7G/8dOy5C5VWQhETuNIValSS3+/i\nLXAMgOq2ELZAlrVZLCIjwd5eRiJRUbLz3MSqVS+oXPkcFSoYcfVqderUEX9zlSqp8UayIDVVytSp\nN6hTJ4yWLa04fdqbChWUezpu23YfG5ttGBhoc+tWa/z8Smo0N8jUXVOmXKJu3Z20bWvNqVPNqFAh\nr8bXU4VfkkjWrfNm+fIG9OhxnNatD4qugti5cwWuX2/DgwcfqVx5CxERmubs+R7W1qacPu2Nm1sh\nHB33s379g38lRsXOzpgLF5woW9aQypXPceDAjx4lEgmMHGlBaGgx/vzzLR06vBAdeFi+vExFUbAg\nVKkCZ8+Kvzd9PVg1Hoa2h7rdYOsh8WN/49/FuyRoswdGn4BdM2H6AFlgaXa8/QAef8CVGLi0Eaoq\n98f4Dp8+QceOMgnl4EEYNky8ZCMGsbFfaN78OqNG3Wf48BLMmFEGHR3l23RdXQkbN1Zn8+Ya5Mmj\nmYQQE/ORunXD2LDhARERXowZUwltbcXzxsWl0L37Cdq3P0bPnhXZvLkh5uaaB11GR8fh7LyTjRtj\niIhoxvjxTujq5v6y/0t6bc2Zc5ExYyJFu9aVLGnKlCl1KFMmD926Heb69awLrqZJFHUQBOjf34Yx\nY+wZPz6KJUvEpMXWdD7Tf84kEhg8uDSBgaUZOvQ269fLt7+UKGHAhg1OpKZChw4PePZMvOTVtWsl\npk7VY+TIFFatUkOMKGZKfgvYuhDu/Q1D/oIEMUXi/hB3+YJGMM8Vpp+Dq6+h0/Cl4u8tC9ac6a3R\nOA5rNgx3zYZ1rr1Eo3Frp/fSaFy+LbDoL7AqBu0GwF0FGt+mXrB0CgyfCmuCgafibYzFiwts2GBA\nWloi7ds/4PlzdTUCr5W+amGhy6pVlSlSRJ+2bS9z717mRvPHe9TX12L69Cr4+xejY8eznDjx6oc+\nYuNBihY1YuTIylSvXoCAgHBiYpS7CuvrazF5cnVatSpNjx4RhIZmptjWzCGnSBFjFi1qQNmyeene\n/QiRkdlTdv/22voOgwcfF00i3bvbceFCW06ffk6NGluykYjmsLIyITzch+bNrahRYx+LF2taW0E9\nlCxpQHh4LRo1Kki1aqcUkki7dkW5eNGZvXvjcHWNFk0iZmZabNtWhn79dHFxSVSPRADrUnB2D5y6\nCL1GiSQRkehsB9c7w8MPEP2/lxrtX8Hb99CqDwSthhPBYG8rv9+uMHBpAR1bwNQRqKWjf/JESv36\niRw58oFdu8pSr56p6kFq4N27L/j7X2TVqiecOVObTp0U53BJTk5jwIAoevQ4z8aNtZgxw17jHf2z\nZwn88Ucky5ff4dSpRvTubaO0f3JyGkOGRNK27VEWLnRmxYp6ObKdPH/+GX//fYwbF0lwcCPmzGmA\nsXHuZGv4JSUSWRyJcr/FQoWMWLnSnYIFDenQ4SC3bytaedSXEHr2rMhff1Vn6tRrzJt3M1sKaFXQ\nXCJp3rwQixfbMX36febOfSjXVmFqqs28eTY4OeUlIOAy167pi56hfHl9Vq0qxfnznxk50ki0R1Ym\natfWYscuI0bNyNilqgMlEkmpPLDcA8z0oGsYXM8Si5arEomgA9oWoJM/48gH2hmtTn5IS4CPpUCi\nBYKW4jbhNRiYw9cE+JIgay0TZOPTM9q0z7LzLy8g+RGkPEFeQOK/LZGw6NtpE0+Z1NG4G5y7LL+7\nmSnsXQmxj7/SoUMSX9QSLqJp0MCUTZtKM3nyCxYulCcNyINyiSQrbGxM2LKlKrdvx9Oz5xk+flS8\nMbKw0GP5cidKlzYhIOAMt259zHhFfQnB2tqMjRvr8uZNEl26hPPqlfJrGBvrMHt2LdzcitK580Ei\nInLm5Zknjx6BgQ60bl2eLl0OcuLEE34HJGaBGCJp3boc8+bVY8mS60yefJ7UVGU2AfELu4WFPmvW\n1Ofjxy9MnnydO3c0MaarTyT6+losWFCTypXN6NLlKjdvyo9uLV/emD17qhEc/JwpU+6TnJwOiHM3\n9PQ0Y9260gQGPmHdureoCkjMjhYttFm4UJ92gyQcOaXWUBnkEImWAAOrwYjqMO08zLv4YwVFTYhE\ngsCqq0vBtI7sEPTArB5IjCD1HXx9A6lvZe3XN/A18zwWrgkgTcuIXFfSaumBrhHoGMnaSkYgMQYt\nI9khyWi184NhedApACmPIekeJN+TtUn3GGbbiXd8RqpmjcTcIBIAz3qwfi607AMnFNjI9PRg49Sv\nWFgI+Psn8km0lksWkGhlpceePdZcuvSZPn0ekZKi6r2KJxIAfX0JM2ZUxNc3PwEBkURGKo+K79Sp\nFDNm2DN58k2CgmKQSjVTNWlrpzFunAPdulWgV6+T7Nv3SOUYL6/irFhRl+3b7zJy5GmSk3OS7TQV\nb+9SLFvmwc6dMQwcWO03kWRCGZFYWOizeLErtrb56NDhIFFRYnY44hZ2F5dCbNzYkC1b7jFmzAW+\nftU0mZp6RGJlZcyOHc7cvZtEt27XSEiQ70rcpIklS5dWIjDwNuvWZd3NqCaSQYMsGTq0EC1a3CMy\nMtObSzyRDBmiy4ABujRqlMj1OA39+bMRSeUCsNITPqZAj0MydZY8iCESPbQpRUHKYklZLClFAQwT\nH8Cn07Ij/hJ8fQlpIjYGP8tGItEHvVJgUBb0y2S0ZXmXpxoG6NKXtWqRiSoisTKD5uVgZvbA0EU/\n9q1bA4IXQ8fBcPCEgtt//on58/VxdtbCyyuRly/F3Ou3yHYjIwlr1pSiWDE9mja9y8uXylSqPxKJ\nlpbAtGkVmDnzPq9fyxeLGjUyYcWK6syde4dZs6KVahJKlTJm9eoaPHr0mcGDI3n/XpOS3rL3UKuW\nJRs2uHL06DMGDz6jssyvubmUhQsbYGeXj/btD3L1qnrE+Q2yefLm1ScoyJX27W1/20hUwcfHiuvX\nO/D0aTwODptEkohqSCQC48Y5snWrG927n2D48HN8/ZrzdOti4O1dmLNn3Vm79iFt2lyWSyISCUye\nXJ65c23w9j6fjUSUQ1dXYNUqKzp0yEfNmreykIg4SCSwYIE+HTroULNmAtev587n0qYCLGwIi69A\nw22KSUQZDNClATaMoynz6Yg/juiizVFuEshmuGIDD3rCmw2QHC2ORH4m0pMh6Ta83wsvZsODXnDL\nlaFsYgDr1JZIVCH+C7StCLMbqO4bcQ78usLa2TJ1l9zbT4d+/ZLZtu0rZ84YYW2t3tKTkJBOy5b3\n2b8/jgsXbKleXb0NSXq6lM+fU7lwwRl7e/luuAcOPKdq1TDs7PKwf39dzMwU2yMePvxMw4bHeP06\nhagofxwd86l1P1kRGRlLlSrB6OhIOHrUj6pVlV/r/ftk2rYNZcyYMxw61JRBg6rmKE4kLi6Z9u1D\nNL8AmieS+q+Bvr42c+bUpVAhI1q3DuHUqdxx6QUoXNiITZtcSUuT4uCwg5cvc9FyrAQSicCff9rR\nqVMpmjQ5ydmzb8nqtZWJvHl12Ly5Knp6EhwdT/H2rXgFdf782uzaZc3r11+pU+c2CQnqkYCODsya\npUeZMhKcnRPUUGcoR1Nr2eLmulUzg7oWEupRAV8cuM4TNhPJI96QKsf+8N+CVHJ/4/I2CRpshYMt\nYJEb9D2CUqo6fwU82kPYejA0gE275febOvULL19KiYgwxN8/ifPn1fvcp0x5wbVriezbZ82IEU9Z\ns0ZcckapFCZMuMvNm/EcOlSdvn1vEhz84od+L18m0bnzWWbNqsqFC574+0cQHS3/x5uaKiUw8Arn\nzr0gNNSD0aMvsWJFjFrvJxPx8V8zqiJacfBgI8aNu8jSpbeUjtm79wHXrr1hyxYfXF2L06nTId6+\n/fkpluThl5ZIbGwsuHixLWZmenTseDBXScTbuzhRUc05cuQZ7u4H/jUSyZdPj4MH61O7dn4cHMIy\nSORH2NmZcPGiM7duxePmdk4tErGzM+DCBVvCwz/RvPk9tUlEWxu2bjWgZEkJfn7q6MSVw6sULHYH\nr+2akYg9JZlES6pQklkcYDUnuE/sfzWJ/EzEJcskvkoFYJU3qKo0e+02NGgNLRtBSyUpT9au/UqX\nLsns3WtAvXrqq4BDQj7g4nIbb28z/vpLvRK0O3e+xM3tHNOnV2DSpHJyd/KpqVIGDoxiypRbRES4\n0bix8jl27XpEnToHGDDAljVrXNDX17xGyO7df1O79m5697Zh40ZXjIyU7/UfPfqEs/M2rl9/y5Ur\n7ahXL5eqiKmJX5ZIevWqRHh4C2bOvERAQCifPuU8Oh1AW1vCpEnVWLLEhebNDzFlymU1vbI0BTf7\nSAAAIABJREFUh719Xi5c8OTSpfe4ux/nzRv5etnGjQty7FhNxo6NYejQ26Ii+jNRv74pU6cWY+TI\np4wb90xtl2VtbdiyxQAdHWjRIomvuRSp3qAErPUGv51wTU2VsBX5GY4fTXFiM2eYTQjPeJ87N/Zf\nCAuMVZJCJuK/gGcwFDeBDY1QWS/9zn0YPQOC/oT6tRT3CwtLpXHjJIKDDXB1VX/hjYlJpnfvR7i7\nm7F0aUm1ghevXfuEk9MpXFws2LWrGsbG8udft+4h3t7hBAU58uefytOM3L37kerV96KrK+HsWT9K\nldK8guK9ex+pUWMXKSlpXLzYnIoVlUekp6amM2rUabp0OcymTV5MnFgLLa1/p758Jn5JY/uuXTGU\nKGFG69Yh3LuXU932N+N3wYIGbN/uwZ07cQwffo64OGUGNk39veUb25s0KcayZU507nyOkBB5kpVM\ntRUYWJouXYrTqlUU166JEQW+Gdv9/PKyYoUVLVrc4+RJVXUNfjS2a2vD5s0GGBpC06YKXD2LqR8T\nUMsR9myE5nvg5FPx44qbwtbe9yhPYfZwkdPEkC7SliAuIFECeiVkXlUG5cCgPDwDzMuARDvj0Mly\nnuV4cwtMCsOn5xD/HAo8hy8ZR0pGm/ZR5R1o4v7bE1f+vl2WDiGg1GExC/S1Yac/JN+F1n1RuUHI\nNMC7t5NJKooCEp2dtdi504CmTZM4fTq7ZKg6jbyxsYTdu635+DGNgID7GR5d4nYaOjoCCxbYUbt2\nXvz8LvL33/Lz8BUooM+OHc7ExX2hXbszxMdnN4Z/r07q27ciY8fa07XrKQ4cyB70lxWqd1mdOpVj\nxoyaDB4cycaNmcXuFKuvChQwZP16T4yMdGjbNpSnT5X9j7O/j9/uv/9AEATprFkXGDUqki8qq/SI\ngWxhr1GjIMHB7qxaFc3EiZdE7NRzj0iGDatIv37WNG4cwZUrcXJHSSSmzJ9vi4uLBd7e53n+XGwd\nBhmRBARYMGtWcRo1uktUlJiUMt8TiZYWbNpkgImJjEQUxpioSSQOlSB0LbQ/Dof/Fj/OuSgMrwGp\npS8RxlVSRBSzyorviUQChjZgZCcjC4MM4tAvI3P7TYqBpDuyI/KhrFBVeqryA6msQqJpEdlRqQjo\nFQHdLIegBfHnZW6/7/fCh8OyioxZoAmRaKNF4/vdSZNCq70gqnQFoKsF2+xk+dDaDVBNJs19YO44\nqNMMHp9VvKlxddVi82YDfH2TuHAh682Iq0eiqyuwcWNpLCy08fe/R3y8elk/e/cuQYsWhRkz5rJC\n118dHQnz5jnQoEFBfH1PcP9+VseTHxf2mjUL8OefVYmIiGXKlKsKZhYnrtvamrNjhwcRES8YMOA0\nycnKnV4EAYYOdaR5c2smTjxLSIiiP85vIlEIsQGJ4mFAz54VmTjRiS5dwgkJEVvSMudEoq0tsGSJ\nE46O5jRqpLhWib6+Fps318XUVJumTS/x6ZM6i2YB+vQpyIgRhfDwiCE6Wqyx7huRaGnBhg0G5M0r\nixNQGqioBpHYWMPRzdBzJOyzFj0M+4IyI3HrfVCiTQ4CEnXyQ4EuYNkTEq5leE7dyUIcd2Ulb7Mi\nN91/tYxBtziY1QcLfzB2go/H4f0eeH8AUt9pHJC4aWYvNvpCHj1oshsSRaogtZfBqhkQ+xaGT1Hd\nv28n6NsRaleP5907xWuNt7c2q1fr4+mZyNWrmWKS+MJWEgksXFgSJydjvLxO8+aNeqpsd/f8bNxY\nhS5dznHggGJbaseOpZg0qRJt2pzhzJlM0pH/n7G0NGDvXjdiYj7SrdspvnzJLv6J1/uamOiwYkU9\n0tOljBhxQk5J8B9Ro0YhgoMbsXbtLf7886wcFXzuEckvayPJDejpabFyZT369rWjdu3dapBIzpEn\njy4HDzagYEF96tQ5opBELCz0OHbMlYSENLy8zqtJIjByZGEGDbLExSVaDRL5Bi0tWL/eAHNzESSi\nBkyMYdk0GDwR9h0RP66cOYQ0l8WWhCvTKihBWSzBeiNUjZHFa8S0gDtN4G4beDoB3m6FhKs/kkhu\nI+2zzOU3dhHccoOokvBuB+RtBA4PwDYcN+zIh/r6+K/p0HYfvPgsI11TkZkyUlNh8CRo2xjcnFX3\nX7gWdh2EAwcMlKaIDw1NpXfvZMLCDLGxUX9ZSk+HPn0eERISx+nTtSlRQr14rMOH3+Djc4Lly6vT\nqZPiolTr1j2kW7fz7NrlQrNmyg3bsbFJ1KsXgr6+FseOeZMvn/gsEtkRH/+V1q2PcO7cK86da4Oz\ncxGVY86de4mj4yacnYsQGtoEc3PN51eF30SiAMWKmXDqVCuMjXWoUWMn9++r1lfnFqysjImMdOfm\nzQ/4+59UGKCU2S8i4jUdOlzh61f1pMvp0yvQpo0Fzs63efRIMwaYM0ePpCRprpIIyFQi0fdgixql\na4uZwKGWMDIC9qpZ8l4fHepjwyRa0Jl6EH8RLpWC+93gc5R6F/tZSI2DN5tkxHbREp7PoijmBOKL\ntgZ/5TQpdAmVpZQ52hrErjPv4qDDIFgzG/KLqPA8ajrExKSzbZsBWkrs6rt3pzJoUDKHDhmqHWeS\nifHjn7Ngwd/s3OmItbV6RZ0uXnxHvXpHGD/ejuHDKyrsd/jwSzw8jjNvniMDBpRTes2kpDRatTrO\niRMvOXfOjwoVNEtLn4mgoBt06HCQ7dsb0bOngpz+WfD6dSING+7g2rU3REUF4OBQMEfzK8J/hEgE\nQWghCMItQRDSBEGomuX5koIgJAmCcCXjWJzlNQdBEG4IgnBPEIT5P/P+atcuzPnzbdi2LYbWrY+o\njDTNTVSvno8zZ9xZtOguAwdGKfQIc3Aw5/RpN+bNu8OoUVfV8q4SBJgxowIuLhbUrXub2FjNXKuG\nDNGlXj1tBg1KJlmJSUaVp092+LnJPH4GTRQ/Jr8hHG4Fcy/Bupvix2kjwYsqzCSAChRmM2cYxVZ4\nOf8/H4SoDOnJEBfCGiIIZLPGsSRSZDEixx/Dibay7MliEB4J63bIghDFBMN165bMmzdSJk1SnhJ9\n69ZURo9OYe5cPYoW1Syh4MKFj5g37yHHjtWkTBn1yOTu3Xhq1z5MQIAVc+YoDvS7ejWO2rUP06NH\nWWbPrq70M5BKYezYKCZMuMyJEz64uamWJpTh6NEn1K69jf797Vm82BUdHeXLeFqalOHDTzFkyEnC\nwprQtauCTJs5wH9KIrkBNAFOynntvlQqtc84+mR5fgnQVSqVlgXKCoKgIIY2Z+jWzY7Nm70JCAhj\n9ux/dyfq7V2MtWtr0rXrWRYtuquwn4tLASZPrkzv3hdZskTNrTewaJEd5csb4+Z2lrg4zRwSmjfX\nZsAAXXx8EolXoq6VFSsyokIFcT+1/BawdKos3cZncWVkMNWVqWeC78D8S+LGAOigRT88KUE+xrKd\nxRwhmh+D1P4XMCICtt+BIFfxY8bPAfM80L+L6r6pqTBkSDKtW+vQpInyncW6dV85cSKNffusMTLS\nbInauPE548fHcOxYTays1Cu7+OJFEi4uR3B0tGDDhloKF+onTxKoXfswDg752Lq1AXp6yt2YN2y4\nT7NmR1m/vi69eqmXqy47Hjz4QI0aWyhSxJgjR5qTL59qVd6uXfdwdt7G4MEOrFjhpvJ+1cF/hEik\nUukdqVSqeKXMBkEQCgEmUqk0M/PPesA/N+9JIhGYNcuFYcMccXXdQXi4Gn6muYA2bUqzerULnTpF\nEham2OvEzc2S7dudmT79Nvv2qZ8BdPbsijg4mBEQcIXPnzUjkZo1jVm8WB9f30SePVMuCi1apE9U\nVBrR0eJ2zMunwfqdcDp7jicF0BJgXzOIfA7jT4sbA7L8WoPwJoEUlnOMD4hkrV8YU86CtTm0ErnG\npaZC2/4wuq/idPJZERcHLVsmsnSpPqVLKxdjZs78wuXLCWzaVEbjAlerVz9lypR7HD9eU22byYcP\nX3B3P46xsTa7d7tgaCh/0f3w4QseHgeRSuHIES/y5lUucZ0+/Yratffzxx8VGTMmZ6lN4uO/4O+/\nl9Onn3PxYlsqV86vckxMTBxOTpsxMdFl+XIPihTJnVr2Kr8iQRCOC4Lgk+255bkyu3xYZai1TgiC\nUCfjuSLIPPQz8TzjuVyBkZEOu3f7YW9fgBo1tnD//r+r0ujduwIzZjjh6hrK+fOKQ7Z9fIqwcWNt\nmjY9SXi4+rnCJk4sR4MG+fD0PC/HF14cSpfWY+fOsnTokMy1a8rJoUMHHZyctOjbV5wrcqcWsoJJ\n42aLv5+hTnDnPfQ/Kn6MAboMxoc3fGIFx0XHlvzqSJPCH0dgVn0QW6bi7ycw4E/YsgCMRGz8L11K\nZ+LEFLZvN0RPReG/3r0fYWamxbRpmkdrL1v2mNmzH3D8eE2KFlXP2JycnEazZqe4efMDoaH1FUaZ\np6Sk0abNcc6de82qVc4UKqT8g3j4MB5n5/24uxdnwwbVqillkEphzJgzDB9+igMH/PH1tVI5JiHh\nK61bh3Dz5lvOn29P9eqFNJ4/E2LegRUwXBCE8Vmeq6ZqkCAIRzJsGtkPJckTeAEUk0ql9sBgYLMg\nCBqEiB4BDmUc95X2LFrUmNOnW/HqVSKenruIixMbfyEfLi6FkIgNGwZGj67CkCF2uLgc4NYt+TEi\nIAtIXLWqOo0ancjidigeI0aUoVmzQri7nyMuTjObiLm5NqGh5Rg//hkHDyonovLlJcyapUfLlkkk\ninBuKlEUZoyC9gMRXbPCVBeGOMHci8rzQGWFEXoMpRHPeM9aInI92aFSaOuqV+HpP4DI53D0EYxT\nEpWeHVv2wuGTMKibuP6LFn3l7t105s9XvrB//SqlWbN7NG6cl65dVe+2FWHhwkcsXPiI48drUriw\nemSSliZl5Mir3L0bT1hYfYyN5ZOJVAqBgRe4cOENJ0/6ULy48p2+TOLZj4mJLvv2ealMhaIKwcF3\n8fXdw+LFDRk0qKrqAcDMmVuoX78rzs7R2NkpinURB5VxJIIgXEFGHEFAMaA9EJ6x2OdsckEIB4ZI\npVK5ZXEyXwdeAselUmmFjOfbAHWlUukPubDViSOpVs2S3bv9mDMnijlzFNlDxMeD9O5tx8iRDtSu\nvYOnT5UTkiDArFm1aNiwKB4eB4iNzVxtfxTBW7e2Ys6canh7H+XqVUWpPRTHZ/TvX5p+/Urj4nKS\nly+z35e4uA49PQlHjthz5sxHRo68jzKB0MBA4Pz5ksyb957Vq7N7u5WRO2b1agnR0TBzpgIpp8KP\n38O4PlC6GHQcqeTGs1jS8hnBkV5w7B4MVeUNdkPF63JgYgiNHcCmJJQqAhZmYGGa0ZrBk1dgVQie\nv5GdZz3OP4TrCsrWKoWd6i5aEtjQFroFQ2ImSR9U3L+ABdzcC3U7QvSDbC9Gy9+E5M8Pt29r4+SU\nyt9y49++39CZmEi4eLEkkya9ZdMmRcGKsniOsmUNOXXKgTZtbhIerniz9Q3yrxcYaE3nziWoV+8k\nr17JczFUHDQpCLBkSU1sbfPg5XWU+Pisn8P3bvP9+tkxZEhlGjbcr8LbMxUtLYHlyxtgY2OOj89+\n3r0Ts5FVvBEsVsyEkJAmREQ8Y+DAcBXpkWSbwYoVLdi7tylly5r/vIBEQRCuZJKGIAidkC3seaVS\nqXrZ0uRfOxwYKpVKozIe5wPipFJpmiAIpZAZ422lUukHQRDOA/2BC0AIECSVSn/4O4glkmbNyrJ4\nsSvduh1m/35l/2BxRDJqlCOdO1fAzW0vjx59Ujq/lpbAihX1KFcuDz4+IXz4kHUL/j2RdOxYhilT\nquLufphbt5Sp3OQTQvfuJRk1qhx1657kyRN5cSLiiCQoyBqJRKBfv5gMDzHFRLJsmSVGRhLatZNn\nuP6RSDw8BObM0aJSpVTSFJltshFJXjO4Gwo12sADZfEiWYhkZSt4HQ+jQpX0z4RIItHXBZ/q0Loe\nuDlAxGU4dB7efoR3H+Hdp4z2IyQmy/oXLQDFC0Jxy4y2IJQqBnlNYN4u2BIuix4XBRFEArCrMxy9\nC4vPZDyhhEgA+gZAE1dwzW5IV0AkAGPGSKhYUaBtW3lf4o+aATs7PY4dK07duo+JjpYnhn4LDKxX\nLy9bt9ri4hLF3buqRFzFhDB6dDlsbU3p3fsqHz5kfy/KUwoJAixaVIPKlc3x9DyShUx+/F917VqB\nCRMccXc/wO3bisjvm1Q/dWotGje2wsNjL0+fqirXoPzHYWqqy44dviQnp9KmTSgJCYr6f5vf3Fyf\n9+8H/FQi6SmVSpdleewA/CGVSkX4aii8ZhNkEk4+4CNwRSqVegmC0AyYgOyTSgfGSaXSkCzzrkW2\n0oZKpdL+Cq6tkkgGD3bA1bU4o0ad5to1VWoi1UQyc2Zt3N2L4+GxN4tkIX9+bW0JM2fWoHz5vDRr\ndkhObflvRNKuXSmmTHHAze0wMTGq4lh+JAR//0LMnVuJhg1P8+CBImOyaiLp2LEQw4eXpFq1C1lq\nnsgnktatTfnzz3w4Oj7i82d50sWPRHLhghYzZqSzY4eS32I2IpnUHyzzQfdxKm4+g0is80N4Hyg6\nEXGu0tmIJH8ecLYFV3sokg/aToVhLWBAE7h0F7aegF2n4YOGZW4EY3B3gEHNoJIVLDkASw/AG1Xm\nOpFEUrOkTCqxngrpUlQSiZYWRG2HKcshOGtfJURiaAj37mnj55dGVFT2D1m+irlzZzMaNzahVavn\ncioffh9h3qVLYdq0KUjz5jf4+FGZalU5IcyZY4e9fR48PM5kizYXl6Z64cLqVK1qgafnET59+oqi\nyPY2bcoye3ZNfHxCuXJFXpbu79/DwIFVGDSoCl5e+7h9W1lSUdW7DG1tCcuWNaRy5fw0arSH2Fh5\n///fKVIUQhmRCALMnOmCp2dJPD138eyZmEJNiolEIhFYtqz+P2Lp90kcf5xfW1vCli0N0dXVokWL\nQ3JSJkAmkbRvX5rx4yvj4XGYBw/E3Of3hODiko/t251o0OAUt24pS6egnEhsbIwID3egfv0obt3K\n+mP8kUiKFtVm2bJCjBr1mmvXFEUnfk8kfn4CEydqYW+fqnyBz0IkFnkgJhSqNocnGUJPpXJQtgTs\nzJ6iJINIRrpCYTPot0vJHFmRhUhCJ0MDe0j+AqaG8PgVRN2DhBQIXA6vsm44NXX+yhLuULGEjKCK\n5od+C+GhstRRIokE4Ew/mBMBO6+jkkgAaleFyQPArVuWvFpKiASgRw8JLVsKNGyYXSpRbKvcsaMI\nt26lMH589sX2x1QlQUHWFCyoR6tWykRG1ZJFcHB1vnxJp127i1l+d+LrHQQFVcfJKR8eHkf4+FHx\nJs/f34ply+ri7x/G2bPZdxk/kmFAQDlmz66Dn99+LlxQlHxSvI1z9OjqdOtmi4/PHm7fzu7I8ztF\nitrQ1dVi40ZvnJwscXYOFkkiyq4nYds2T4oXN8HNba+KTMAyEtm8uSH6+spIRAZ//+JMn+6Ar+8x\nkSTyPaytjQkOdqJt24sqSEQ5jIy02L69EkOH3stGIvIRFGTJuXNJSkjkewgCTJyoxbhxaWoFVAZ2\nhW1h30gEwKcu1KiseEzzyrDjmvg5smL9UUhNAzMj2T1/SICCeaH7nGwkkku4/Rh6zoNTN2CemCTE\nIjHzBAyrL77/mctgZAA1VAdQ/4NVq9IpUkTAw0P8etS//yt6985LhQqqXcWGDbtPuXKGdOtWWPxN\nZYNUCu3bX6RECUOmTLHR6Br9+5/n7Nk3LF1aAxMTxZvNPXv+pkOHY+zd60WdOpYqr7tpUwwdOx5h\nyxZPnJ01f4+ZmDz5PGPGRBIe3gIXlxxbIxTif4JITEx0CQnxx8BAG3f3nHtmGRpqs29fIwQBfH33\nK9FByqClJbBxoyuGhto0a6acRNzcCrNsWU18fI4SHa1+Wpb8+fUIDa3FiBG3OHZMfe+urFi2rDxn\nz35k/XrV2VR9fY2pWFGX6dPFV5xq1kzgyxcp+/aJZxFTE2jSUKZyyYqqFeDybfljrMyhiBmc0sSY\nDWwNl9kuEpJkUklhC2g6QQ07hoaYsxOsi8psMLmBfTfBWA9sVa9n/+BwJLjXFt8/LQ1Gjkxj+nQt\n0fEfL16kMmHCW5YtK6TSqS0lJZ1WrW4wZUoZKlZUL2o9K5KT0/HzO0uTJoXp00dxbi1lGDToAm/f\nJrNnj5fS4L5Dh57SrNkhtm51o04d1a62hw49oVu34+zY4UX9+jlf/DdtiqZFi/2sWeNO8+Zlc3w9\nefjliaRgQUMiIlpy794HmjffT3JyztKdGBnpsHOnN7duvadVq4NKSQFkJLJhgyumproqSaRWLUs2\nbXKhadNwrlxRv/CSvr6EvXtrsGXLM9auzVmCye7di1Cpkgl9+95R2dfQUCAoqCC9e8fy5Ys4UpBI\nYMIELcaOVS+1h0dtuPMQnmfTEjjYQJSCyqTNKsPuGxm2AQ0xZg1EXJcZyztMF2G7yAV8+Qr9FsH8\nPrJ5c4p0KVx4DE4lxI85fAbc1XAFBtizR0pCgpSAAPFSyZIlcejoCHTtqjoXVUxMIsOG3SM42A4D\nA82XsPfvv+DldYbRo8vh66tZLMWAARd5/TqRLVsaKi0mderUSzp1CmfnTg+qVSugsF8mwsOf0bx5\nGFu3euDmlvOqhydPPqdp0/3Mm1efHj3U0IeKxC9NJGXL5iEysjU7d96jT59jOa5kaGSkQ2ioL8+f\nf2bo0NMqKw9KJALr1jXA3FyPJk0OkqKk8IO9fT527fIgIOAkZ86oWQIQmcplw4Zq/P13ImPHKtia\ni0TlysZMnlyaFi2uk5SkeqEfPz4/p04lER4uPhtumzYC799LOXRIve+ktj2czuYsntdMZje5p4A7\nm1fSXK2VFS3+ki3u19Woi5JTHImCZSEy1+LcQFIqqJMZ4+xVKF8KzM3Um2f48HRatJCIlkrS06FH\nj5dMnpyfggVV3+C6dS+5ciWeefPUqC8gB3//nUjjxudYudIeJ6d8ao9PT5fSocNxDA21Wb68rtK+\nR48+o0uXcPbv96JKFdVznTr1giZNQtm40R0vLzXYXwGuXXuDi8s2AgOrMXKkU46vlxW/LJFUrVqA\nZcsaMnnyBSZPPp/j6xkZ6RAS4su9ex/o3v24Sp2+RCKwdm19ChQwwN9fOYmUL5+HkBBvevU6yZEj\nmuV6mjbNloIF9ejcOWf5wYyMtJg+vSwDBsQQE6OaGGxt9ejUyYyhQ8W7KwkCtG0rUVsaARmRnLny\n/XNVK8LVO/K9sQRBFqwYkT0eQgMkJkPYRZn31r+JD59l8Si5geSvoK9GqZwvX+HkJXCtqd48p09L\nKVQIPD3FSyU3bqSwevUH5s4Vl6G2d+87NGhgTsuWOctoe+lSHF26XGb8+CoUL66+uuzr13SaNj1E\nhQp5mT69htK+ISGP6dPnFKGh3lSsaK7y2pGRL/HzO8CaNQ1p1Kik2veWHQ8ffqROnW20bl2O2bPr\n51p87C9JJLVrFyEsrCnz5l1m9Wo1UsEqQCaJPHjwURSJAAQF1UYqhcaND5KcrJhEihUzYts2NwID\nz7Fnj2Zb3bZtrWjcuBD+/udUqtpUYfr0Mrx4kcKWLaqJQRBg6VJLxo59w+vX4vN2ubsLFCgAJ06o\nJ40YGkCFUj+qsKpWUKzWkkplNgF1Fk9l2BsJXtXQOP+TuvBwhD87wKdcSgWWnCorm6sODmmg3gJY\nuDCdP/5Q74OaOPEtTk4GeHioXtA/f06jdesbLFxYDisr9XJpZUdISCxHj75g9+4G6Ourn8wwMTEV\nH59QvL1LEBhYRWnfXbseMmTIWQ4dakyZMqpFvfPnX+Hjs5+VK13x99fMnpMVsbEJ1K0bTPXqhViz\nxhtt7Zz/mH9JItm1y5+AgFD27dPQupoFhoba/5BIt27HRJHI1Km1cHQsQJ8+J0lKUmyTMTPTJSys\nEcuW3c5Sj1k91KiRn7lznWjUKJL379WrCpcd9evnxc8vP4MGibuXrl3zIJHAihXqGQx69pSwbJn6\nhOdkB9fvQnI2pzAHG8WGdoC4RMibs3XmH2w9IYsj2TwSdHKrCKcCWFnCukBo9Re8EO/DoBTJqeqT\n6uEz6hncM7Ftm5Rq1QRKlxY/JilJSp8+L+nRIw+6uqq3y1FR8Ywd+4AFC6xzvLueO/c20dEfWL5c\nA9YE4uJS8PA4QK9eNnTrpjzz5ZYt9xg37hxHj/pTsqRqcTMq6jWennuZP98FHx/V+bRU4cOHFNzd\nt5M/vwE7d/qjr+7uIht+SSJp2nQPR49qWB4vCwwNtQkN9VOLRIYMsadxYyt8fEKV1jHR0ZGwa5cn\nR448Y/FiBdtpFShY0IDg4Hp06XKG+/dztmU1NtZi1aqK9OgRrSLYSwZTUwkBAab07h2rlutu4cJQ\nt67Ali3q26vkqbVA5qJ6RUlV1rgkyJtbNoYU8B0LBnqwcxzo5ZKkkxWCAC3rylx/J26E0zkXqv9B\n8lf1JZK7j2SSXXk1N8PJybB6dTq9e6u3zBw+nIienoRevcR5LC1f/pw8eXTo3TvnHk7du0dia5uH\nAQMUF7ZShhcvEnB3P0D//nZ4exdX2nfNmmhmzLjMzp1eFCqkWgK7evUtvr77WbXKHW/vnJNJYuJX\nGjfezcePKSxe7Jaja/2SRHLmjOKay2JhYKDN7t3qkUjHjuXp168S7u57VebMWbmyHh8/pjBkSKRG\n96etLRAcXJfVq+8REqJ+OvnsmDGjLMePv+fgQXFb32HDLHj48KvomJFMdO0qYdu2dBI04L1a9hAp\nh0hsy8JnJeacuKTck0gAUr5CswmQkAwhk6GQiCqBYtG4FlxdCoObwYK9sFiNCpFiIJXCSw1Ciw6e\nhkoa2LWXLk2nY0cJBgbqiQsjRrxm1KiSmJqqVjNJpdC1620mTChFiRI5KyeblJRGkybhjBhhR716\navhJZ8H9+x/p3Pk4a9c2oGpV5Ub1xYtvsGlTDAcP+mFmpto17/r1dzRuvI81azyoXz8janbQAAAg\nAElEQVTn3lypqel07BjC1685U4n/kkSSU8ikBT9u3HgrmkT8/KyYNq0WHh77VAY7/vlnNcqVy0NA\ngOaeZDNmOPL5cyoTJuQsayeAq6s5Pj75GDxYnErL0lKX3r3zMH68enEqEgl066aZWksQoGZl+RJJ\nyhfQV5KSPC4x9ySSTKSmQcA02HcWbq2ADcPBMQcORJ7V4MJCGN8eRq2GGv3hqNxUpjlD9RIQKz6A\n+x/EfZTlA1MXjx5BZKSUtm3Vc/u6eTOF0NB3BAaWFNU/JiaRWbMes3x5zgpGATx+/JmAgJNs2VJX\nI+M7QFTUW3r0iGDvXi+KFlV+jTlzrnLixHP27PERVWzq/PmXtGx5gG3bfKhZM+cp4KVS6NXrUI6u\n8ZtIskEiEdi0yZukpFSGDz8likRcXAqzcqUrvr4HiIlRHurcqVM52rUri69vmFL7iTK0bm2Fn18x\n2rU7qZZaSR5MTLRYubIC3bvf5tMncQbzceNKsWbNR549U+/+vbyMefFCyjUNXHGLF4YzV+G1HIEp\n5QvoKdnMxSVBnpxtVOUiPR2CdkOpDnD1AewYB6eXQosGKK1NnhX1HWRjZvWA6dvAoQ+E5NzJUCGq\nFoXLGgiwT2OhuIZr1qJF6fzxR161x40b94BevYpQuLCKwiUZmDXrCRYWOnTunHNX2ePHXzJjxg2N\nje8gi2qfP/8G+/d7Y2ysXAc6aNApXr9OYsMGN1FlKCIintGhw0H27GmMvb3quBRVyOk68j+Va0sM\nVq50p3hxExo12sOXL2moStpYpUo+Dh1qTJs2hzh+POs/9Mf5XV2LsGlTQ+rW3UtMjCIDtXIdjK1t\nHo4f96Rhw0Ncv56VtDTzD1261AmJRKBHDyVGhiwoW9aQyEhHypV7xPv36lVY3LevKLt2GbB2rfq/\nOZf2Ovw1AFza//ja+a3QbwpcuC5noCcMqQdp6TBPXmFnRdAgjbyWRJZGfkBLmcRiaigLApRmHNnP\n33yASqXhz1Ww9ayMmNSGGrFleQzgyVgwGw3SMPWmaVQPerWCRvXUD+cXBAgLS2H06DdERamTVeI5\nU/+PvfOOiupa3//n0EG6igiCIBasYMWOV8UWDWrsxoLGEk3s8dqNiYq9xl6isV6NPfbEgh0VrKAC\nggUVVHqTNr8/Ru6XS6bsM4Np/p61Zi2d2fucw8w5+91ve57AipQsaSx8f9aqZcnp0954e59RIZmg\nDb931bZvb8br1+8YO1aTZKdq0sYCrF/vS9myFvj7nygSgfjfjZipqSHHj3/KvXtvGTVK0836f79B\nly4VWb26Fa1a/ayCS0sbio9r6wPXnfy9sHixL9Wq2ePnt++9EdEMV1crlixpxpdfnitiRH4PT09b\ntm9vTffupzQYEc2wsTFh//6WjB0bXMSI6AZf31I4OprQr594sn/OHA8WL34q24g4OxvRuLE5PXvq\ntnEp5wjPX6n+7F2O5qT3k0ToV1emIdEBefmw/5zy5VwaypYCCWVIT5KK/FuC5DS4H62kFUF3tg9h\n1HaGWy90230+fam7R6JQQFBQBgMH2sg0JDBvXgyPHjVm6dKnhIdrT6zduZPG2rXRrFnjTefOV3W7\n4EIYMuQyFy+2Z+DAimzZolkkTx1GjLjA8eOfsHhxY8aOvaR23Lt3eXTufJSgoM/497/rMn++9p6w\nAwcisbAw5uTJrrRosZeoqD9W3bUA/z+09R7TpvnQurUrHToc0MqdBUrO/6NHO3H4cDT792vudrO3\nN+WXXzowevRFLlzQzlulDmvXNmL79ih27NC/rNnYWGLNGm9+/PElqaliRqF+fWsaN7Zh+XL5FXH9\n+tmweXMSmZo3b2rh7ACxahr+tYW2LkVDYzfdzqsrYl/DjXC4Hg7X7sPVe3DlHly6Axdvw4VbcCcS\n9forHwC6hrVAP0MCsGtXCj16WGMkc+uanJzLvHkxBAaqFkRThTlzHuLhUYIuXfQnPczMzKNfv4ss\nWFAPT0+Z7f3vkZubT7duJ2nb1oURIzSTRKakZNO+/WGGD69B//6eQsffsSOc7767ypIlvjg5FY8G\nu1z8f48E+Oorb/r3r0azZv8hKUl7FZKRkQF797bn/PlYli3TnOw2NJT4z3/asH9/NHv2iLRXq847\nfPFFFTw9rRk48BygavWRt0KPHVuNqKhUDh0Sb/meN68Ws2aFkZmZhNw9SM+eLowZEwnoRiTpbFyB\nmDsKUCGAlPXWHLP4HAhX8d2FW/MSSB0AVY7Bw4c6nV4GdGVy1LGOWIZWfZ16cHIf8BPIoUwHUP7i\nVlhbPyYlRX4MLjo6jqio0rRuncOJE6I8csprXLUqjJYtfWjQwJDgYO2eeHZ2JoMHX2H//ub8+usT\nUlNFc3mqx4WFvWHKlOvs3t0cH5/DGlkq1CE5OZtPPjnKuXP+hIcncvasegaLly/TadfuMGfPduHZ\ns1TOntVehbphw13s7Mw4frwLzZvvITlZXjWlvvjoPZJu3SrzzTf18PPbR1ycGFfUqlW+5ObmM3q0\n9ljJwoWNyMvLZ9Ik3d1sT09b5s6tR+/eZ3W6iYvCxcWCb76pyqhRN4Tn+PqWIiEhh82b5ZNBVq5s\njoODMRcu6O52lytnwPPnqhewd+/AVEs+9tIlaKJDU90/CXXqQIgelWBPn+bj4qJ748zOnfH06SM/\nMZydnc+RI6+YMUO8Iis4+C0nT75kxoziISjcuPEhDx8ms2iR7hxV0dGp9Op1mt272+DhoTmn+fBh\nIl27HmX37nZCVCoACxZc5+zZZxw8+KlQ9Vdx4qM2JG3alGfFiha0bbufJ0/EdmgTJtTGx8eRnj1P\naCVt7NevMh07lqdXr9M6l/mamhqya9e/mDr1Bg8eFE/8c9myuixf/pDoaHGtk6lTq3D06Cutf7Mq\n9OzpwM8/v9Ytmfwezs4SsbGqz/3mjQI7O805wkuXoLFuDcv/CFhZQdmyEC6Ws1aJiIh8nJ11X6D2\n7ImnU6dSOjH2btnyBC8vG2rX1s4OXIBJk0IZMKACVasWD1HZ0KEX6dDBBX9/3avCrlyJY9as6+zf\n3w4LC80BoatX4xg37iJHjnSkVCmxssOxY88RF5fBtm3thaq/igsfrSHx9i7N9u3t6d79Fx48EHO1\nP/vMg1GjvPjkk8OkpWkOYdSv78DixY3p3PlEEU12eZg3rz5RUSls2FA8MZn27Z2oWdOWhQvFGYLr\n1bOjShUrduzQjS2gRw8H/vMf+YzGhVGunAGxsaotUUKCAgcHzQ/N5csft0fSooXyO9AnJ5OcrKBs\nWd09kvj4HK5eTaFTJ/kdnNnZ+Sxa9IipU6sIz3n9+h3ffXeXlSvryz6fKiQnZ9Onz1nWrWuKi4vu\n1RGrV98nJOQ1mza10jp2x46H7Nr1iP37P8HERPtyrVBA//4nKFXKnOXLZaiY6YmP0pC4uFhx5Ehn\nRoz4jUuXxNh2GzQow+rVLfj001+IjdVcPeLoaMG+fW354otzhIXpXl3Vvn05unZ1Y8iQizofozDM\nzAxZubIeI0de5907cfdg8uTKLFoUQU6OfG+kWjULbG2NuHJFhy649zA0BAcHiZcvVZ8/Lk5BmTKa\nDcm9e+DoCCWLsQv974ROneBUURlimUhKUmBrq9+SsXNnHH376sbWu2FDDE2alKRaNSvhOWvWRFC6\ntCndummmKxHFtWuvWbLkLjt2/Euj/og2fPllEJUq2TJuXG2tY6dPv0pcXAbr1rUUOnZ2dh6dOx+i\nWTPnYqeLV4ePzpDY2ppy/HgXFi++yc8/RwjNKVfOkunT6zNo0G/culVUV/p/YWxswL59HdiwIYzD\nh2N0vk5HR3M2bWrO55+f0yrjC9CtmystW2p+QCdNqkZISAKnT6upo1WBqlWtaNKkJBs3xgjPKYye\nPR3Ysyder4YnGxtDIiLy/083vAji4vIpU0bzrZyfD9euQdOmul/H3xWSBB07wmE96VYSE8HOTr/Y\n+8GDb/D1tcXOTn6dT0ZGHsuXRzJ5srhXkpen4KuvbrB4cR0sLIonb7Bw4R0ePEhi/Hjd8y9ZWXl0\n7XqMb76prVUFUaGAAQNOU7NmSSZOrCN0fGX1136GDKnJwIG6yQnLwUdlSExMDDlw4FNOnXrCsmVi\nWUczM0MOHOjA+fOxHD0ao3X84sVNuXEjjtmz9dMF+fbbOmzY8IALF7Qv+vb2pqxcWY/ERPUhNBcX\nC1q0KMPYsfKua9KkyqxYEUVmpm4xkZ499Q9rWVsbUKKE+t2fiEcCcOiQckH92FCvntIIPNazalzp\nkei3GKem5nHgwGvatxdLIBfFqlWPadeuDB4e4qGlCxfiCQqKZ+rU4hGSUShg1qwQxo+viZeXbn8H\nwNOnqfTpc4odO9rg4qK5bDcjI5dPP/2Fr7/2wt9fjE5ZWf21n5EjvfHzKx6PTB0+GkMiSbBlS1ve\nvMlk/PjzwvPWrv0XERHJLFqkguSpCLp1q0iHDm7MmHFNrx344MFVqFevNN9/r/2cAHPn1mPv3qeE\nhqoPo82aVYuLF18TGyteJly+vAWffOLIqlW6rUBVq1rw6FEGwcE6sAQWgpWVAamp6r9QUUNy5Ah0\n6QImxSBb+3fCp5/q740AJCYqsLPTf8m4ciWFdu10W4BTU3NZteoxkyaJeyUAEyeG0rNnedzdi6fz\nMzY2g2++CWbrVl+MjXX/Ts6efc6iRaHs399Ba6XVixfpdO58lA0b/KhVS0zN8dGjREaNOsP27R2o\nXv3DxXU/GkMyY0ZDXFys6NfvhPAi//XXtfHyKsUXX/ymdayHhw2rVvnSo8dxkpN1T667uJQgMLAe\nAweeJzdX+4U2aFCaTp1cmT5dPYFVjRq2dOjgxIIF8iR4v/mmEhs2xJCcrFtvRPv29jx/rn89u6Wl\nAWlp2gyJ9lv5+XO4fx/atdP7kv5W6NRJaUT1RXF4JAAnTybStq29zvohK1ZEUaWKJWXLihOovXyZ\nycaNkcyZo1l0Sg5++imCp0/TmTatrl7HWbIklIsXX7B0aTOtY2/ejOeLL06xf/+n2NuL/f1Xrrxk\n7NhzHDnSmdKli5EGuxA+CkMycGB1OnasgL//IbKyxJqTWrRwYcqUBnTpcoyMDM1zTE0N2bOnHbNm\nBRMSolvDXQHWr2/K8uX3uXdPe5LewEBi9eom/Pvf1zUu9oGB3gQG3iclRdwglCxpgodHCZYt040W\nAsDPz57Tp/WnclF6JOo/T0hQYGUFxgIFRTt3Qu/eel/S3waursqy36v6s4W890j0NyRPnmSRkJCL\nt7duXdgJCdncuZPM8OHyNDlWrHhIixZl8PaWTyCpDkOHXmDYsGrUrVtar+PMmHENPz8XunXT3sF/\n+PBj9u+PZOfODsIlvjt3PmDbtnAOHvT/ID0m/3hD0qSJE/PnN+Pzz4+TkCDG8+PqasWuXR3o2/cY\nMTHaq40WL25KZGQyq1frwPRXCAEBnjg4mDN/vhg97vDhnqSl5bB9u/rFvnlzB6pXt2HNGrHCgv+7\nlvK8evWOuDjdPAoTE4kmTaw5e1b/3hdLS82hLYUCgoPzhMJbP/8M7dtDiT+A2+qvgE6d4NgxHQkh\ni6A4qrYKcPJkgs7hLYDVqx8zZIg7xsbibk1GRh5z5txjzhwvnc9bFK9eZTJ27GW2bm0pVJ6rDqmp\nOfTqdZJVq3yFFBMnT76AsbEBs2Y1Ej7HzJmXefo0hc2b2+p8nerwjzYk5ctbs3dvRz7//LhWevcC\nFAhazZ9/nTNnnmkd36NHJdq2dWXIkDN6Xauzcwnmz2/IwIFBQiEtBwdzvv22DiNGqCeBA5g/vzbT\npt2WpeUuSTBsmDtr1uienW3c2IawsAySknSjyi8MKyvNoS1Q9kdUqqT9dn77Fi5eBH9/vS/rb4FG\njeA//ymeYyUlKXj5Uv/fE5SGpG1b3Q1JWFgq4eEpdO3qLGve+vWReHpa06yZ/tTrBdi1K4IHD5L4\n9lv9+lVu3ownMPAmu3e31Zp3yctT0KvXUfr3r8ann4prGQcEnKJCBRtmzGio17UWxT/WkFhaGnPk\nSGcCA69z+rQ4rcfMmY0IC0sQquqqWNGGlSub06PHCVJS9NNLX7/el5Ur73L3rlhz5MKFDfjxxwjC\nwtTv+Lt2dcHMzIBdu2JkXYufnwPJyTlCvEbqj2GnNqzl6WnClCniiT+lR6J5TFhYPtWqid3OO3dC\nnz7Cp//bon59Zbnz6dPFc7zcXKhRQ0wbRBvOn0+iTh1LrKx0D7OsWvWYkSPl6f/m5OQzc+ZdAgOL\nL1cCyr6QgABP6tXTL8S1bNkt4uMzmTNHu6fx+nUm3bv/woYNflSqJNbxn5WVS+fOhwgIqE6vXvqL\ngBXgH2lICsSprlx5wcqVYpVPAEOG1KR9ezeGDtX+5JmYGPDttz7MnHmN0FD98iIDBlTByakEgYFi\n19qwoQN2dqZ89516Y2dkJDF3rjf//vct2RVkI0ZUYM2aaHmTiqB1aztOn1ZtFOvWNaNmTfEFydQU\nUlI0/xH37+dRvbrYonTokHKB/ac3J44bB8uXi3WzGxrC0aPmGGhYEXRNjqtCRkY+V6+m0LKl7vmK\nQ4de4u5egpo15VGg7NwZg7W1MR07yvNmNOH160y+/DKITZv+hZGRfstqQMCv9OxZiXbttFOxBAe/\nYvr0S+zf/yklSoixDsTFZfDpp4cIDGxO3bq6yQkXxZ9iSCRJWihJUrgkSbclSdovSZJNoc8mS5IU\nIUnSA0mS2hR6v64kSXfff7Zc0/HnzGmGtbUJX30lHm7y8irNnDlN6N79FyHlwu+/b4iFhRFr194T\nPocqODiY06OHBwEBZ8nNFQs/LVrkw7590aSnq7/OPn3cCAqK49QpebT1Li7mNG1akl27tIf11MHO\nzghPTwu13eyVK5vw6JG4B2dubqA1xi/HI0lPhzVr4PPPhS/hbwdXV/Dzg40bxcZXrmxAxYrav+fi\n1ME7fPgttWvrTnuel6dg3bpoRo4UD+0A5OcrmDr1FnPmeBWrcTx4MJoXL9IZO7aWXsd5+zaLvn1P\n8eOPrXBy0p7MW7/+LsHBr9i40U/4HHfvvmHkyNMcPNgFR0f9E4Z/lkdyCqiuUCi8gEfAZABJkqoB\nPYFqQDtgtST996deAwxWKBSVgEqSJKkt4uzevQqffXZEWNDeysqEvXs7Mnr0OR490h7O8fV15vPP\nqzB0qH55EVCyA9+/n6i1Y74AXbu6YWlpxLZt6hPshoYS06fXZPv2GNnXM3SoO9u3PyMjQ3dSppYt\n7bh4MVktpUrlyiY8fChuSHJz0apjIceQAOzYAZMmgUUxa7n/VTBqFPz4I1pDggXw9jbg1q1iyMjL\nwNWrKXTuLNYPoQ4bNkTTo4czNjbyOMCOHIklNTWXrl11EKLXgBEjgpg40Zvy5cVpXFTh4sUXrFx5\nh5kzGwgZu5Ejz6BQwIgR4kbs2LHHrF9/m59/9terFwb+JEOiUChOKxSKgrv2GlDAEeAP7FIoFDkK\nhSIGiAR8JEkqC1gpFIoCvcufgM7qjt+p037hCi2ADRv8OHPmGbt2PdA61sbGhK1bW/PFF2d480au\nlOf/wtfXiRYtnJg167rQeGNjA+bNq8+ECcEa2YR79SrPixeZBAXJ6yg3NpYYPNiNtWv1C2s1aGDF\nsWPqcz1VqpjK8khycxVaDcmrVwoMDSVKlxbbYt67B+fPw8iRwpfxt4GVFQwcCCtWiM/x9jbk9m3N\nm4fi3L0D3L6dRsWK5lha6p4niYt7x4kTcfTurZlmRBVmzLjN998Xr1cSHZ3KkiV3+OEH/bl45s27\nSfXq9owapb3KLCsrl2nTLjFzZmNZGu6zZ18mPj6DFSta63Opf4kcySDg2Pt/OwGFNdyeA84q3o99\n/75KhIeLaxd/+aUXVarYMWbMOaHxP/zgy9GjMRw/Ll+XozCMjQ1YvboZo0df0hiiKoxhwzyJikrh\n11/VC90YGEhMnVqD77+XX4rcrl0Z7txJ4sED/TrRmzWz4c4d9RT1lSrJC22JGBKAsLA8WV7JrFkw\nfjxY/jmich8MX3yhJGh8JiM66e1tKOSRFGdoKydHwa1badSrp9/ufd26aNk9JQBnzsSRkpJT7F7J\nokW3cHe3pmtXeYUARZGfr6B//9NMnVqfqlW155IeP07m66/P8J//fIKlpZiHpuTxOoavr37fwQcz\nJJIknX6f0yj66lRozFQgW6FQ7Czes58GTr5/qQ8B1anjwKxZjeje/RehRsWePStRr14ZJkzQXHIr\ngvHjvXj8OIWDB8V2/9bWxkybVpuJEzV7L5995kJycg6//ipOzFiA4cMr8NNPulHFF8DYWKJWLUtC\nQlQbEicnI9LS8mWp7OXlKYsHtOH+fXnhrfBw+PVX+PprcHCAUvpFWf4SMDSE0aNh8WJ585ShrT/W\nIwFleKthQ/30QoKC3mBjY4yXl3wp3Dlz7jFlSvFwcBUgJyef4cODWLasCVZWutPuAzx+nMLUqVfY\ntq2NUBJ/z55HnDv3nLVrRTyMKOA0qalHado0QK/r/GBSuwqFQmPmR5KkgUAHoDApfyxQ2DSWQ+mJ\nxPJ/4a+C9zXoTxY99e+NhJWVCXv2fMLIkaeJjNSenyhXzpIVK5rTocMBMnUVHn8PNzdrxo/3on79\nPSqvTRUmTarD0aMx3L0bp3aMJMG0adWZPPk6cqV3y5Qxo1EjO7p1O4dqKd+iUB26qlXLlqioNNLT\nVVeyValixaNHqWj8+Yrg/3IkmmWBr14tjYeHOVDYGGqmhPjuO1OCg6swbZoBO3YkMHSofob0D5fa\nLYJevey4eNGamze1ecz/d384OhpjYFCbFy/uaJljgkJREzm/Xf361gwe7MTw4aoVta5eNefzz11Q\nfT+J3cMKBWzb9pgBA5wYN+6V8DyAX36JZPbsWrRvX5Ljx3UN6f7+Gb548RmnTj3h++/rMWbMBTXz\nxO6VDRtu4e/vxvTpdZk587LK8xXG6NGnCQ7ux8CBnmzZoqkYyOP9CxISAHTn0fmzqrbaAd8A/gqF\nonCi4TDQS5IkE0mS3IFKQLBCoXgFpEiS5PM++d4POKjPNaxZ04bt28PYu1e7YJSS8LEdy5eHcPOm\n+oVcFCtWNGfp0ltCXfMALi6WDB1ajenTNXsjnTq5kpOTz7Fj8iuuevd24+DB5zqz/BagQQN7jf0n\nlStb8PChmKRxAXJzFRgKhNHv3MmgSxfxml4TE4lx4xwoUcIQCwsD6tX7e2feS5Y0ZNGicixdKq8c\n3du7BLduadbYATAwgJAQeboymZl5NGumvsfh6tUEGjbUvTGxAD/9FE2fPm5CnmthKBQwd+4tpk7V\nrgsiFxMnXsbfvwJeXvrXmX/xxWmGDatJgwbay3UzM3Pp2fMwCxa0wNNT/+9WBH9WjmQlYAmcliQp\nVJKk1QAKhSIM2AOEAceBEQrFf6OyI4CNQAQQqVAoTuh68r59q1G7tgPz5l0TGv/ll148f57K/Pli\nSXFN8PevQKVKtixaJC6ePX68F4GBIbx4oflhnz69NrNni/fNFEb//u5s26Z5R9apkzPm5ppX9AYN\n7AgOVp9oL1vWlPBw7YtWYShzJNoXiFu30nF2NqFUKTFHe8ECZ774otR/j125cvE02/1ZWLy4HDt3\nJnDzpjxDXbNmCW7f1v6b2NgY4eEhz9g+fZqFi4t6csHnzzPJzVXg5qafEY+MTCUqKo22bZ1kz927\nN5rSpc3w9ZU3t0IFazZvVq9CmJCQxXffBfPDDy1kX1NRvHqVzldfneGnn9phbq79/g4Le8vkyUHs\n2eOPmdkHCzz9F39W1VYlhUJRXqFQ1H7/GlHos7kKhaKiQqHwVCgUJwu9f1OhUNR8/9koXc/t5mbD\n0qUt6dNHLC/i5mbNrFmNCQwM1kmvvDBMTQ0ZP742w4efFaYsqVDBmr59K7Fpk2ax7VatnIiOTuXQ\nIflFADVq2FKqlCnnzqn3tqysjNi5s4nWZGuDBnZcu6beI6lQwZw3b+SFfzIy8khL0+4p5efDpUsp\nNGsmFnOfPv0Fc+a8Ii0tj5ycfMzNDShT5sM/dB8CrVtb4etryYwZ8vqGAFq0sObiRe2ehq2tEYmJ\n8n67lJQ8FAqwtVUfurt6NYFGjfTfOW/d+pj+/eUn3fPzFcybd5upU8VEowrw5EkqjRs70rq1+kT1\n1q0PKFHCmB49Ksm+rqL4+ecIrl+PY8GCFkLjN226w717b5gxo7He59aGv0LV1h8GQ0OJbds+Yd68\na9y+LVYau2GDHwsX3hDm6tKE0aO9ePs2i/PnxWPM06bV5Ycf7mnVfZ8woSbHjj3TqaqmXz93tm+P\n0TjX17cM1669JStL/YJubW2Eq6sF9++rX5ScnU158UIeEWRmZj7u7mKU2UFBKfj6iiVdU1PzmTnz\nJa6u91i9+jWSBOvWfVgBoA8Bc3OJtWtdGTHiGenp8npBTEwkmjWz4fx5MUOiC3ea0itRn6v67bd4\nPDz0L53bs+cpbdqUxdZWvuDM9u2RVK5sK4viJC9PwfTpwcydq57OJD9fwejRQSxY0BgzM/1Zd7/+\n+gweHrbCVVbDhp2ke/cqdOwor2lTLj4qQzJ5ckOysnJZulQsRDV4cC1sbU1ZvPiG3ucuXdqcb76p\nwzffiOuvV6xoQ6dO5Vm2THMStGpVO7y9S7Jrl3ySRQMDib593di2TfPc1q0dOX1a8263Vi0bgoLe\naPTcnJxMiY2V13/z+nUOpUuLJaPPn0+meXN5VUCJiXmMGRPLyJHPaN7ckvLl/17KVzNnliU4OJ3j\nx+XlLwAaN7YmPDyDxETtBsLOzlBoXFE8fZqFq6v60FVMTAZNm+qfR0hKyubUqZf06CG/7DYnJ585\nc24yYYI8Dq6ff47CyMiALl3UL9QXLrwgODiO8eP1z8MkJb1jzZpbbNjQTihklZqazaBBx1m3ri2l\nSn0YLRL4iAxJgwZl+eqrOgwYcExo1+7sbElgYHMCAk7pHdIC+O47H7Zte0BkZGMXUZsAACAASURB\nVLLwnOnT67JixV2tQlljxtRizZpw3r2Tnyhv2bIML19mEh6ueRHy8yurtaS4bl1boqM1x9p18Uji\n47OFDcnNm+l4eJjpJMC0Zs0b5sx5xc6dbkJ9K38FeHmZExBQkjFjnmsfrAJ+fjacOiVG9a/0SORX\npT17ptmQhIWlUr26mPE3NNScK9u8OYqmTcvIur4C7N4diZ9fOcqVE6cMUShgypQrzJ7dUKM2yMSJ\nlxk71luI8kQbjhyJJCQkjpkzxUJWFy48Z/v2+6xfX/z08QX4KAyJpaUJO3Z0ZMSI07x4ob5RrjDW\nrWvLDz+EcO+eGHWJJlSvbk/Xrh589514sr5yZVvat3dl+XLNjYUlS5rRvbsHa9ZozqGoQ4cOTqxf\nr1mrxMnJnDJlzDRK+QJ4eloRHq6+mdHS0ggDA4mUFHkG7/VrcUOSm6vg2rU0mjTRrTdhyZJ4kpLy\nmDVLftL2j4aBAWzY4MrkyS+Ij9eN3t3Pz5bTp8UMiZ2dkc4eiabQ1tOnGdjYGGmlOenb14116xpo\nHHP2bBwdO7ri6Ch/952amsO2bY8YOVJeX8mJE0948yaTfv3Uy//GxKSwbt19AgOLJ18xatSvDBpU\nk9q1xYzm9OkX8fCwZcCA4u2ZKcBHYUgmTfLh3Lln7N//SGh8377VcHGxIjCwGGTlgEWLmjJ79nWS\nksR34tOn12X58jta6emHD6/G/v2Pef1aPl2LoaFEv37unDihOWTVurUjZ8680kjLAlC1qmZD4uRk\nJjusBZCamoeJiYSZmdjtev58snCepCgUChg48An9+9vTurV+HdcfEpIEa9e6EhycwebN4kwOhWFv\nb0SVKuZcuSLGZKBPjsTJSX2OS6GA8PBUqlbV/H2HhibSvLlm+o/s7HyOHn1Gly5usq8TYOXKuwwe\nXFWoMqowpky5wrff+mgUtwoMvEHr1uVo0EA3j6kw4uMzmDjxPBs3ttPqpQFkZ+fx+edHWbiwBeXL\n69cAqgr/eEPSvn0F+vSpypgx2nXXAUqXtmDu3OYEBBwXJn3UhHbtyuPubs2aNeIswZ6etrRp48KK\nFZq9ERMTA0aOrKE1h6IOzZs7Eh2dzrNnmstFW7fWHtYC7YbE2dmcFy90021R5knEHu7jxxNp0UL3\nh+X161z6949h69byODj8NWNcy5eXo3p1MyZNEi/cKIpWrWwICkpRS65ZFEqPRH5oKz4+W6MhAbHw\nVnh4MnZ2JpQtq9nb2Lcvms8+c5N7mQBERaVw9Wocn38ur8rq0qWX3L+fwNCh6nf8aWk5TJ16lbFj\ni0cLZevWe7x5k8G4cWKCWnfvvmbBgmC2bv1EWKJXFP9oQ2JjY8q6dW0YNOgE6eliD8Dixf9i69Z7\nhITo33hoaCixeHFTJky4KEwRDzB0aDXmzLlJaqrma+7VqxL37iVw756YGFZRdO3qxv792psXlYl2\nzYbE3t4EU1NDXr5U73E4OJjw7JlurAByEu4hIemULm1MzZq69yacPZvGpk1vWbDAGUvLv9ZjsnCh\nMw0blqB9+0jS0nTf7MgJawFkZeXLzm8BJCbmaq2kun8/herVNXskCgVcuPBaq7rhyZPPqVevNCVL\n6tYXtHz5HUaNkk8FP3XqFTp1ctNYnbV1aziennb4++vHw1WAYcNOMXFiAypWFNN1WbLkOpIEY8fW\nK5bzF+Cv9YQUM5Yubcnhw5GcOydGe9GihSu+vi7Mny/WqKgNAwZ4cuXKS375JUZ4jqurJf37V2Hr\nVu0d95984srSpbp5I5IEXbq4sX+/5u+mUiUrQkISiI7WnFuqWtVKK9mjg4MZSUm6dc7Hx4sbEoA9\ne97Qs6d+5FnffvuStLR8Ll+u8pep5Pruu7L4+VnRtm2kLL6yopAkcHAw5sQJ8bL25s2tiY39vSHp\n1s1BY/d6UlKuxj4SUBqSatW0e5FBQfH4+mo2JJmZeZw69Rx/f+3CUKrw229KL69VK3nCV7dvvyEr\nK4/Bg6urHVOQnJ8zR3NyXhQxMcnMmXOVpUtbCo1XEkEepWVLV6pWLT5lt3+sIenQoQK+vi78+9/n\nhcYr2Xj9GD36N2HvRRNMTQ2ZOdOHDRvuy5o3ZkwtNm9+oLVSq1690tSr58CJE7pxQzVoUJqkpOz3\nvFfq0ahRKa2eEWhPtIMy2Z6WpltS+PbtdGxtxcNMu3e/oVcv/QxJfj589dUzNm58w5UrVWjcWP+K\nG30wdaojXbva0rp1JImJ+lHZ/OtfNri6mvLokVjOysAA3N3NePz49x5lhw6lqFhRvfeXmJij1ZCI\nVm4FBcVrzZMA7NsXw2efyW9OLMCKFXcYPVq+VzJnzg2++aa2Rn2P48efkJDwjs8/Lx6p2xUrbmJm\nZkjfvtWExj95ksLhw1Fs3ty+2EJc/0hDYmtrytq1bRg06LiwUZgwoQFRUUkcPKi5gkkUw4fXIDT0\nNdeuiYfI7OxMGTCgilDOY8iQamzcGK4zrXeXLm4cOBCjdZyPTymuXdOezNWWHwFld3xqqm4LYHp6\nvqxQVWhoOvn5ULeu/vxZK1a8ZtCgJxw4UIH+/f8Y7qKiGD/e4X0BQARv3uhmjAsjIMCBLVvE9Wqc\nnU14+zaHrKzfe0H29sYkJKh/zpKTtXskT59mvGcX0Fy2fft2Ii4uFlrDVseOPaNp0zLY2OjmSW7f\nHoGRkQGurvIaJYOD43j0KInPP1dfwQUwefJlZs1qhImJ/k2K+fkKpkwJYsGCFtjYiIXz1q+/RVZW\nLqNH19X7/PAPNSRLl7bk0KFIzp8XIy90c7Nh3Lh6fP31r8VyfktLYyZNqsv06fKqvr78suZ/5Tq1\nHb97dw9+/FG7EJc6KPMjMVrH+fiU5OpV7SXQpqYG3LunuUfG0lJ3QxIenkHVqvKMwu7db+jZU3dN\n8MI4cSKFf/0rghkzyhIY6PRBKNVVoVw5Y376qTy+vpa0bBnBq1f6GxFrawM6drRnxw5xckcPD3Mi\nI1V7L/b2RhoNSU6OguzsfEqUUL9oKhTK0m1NZcKg7Ca/fPkNTZtq7kBPTc3h7NmXtGmjmy57ZmYu\nkZHJBAR4yp47Z84NJk+up7Ga6tKll9y9+4bhw/WT5S3A9euv+OWXKGbNaiI0XqGAL744wZQpDfHw\nUB+WFMU/0pA0a1aOSZPEQloAK1e2ZvHi68TEiDcLasLo0XX47bfn3L2rfSfv6mrF69df8MMPzRkz\nxotFi25rndOrV0XOnYvl1St55HwFqFbNluTkbEJDNV+fmZkhnp42hIZqT+Y3b15Ka2mvlZXuoa3w\n8Ew8PeX1BvznP0pDUlyLflhYFj4+D2jcuAT791egRIkP9/hYWRkwZ44Tt25VJSYmmz59YoiN1T/k\nCtCzpx2//ZbE27fiv0XFimZERan+fe3sjLVWcyUl5WhNuD99mqGxcbEAp069EMqnHDnyhM6ddcuT\nAGzaFE5AgKfs8M/587HEx2fQvXtFjeOmTr3E5MkNhEWotGHKlCB6965KrVpiNC9RUUnMnXuVDRva\n6f2M/CMNiZyQVufOlahQwYbFi/Vn9gWwszNj9OjazJwplrA3MJCwtDRm2LCa2NubsWpVMypX1rxD\nGDKkKhs26NaACMok/ZUr2sMaderYExaWzLt32pO65cqZa63I0scjiYjIxN3dVBZN+P37GaSk5NGw\nYfHlNt6+zaN160gSEnLZvt2NL74oiY2N/uGJAhgawvDhpXj0qDplyxrj5RXOjBkv9arOKoqAgJL8\n+KM8GWYPDzMNHokxCQmajZLSkGgLb2Xi6qp9s3D3bjLt2mn3NE6ejMXPz1nnPMDt2295/TqT1q3l\ny/jOnn2DKVPqaVyg7959w+nTTxg3rnjCS2/fZjJt2kVWrfITNgzLl9/E3NyIoUP1K0n+RxqSoCAx\nuggLC2PGjKnHiBGni6VnBOCbb+px4EAkUVFi3k1iYhaSJGFkZIChoQGNGztib68+zunlVRJHRwtO\nnpSvOVKANm2cOXVKe/9Bw4YluXZNe1jLwsIQc3NDEhI0FwgoPRLdDMm7dwpiY7OpUEGMvLEAGze+\noUOH4m3AyslRMHjwU3744TXt2lnz5EkNdu92p0MHa9l6GIXxySfW3L1bjW7dbGnfPpJBg54UmxdS\nAE9PM9zcTGVVa4HSkKjzSOzttfeXREamYWWl2eCKeiShoQl4e2v3NJ8/Tyc+Pos6dXSvTtq06QGD\nB8sPb5048YTs7Hw6ddKc8J858wp9+1alZEl597U6bNp0BxMTQ/r1U185Vhj5+QoGDz7O99/rpzH/\n1+y20hs5iCjOTZzYgNjYVC25FHH3v0yZEgwdWhNv7y2Iqp+lpORgbGxAfn4+CQnv8PM7yK1b6hfv\nIUM82bQpjPx83RYYc3MjfHxKvy+J1nwMHx87jhx5imrFuf+bW66cNc+fpwOa+bosLSE19TUgT3hJ\nCXPCw5OoWvUdjx6JFzDs3p1OeHgLVq68Q3y8nGZI7d/vb78pX3Z2xvToUY6pU13ZvLkcu3Y956ef\nnhIaqr5Ho0QJQxwdzShTxhQ3txIMGlSOsmXNmDAhhGPH5MgkywuLDBxYlW3bnpCXJ69PqmLF6kRF\nxQL/O6+gZyIzUzM7gqVlNSwsstF0jzx9mkDTpg6Fxqh+9hISMklIyMLDw5jISFXH+7/f7uTJp7Rt\nW5YbN0To9X9/vl27wgkM9KFkSSPevlUXulV9r8yefYXPPqvE4cPqGDVyiY5+y2+/RTNuXG2mTlWn\npCiO/HwFI0ee5vDhrhw6FElysqa+H+V1h4W9YvnyYL3O+4/0SETg4mLFV1/VkZVL0YZRo+qwdOl1\nnj8Xo5wA/lt19epVBl5e2zQaETMzQ3r1qsTmzWE6X6OvrxMhIW9IS9O+UHp52XP1qvYQSLlyJd4b\nEs14+/ad0HnV4cED7TQaRREX945du14wZkzxNICpQmJiDuvWRdOkyXmaNj1PcnIOP//sw927rZg1\nqyqrV3uzb58Ply75EhnZhrS0T4mP/4RTp5qycGFNunQpy5YtT6hV6zeZRkQejIwk/P0d+fFHed6s\nkZGSnkZVn5C9vQkJCdqbFPPztRMuPn2ahqurWBgyJOQtdepoL+8+ceIp7drpLg2QnJzNkSPR9Osn\n3ys5fPgxjRs70ahRWY3j5s8PZtgwb+zsiscruXHjFYcPRzJ+vFjHu/Iaruh1zo/WkMyf34KVK0N4\n9kx80deE0qUtGD7cm82bxalQAOrXdyQ/P58aNX7SSijZuXMFjh59wvPnYsSTqtCmTTmhsJidnSkO\nDuZqdnz/CxeXEjx7pt2QVKhgpReTcnh4Kp6e8vmvFi6MZOjQ8lhbf3gHPDIynW+/DcfD4yTDh9/i\n+fNM7t1LYceOZ0yceI+2bS/h6HiMEiUO4+FxkiZNztO9ezDbtz8rFpZpTRg40IWIiDQePJB3/9Ss\naUN+PqSn/z4s6eBgKhT+zMtTaM1VPHmSLlxuGxr6RihkdeHCS7y8SupcBgywceN9Bg8W69EojPx8\nBcuXhzB2rOYcyJMnKRw4EMGYMfK6zffv70z16qqN6ZQpFxg+3FtYalcO84YqfJSGpEkTZ5o0cWbB\nguLpYAcl5cDu3Q94+VLeQzp4cA1mzbpKYqL2xrC+fatw6pRuDYgFaNvWhVOntBuS6tVtCQ8Xo88o\nV86C58/FKsgkPcpDbt1KwtJSvjGIicnk2LF4Roxw0/ncuuDSpbds2BDD6tWP2b//BZcuvSUqKl3n\nyjV9YGpqwPTplZk9W36flI+PHdeuqa7cc3e3Ekpm5+crtHokz56lC4s/hYS8pXZt7YYkKyuPS5de\n0aqV/IR5AYKCXpCU9I66dcVFrwqwZct9WrZ00UqUGBh4lREjvIX7QJTX9Zy5c5ur/CwhIZPAwKss\nWqReCrg48dEZEkmCZctaMWnSeTIzi+eBtrMzY+hQL9mGydbWlB49KrNhg2ZyRlDSxTdt6sTBg/LF\nqwpQrlwJHBzMCQ3VvoOsUcOee/fEErIuLmKhLYUCvcoM791LoW3bMjp5FvPmRTB6tLswg/A/DcOG\nlefWrWSCg8W5tQrg42OvVj7Z3b2EVg0aKPBINI/JysrDxsYYa2vteZ+QkDdCoS2AEyee0batmKKg\nOpw69VSn8FZaWg4//nifr7/WXBX1+HESv/wSxahR4hVca9aE4uVVmsaNVVew/fBDCJUr2+Pn5ybn\nknXCR/dUDRhQg+zsPHbt0r18tii+/roOhw5F8OSJPIW6gQOrc+xYNHFx2nfzPXpU4vjxJ3rRt/j5\nufDrr8+10sED1KxpJ2xIcnPziYnR7okpdG3Df4+cHAXXryfSuLH8KpywsDSuXUsiIEC/BeXvCAsL\nQyZNqsj06dr521RBs0diqZWHDQo8Eu3LTUJCtsaqxQK8epVJTk4+Li7acyonTz6ldGn98g+7d0fQ\no0clnUqJV64MZeDA6lr7RebOvcrXX9fBykosDPfuXR4zZ15i3jzVXklOTj4TJ55j8eJ/CVHN64OP\nypBYWpowZ05zRo8Wo5QXgZWVCV99VYd58+R5I5IEI0d688MPt4TG9+1bmR07dFsIClC9uh1HjjwR\nGlujhp0wq3CtWvZCfFwg5pGUK2eBqanqW/PChTc0a6Ybh1ZgYATffFPxgz9UfzV8/bU7QUFvuXNH\nvhSvjY0xLi4W3Luneq67uyWPH2s3JCIeCUBCwjshQwJw8GAM1app78p+8CCJJk3KylI+LIqIiCRe\nvEjH11d+p/zTp6n89ttTAgI0i0pFRCRy8mQ0X31VR/jY27bdx97enA4dVBeTHDwYwdu3mQweXDwd\n9OrwURmSoUNrcexYFDduFF9lzJdfenP6dAwREfLq8tu2dSM5+R1Xr2ovS3Rzs6ZyZTtOntQvP9Kt\nmwc3boiV3ioNidjfZGtrQlKS9tJaZWhL+yK+d28z6tZV7XVcuPCWZs106wu4di2J0NAkevfWjTbj\n7wgbGyPGj6/AzJliom5FUb++HSEhSWoLAeR5JNp/e6UhEduRZ2XlUaOGWDL50qWXNGmiuXpKG3bt\nekTv3pV1mrt0aQijR9fW6tHMmXOFr76qg4WFWFl3Ac9WYGBztcceN+4ss2Y1EfZ0dMFHY0icnCyZ\nMqUR3357qdiOaW5uxNix9Zg7V76S4qBBNYS9kT59KrN3b4RelRXOziWwsDDi0SPtMfKyZS3IzVUI\nqy7KMSQiCAtLVkuBceXKW2rXtlXrsWjD7NmRLFpUjTJldNOq+Lth7NgKHD0az8OHulX6aQprAbi5\nlSAmRnuO5MWLDLKztd+/cjyShw+TqVxZTAnz4sVXNG3qKDRWHfbsiaBr1woamX3V4erVlzx/nkqb\nNpopWx48SODUqWi++ELcgzh8OJK0tBx691bNJhwaGsfx49FMmdJQ1jXLwUdjSGbObMLGjXeIjdW9\ndLYoeveuyv79Edy/L0/XvVw5S5o2dWb3bjHSxb59q7Bjh247ygI0aeLI5ctinliNGnbcvSsulmVn\nJ2ZIQCy0pTQkqheI9PQ8wsNTqV9fNzLG0NBkNmx4wtq1H9bV/yugTBkTBg1yZdYs3UOiHh6WXL6s\nmpOtTBkz0tJySU/XXrTi7m4ltJEQzZEAPHqUTJUqoobkJU2b6ueRPHuWRlhYIm3a6NaXsn79XcaM\n0R62WrPmFmPHaiZ9LIpJk87z/fdN1bIJT516ge7dq+Dq+mHkoz8KQ1Klij1dulRi3rzi0WAHJUfW\n5MkN2b5dnt4IwIAB1TlwIIKsLO10IdWr2xMdncLlyyKduerRuLG4ISlf3lKoEREKmtUMhUpaw8OT\nhAxJeLh6QwL65UkAvv8+gooVLf7RIS5Jgk2bvFm3LoaYGN1UKU1NDeja1YmgINWGpEIFsbAWQIkS\nRkLNqHI8kkePxD2S0NA3VKxog7W1fuGd3bt1D2/t2xdBnToOuLtrvubgYKX30rWr+HkuXHjOiRPR\nDBigmhrl5cs0tm27z6xZ+lGhqMNHYUjmzGnGggXBJCXJlwlVh06dPHjzJpMrV17ImidJEBBQnc2b\nxQxQt24VefBAXv5FFZo0ceTSJTFD4u1dkrg4sbCWjY2JVhGuAjg7WwiVdoaFJVO1qvqHLSjoDY0a\n6a4Lkp2dz8CBt1i6tPo/NsQ1enQF7O2NmT8/SudjtGxZmlu3ktRyqFWrZsPdu2LlxJaWRkKei5wc\nSWxsBlZWxlhZab+ncnLyuXEjnoYNywgdWx327o3kk0/cMDeXX4L+7l0e27aFM2RITa1jFy0KZsKE\nBrKOv2XLPaZNa6w29LZkyQ3at69AtWrFp4xYgH+8IfHxKUv9+mX54YeQYj3uuHH1WbJEPmNw8+bl\nyMjI5eZNMa6jLl08OHBA98UAlLvBqlXthBPt7u5WREeLdfyL5kcAkpNzhDqMnzxJp2RJU6ysVD+s\nZ868pnFje52aEwtw82YyGzc+Zc0a7Q/13w116tgweXJF+vQJITdX95Jrf38nDh9W7wnXqWMvw5AY\nC3mtr15lyurwj4j4Y/Mkr19nsm9fJG3a6FZGvm7dHQICqmvNsxw5EoWdnRlNm4o3UgYHvyQs7A0D\nB6q+p1NTs1mwIJjZs5vJumYR/OMNyfz5Lfj220tkZRVfN3G9eo6UL2/N/v3y8xZKb0SMRsXd3RpH\nRwuuXNGvyqxBgzLcvv2Wd+/EmHc/nCHJxsZG++5RoYCHD1Pw9FS9QKSm5nLtWiIdO+q3KHz33SMq\nV7akZ08nvY7zV4KlpSG7d9fhq6/u6hzSAqXn3KmTo1ZDEhIilktTyixrD23l5yuEekMK8OhRirAh\nuXTpld6VWwAhIa/p0sVDp7mPHiUSHp5A586atUry8xUsWXKdCRPE+bIAZs26zJQpDTEyUr20r14d\nSr16jjRooP/3UBh/iiGRJGmhJEnhkiTdliRpvyRJNu/fd5MkKVOSpND3r9WF5tSVJOmuJEkRkiQt\nFzlP+/YVKFXKnJ9+ksd/pQ1jx9Zj+fKbsrmRrKxM8Pf3YPt2sWbILl08OHw4WqiBUBMaNy4jHNYC\ncHOzJCZGzJBYWBgSESHWnyBqSEBzwh1g795YunfXL8ehDHGFsnx5DRwcPlxp5B+JVatqcu7cW/bu\n1S+nVreuHcnJOURGqq7IMjSUqFnTllu3xMKuyhyJ9s1cdnY+Jibiy5KcPMmVK6+wszPRW6f8yJFo\nPvnETed+pHXr7jBsmPZij61b79GokROVK4uHca9efUFERCL9+6vOlWRl5TJr1mUCA1U3MeqKP8sj\nOQVUVygUXsAjYHKhzyIVCkXt968Rhd5fAwxWKBSVgEqSJLXTdAJJUvaNTJ4cVKxkeOXKWdGunTub\nNmnXVS+Knj2rcObMM968EdspdulSQe+wFig1TEST9WXKmJOWliMUzwYwNTWkVCmxrmHR0BbA1atv\ncHZWL3J06NALWrVy0CjfKoIbN5IJDIxg5866eh/rz8bnn5ejXj1bRo+WXwBSFJ9+WpZDh9TfM1Wr\n2vDsmThvmKWlsdA9lZ2dL6u8Njw8EQcH0fsvGxsbUypVEjM86vDsWRpPn6bSuLFuu/oDByKpUaMk\nFStqrjzMzMxl7drbjB0rj8xx1qxLTJ3aSK1XsmXLXZydrWjdWrNWihz8KYZEoVCcVigUBUXl1wCN\ngUBJksoCVgqFooA0/yegs6Y53bpVoWxZS44cidT7egvj66/rsHXrfVJS5GhbKDFokHhYy8HBnBo1\nSvLbb7oLWBXAx6cMd+6IhSDkhLUADA0NhOPwcjyS8PBk2rdXH3JKTMzh8uW3dOyov4u+YkU0T55k\ncOhQ/b8tF1fFiiVYsqQaPXveJDNTLITZo4czXl6qF1V//7Jawlp2hISIeSPGxgYYGkpCodWcnHy1\nJayqEBeXhaenuOZ4aOgbatfWveKvAIcORePvr5s0QXZ2Hlu3hjF0qJfWsatWhVCzZilZFPOXLsUS\nE5NM376qGYvz8hRMm3aBuXNbCB9TG/4KT80g4Fih/7u/D2udkySpoFbNGSgsexj7/j2VMDCQmDmz\nicbmQ29vB1lMmwAlShjTvLkLK1bclDUPoGJFW968yeLEiRih8f7+Ff6rsqYP7O1NsbU1JTpaLPyk\nNCTivTZGRpJwo6TSIxEzJNeuvcXb205j42FxhLdAmZMZMuQ28fHZ/PxzPYyN/14UKu7uFmzfXptx\n4+5z757YJsDa2oiVK71U3l9ubhY4OppqbESUkx+xsjLi9Gmx6kalRyL+/cfGpsuiPgkJeV1MhuQx\n/v667+jXr79Dy5auar2GAsTHZ/D4cTIDB2qmVymKWbMuM3VqI7Xht337lL1FHTtWknVcdfhghkSS\npNPvcxpFX50KjZkKZCsUip3v33oBuCgUitrAOGCnJEmyO2i6d69Kamo2J05Eq/zcwEBi715/tVz+\n6tC3bzVevkwjJkZMRrcwevf25PFj9VQTRdG5cwW9mH4L4OVVitu33wp3lcv1SIyM5HokYqGt9PRc\nHjxIUUuVAnDw4Atat9Y/vAVK4aX+/UPJyVGwc2edvw0fV/XqVgQFNWbr1mds365dPrkA48dX4tix\nOMLDf/9bd+7sxNq10eRr2B/UqWPPzZtihsTR0Zzy5cV0RuR6JLGxGTg7a5fnLUBxeSS3b7/B2NiA\natV0K0OPikomMzOXdu20G6NVq0IYMaK2LObsoKBnXLz4nM8+q6Lyc4UCpk8/z9y5LfRi5C7AB1P6\nUSgUfpo+lyRpINABaFVoTjaQ/f7fIZIkRQGVUHoghcNf5d6/pxIlS16hb9+dQBJQAfjfCovPPqtM\nXFw6ly+LP3ig5NWaOFFUUfF/48G9e1chIODY795XBQsLIypXtuXYsUhEJXvVoXZte0JD4zWc93/f\nNzHJe9+3oi2Po7x1jIxyyM3NERgPcXFJJCdnCo2Fgm5kWy5fVi33m5ioTKB+8okVe/aoM7rit3hu\nLvTseYrDh1uxeXNNBg68KGyA/wz4+JTm0CEfxowJZvdu1ZsmVShd2oyRV+ErrAAAIABJREFUI92p\nW/cg8L/epyTBV1+50bv3WUC1oTA0lJCkfG7desH7x1UjnJzs34u2af/ds7MzMTbm/Vjtz0pamrJc\n2NY2X6hPLDT0FbVrt1RzbHnP2uHDUfj7lycsTN46UoCffrrPgAE1+OUXzXnQa9dekpKSTZs27pw8\nKf477937kMDA5uzZo5pB4+TJX3FxuUGVKs948EAeO0dR/FlVW+2AbwB/hUKRVej9UpIkGb7/dwWU\nRuSxQqF4CaRIkuQjKVn/+gEH1R2/b99RPH5cH/CjqBEBmDjRh/nz5WkUN2zohKWlCb/+GiNrHoCX\nlwNmZoZcuyaW8G7RwoXnz1NJTZWfhykKb+9S3LolrpHu5VVauMEQCjwSsdBWXFwmTZuKN4RduhRH\nkyaax//44yNatSq+Usbs7Hy6dDlD+fKWrF7dqNiOW9xo3bosR460IiDgoiwjAjBpUk127oziyZPf\nhzBbt3YmOTmb69fV3zP16pXCyspYuOzb2dmC2FjtfFwAOTl5sqq2AJ4/T8PZWSy89epVBrm5+bi4\niHlImnDoUBR16jjoPH/Pngf4+bkJ5T9WrQph5Mjaso5//PhjDAwk2rRxUzOiAq9e+bB790okqZWa\nMWL4s3IkKwFL4HSRMl9f4LYkSaHAXmCYQqEo6HgaAWwEIlBWdp1Qd/CZM4PUnrhlS1csLIz45Rd5\nSfgvv/RmzZpbOu1Qe/XyFObVAmjXzk04l6INSkMivtsoU8ZcSB+lAEZGknC47tmzNGEpVVAaksaN\ny2h0vY8ceUqXLm54eKgmeWzduiwTJ8qLL2dm5tGx46/Urm3PggXyOI/+CHz2WXm2b29Oly5nOH5c\n3m64XDkLBgzwYM4c1YShw4dXZe1azeXprVs78+uv4owOTk4WvHghZkiys/N5+FCe+FZsbBrOzuL3\nlTK8JV/tsCiCgp7j51cee3vdtE6Sk99x4kQ0PXtqF8zatSucRo2ctCotFsXChcFMnOij9vNfflGS\nwX76qW60LwX4s6q2KikUivJFy3wVCsU+hUJR4/17dRUKxdFCc24qFIqaCoWiokKhGKXp+L/+qn6H\n9u9/+7BwYbAsg1CypDmdOlVkyxbtSoaq0KtXVVlCWsVlSExNDalY0ZawMHECRgcHC+LjxRvZ5FRt\npabmkJubj52dWJHDy5cZpKRkU6WK+qqczMw8Nmx4yNdfq65QuX8/iQkTamikXFGFtLRc2rU7jYOD\nGcHBHaldW3dKluLE4MGVWLHCh7ZtT3PpkhgfWmHMmOHN+vWPiIv7/W/s5GRBixaO7NqlOTenNCTi\nBkyOITExMdD4e6uCMuEux5DE65zbKIycnHyCgp7TurWbzsfYuvWe2p6PwsjMzOWnn+4zfLhmpcWi\n2L07nMqV7ahTR71n/913F5kxQ79u979C1dYfBm9vB6pVK8XOnfLUEQMCanL4cCQJCWL8U4XRqJET\n6ek53L0rFl7y8LDF0tKY27fFw1Hq4Olpx7Vrr4Q72kFZdhwfL+6R5Obmy2qYfPo0HVdX8SobkfDW\n6tVh9OtXUSWP18uXmXz77S3WrWssO6mYlJTNwIEXWbYsjOPH/Vi4sB4WFh8sragRpUubsXRpfUaP\nroav73Fu3xbfHBSgUiVrOnd2ZcEC1SXogwdXYffuxxo70C0sjKhbtyRBQeINrs7OJYRDWyYmhrIr\nFWNj03B0FE+43737tlg8EoBTp55oCB2JzI/G3d1GqOlwzZpbDBpUE1NT8WKEnJx8li69wTffqOft\nOnz4kd5Nmh+VIZk40Ydly26QnS2+sEoSDBvmxZo1oTqds1evquze/cd7IwA1apTk5Utxo2BuboSx\nsYGw2iEob1RtEqKF8fSpvPDW0aPPqF9fc5VNbGwGJ0/GEhCg2j1fu/YhxsYGDBqkW6njtm1R1Khx\nEEdHc+7e9cfPz4mFC+vRvv2HZw+2tjbmu+9qEx7eGQMDiebNjxMZKV5VVxgTJlRn9uzbKnMbhoYS\nQ4ZUYd06zSHYZs0cuXnzLRkZ4pRDSo9E7D40MTGQtfEBiIvLkGVIHj5MokoV3WQIiuLkyRi9DEle\nnoIdO8Lp10+1R10YkZGJHD8eTadOmulVimLDhju0bl1eI+vwd99dkHXMovhoDEn58ta0auXK+vW3\nZc1r1ao8qanZwonywjAwkPD1LfenhLUAKle2FRKyKoDSG5HHz5SZmYu5ufgO6dmzdFmG5Ny5l/Ts\nWUFrAnbZsnuMGlVd5c4qP1/BsGGXmTu3jnAXdFG8efOOfv0uMGLEVdata8TYsdXZt+9fjB6tfQHQ\nBWZmhkyYUJ2IiK64uJSgbt1fGD06WDjBXRTDhlWhbt2SrFmjWpukQwcXnj1L19q46ucnL6wF8kJb\npqaGsjZ6AImJ77C1Fe8Je/QoiYoVbYql7DUiQlnSX7Wq7oy6W7fepWbN0kLXc/hwJCNGyEu6p6Vl\ns379bcaNU8/bdfCgfjLeH40hGTWqLuvW3ZZdCTVoUC2WL7+h0zmbNHEmPx+iosQWc1NTQ5o3d+bX\nX/WT1C2A0pCIU9A7OFjISrRDgSERD/fI9Uji4jIJC0uiRQvNlVnBwa+Jj8+iUyfVokN37iSyZUsk\nS5bII8EripMnY/nii8vk5uZjbm7E/Pl12bq1abEl5I2MJIYOrUxERFcaNXKgRYsTBARcVFlhJQpP\nTxu+/742ffoEkZOjOmzUqZMrK1dqp1Zp3dpJliExMTEgJiZN2DPWJbSVlPROOO8GkJ6eQ2LiO1xc\nikfk6eTJaL28krt331C5sr0QkeKRI5FUr16SChXk5ZFWrAihRo1SagsD9C1z/ygMSYkSxgwYUION\nG+XxY9nbm9G+vTsHDkTodN7OnStx8KD4XB+fspw580ynXIwqVKli98E9kqysPMzMxD0SpSERz5EA\nHDgQQ+fOblrHLVt2jzFj1FdozZp1m8aNHfDz04/tt1Gj0v/1fIyNDejfvyK5uQNYtqwBXbq4UrKk\nPMYEMzNDqla1oX9/D8LCutCtmxtdu57ls8/OEh4uv/m1MExMDNi1y5cpU27y6JFqdoMWLcrSsqUT\n+/bFaDyWg4M5rq6W3LghXgVYqZINpUqZCZeI6xLakuuRADx8mCg7qa8Op07F0LatfrxVe/Y8oEcP\n7dVbOTn57NgRTkCAvErEuLh0oqOTZUn4ysFHYUj696/OuXNPefpUjCakAH36VOPo0cc68WqBfEPS\npo079+7p1xhUGJUq2cgyJJaWxoSFqVbDUwe5HsmjR8mYmclLWB88+AR/f1etrv++fdEYGir7HFQh\nIyOXESOusnp1Q0qU0D1pXqdOSfLyFFy9Gs/s2bfp0OE0AQEXePkykyFDKhMV9Rl37/qzalVDevRw\no0wZc0qWNKVBg1L07u3OtGm12Ly5CefPt+P58+4kJvZh//6WeHvbM2zYZdq0OcX168VzH8ydW4fH\nj1PZuFH9fRgYWJ/p02+q9VYK0KaNM1u2RMgiQa1WzZawMHGvWJfQllyPBAoMSfHkSX777QlNmjjL\nSoIXxZ49D+jWrYpQeGvTpjsMHFhTdoJ85coQRo78MKwNf04Jyh8ISVKGtYYOPSl7bkBATf7973M6\nnbcg5nnnjnj1la+vC7NmqZcDXr78X8ybF8zLl9rjzU5OJUhLy5FlBEuVMsfCQjxxDvI9kgcPkvHz\nc8LAQBKu9oqMTCExMZsGDUpz7Zr67zM3V8G2bZEsWuRDixZHVY45cSKWvXtj2LatGd26ndOJor93\n7/Pk5ipUzp0//y6GhhLe3vb4+jrSt28Fpk2rhbNzCaKiUomKSuXx41QuXoxn69YoHj9OJTY2Q2+p\nAFXw83OiRw93vL0Pqx3j718ec3NDdu/WzjLdv38l1q8X74cCqF7djrAw8c2MiYkh797JC20lJupi\nSIov4Z6c/I4DBx7RoEFZLlx4rn2CCoSFvSUtLRsfHyeuXtXco3P//htevEjDz89NVqd7aGgcT5+m\n4O9fSSctJU34x3skfn5uZGXlyv6Ba9UqTalS5pw5o1u+onPnSrJCYubmRnh7O3D5suqbyMTEkCFD\napKYKCYXLDfRDgUqdvJoIuR6JGlpObx6lUnFivIaqw4efCIU3tq06RG2tiZ07ap+7MyZt7CxMWHp\nUt3yJdnZmkue8/IU3Lz5liVL7uPvf4ZatQ5TsuQuGjT4hd69zzN1agibN0dw/vwrnj1L/yBGpFQp\nU378sQkDBlwgIUH1PWNgIDFnTj0mT76uNUbu6GhO3bol/1975x4XVZk38O/D3bsIgpJ4BwUV76Cl\n4iUvaV4SrUy3rNY227U2zdpyd933U++7m25tm1Zm2tVS85queCWveQ+RuwqIIKkoIiCgIDzvHzOT\niDBznjOjKHu+n8/5OJyZM/P8PHPmd353/vMftetB1SIRAs6cUctKu3KlZl1bAOfOFTJoUNXxOa18\n//0JJk6sujdWZT7/PI7nn1ef7rlgQTQzZvRQPs4WtV6RvPxyTz78UH3M7tSpXfjqq3jdF7mqW6tv\nXz9iYy9Wm1bZubMXKSlXNE961KNI6tVzobBQTZEUFd1QVj6xsZcJCVErCFu/Pp1x41rZfF15ueTV\nVw8yf35ota6G0tJyxo/fyeDBzfnjH+9M1lVN4uQkWLiwD8uWpbFzZ/X1HlOmtOfy5ets3mz7JuvJ\nJ9vxww8ZXLum5nbq1MmThATt38MHHqinNI8ETN9BFxcnpdYqJ05csWsMcWX27DnLgAH6xu9aWLUq\nmYkTtbm3VqxIYujQ1nh5VT+zpyrWrj1J+/aehIQ4po7GQq1WJAEBnvTu3Uwp/RZMAdTJk4P48kt9\nkxVbtmxIixb1+ekn7dkt4eEt2bWr+ru9Hj18iY7WNucdTIkCKq1RwJSUoKoU8vJKCAxUu7PTo0h+\n/vkSV6+WEhxs+7N27jxHbOxlXnml+orhvLwSRo7cwaxZnYiIsK2g7hecnQVffdUPIeAvf6m+9snN\nzYn/+Z8evPnmEU3vO3lyO779Vq2tkKurE23bNuDkSe0JA15eHly6pJ5sEhNzUWksRGZmAUOGtHBY\nvGD//ixCQ5srK8GKJCbmkJ9vcm/ZIi/vOhs3pvLkk7YD9BW5caOcRYtimDGjp95lVkmtViR/+EMP\nliyJVZ7XPmpUO5KSLpOWpnZHb2HcuAA2bkxVsmbCw/3Zvbv6IVbduzclOlp7S4zu3ZtqnsRowTTF\nTk2RXLtWRklJGQ0aaI+t6FEkUsL27Vk895w203/27MPMnh1itW4kM7OQ0aOj+PjjPvTt69g7tJrA\n2VnwzTf98fHxYOrUfVaD5y++GERcXC4//WT75iQwsBF+fnXZuVOtlqp9+4ZkZBQqZWF5eXmQk6Ou\nSHx86ip1HSgrk2RnF+Pnp5ZBWB15eddJScm12opEC6tWndCUvQXwxRexPP20WvYWwOLFx4mICKRJ\nEzVrxhq1VpHUq+dKjx6+fPJJ1c3prDFwYEsWL1Y/zkLXrj6sWaM9mOXh4ULPnr7VxkfAYpFoVyT+\n/vU5e1at9qBePW3jUCuTnV2Mj4/2L2Vs7GW6dlXvdfTpp8k880yApuB+Sko+X311irfftl68FRNz\nmaef3sfatYMJCFCL29xLuLgIvv12AJ6e7owd+6PVKYleXu48+qg/c+Zoq4+aPLkdK1akKbt5TW4t\n7fERAG9vfYqkpKRM2RrIyCigZUvH1JIA7N1rv3tr9epkBgywOjD2V3bvPou/fwMCAtSSBi5eLGLD\nhhSeflo9xlIdtVaRPPFER3Jyijl7Vi1w16iRO1On2p4RUB3167vx+OMd2LNH+4jcsLDmxMdf4urV\nqjOsnJ0FXbp4K/XfatGiPpmZ6opE1bUFcPHiNSVFkpZWgLe3R5W9saxx5sxVDh3K5okntI04ffvt\nY4wd29Km0tq6NYs//zmayMiHadFCe6uNewUXF8Hy5eHUr+/CuHE/2oxjfPbZgxw7dpm4OG39uiZP\nbq/s1gJTmvSBA9rdsaDfIlEdiAWmbtSOaCdvYc+eTPr316YEqiMhIYcmTTzo3Nn28K3ycsnKlclM\nmhSk/DkLF/7MH/7QyyHV/VCLFckLL3RVbocC8NhjAURFndFdOzJoUEsOHTqn5CLq1s2HH36oPjDf\nsWMTsrKuaq7Kd3YW+PrW1ZQmXBE9ri0wWSRNm2pXJOXlkvj4XGX3FsAnnyQxfbq2Cycvr4Q//zma\nV18NtukLX7r0FO++G8+BA6Po10//jIm7jaurEytXDsTd3Znx43fadCM9+2x72rRpwF/+os0a6dOn\nKefOFREdrVZfBNCvXzPl47y83MnJ0ZaZWJGSknLlOSaZmQUOq24Hk0XSr18Lu3+cN25M1dxPa/ny\nJJ56Sj1h5OjRCxQUlDB4cGvlY6uiViqSrl198fOrX+2oXWtMmqTWZLEyI0a0Uf7cIUNaceKEtfnY\nPkqB9mbN6pKTc81mgVll8vKuK2flgLprC+DAgWzCwrT9YLu43LwyN28+i69vHXr00NbbaOnSUzRr\nVsemiwtgyZKT/Pa3+1m1ahCzZtlu7V3TuLk5sWrVQJydBRMm7LTZWqRduwa8+24vJk/eo7kNyaxZ\nIaxerX4dubk50b27l9W6n6rQa5GUlJTVuEWSnV1EdnYRnTvbF2/buDGF0aNvH8hXFYcPn8PFReiK\nzSxefIxp09T6dlVHrVQk06Z1Y8mSGMrLSzCNz9S2NW3qSmhoc/7zn+QK+9V45JE2bNmiNms9LKw5\nhw9bApk3bts6dWrC0aPnqnzu5nZTjhYt6pCZWaAkO5Ti61vntveqfrv52RcvFuLj425jfZbNNGp3\n//5MBg70+fXv6ra5c7swe3bwr3+Xlxfx6adxTJ8eaPNYKEbKYqZM2caUKW0ZObKpzddv3ZpCWNhq\nHn+8JWvXDqBhwzJNn3O3t/bt3fjyyz4UF19n4sTNlJQUWn29s/M1li3rxzvvHCUx8ZzmzwgPb8aS\nJceV19ezZwNOnMjl6tV8bo7Ntb45O5fRqJEbubmFCt9D01ZaWoara7nSMZmZV/D3r0dV32m17Sbb\ntp2mb1/7WvDs2XOWoCAvmjatzs16qxzffZfApEkdlGSHUr79Np7hw9ta+Rzt1EpFMmlSJ5YuVQ+W\nT5gQxKZNKRQXqwecwZRu7ObmrNTmpFWrhpSWlpOVVX08o1Mnb1JStActTYF29VbjQoDU0b1N1bUF\nsGdPFv36+dls87BpUzrPPx98i7tg6dJEIiLa0aiRm6bPunTpGk8+uZ3PPx+kqWFkRsZV+vdfT1ZW\nIUePRhASor+zq6NxdXXirbd6cODAYxw+fJHJk6M0WZ5z5vQkP7+EBQu0D2d77bUeLFoUp8vd2a+f\nH/v2aZ+iCNC0aR327z+nq3ZLj0Xi6GA7QFJSDr172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- "text": [ - "" - ] - } - ], - "prompt_number": 19 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "a = np.random.randn(3)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 20 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "print (a.reshape([1,-1])).repeat(3, axis = 0)\n", - "print (a.reshape([1,-1])).repeat(3, axis = 0).sum(axis=1)" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "[[ 0.14499957 0.80336393 -0.2125369 ]\n", - " [ 0.14499957 0.80336393 -0.2125369 ]\n", - " [ 0.14499957 0.80336393 -0.2125369 ]]\n", - "[ 0.7358266 0.7358266 0.7358266]\n" - ] - } - ], - "prompt_number": 21 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "def DChalf(txlocP, txlocN, rxloc, sigma, I=1.):\n", - " rp = (txlocP.reshape([1,-1])).repeat(rxloc.shape[0], axis = 0)\n", - " rn = (txlocN.reshape([1,-1])).repeat(rxloc.shape[0], axis = 0)\n", - " rP = np.sqrt(((rxloc-rp)**2).sum(axis=1))\n", - " rN = np.sqrt(((rxloc-rn)**2).sum(axis=1))\n", - " return I/(sigma*2.*np.pi)*(1/rP-1/rN)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 22 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "data_analP = DChalf(np.r_[-200, 0, 0.],np.r_[+200, 0, 0.], xyz_rxP, sighalf)\n", - "data_analN = DChalf(np.r_[-200, 0, 0.],np.r_[+200, 0, 0.], xyz_rxN, sighalf)\n", - "data_anal = data_analP-data_analN" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 23 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "Data_anal = data_anal.reshape((21, 21), order = 'F')\n", - "Data = data.reshape((21, 21), order = 'F')\n", - "X = xyz_rxM[:,0].reshape((21, 21), order = 'F')\n", - "Y = xyz_rxM[:,1].reshape((21, 21), order = 'F')" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 24 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "fig, ax = plt.subplots(1,2, figsize = (12, 5))\n", - "vmin = np.r_[data, data_anal].min()\n", - "vmax = np.r_[data, data_anal].max()\n", - "dat0 = ax[0].contourf(X, Y, Data, 60, vmin = vmin, vmax = vmax)\n", - "dat1 = ax[1].contourf(X, Y, Data_anal, 60, vmin = vmin, vmax = vmax)\n", - "cb0 = plt.colorbar(dat1, orientation = 'horizontal', ax = ax[0])\n", - "cb1 = plt.colorbar(dat1, orientation = 'horizontal', ax = ax[1])" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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E2/tcCuAVeRvpTwJ4DFU34a8qpX5NRM4ppfbX6wXAo817bb91UfaNOtv2s207JLrR0CXK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\nGac8J78G4EtF5FMA7gTwbz32jVmOOwF8CwCIyA0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- "text": [ - "" - ] - } - ], - "prompt_number": 25 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 49 + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: pylab import has clobbered these variables: ['linalg']\n", + "`%matplotlib` prevents importing * from pylab and numpy\n" + ] } ], - "metadata": {} + "source": [ + "from SimPEG import *\n", + "import simpegDCIP as DC\n", + "%pylab inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Step1 Generate mesh " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "cs = 25.\n", + "hx = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]\n", + "hy = [(cs,7, -1.3),(cs,21),(cs,7, 1.3)]\n", + "hz = [(cs,7, -1.3),(cs,20)]" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN')" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "blk1 = Utils.ModelBuilder.getIndicesBlock(np.r_[-50, 75, -50], np.r_[75, -50, -150], mesh.gridCC)\n", + "sighalf = 1e-3\n", + "sigma = np.ones(mesh.nC)*sighalf\n", + "sigma[blk1] = 1e-1\n", + "sigmahomo = np.ones(mesh.nC)*sighalf" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(,\n", + " )" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mesh.plotSlice(sigma, normal='X', grid=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "xtemp = np.linspace(-150, 150, 21)\n", + "ytemp = np.linspace(-150, 150, 21)\n", + "xyz_rxM = Utils.ndgrid(xtemp-10., ytemp, np.r_[0.])\n", + "xyz_rxN = Utils.ndgrid(xtemp+10., ytemp, np.r_[0.])\n", + "# xyz_rxM = Utils.ndgrid(xtemp, ytemp, np.r_[0.])" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(xyz_rxP[:,0], xyz_rxP[:,1], 'k.')\n", + "plt.plot(xyz_rxM[:,0], xyz_rxM[:,1], 'r.')\n", + "plt.plot(xyz_rxN[:,0], xyz_rxN[:,1], 'g.')" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,1, figsize = (5,5))\n", + "mesh.plotSlice(sigma, grid=True, ax = ax)\n", + "ax.plot(xyz_rxP[:,0],xyz_rxP[:,1], 'w.')\n", + "ax.plot(xyz_rxN[:,0],xyz_rxN[:,1], 'r.', ms = 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rx" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "rx = DC.RxDipole(xyz_rxM, xyz_rxN)\n", + "tx = DC.SrcDipole([rx], [-200, 0, -12.5],[+200, 0, -12.5])" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "txList = []\n", + "txList.append(DC.SrcDipole([rx], [-200, 0, -12.5],[+200, 0, -12.5]))\n", + "txList.append(DC.SrcDipole([rx], [-200, 0, -12.5],[+100, 0, -12.5]))" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[,\n", + " ]" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "txList" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# survey = DC.SurveyDC([tx])\n", + "survey = DC.SurveyDC(txList)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# survey.unpair()\n", + "problem = DC.ProblemDC_CC(mesh)\n", + "problem.pair(survey)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "try:\n", + " from pymatsolver import MumpsSolver\n", + " problem.Solver = MumpsSolver\n", + "except Exception, e:\n", + " problem.Solver = SolverLU" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 1.25 s, sys: 177 ms, total: 1.42 s\n", + "Wall time: 970 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "dataP = survey.dpred(sigmahomo)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "data = survey.dpred(sigma)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "Data = (data/dataP).reshape((21,21,2), order='F')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.pcolor(Data[:,:,0].T)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "u1 = problem.fields(sigma)\n", + "u2 = problem.fields(sigmahomo)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# Msig1 = Utils.sdiag(1./(mesh.aveF2CC.T*(1./sigma)))\n", + "# Msig2 = Utils.sdiag(1./(mesh.aveF2CC.T*(1./sigmahomo)))" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "j1 = Msig1*mesh.cellGrad*u1[tx, 'phi_sol']\n", + "j2 = Msig2*mesh.cellGrad*u2[tx, 'phi_sol']" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# us = u1-u2\n", + "# js = j1-j2" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(-300, 0)" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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WhWvyqlOnOBcudKNLl1L4+gYwbtxpkpN1rEebg6OjCdu3V2X+fFc+/vg+Q4aE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\nXbqs06lEVCpzwsICiIm5yoQJWZeO14alpTkLFjRn4MAonbNxO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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mesh.plotSlice(mesh.aveF2CCV*j1, vType='CCv', normal='Y', view='vec', streamOpts={\"density\":3, \"color\":'w'})\n", + "xlim(-300, 300)\n", + "ylim(-300, 0)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'js' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mmesh\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplotSlice\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmesh\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0maveF2CCV\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0mjs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mvType\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'CCv'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnormal\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'Y'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mview\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'vec'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstreamOpts\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m{\u001b[0m\u001b[0;34m\"density\"\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;36m3\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m\"color\"\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m'w'\u001b[0m\u001b[0;34m}\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mxlim\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m300\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m300\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mylim\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m-\u001b[0m\u001b[0;36m300\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mNameError\u001b[0m: name 'js' is not defined" + ] + } + ], + "source": [ + "mesh.plotSlice(mesh.aveF2CCV*js, vType='CCv', normal='Y', view='vec', streamOpts={\"density\":3, \"color\":'w'})\n", + "xlim(-300, 300)\n", + "ylim(-300, 0)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "a = np.random.randn(3)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "print (a.reshape([1,-1])).repeat(3, axis = 0)\n", + "print (a.reshape([1,-1])).repeat(3, axis = 0).sum(axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def DChalf(txlocP, txlocN, rxloc, sigma, I=1.):\n", + " rp = (txlocP.reshape([1,-1])).repeat(rxloc.shape[0], axis = 0)\n", + " rn = (txlocN.reshape([1,-1])).repeat(rxloc.shape[0], axis = 0)\n", + " rP = np.sqrt(((rxloc-rp)**2).sum(axis=1))\n", + " rN = np.sqrt(((rxloc-rn)**2).sum(axis=1))\n", + " return I/(sigma*2.*np.pi)*(1/rP-1/rN)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "data_analP = DChalf(np.r_[-200, 0, 0.],np.r_[+200, 0, 0.], xyz_rxP, sighalf)\n", + "data_analN = DChalf(np.r_[-200, 0, 0.],np.r_[+200, 0, 0.], xyz_rxN, sighalf)\n", + "data_anal = data_analP-data_analN" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "Data_anal = data_anal.reshape((21, 21), order = 'F')\n", + "Data = data.reshape((21, 21), order = 'F')\n", + "X = xyz_rxM[:,0].reshape((21, 21), order = 'F')\n", + "Y = xyz_rxM[:,1].reshape((21, 21), order = 'F')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "fig, ax = plt.subplots(1,2, figsize = (12, 5))\n", + "vmin = np.r_[data, data_anal].min()\n", + "vmax = np.r_[data, data_anal].max()\n", + "dat0 = ax[0].contourf(X, Y, Data, 60, vmin = vmin, vmax = vmax)\n", + "dat1 = ax[1].contourf(X, Y, Data_anal, 60, vmin = vmin, vmax = vmax)\n", + "cb0 = plt.colorbar(dat1, orientation = 'horizontal', ax = ax[0])\n", + "cb1 = plt.colorbar(dat1, orientation = 'horizontal', ax = ax[1])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] } - ] -} \ No newline at end of file + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/notebooks/DCinverse.ipynb b/notebooks/DCinverse.ipynb index a430fe4a..d4a8e1c1 100644 --- a/notebooks/DCinverse.ipynb +++ b/notebooks/DCinverse.ipynb @@ -1,7 +1,7 @@ { "metadata": { "name": "", - "signature": "sha256:8f8d2c689741d8d56146a511dd2c67e7956c3d1fe0dcef0cf550c0b5c5f9c52d" + "signature": "sha256:9107d99fbfb21822b71a94de16f078e82c12cf73d2e85893fd26dfda06c8ce14" }, "nbformat": 3, "nbformat_minor": 0, @@ -13,7 +13,7 @@ "collapsed": false, "input": [ "from SimPEG import *\n", - "import simpegDC as DC\n", + "import simpegDCIP as DC\n", "%pylab inline\n", "from pymatsolver import MumpsSolver" ], @@ -33,7 +33,7 @@ "text": [ "Vendor: Continuum Analytics, Inc.\n", "Package: mkl\n", - "Message: trial mode expires in 20 days\n" + "Message: trial mode expires in 29 days\n" ] } ], @@ -156,9 +156,9 @@ { "metadata": {}, "output_type": "pyout", - "prompt_number": 8, + "prompt_number": 7, "text": [ - "[]" + "[]" ] }, { @@ -166,11 +166,11 @@ "output_type": "display_data", "png": 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Ri9L3M1Mbz8vlfARYExH/lr7fBRwFHNyvrqRPAecAnwNeHhH/VdSspp3DOQi4\nMfd9MzAL2JY+j9mS4j11cu+doqSu/H55ReWO179tx5sZb2KbBo2XLe+VVya/tO1DWd08C7gv930z\ncGSJnFlk/XLPupKOAzZHxHd2HYwqNmUDjqTrgZk9it4bEVdP1XbNzGw3ZY/8lB7dJD0DeC/Z4bRS\n9adswImI10+ctZstwJzc99lko+mW9Dkf31L0I2tyn+8hmw+amU2Ve9L7mr5Zk7S9RM66tfDNtf0y\nuvvWOYw/atQrZ6z/nV5Q90XAXOC2NLuZDXxL0hER8WCvRjThkFp+RFwFXC7pArKp3DxgXUSEpEcl\nHQmsA04Elhf94NHp/ct4sDGzqTfWz+T7nqEpM+C87KjsNebis7szbiZbbDUXuJ9scdaSrpxVwFJg\npaSFwCMRsVXSQ73qRsR64ICxypLuoYnncCS9iWzA2B/4vKRbIuKYiLhT0pXAnWR/zKfFrlUNpwGf\nAJ4BrI6Ia2touplZtcoMOBOIiO2SlgLXAdOASyNivaRTU/mKiFgtabGkjcATwEn96vbazETt8L3U\nzMymwNBWqd04iS5toXwvtap0cu+dwqzx+f3yisodr3/bjjcz3sQ2DRovW94rr0x+aTuG+WP1auWA\nY2bWGkM4pNYUHnDMzJrMA46ZmVXCA46ZmVWiRQOOV6mZmU2Boa1S+9wkurTjvEqtMp3ce6cwa3x+\nv7yicsfr37bjzYw3sU2DxsuW98ork19ai2Y4dT2ewMzMnmJaOcMxM2uNbXU3YHg84JiZNVmLLvz0\nogEzsykwtEUDl02iS3u7Fw1UppN77xRmjc/vl1dU7nj923a8mfEmtmnQeNnyXnll8ktr0aKBVg44\nZmat4QHHzMwq4QHHzMwq4QHHzMwq4QHHzMwq4etwzMysEr4Op7l8HY6ZNcHQrsM5exJd2vt9HU5l\nOrn3TmHW+Px+eUXljte/bcebGW9imwaNly3vlVcm/6molQOOmVlreNGAmZlVokUDjh9PYGbWZNsm\n8epB0iJJd0naIOmMgpzlqfw2SQsmqivpnJR7q6QvSprTb1c84JiZNdmOSby6SJoGXAQsAuYDSyQd\n1pWzGDgkIuYBpwCXlKj7oYh4aUQcDlwFvL/frnjAMTNrsu2TeO3uCGBjRGyKiG3ASuC4rpxjgcsA\nIuImYIakmf3qRsRjufr7AD/qtys+h2Nm1mTDOYczC7gv930zcGSJnFnAQf3qSvoAcCLwE2Bhv0Z4\nhmNm1mR4mYdBAAAMNklEQVTDOYdT9mKega/diYizIuL5wCeAv++X6xmOmVmTlbnTwA/WwgNr+2Vs\nAfIn9OeQzVT65cxOOdNL1AW4HFjdrxG+04CZ2RQY2p0GTpxEl/bJ8XcakLQ38D3gtcD9wDpgSUSs\nz+UsBpZGxGJJC4ELI2Jhv7qS5kXEhlT/dOCIiDixqFmtnOF0cu+dwqzx+f3yisodr3/bjjcz3sQ2\nDRovW94rr0x+aUM4hxMR2yUtBa4DpgGXpgHj1FS+IiJWS1osaSPwBHBSv7rpp8+V9Mtk87DvA3/Y\nrx2tHHDMzFpjSHeLjohrgGu6Yiu6vi8tWzfFf3eQNnjRgJmZVcIzHDOzJmvR4wk84JiZNVmL7qXm\nAcfMrMk84JiZWSX8iGkzM6uEz+GYmVklWnRIrZZl0ZL+RtL69ByFz0p6Vq5sWXrmwl2S3pCLv1zS\n7answ3W028yscsO5W3Qj1HUdzheAX42IlwJ3A8sAJM0Hjid75sIi4GJJY7dnuAQ4OT2rYZ6kRdU3\n28ysYkN6AFsT1H4vNUlvAt4cEW+VtAzYGRHnp7Jrye4ScS/wpYg4LMVPAI6KiD/o8Xu+l5qZ1W5o\n91JbMIku7RYNZfvD1oRzOO8ErkifDwJuzJWNPY9hG+PvTrolxXvq5N47RUld+f3yisodr3/bjjcz\n3sQ2DRovW94rr0x+aQ0+RDaoKRtwJF0PzOxR9N6IuDrlnAX8PCIuH+a21+Q+3wMcPMwfNzPrck96\nX9M3a5I84EwsIl7fr1zSO4DFZLe8HlP0PIYt6XM+vqXot49O71/Gg42ZTb2xfibf99ju6lqltgh4\nD3BcRPwsV7QKOEHS0yQdDMwD1kXEA8Cjko5MiwhOBK6qvOFmZlVr0aKBus7h/APwNOD6tAjtGxFx\nWkTcKelK4E6yieRpsWtVw2lkjzB9BrA6Iq6tvtlmZhXzhZ97Ji1tLir7IPDBHvFvAS+eynaZmTWO\nz+GYmVklPOCYmVklGnxOZlAecMzMmszncMzMrBI+pGZmZpXwgGNmZpVo0Tmcuu4WbWZmZeyYxKsH\nSYvSY182SDqjIGd5Kr9N0oKJ6vZ71EwvHnDMzJosJvHqImkacBHZY1/mA0skHdaVsxg4JF0neQrZ\nI2EmqtvzUTNFPOCYmbXfEcDGiNgUEduAlcBxXTnHApcBRMRNwAxJM/vVjYjrI2Jnqn8T4+95uRsP\nOGZm7TcLuC/3fezRL2VyDipRF7JHzazu14jaH8A2bH4Am5k1wdAewNbrGNnENcdtX9KbgUUR8a70\n/a3AkRFxei7nauC8iPh6+n4DcAYwt0Tds4CXRcSb+7WqlavUOrn3TmHW+Px+eUXljte/bcebGW9i\nmwaNly3vlVcmf7jWpleh7ke/zGH8Qy175Yw9HmZ6v7oFj5rpqZUDjplZe5RZF/3f02vM2d0JNwPz\nJM0F7geOB5Z05awClgIrJS0EHomIrZIeKqqbe9TMa7oeNdOTBxwzs0bb8ys/I2K7pKXAdcA04NKI\nWC/p1FS+IiJWS1osaSPwBHBSv7rpp3s+aqaoHR5wzMwabThXfkbENcA1XbEVXd+Xlq2b4oWPmunF\nA46ZWaO15942HnDMzBqtPfe28YBjZtZoHnDMzKwSPqRmZmaVaM8Mx7e2MTOzSniGY2bWaD6kZmZm\nlWjPITUPOGZmjeYZjpmZVcIzHDMzq4RnOGZmVgnPcMzMrBKe4ZiZWSU8wzEzs0p4hmNmZpXwDMfM\nzCrRngFHEVF3G4ZKUrt2yMxGUkRoT38j68/+ZRI13zqU7Q9bK2c4ndx7pzBrfH6/vKJyx+vftuPN\njDexTYPGy5b3yiuT/1TUygHHzKw92nNIzQOOmVmjeZWamZlVoj0znFoewCbpHEm3SbpV0hclzcmV\nLZO0QdJdkt6Qi79c0u2p7MN1tNvMrHrbJ/HanaRFqV/dIOmMgpzlqfw2SQsmqivpLZLukLRD0ssm\n2pO6nvj5oYh4aUQcDlwFvB9A0nzgeGA+sAi4WNLYSotLgJMjYh4wT9KiGto95e6puwFDMOr74PbX\nrw37MDzbJvEaT9I04CKyfnU+sETSYV05i4FDUh97ClmfO1Hd24E3AV8psye1DDgR8Vju6z7Aj9Ln\n44ArImJbRGwCNgJHSjoQ2Dci1qW8fwbeWFV7q7Sp7gYMwaa6G7CHNtXdgD20qe4GDMGmuhvQKEOZ\n4RwBbIyITRGxDVhJ1t/mHQtcBhARNwEzJM3sVzci7oqIu8vuSW3ncCR9ADgR+CnZDgEcBNyYS9sM\nzCIbsjfn4ltS3Mys5YZyDmcWcF/u+2bgyBI5s8j65YnqljJlMxxJ16dzLt2v/wEQEWdFxPOBjwMX\nTlU7zMxG21BmOGUviJ/ai0UjotYX8Hzgu+nzmcCZubJryUbSmcD6XHwJ8JGC3wu//PLLr7pfQ+of\nh7J9YCFwbe77MuCMrpyPACfkvt8FHFCy7hrgZRPtTy2H1CTNi4gN6etxwC3p8yrgckkXkE3l5gHr\nIiIkPSrpSGAd2aG45b1+u4m3czAzm4wh9mc3ky22mgvcT7Y4a0lXzipgKbBS0kLgkYjYKumhEnWh\nxOyornM450r6ZWAH8H3gDwEi4k5JVwJ3ks0LT4tdN3s7DfgE8AxgdURcW3mrzcxGUERsl7QUuA6Y\nBlwaEeslnZrKV0TEakmLJW0EngBO6lcXQNKbyP7xvz/weUm3RMQxRe1o3c07zcysmeq6DmePjfrF\no5L+RtL6tA+flfSsXFnj25/aU3jR16jsQ16ZC+OaQNLHJG2VdHsutl9aqHO3pC9ImpEr6/l3URdJ\ncyStSf/tfFfSu1N8JPZB0i9Iuin1PXdKOjfFR6L9tap70cAenEzbN/f5dOCj6fN84FZgOjCX7Fqe\nsZncOuCI9Hk1sKjG9r8e2Ct9Pg84b5Tan9rwK8ChdJ0wHKV9yLV5Wmrn3NTuW4HD6m5XQVtfBSwA\nbs/FPgT8Rfp8xgT/Pe1Vc/tnAoenz/sA3wMOG7F9+MX0vjfZpRy/MUrtr+s1sjOcGPGLRyPi+ojY\nmb7eBMxOn0ei/QBRfNHXyOxDTpkL4xohIr4KPNwVfvKivfQ+9ufa6+/iCGoUEQ9ExK3p8+PAerJF\nQqO0Dz9JH59G9o+Vhxmh9tdlZAccyC4elfSfwDuAc1P4IMZfJJq/eKmpF4++k+xf+zCa7e82ivtQ\ndNHbqDggIramz1vJlrNC8d9FI6SVTwvI/tE1MvsgaS9Jt5K1c01E3MEItb8ujb5btKTryabf3d4b\nEVdHxFnAWZLOJLt49KRKGziBidqfcs4Cfh4Rl1fauJLK7ENLtGb1TESE+j/5thH7Kmkf4DPAH0fE\nY9KuVbVN34d0dOLwdO71OklHd5U3uv11afSAExGvL5l6ObtmCFuAObmy2WT/otjCrsNWY/Ete9rG\nfiZqv6R3AIuB1+bCjWk/DPR3kNeofSipu81zGP+v0qbbKmlmRDyQDl0+mOK9/i5q/zOXNJ1ssPlk\nRFyVwiO1DwAR8WNJnwdezgi2v2oje0hN0rzc1+6LR0+Q9DRJB7Pr4tEHgEclHansn1Inkt2puhbK\n7nb9HuC4iPhZrmgk2t9D/qKvUdyHJy+Mk/Q0sovbVtXcpkGsAt6ePr+dXX+uPf8uamjfk9Lf/aXA\nnRGRv63VSOyDpP3HVqBJegbZAqBbGJH216ruVQuTfQGfJrs19q1k/1J6Xq7svWQn5u4CfisXf3mq\nsxFYXnP7NwD3kv2Hegtw8Si1P7XnTWTnPX4KPABcM2r70LU/x5CtmNoILKu7PX3aeQXZFd8/T3/+\nJwH7ATcAdwNfAGZM9HdRY/t/A9iZ/t8d++9/0ajsA/Bi4Nup/d8B3pPiI9H+Ol++8NPMzCoxsofU\nzMxstHjAMTOzSnjAMTOzSnjAMTOzSnjAMTOzSnjAMTOzSnjAMTOzSnjAMTOzSnjAMQMkvSI9DO/p\nkp6ZHgw2v+52mbWJ7zRglkg6B/gF4BnAfRFxfs1NMmsVDzhmSbqD8c1k94Z7Zfh/DrOh8iE1s132\nB55J9gTZZ9TcFrPW8QzHLJG0iuzZSi8EDoyI02tuklmrNPoBbGZVkfQ24P9FxEpJewH/IemoiFhb\nc9PMWsMzHDMzq4TP4ZiZWSU84JiZWSU84JiZWSU84JiZWSU84JiZWSU84JiZWSU84JiZWSU84JiZ\nWSX+P3faf3379MqEAAAAAElFTkSuQmCC\n", "text": [ - "" + "" ] } ], - "prompt_number": 8 + "prompt_number": 7 }, { "cell_type": "code", @@ -179,7 +179,7 @@ "expmap = Maps.ExpMap(mesh)\n", "m2to3 = Maps.Map2Dto3D(mesh,normal='Y')\n", "imap = Maps.IdentityMap(mesh)\n", - "problem = DC.ProblemDC(mesh, mapping= imap )\n", + "problem = DC.ProblemDC_CC(mesh, mapping= imap )\n", "problem.Solver = MumpsSolver\n", "problem.pair(survey)" ], @@ -204,16 +204,16 @@ "output_type": "pyout", "prompt_number": 10, "text": [ - "[,\n", - " ]" + "[,\n", + " ]" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], @@ -283,7 +283,7 @@ "\n", " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", "-----------------------------------------------------------------------------\n", - " 0 6.59e+00 1.84e+03 1.05e+04 7.11e+04 2.15e+03 0 " + " 0 7.28e+00 1.86e+03 1.05e+04 7.84e+04 2.20e+03 0 " ] }, { @@ -291,7 +291,7 @@ "stream": "stdout", "text": [ "\n", - " 1 6.59e+00 1.98e+02 1.07e+04 7.10e+04 1.89e+02 0 " + " 1 7.28e+00 6.57e+02 1.06e+04 7.80e+04 1.15e+03 1 " ] }, { @@ -299,7 +299,7 @@ "stream": "stdout", "text": [ "\n", - " 2 1.32e+00 1.70e+02 1.07e+04 1.43e+04 2.63e+02 0 " + " 2 1.46e+00 5.58e+02 1.06e+04 1.61e+04 1.03e+03 3 Skip BFGS " ] }, { @@ -307,7 +307,7 @@ "stream": "stdout", "text": [ "\n", - " 3 1.32e+00 9.16e+01 1.07e+04 1.42e+04 1.81e+02 0 " + " 3 1.46e+00 1.36e+02 1.08e+04 1.59e+04 1.69e+02 0 Skip BFGS " ] }, { @@ -315,7 +315,7 @@ "stream": "stdout", "text": [ "\n", - "------------------------------------------------------------------" + " 4 2.91e-01 8.24e+01 1.07e+04 3.20e+03 2.05e+02 0 " ] }, { @@ -323,10 +323,37 @@ "stream": "stdout", "text": [ "\n", - "0 : ft = 1.4181e+04 <= alp*descent = 1.4181e+04\n", - "1 : maxIterLS = 10 <= iterLS = 10\n", - "------------------------- End Linesearch -------------------------\n", - "The linesearch got broken. Boo.\n" + " 5 2.91e-01 4.61e+01 1.07e+04 3.16e+03 1.35e+02 0 Skip BFGS " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 6 5.83e-02 4.40e+01 1.07e+04 6.65e+02 1.16e+02 0 " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 7 5.83e-02 3.99e+01 1.07e+04 6.61e+02 1.35e+02 0 " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 4.7528e+00 <= tolF*(1+|f0|) = 7.8397e+03\n", + "0 : |xc-x_last| = 4.6314e-01 <= tolX*(1+|x0|) = 1.8172e-13\n", + "0 : |proj(x-g)-x| = 1.3494e+02 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 1.3494e+02 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 7 <= iter = 7\n", + "------------------------- DONE! -------------------------\n" ] } ], @@ -346,15 +373,15 @@ "output_type": "pyout", "prompt_number": 14, "text": [ - "" + "" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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FaPcBbhJMN+hLOgL7QNIC9sHA2YLfhfYpyqy3kRDukzUoRkROJ6zSyYyz+QAs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\nRuE4juMUxN1jHcdxnIL4qyfHcRynIF3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AY8DLwM/N4ue+64HjJb0GHBvWC16G4ziO0146yZvIzEbn2b4OOCWxvhBYmKPe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\ngOOBt9s6WTGageM4jpOHzho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"text": [ - "" + "" ] } ], @@ -385,21 +412,30 @@ "output_type": "pyout", "prompt_number": 16, "text": [ - "[,\n", - " ]" + "[,\n", + " ]" ] }, { "metadata": {}, "output_type": "display_data", - "png": 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"text": [ - "" + "" ] } ], "prompt_number": 16 }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 16 + }, { "cell_type": "code", "collapsed": false, diff --git a/notebooks/IPinverse.ipynb b/notebooks/IPinverse.ipynb new file mode 100644 index 00000000..56e000d4 --- /dev/null +++ b/notebooks/IPinverse.ipynb @@ -0,0 +1,703 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: pylab import has clobbered these variables: ['linalg']\n", + "`%matplotlib` prevents importing * from pylab and numpy\n" + ] + } + ], + "source": [ + "from SimPEG import *\n", + "import simpegDCIP as DC\n", + "%pylab inline\n", + "from pymatsolver import MumpsSolver" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "cs = 12.5\n", + "nc = 500/cs+1\n", + "hx = [(cs,7, -1.3),(cs,nc),(cs,7, 1.3)]\n", + "hy = [(cs,7, -1.3),(cs,int(nc/2+1)),(cs,7, 1.3)]\n", + "hz = [(cs,7, -1.3),(cs,int(nc/2+1))]" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " ---- 3-D TensorMesh ---- \n", + " x0: -541.97\n", + " y0: -416.97\n", + " z0: -548.22\n", + " nCx: 55\n", + " nCy: 35\n", + " nCz: 28\n", + " hx: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 41*12.50, 16.25, 21.13, 27.46, 35.70, 46.41, 60.34, 78.44\n", + " hy: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 21*12.50, 16.25, 21.13, 27.46, 35.70, 46.41, 60.34, 78.44\n", + " hz: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 21*12.50\n" + ] + } + ], + "source": [ + "mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN')\n", + "print mesh" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "sighalf = 1e-2\n", + "sigma = np.ones(mesh.nC)*sighalf\n", + "p0 = np.r_[-50., 50., -50.]\n", + "p1 = np.r_[ 50.,-50., -150.]\n", + "blk_ind = Utils.ModelBuilder.getIndicesBlock(p0, p1, mesh.gridCC)\n", + "sigma[blk_ind] = 1e-3" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "eta = np.zeros_like(sigma)\n", + "eta[blk_ind] = 0.1" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "sigmaInf = sigma.copy()\n", + "sigma0 = sigma*(1-eta)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(-600.0, 600.0, -600.0, 0.0)" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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O6OnXBNH/A8wG7i4n2/yD7cttb5N0K7AN2A9c3pC5Lwc+ARxPcfX5sEQfETHTqsyzt71f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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dat = mesh.plotSlice(eta, normal='Y')\n", + "plt.colorbar(dat[0])\n", + "axis('equal')" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "nElecs = 21\n", + "x_temp = np.linspace(-250, 250, nElecs)\n", + "aSpacing = x_temp[1]-x_temp[0]\n", + "y_temp = 0.\n", + "xyz = Utils.ndgrid(x_temp, np.r_[y_temp], np.r_[0.])" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "63\n" + ] + } + ], + "source": [ + "srcList = DC.Examples.WennerArray.getSrcList(nElecs,aSpacing)\n", + "survey = DC.SurveyDC(srcList)\n", + "print len(survey.srcList)" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "DATA = Survey.Data(survey)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "tx0 = srcList[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "'c5f9fd3e-9e73-4561-b2c2-52a2747439e8'" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tx0.uid" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import SimPEG" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "SimPEG.Survey.Data??" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(1,1, figsize = (6.5,5))\n", + "indz = 22\n", + "dat = mesh.plotSlice(sigma, grid=True, ax = ax, ind=indz)\n", + "ax.set_xlim(-300, 300)\n", + "ax.set_ylim(-300, 300)\n", + "cb = plt.colorbar(dat[0])\n", + "ax.set_title('Depth at '+str(mesh.vectorCCz[indz])+' m')\n", + "\n", + "txLocs = np.array([[tx.loc[0][0], tx.loc[1][0]] for tx in survey.srcList]).flatten()\n", + "ax.plot(txLocs, txLocs*0, 'w.', ms = 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "expmap = Maps.ExpMap(mesh)\n", + "m2to3 = Maps.Map2Dto3D(mesh,normal='Y')\n", + "imap = Maps.IdentityMap(mesh)\n", + "problem = DC.ProblemDC_CC(mesh, mapping= imap )\n", + "problem.Solver = MumpsSolver\n", + "try:\n", + " problem.pair(survey)\n", + "except Exception, e:\n", + " survey.unpair()\n", + " problem.pair(survey)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 6.49 s, sys: 705 ms, total: 7.2 s\n", + "Wall time: 4.94 s\n" + ] + } + ], + "source": [ + "%%time\n", + "phi0 = survey.dpred(sigma0)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " ---- 3-D TensorMesh ---- \n", + " x0: -541.97\n", + " y0: -416.97\n", + " z0: -548.22\n", + " nCx: 55\n", + " nCy: 35\n", + " nCz: 28\n", + " hx: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 41*12.50, 16.25, 21.13, 27.46, 35.70, 46.41, 60.34, 78.44\n", + " hy: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 21*12.50, 16.25, 21.13, 27.46, 35.70, 46.41, 60.34, 78.44\n", + " hz: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 21*12.50\n" + ] + } + ], + "source": [ + "print mesh" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "phiInf = survey.dpred(sigmaInf)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "phiIP_true = phi0-phiInf" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# F = problem.fields(mesh, survey)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "surveyIP = DC.SurveyIP(srcList)\n", + "problemIP = DC.ProblemIP(mesh, sigma=sigma)\n", + "problemIP.pair(surveyIP)\n", + "problemIP.Solver = MumpsSolver" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[,\n", + " ]" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ii6d4gXA1OYnMrV2BiMfhPe+B6emVHsmFhxYIjSEkzDE620qfZ7+jexO+2aOk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\n2pzcUy7ssfb2qKpRxgzoQ1Wno5SWB85KkvlVTs6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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "datasyn = surveyIP.dpred(eta)\n", + "surveyIP.makeSyntheticData(eta,std=0.02,force=True)\n", + "plot(np.c_[surveyIP.dobs,datasyn])" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "problemIP.mapping = imap" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "dmis = DataMisfit.l2_DataMisfit(surveyIP)\n", + "dmis.Wd = 1./abs(phi0)*1e3\n", + "reg = Regularization.Tikhonov(mesh,mapping=imap)\n", + "# opt = Optimization.InexactGaussNewton(maxIter=4,tolX=1e-15)\n", + "opt = Optimization.ProjectedGNCG(maxIter=3,tolX=1e-15)\n", + "opt.remember('xc')\n", + "invProb = InvProblem.BaseInvProblem(dmis, reg, opt)\n", + "beta = Directives.BetaEstimate_ByEig(beta0_ratio=1e-1)\n", + "betaSched = Directives.BetaSchedule(coolingFactor=5, coolingRate=4)\n", + "inv = Inversion.BaseInversion(invProb, directiveList=[beta,betaSched])" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "reg.alpha_s = 1e-4\n", + "reg.alpha_x = 1.\n", + "reg.alpha_z = 1.\n", + "reg.alpha_y = 1." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "opt.upper = Inf\n", + "opt.lower = 0." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "SimPEG.InvProblem will set Regularization.mref to m0.\n", + "SimPEG.InvProblem is setting bfgsH0 to the inverse of the eval2Deriv.\n", + " ***Done using same solver as the problem***\n", + "=============================== Projected GNCG ===============================\n", + " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", + "-----------------------------------------------------------------------------\n", + " 0 5.84e+00 9.43e+01 0.00e+00 9.43e+01 1.69e+03 0 \n", + " 1 5.84e+00 7.43e+00 6.13e-03 7.46e+00 3.04e+02 0 \n", + " 2 5.84e+00 3.10e+00 1.33e-02 3.18e+00 2.65e+02 0 Skip BFGS \n", + " 3 5.84e+00 2.13e+00 1.82e-02 2.24e+00 2.49e+02 0 Skip BFGS \n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 9.4407e-01 <= tolF*(1+|f0|) = 9.5287e+00\n", + "0 : |xc-x_last| = 4.4997e-02 <= tolX*(1+|x0|) = 1.0000e-15\n", + "0 : |proj(x-g)-x| = 2.4936e+02 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 2.4936e+02 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 3 <= iter = 3\n", + "------------------------- DONE! -------------------------\n" + ] + } + ], + "source": [ + "m0 = np.ones(problemIP.mapping.nP)*1e-10\n", + "mopt = inv.run(m0)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " ---- 3-D TensorMesh ---- \n", + " x0: -541.97\n", + " y0: -416.97\n", + " z0: -548.22\n", + " nCx: 55\n", + " nCy: 35\n", + " nCz: 28\n", + " hx: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 41*12.50, 16.25, 21.13, 27.46, 35.70, 46.41, 60.34, 78.44\n", + " hy: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 21*12.50, 16.25, 21.13, 27.46, 35.70, 46.41, 60.34, 78.44\n", + " hz: 78.44, 60.34, 46.41, 35.70, 27.46, 21.13, 16.25, 21*12.50\n" + ] + } + ], + "source": [ + "print mesh" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(-600.0, 600.0, -600.0, 0.0)" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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QZID/UIbDk/Bhf/cTppaO5x9ZzsPl7cwv7U9peVIRlGbBOmBBKNVWQ+lAWHHO+awt72BB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\nDZXWxBQqndg9VN6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ys5ejWSpy8QrCcRynCYYG8x+jg7/5PUO//X2t7NWu/XMZOSg4K03q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\n4yavLtDJAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "colorbar(mesh.plotSlice(mopt, normal='Y', ind=17, grid=True, gridOpts={'alpha': 0.2, 'color':'black'})[0])\n", + "axis('equal')" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# sigma_est = expmap * m2to3 * mopt" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "dpred = surveyIP.dpred(mopt)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[,\n", + " ]" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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QwpFj7sSc+N8r468vBvZJKV+PH88npRwv+tOVwPh4vNAo/lucDQuiXF1Mfj8Y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\nysEzAAfagkiPS++6D+sB0mLTOFB+gIbGhlbH3APV5eV6HYz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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(np.c_[dpred,surveyIP.dobs], '.-')" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/notebooks/SimPEG Tutorial - DC Fwr Problem.ipynb b/notebooks/SimPEG Tutorial - DC Fwr Problem.ipynb new file mode 100644 index 00000000..b7769364 --- /dev/null +++ b/notebooks/SimPEG Tutorial - DC Fwr Problem.ipynb @@ -0,0 +1,441 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Objective:** \n", + "\n", + "In this tutorial we will create a simple two-sphere model and simulate DC Resistivity data for various transmitter-receiver configurations.\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Efficiency Warning: Interpolation will be slow, use setup.py!\n", + "\n", + " python setup.py build_ext --inplace\n", + " \n" + ] + } + ], + "source": [ + "from SimPEG import *\n", + "import simpegDCIP as DC\n", + "import scipy.interpolate as interpolation\n", + "import time\n", + "import re" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\dominiquef.MIRAGEOSCIENCE\\AppData\\Local\\Continuum\\Anaconda\\lib\\site-packages\\IPython\\kernel\\__init__.py:13: ShimWarning: The `IPython.kernel` package has been deprecated. You should import from ipykernel or jupyter_client instead.\n", + " \"You should import from ipykernel or jupyter_client instead.\", ShimWarning)\n", + "WARNING: " + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "pylab import has clobbered these variables: ['linalg']\n", + "`%matplotlib` prevents importing * from pylab and numpy\n" + ] + } + ], + "source": [ + "%matplotlib notebook\n", + "%pylab inline" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false, + "scrolled": true + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(-200, 200)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# First we need to create a mesh and a model.\n", + "\n", + "# This is our mesh\n", + "dx = 5.\n", + "\n", + "hxind = [(dx,15,-1.3), (dx, 75), (dx,15,1.3)]\n", + "hyind = [(dx,15,-1.3), (dx, 10), (dx,15,1.3)]\n", + "hzind = [(dx,15,-1.3),(dx, 15)]\n", + "\n", + "mesh = Mesh.TensorMesh([hxind, hyind, hzind], 'CCN')\n", + "\n", + "# Define our model\n", + "bckgr = 1e-2\n", + "cond = 1e-1\n", + "resis = 1e-3\n", + "zloc = -50.\n", + "xloc = 50.\n", + "yloc = 0.\n", + "radi = 25.\n", + "\n", + "# Set background conductivity\n", + "model = np.ones(mesh.nC) * bckgr\n", + "\n", + "# First anomaly (conductor)\n", + "ind = Utils.ModelBuilder.getIndicesSphere([-xloc,yloc,zloc],radi,mesh.gridCC)\n", + "model[ind] = cond\n", + "\n", + "# Second anomaly (resistor)\n", + "ind = Utils.ModelBuilder.getIndicesSphere([xloc,yloc,zloc],radi,mesh.gridCC)\n", + "model[ind] = resis\n", + "\n", + "# Get index of the center\n", + "indy = int(mesh.nCy/2)\n", + "indz = int(np.argmin( np.abs(mesh.vectorCCz - zloc) ))\n", + "\n", + "# Plot the model for reference\n", + "# Define core mesh extent\n", + "xlim = 200\n", + "zlim = 200\n", + "\n", + "plt.figure()\n", + "ax = plt.subplot(1,2,1, aspect='equal')\n", + "mesh.plotSlice(np.log10(model), ax =ax, normal = 'Y', ind = indy,grid=True)\n", + "ax.set_title('E-W section at '+str(mesh.vectorCCy[indy])+' m')\n", + "plt.gca().set_aspect('equal', adjustable='box')\n", + "plt.xlim([-xlim,xlim])\n", + "plt.ylim([-zlim,0])\n", + "\n", + "ax = plt.subplot(1,2,2, aspect='equal')\n", + "mesh.plotSlice(np.log10(model), ax =ax, normal = 'Z', ind = indz,grid=True)\n", + "ax.set_title('Depth at '+str(mesh.vectorCCz[indz])+' m')\n", + "plt.gca().set_aspect('equal', adjustable='box')\n", + "plt.xlim([-xlim,xlim])\n", + "plt.ylim([-xlim,xlim])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now that we have model in 3D, we can define a survey.\n", + "There area various ground DC configurations used in the field.\n", + "We can explore two survey types here: pole-dipole (pdp) and dipole-dipole (dpdp).\n", + "In both cases we need to specify three important parameter.\n", + "\n", + "a: Seperation (m) between the transmitter and receivers\n", + "\n", + "b: Dipole seperation (m) of the receiver (and transmitter for dpdp)\n", + "\n", + "n: Number of receiver dipoles along line\n", + "\n", + "We also need to give a starting and end point for the survey.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(-200, 200)" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Survey parameters\n", + "a = 30.\n", + "b = 30.\n", + "n = 20 # Integer number of rx dipoles\n", + "\n", + "# Specify the survey type: \"pdp\" | \"dpdp\"\n", + "stype = 'dpdp'\n", + "\n", + "# Then specify the end points of the survey. Let's keep it simple for now and survey above the anomalies, top of the mesh\n", + "ends = [(-175,0),(175,0)]\n", + "ends = np.c_[np.asarray(ends),np.ones(2).T*mesh.vectorNz[-1]]\n", + "\n", + "# Snap the endpoints to the grid. Easier to create 2D section.\n", + "indx = Utils.closestPoints(mesh, ends )\n", + "locs = np.c_[mesh.gridCC[indx,0],mesh.gridCC[indx,1],np.ones(2).T*mesh.vectorNz[-1]]\n", + "\n", + "# We will handle the geometry of the survey for you and create all the combination of tx-rx along line\n", + "[Tx, Rx] = DC.gen_DCIPsurvey(locs, mesh, stype, a, b, n)\n", + "\n", + "# Here is an example for the first tx-rx array\n", + "fig, ax = plt.subplots(1,1, figsize = (6.5,5))\n", + "mesh.plotSlice(np.log10(model), ax =ax, normal = 'Z', ind = indz,grid=True)\n", + "ax.set_title('Depth at '+str(mesh.vectorCCz[indz])+' m')\n", + "plt.gca().set_aspect('equal', adjustable='box')\n", + "\n", + "plt.scatter(Tx[0][0,:],Tx[0][1,:],s=20,c='g')\n", + "plt.scatter(Rx[0][:,0::3],Rx[0][:,1::3],s=20,c='y')\n", + "plt.xlim([-xlim,xlim])\n", + "plt.ylim([-xlim,xlim])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The next section will specify all the parameters used to forward model the data" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "#Set boundary conditions\n", + "mesh.setCellGradBC('neumann')\n", + "\n", + "# Define the differential operators needed for the DC problem\n", + "Div = mesh.faceDiv\n", + "Grad = mesh.cellGrad\n", + "Msig = Utils.sdiag(1./(mesh.aveF2CC.T*(1./model)))\n", + "\n", + "A = Div*Msig*Grad\n", + "\n", + "# Change one corner to deal with nullspace\n", + "A[0,0] = 1\n", + "A = sp.csc_matrix(A)\n", + "\n", + "# We will solve the system iteratively, so a pre-conditioner is helpful\n", + "# This is simply a Jacobi preconditioner (inverse of the main diagonal)\n", + "dA = A.diagonal()\n", + "P = sp.spdiags(1/dA,0,A.shape[0],A.shape[0])\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Transmitter 8 of 9 -> Time:0.990999937057 sec Transmitter 8 of 9\n", + "Forward completed\n" + ] + } + ], + "source": [ + "# Now we can solve the system for all the transmitters\n", + "# We want to store the data\n", + "data = []\n", + "\n", + "# There is probably a more elegant way to do this, but we can just for-loop through the transmitters\n", + "for ii in range(len(Tx)):\n", + " \n", + " start_time = time.time() # Let's time the calculations\n", + " \n", + " #print(\"Transmitter %i / %i\\r\" % (ii+1,len(Tx)))\n", + " \n", + " # Select dipole locations for receiver\n", + " rxloc_M = np.asarray(Rx[ii][:,0:3])\n", + " rxloc_N = np.asarray(Rx[ii][:,3:])\n", + " \n", + " # Number of receivers\n", + " nrx = rxloc_M.shape[0]\n", + " \n", + " # For usual cases \"dpdp\" or \"gradient\"\n", + " if not re.match(stype,'pdp'): \n", + " inds = Utils.closestPoints(mesh, np.asarray(Tx[ii]).T )\n", + " RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*( [-1,1] / mesh.vol[inds] ) \n", + " \n", + " else: \n", + " \n", + " # Create an \"inifinity\" pole\n", + " tx = np.squeeze(Tx[ii][:,0:1])\n", + " tinf = tx + np.array([dl_x,dl_y,0])*dl_len*2\n", + " inds = Utils.closestPoints(mesh, np.c_[tx,tinf].T)\n", + " RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*( [-1] / mesh.vol[inds] ) \n", + "\n", + "\n", + " # Iterative Solve\n", + " Ainvb = sp.linalg.bicgstab(P*A,P*RHS, tol=1e-5)\n", + "\n", + " # We now have the potential everywhere\n", + " phi = mkvc(Ainvb[0])\n", + " \n", + " # Solve for phi on pole locations\n", + " P1 = mesh.getInterpolationMat(rxloc_M, 'CC')\n", + " P2 = mesh.getInterpolationMat(rxloc_N, 'CC')\n", + " \n", + " # Compute the potential difference\n", + " dtemp = (P1*phi - P2*phi)*np.pi\n", + " \n", + " data.append( dtemp ) \n", + " print '\\rTransmitter {0} of {1} -> Time:{2} sec'.format(ii,len(Tx),time.time()- start_time),\n", + " \n", + "print 'Transmitter {0} of {1}'.format(ii,len(Tx))\n", + "print 'Forward completed'\n", + " \n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Once we have our problem, we can use the inversion tools in SimPEG to run our inversion:" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/png": 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d8uKe/SJ/mSTs7z8BNWvdhYwSnQa7bSmC2qrpEGubRwwAZKcxVCx9zzq/UIoX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\n6g0bKS0tTfqZKYrSOrIZBOkIszRtmSUyJqeCIOXXJIjS4dm5cyfrN27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E3HWj92AHaxgO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\nxYGiKIqiKAn8f1A9ajP5f0M7AAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Let's just convert the 3D format into 2D (distance along line) and plot\n", + "[Tx2d, Rx2d] = DC.convertObs_DC3D_to_2D(Tx,Rx)\n", + "\n", + "fig, ax = plt.subplots(1,1, figsize = (8,7))\n", + "plt.gca().set_aspect('equal', adjustable='box')\n", + "\n", + "# Plot the location of the spheres for reference\n", + "circle1=plt.Circle((-xloc-Tx[0][0,0],zloc),radi,color='w',fill=False, lw=3)\n", + "circle2=plt.Circle((xloc-Tx[0][0,0],zloc),radi,color='k',fill=False, lw=3)\n", + "ax.add_artist(circle1)\n", + "ax.add_artist(circle2)\n", + "\n", + "# Add the speudo section\n", + "DC.plot_pseudoSection(Tx2d,Rx2d,data,mesh.vectorNz[-1],stype)\n", + "\n", + "plt.xlim([0,2*xlim])\n", + "plt.ylim([-zlim,0])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Back in the days (not so long ago really), geophysicists used to interpret DCR data directly from pseudo-section. Hopefully this example will convince you that interpretating speudo-section is really tricky, arguably impossible.\n", + "Fortunately for us, we now have inversion techniques to make sense of the data." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "125.0\n" + ] + } + ], + "source": [ + "print -xloc-Tx[0][0,0]" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 2", + "language": "python", + "name": "python2" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.11" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/notebooks/mappingDC.png b/notebooks/mappingDC.png new file mode 100644 index 00000000..a9869979 Binary files /dev/null and b/notebooks/mappingDC.png differ diff --git a/simpegDC/BaseDC.py b/simpegDC/BaseDC.py deleted file mode 100644 index 76671433..00000000 --- a/simpegDC/BaseDC.py +++ /dev/null @@ -1,233 +0,0 @@ -from SimPEG import * - - -class SrcDipole(Survey.BaseSrc): - """A dipole source, locA and locB are moved to the closest cell-centers""" - - current = 1 - loc = None - _rhsDict = None - - def __init__(self, rxList, locA, locB, **kwargs): - self.loc = (locA, locB) - super(SrcDipole, self).__init__(rxList, **kwargs) - - def getRhs(self, mesh): - if getattr(self, '_rhsDict', None) is None: - self._rhsDict = {} - if mesh not in self._rhsDict: - pts = [self.loc[0], self.loc[1]] - inds = Utils.closestPoints(mesh, pts) - q = np.zeros(mesh.nC) - q[inds] = - self.current * ( np.r_[1., -1.] / mesh.vol[inds] ) - self._rhsDict[mesh] = q - return self._rhsDict[mesh] - - -class RxDipole(Survey.BaseRx): - """A dipole source, locA and locB are moved to the closest cell-centers""" - def __init__(self, locsM, locsN, **kwargs): - locs = (locsM, locsN) - assert locsM.shape == locsN.shape, 'locs must be the same shape.' - super(RxDipole, self).__init__(locs, 'dipole', storeProjections=False, **kwargs) - - @property - def nD(self): - """Number of data in the receiver.""" - return self.locs[0].shape[0] - - def getP(self, mesh): - P0 = mesh.getInterpolationMat(self.locs[0], self.projGLoc) - P1 = mesh.getInterpolationMat(self.locs[1], self.projGLoc) - return P0 - P1 - - -class SurveyDC(Survey.BaseSurvey): - """ - **SurveyDC** - - Geophysical DC resistivity data. - - """ - - def __init__(self, srcList, **kwargs): - self.srcList = srcList - Survey.BaseSurvey.__init__(self, **kwargs) - self._rhsDict = {} - self._Ps = {} - - def projectFields(self, u): - """ - Predicted data. - - .. math:: - d_\\text{pred} = Pu(m) - """ - P = self.getP(self.prob.mesh) - return P*mkvc(u) - - def getRhs(self, mesh): - if mesh not in self._rhsDict: - RHS = np.array([src.getRhs(mesh) for src in self.srcList]).T - self._rhsDict[mesh] = RHS - return self._rhsDict[mesh] - - def getP(self, mesh): - if mesh in self._Ps: - return self._Ps[mesh] - - P_src = [sp.vstack([rx.getP(mesh) for rx in src.rxList]) for src in self.srcList] - - self._Ps[mesh] = sp.block_diag(P_src) - return self._Ps[mesh] - - - - -class ProblemDC(Problem.BaseProblem): - """ - **ProblemDC** - - Geophysical DC resistivity problem. - - """ - - surveyPair = SurveyDC - Solver = Solver - - def __init__(self, mesh, **kwargs): - Problem.BaseProblem.__init__(self, mesh) - self.mesh.setCellGradBC('neumann') - Utils.setKwargs(self, **kwargs) - - - deleteTheseOnModelUpdate = ['_A', '_Msig', '_dMdsig'] - - @property - def Msig(self): - if getattr(self, '_Msig', None) is None: - sigma = self.curModel.transform - Av = self.mesh.aveF2CC - self._Msig = Utils.sdiag(1/(self.mesh.dim * Av.T * (1/sigma))) - return self._Msig - - @property - def dMdsig(self): - if getattr(self, '_dMdsig', None) is None: - sigma = self.curModel.transform - Av = self.mesh.aveF2CC - dMdprop = self.mesh.dim * Utils.sdiag(self.Msig.diagonal()**2) * Av.T * Utils.sdiag(1./sigma**2) - self._dMdsig = lambda Gu: Utils.sdiag(Gu) * dMdprop - return self._dMdsig - - @property - def A(self): - """ - Makes the matrix A(m) for the DC resistivity problem. - - :param numpy.array m: model - :rtype: scipy.csc_matrix - :return: A(m) - - .. math:: - c(m,u) = A(m)u - q = G\\text{sdiag}(M(mT(m)))Du - q = 0 - - Where M() is the mass matrix and mT is the model transform. - """ - if getattr(self, '_A', None) is None: - D = self.mesh.faceDiv - G = self.mesh.cellGrad - self._A = D*self.Msig*G - # Remove the null space from the matrix. - self._A[-1,-1] /= self.mesh.vol[-1] - self._A = self._A.tocsc() - return self._A - - def fields(self, m): - self.curModel = m - A = self.A - Ainv = self.Solver(A, **self.solverOpts) - Q = self.survey.getRhs(self.mesh) - Phi = Ainv * Q - return Phi - - def Jvec(self, m, v, u=None): - """ - :param numpy.array m: model - :param numpy.array v: vector to multiply - :param numpy.array u: fields - :rtype: numpy.array - :return: Jv - - .. math:: - c(m,u) = A(m)u - q = G\\text{sdiag}(M(mT(m)))Du - q = 0 - - \\nabla_u (A(m)u - q) = A(m) - - \\nabla_m (A(m)u - q) = G\\text{sdiag}(Du)\\nabla_m(M(mT(m))) - - Where M() is the mass matrix and mT is the model transform. - - .. math:: - J = - P \left( \\nabla_u c(m, u) \\right)^{-1} \\nabla_m c(m, u) - - J(v) = - P ( A(m)^{-1} ( G\\text{sdiag}(Du)\\nabla_m(M(mT(m))) v ) ) - """ - # Set current model; clear dependent property $\mathbf{A(m)}$ - self.curModel = m - sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$ - if u is None: - # Run forward simulation if $u$ not provided - u = self.fields(self.curModel) - else: - shp = (self.mesh.nC, self.survey.nSrc) - u = u.reshape(shp, order='F') - - D = self.mesh.faceDiv - G = self.mesh.cellGrad - # Derivative of model transform, $\deriv{\sigma}{\m}$ - dsigdm_x_v = self.curModel.transformDeriv * v - - # Take derivative of $C(m,u)$ w.r.t. $m$ - dCdm_x_v = np.empty_like(u) - # loop over fields for each source - for i in range(self.survey.nSrc): - # Derivative of inner product, $\left(\mathbf{M}_{1/\sigma}^f\right)^{-1}$ - dAdsig = D * self.dMdsig( G * u[:,i] ) - dCdm_x_v[:, i] = dAdsig * dsigdm_x_v - - # Take derivative of $C(m,u)$ w.r.t. $u$ - dCdu = self.A - # Solve for $\deriv{u}{m}$ - dCdu_inv = self.Solver(dCdu, **self.solverOpts) - P = self.survey.getP(self.mesh) - J_x_v = - P * mkvc( dCdu_inv * dCdm_x_v ) - return J_x_v - - def Jtvec(self, m, v, u=None): - - self.curModel = m - sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$ - if u is None: - u = self.fields(self.curModel) - - shp = (self.mesh.nC, self.survey.nSrc) - u = u.reshape(shp, order='F') - P = self.survey.getP(self.mesh) - PT_x_v = (P.T*v).reshape(shp, order='F') - - D = self.mesh.faceDiv - G = self.mesh.cellGrad - A = self.A - mT_dm = self.mapping.deriv(m) - - dCdu = A.T - Ainv = self.Solver(dCdu, **self.solverOpts) - w = Ainv * PT_x_v - - Jtv = 0 - for i, ui in enumerate(u.T): # loop over each column - Jtv += self.dMdsig( G * ui ).T * ( D.T * w[:,i] ) - - Jtv = - mT_dm.T * ( Jtv ) - return Jtv diff --git a/simpegDCIP/BaseDC.py b/simpegDCIP/BaseDC.py new file mode 100644 index 00000000..33800188 --- /dev/null +++ b/simpegDCIP/BaseDC.py @@ -0,0 +1,853 @@ +from SimPEG import * + + + +class FieldsDC_CC(Problem.Fields): + knownFields = {'phi_sol':'CC'} + aliasFields = { + 'phi' : ['phi_sol','CC','_phi'], + 'e' : ['phi_sol','F','_e'], + 'j' : ['phi_sol','F','_j'] + } + + def __init__(self,mesh,survey,**kwargs): + super(FieldsDC_CC, self).__init__(mesh, survey, **kwargs) + + def startup(self): + self._cellGrad = self.survey.prob.mesh.cellGrad + self._Mfinv = self.survey.prob.mesh.getFaceInnerProduct(invMat=True) + + def _phi(self, phi_sol, srcList): + phi = phi_sol + # for i, src in enumerate(srcList): + # phi_p = src.phi_p(self.survey.prob) + # if phi_p is not None: + # phi[:,i] += phi_p + return phi + + def _e(self, phi_sol, srcList): + e = -self._cellGrad*phi_sol + # for i, src in enumerate(srcList): + # e_p = src.e_p(self.survey.prob) + # if e_p is not None: + # e[:,i] += e_p + return e + + def _j(self, phi_sol, srcList): + + j = -self._Mfinv*self.survey.prob.Msig*self._cellGrad*phi_sol + # for i, src in enumerate(srcList): + # j_p = src.j_p(self.survey.prob) + # if j_p is not None: + # j[:,i] += j_p + return j + + + +class SrcDipole(Survey.BaseSrc): + """A dipole source, locA and locB are moved to the closest cell-centers""" + + current = 1 + loc = None + # _rhsDict = None + + def __init__(self, rxList, locA, locB, **kwargs): + self.loc = (locA, locB) + super(SrcDipole, self).__init__(rxList, **kwargs) + + def eval(self, prob): + # Recompute rhs + # if getattr(self, '_rhsDict', None) is None: + # self._rhsDict = {} + # if mesh not in self._rhsDict: + pts = [self.loc[0], self.loc[1]] + inds = Utils.closestPoints(prob.mesh, pts) + q = np.zeros(prob.mesh.nC) + q[inds] = - self.current * ( np.r_[1., -1.] / prob.mesh.vol[inds] ) + # self._rhsDict[mesh] = q + # return self._rhsDict[mesh] + return q + + +class RxDipole(Survey.BaseRx): + """A dipole source, locA and locB are moved to the closest cell-centers""" + def __init__(self, locsM, locsN, **kwargs): + locs = (locsM, locsN) + assert locsM.shape == locsN.shape, 'locs must be the same shape.' + super(RxDipole, self).__init__(locs, 'dipole', storeProjections=False, **kwargs) + + @property + def nD(self): + """Number of data in the receiver.""" + return self.locs[0].shape[0] + + def getP(self, mesh): + P0 = mesh.getInterpolationMat(self.locs[0], self.projGLoc) + P1 = mesh.getInterpolationMat(self.locs[1], self.projGLoc) + return P0 - P1 + + +class SurveyDC(Survey.BaseSurvey): + """ + **SurveyDC** + + Geophysical DC resistivity data. + + """ + + def __init__(self, srcList, **kwargs): + self.srcList = srcList + Survey.BaseSurvey.__init__(self, **kwargs) + # self._rhsDict = {} + self._Ps = {} + + def projectFields(self, u): + """ + Predicted data. + + .. math:: + d_\\text{pred} = Pu(m) + """ + P = self.getP(self.prob.mesh) + return P*mkvc(u[self.srcList, 'phi_sol']) + + def getP(self, mesh): + if mesh in self._Ps: + return self._Ps[mesh] + + P_src = [sp.vstack([rx.getP(mesh) for rx in src.rxList]) for src in self.srcList] + + self._Ps[mesh] = sp.block_diag(P_src) + return self._Ps[mesh] + + +class ProblemDC_CC(Problem.BaseProblem): + """ + **ProblemDC** + + Geophysical DC resistivity problem. + + """ + + surveyPair = SurveyDC + Solver = Solver + fieldsPair = FieldsDC_CC + Ainv = None + + def __init__(self, mesh, **kwargs): + Problem.BaseProblem.__init__(self, mesh) + self.mesh.setCellGradBC('neumann') + Utils.setKwargs(self, **kwargs) + + + deleteTheseOnModelUpdate = ['_A', '_Msig', '_dMdsig'] + + @property + def Msig(self): + if getattr(self, '_Msig', None) is None: + sigma = self.curModel.transform + Av = self.mesh.aveF2CC + self._Msig = Utils.sdiag(1/(self.mesh.dim * Av.T * (1/sigma))) + return self._Msig + + @property + def dMdsig(self): + if getattr(self, '_dMdsig', None) is None: + sigma = self.curModel.transform + Av = self.mesh.aveF2CC + dMdprop = self.mesh.dim * Utils.sdiag(self.Msig.diagonal()**2) * Av.T * Utils.sdiag(1./sigma**2) + self._dMdsig = lambda Gu: Utils.sdiag(Gu) * dMdprop + return self._dMdsig + + @property + def A(self): + """ + Makes the matrix A(m) for the DC resistivity problem. + + :param numpy.array m: model + :rtype: scipy.csc_matrix + :return: A(m) + + .. math:: + c(m,u) = A(m)u - q = G\\text{sdiag}(M(mT(m)))Du - q = 0 + + Where M() is the mass matrix and mT is the model transform. + """ + if getattr(self, '_A', None) is None: + D = self.mesh.faceDiv + G = self.mesh.cellGrad + self._A = D*self.Msig*G + # Remove the null space from the matrix. + self._A[0,0] /= self.mesh.vol[0] + self._A = self._A.tocsc() + return self._A + + def getRHS(self): + # if self.mesh not in self._rhsDict: + RHS = np.array([src.eval(self) for src in self.survey.srcList]).T + # self._rhsDict[mesh] = RHS + # return self._rhsDict[mesh] + return RHS + + def fields(self, m): + + F = self.fieldsPair(self.mesh, self.survey) + self.curModel = m + A = self.A + self.Ainv = self.Solver(A, **self.solverOpts) + RHS = self.getRHS() + Phi = self.Ainv * RHS + Srcs = self.survey.srcList + F[Srcs, 'phi_sol'] = Phi + + return F + + def Jvec(self, m, v, u=None): + """ + :param numpy.array m: model + :param numpy.array v: vector to multiply + :param numpy.array u: fields + :rtype: numpy.array + :return: Jv + + .. math:: + c(m,u) = A(m)u - q = G\\text{sdiag}(M(mT(m)))Du - q = 0 + + \\nabla_u (A(m)u - q) = A(m) + + \\nabla_m (A(m)u - q) = G\\text{sdiag}(Du)\\nabla_m(M(mT(m))) + + Where M() is the mass matrix and mT is the model transform. + + .. math:: + J = - P \left( \\nabla_u c(m, u) \\right)^{-1} \\nabla_m c(m, u) + + J(v) = - P ( A(m)^{-1} ( G\\text{sdiag}(Du)\\nabla_m(M(mT(m))) v ) ) + """ + # Set current model; clear dependent property $\mathbf{A(m)}$ + self.curModel = m + sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$ + if u is None: + # Run forward simulation if $u$ not provided + u = self.fields(self.curModel)[self.survey.srcList, 'phi_sol'] + else: + u = u[self.survey.srcList, 'phi_sol'] + + D = self.mesh.faceDiv + G = self.mesh.cellGrad + # Derivative of model transform, $\deriv{\sigma}{\m}$ + dsigdm_x_v = self.curModel.transformDeriv * v + + # Take derivative of $C(m,u)$ w.r.t. $m$ + dCdm_x_v = np.empty_like(u) + # loop over fields for each source + for i in range(self.survey.nSrc): + # Derivative of inner product, $\left(\mathbf{M}_{1/\sigma}^f\right)^{-1}$ + dAdsig = D * self.dMdsig( G * u[:,i] ) + dCdm_x_v[:, i] = dAdsig * dsigdm_x_v + + # Take derivative of $C(m,u)$ w.r.t. $u$ + dA_du = self.A + # Solve for $\deriv{u}{m}$ + # dCdu_inv = self.Solver(dCdu, **self.solverOpts) + if self.Ainv is None: + self.Ainv = self.Solver(dA_du, **self.solverOpts) + + P = self.survey.getP(self.mesh) + Jv = - P * mkvc( self.Ainv * dCdm_x_v ) + return Jv + + def Jtvec(self, m, v, u=None): + + self.curModel = m + sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$ + if u is None: + # Run forward simulation if $u$ not provided + u = self.fields(self.curModel)[self.survey.srcList, 'phi_sol'] + else: + u = u[self.survey.srcList, 'phi_sol'] + + shp = u.shape + P = self.survey.getP(self.mesh) + PT_x_v = (P.T*v).reshape(shp, order='F') + + D = self.mesh.faceDiv + G = self.mesh.cellGrad + dA_du = self.A + mT_dm = self.mapping.deriv(m) + + # We probably always need this due to the linesearch .. (?) + self.Ainv = self.Solver(dA_du.T, **self.solverOpts) + # if self.Ainv is None: + # self.Ainv = self.Solver(dCdu, **self.solverOpts) + + w = self.Ainv * PT_x_v + + Jtv = 0 + for i, ui in enumerate(u.T): # loop over each column + Jtv += self.dMdsig( G * ui ).T * ( D.T * w[:,i] ) + + Jtv = - mT_dm.T * ( Jtv ) + return Jtv + +def readUBC_DC2DModel(fileName): + + from SimPEG import np, mkvc + """ + Read UBC GIF 2DTensor model and generate 2D Tensor model in simpeg + + Input: + :param fileName, path to the UBC GIF 2D model file + + Output: + :param SimPEG TensorMesh 2D object + :return + + Created on Thu Nov 12 13:14:10 2015 + + @author: dominiquef + + """ + + # Open fileand skip header... assume that we know the mesh already + + obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!') + + dim = np.array(obsfile[0].split(),dtype=float) + + temp = np.array(obsfile[1].split(),dtype=float) + + if len(temp) > 1: + model = np.zeros(dim) + + for ii in range(len(obsfile)-1): + mm = np.array(obsfile[ii+1].split(),dtype=float) + model[:,ii] = mm + + model = model[:,::-1] + + else: + + if len(obsfile[1:])==1: + mm = np.array(obsfile[1:].split(),dtype=float) + + else: + mm = np.array(obsfile[1:],dtype=float) + + # Permute the second dimension to flip the order + model = mm.reshape(dim[1],dim[0]) + + model = model[::-1,:] + model = np.transpose(model, (1, 0)) + + model = mkvc(model) + + + return model + +def plot_pseudoSection(Tx,Rx,data,z0, stype): + + from SimPEG import np, mkvc + from scipy.interpolate import griddata + from matplotlib.colors import LogNorm + import pylab as plt + import re + """ + Read list of 2D tx-rx location and plot a speudo-section of apparent + resistivity. + + Assumes flat topo for now... + + Input: + :param d2D, z0 + :switch stype -> Either 'pdp' (pole-dipole) | 'dpdp' (dipole-dipole) + + Output: + :figure scatter plot overlayed on image + + Created on Mon December 7th, 2015 + + @author: dominiquef + + """ + #d2D = np.asarray(d2D) + + midl = [] + midz = [] + rho = [] + + for ii in range(len(Tx)): + # Get distances between each poles + rC1P1 = np.abs(Tx[ii][0] - Rx[ii][:,0]) + rC2P1 = np.abs(Tx[ii][1] - Rx[ii][:,0]) + rC1P2 = np.abs(Tx[ii][1] - Rx[ii][:,1]) + rC2P2 = np.abs(Tx[ii][0] - Rx[ii][:,1]) + rP1P2 = np.abs(Rx[ii][:,1] - Rx[ii][:,0]) + + # Compute apparent resistivity + if re.match(stype,'pdp'): + rho = np.hstack([rho, data[ii] * 2*np.pi * rC1P1 * ( rC1P1 + rP1P2 ) / rP1P2] ) + + elif re.match(stype,'dpdp'): + rho = np.hstack([rho, data[ii] * 2*np.pi / ( 1/rC1P1 - 1/rC2P1 - 1/rC1P2 + 1/rC2P2 ) ]) + + Cmid = (Tx[ii][0] + Tx[ii][1])/2 + Pmid = (Rx[ii][:,0] + Rx[ii][:,1])/2 + + midl = np.hstack([midl, ( Cmid + Pmid )/2 ]) + midz = np.hstack([midz, -np.abs(Cmid-Pmid)/2 + z0 ]) + + + # Grid points + grid_x, grid_z = np.mgrid[np.min(midl):np.max(midl), np.min(midz):np.max(midz)] + grid_rho = griddata(np.c_[midl,midz], np.log10(abs(1/rho.T)), (grid_x, grid_z), method='linear') + + + #plt.subplot(2,1,2) + plt.imshow(grid_rho.T, extent = (np.min(midl),np.max(midl),np.min(midz),np.max(midz)), origin='lower', alpha=0.8) + cbar = plt.colorbar(format = '%.2f',fraction=0.02) + cmin,cmax = cbar.get_clim() + ticks = np.linspace(cmin,cmax,3) + cbar.set_ticks(ticks) + + # Plot apparent resistivity + plt.scatter(midl,midz,s=50,c=np.log10(abs(1/rho.T))) + +def gen_DCIPsurvey(endl, mesh, stype, a, b, n): + + from SimPEG import np + import re + """ + Load in endpoints and survey specifications to generate Tx, Rx location + stations. + + Assumes flat topo for now... + + Input: + :param endl -> input endpoints [x1, y1, z1, x2, y2, z2] + :object mesh -> SimPEG mesh object + :switch stype -> "dpdp" (dipole-dipole) | "pdp" (pole-dipole) | 'gradient' + : param a, n -> pole seperation, number of rx dipoles per tx + + Output: + :param Tx, Rx -> List objects for each tx location + Lines: P1x, P1y, P1z, P2x, P2y, P2z + + Created on Wed December 9th, 2015 + + @author: dominiquef + + """ + def xy_2_r(x1,x2,y1,y2): + r = np.sqrt( np.sum((x2 - x1)**2 + (y2 - y1)**2) ) + return r + + ## Evenly distribute electrodes and put on surface + # Mesure survey length and direction + dl_len = xy_2_r(endl[0,0],endl[1,0],endl[0,1],endl[1,1]) + + dl_x = ( endl[1,0] - endl[0,0] ) / dl_len + dl_y = ( endl[1,1] - endl[0,1] ) / dl_len + + nstn = np.floor( dl_len / a ) + + # Compute discrete pole location along line + stn_x = endl[0,0] + np.array(range(int(nstn)))*dl_x*a + stn_y = endl[0,1] + np.array(range(int(nstn)))*dl_y*a + + # Create line of P1 locations + M = np.c_[stn_x, stn_y, np.ones(nstn).T*mesh.vectorNz[-1]] + + # Create line of P2 locations + N = np.c_[stn_x+a*dl_x, stn_y+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]] + + ## Build list of Tx-Rx locations depending on survey type + # Dipole-dipole: Moving tx with [a] spacing -> [AB a MN1 a MN2 ... a MNn] + # Pole-dipole: Moving pole on one end -> [A a MN1 a MN2 ... MNn a B] + Tx = [] + Rx = [] + + if not re.match(stype,'gradient'): + + for ii in range(0, int(nstn)-1): + + + if re.match(stype,'dpdp'): + tx = np.c_[M[ii,:],N[ii,:]] + elif re.match(stype,'pdp'): + tx = np.c_[M[ii,:],M[ii,:]] + + #Rx.append(np.c_[M[ii+1:indx,:],N[ii+1:indx,:]]) + + # Current elctrode seperation + AB = xy_2_r(tx[0,1],endl[1,0],tx[1,1],endl[1,1]) + + # Number of receivers to fit + nstn = np.min([np.floor( (AB - b) / a ) , n]) + + # Check if there is enough space, else break the loop + if nstn <= 0: + continue + + # Compute discrete pole location along line + stn_x = N[ii,0] + dl_x*b + np.array(range(int(nstn)))*dl_x*a + stn_y = N[ii,1] + dl_y*b + np.array(range(int(nstn)))*dl_y*a + + # Create receiver poles + # Create line of P1 locations + P1 = np.c_[stn_x, stn_y, np.ones(nstn).T*mesh.vectorNz[-1]] + + # Create line of P2 locations + P2 = np.c_[stn_x+a*dl_x, stn_y+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]] + + Rx.append(np.c_[P1,P2]) + Tx.append(tx) + +#============================================================================== +# elif re.match(stype,'dpdp'): +# +# for ii in range(0, int(nstn)-2): +# +# indx = np.min([ii+n+1,nstn]) +# Tx.append(np.c_[M[ii,:],N[ii,:]]) +# Rx.append(np.c_[M[ii+2:indx,:],N[ii+2:indx,:]]) +#============================================================================== + + elif re.match(stype,'gradient'): + + # Gradient survey only requires Tx at end of line and creates a square + # grid of receivers at in the middle at a pre-set minimum distance + Tx.append(np.c_[M[0,:],N[-1,:]]) + + # Get the edge limit of survey area + min_x = endl[0,0] + dl_x * b + min_y = endl[0,1] + dl_y * b + + max_x = endl[1,0] - dl_x * b + max_y = endl[1,1] - dl_y * b + + box_l = np.sqrt( (min_x - max_x)**2 + (min_y - max_y)**2 ) + box_w = box_l/2. + + nstn = np.floor( box_l / a ) + + # Compute discrete pole location along line + stn_x = min_x + np.array(range(int(nstn)))*dl_x*a + stn_y = min_y + np.array(range(int(nstn)))*dl_y*a + + # Define number of cross lines + nlin = int(np.floor( box_w / a )) + lind = range(-nlin,nlin+1) + + ngrad = nstn * len(lind) + + rx = np.zeros([ngrad,6]) + for ii in range( len(lind) ): + + # Move line in perpendicular direction by dipole spacing + lxx = stn_x - lind[ii]*a*dl_y + lyy = stn_y + lind[ii]*a*dl_x + + + M = np.c_[ lxx, lyy , np.ones(nstn).T*mesh.vectorNz[-1]] + N = np.c_[ lxx+a*dl_x, lyy+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]] + + rx[(ii*nstn):((ii+1)*nstn),:] = np.c_[M,N] + + Rx.append(rx) + + else: + print """stype must be either 'pdp', 'dpdp' or 'gradient'. """ + + + + return Tx, Rx + +def writeUBC_DCobs(fileName,Tx,Rx,d,wd, dtype): + + from SimPEG import np, mkvc + import re + """ + Read UBC GIF DCIP 3D observation file and generate arrays for tx-rx location + + Input: + :param fileName, path to the UBC GIF 3D obs file + + Output: + :param rx, tx, d, wd + :return + + Created on Mon December 7th, 2015 + + @author: dominiquef + + """ + fid = open(fileName,'w') + fid.write('! GENERAL FORMAT\n') + + for ii in range(len(Tx)): + + tx = np.asarray(Tx[ii]) + rx = np.asarray(Rx[ii]) + nrx = rx.shape[0] + + fid.write('\n') + + if re.match(dtype,'2D'): + + for jj in range(nrx): + + fid.writelines("%e " % ii for ii in mkvc(tx)) + fid.writelines("%e " % ii for ii in mkvc(rx[jj])) + fid.write('%e %e\n'% (d[ii][jj],wd[ii][jj])) + #np.savetxt(fid, np.c_[ rx ,np.asarray(d[ii]), np.asarray(wd[ii]) ], fmt='%e',delimiter=' ',newline='\n') + + elif re.match(dtype,'3D'): + + fid.write('\n') + fid.writelines("%e " % ii for ii in mkvc(tx)) + fid.write('%i\n'% nrx) + np.savetxt(fid, np.c_[ rx ,np.asarray(d[ii]), np.asarray(wd[ii]) ], fmt='%e',delimiter=' ',newline='\n') + + + fid.close() + +def convertObs_DC3D_to_2D(Tx,Rx): + + from SimPEG import np + import numpy.matlib as npm + """ + Read list of 3D Tx Rx location and change coordinate system to distance + along line assuming all data is acquired along line + First transmitter pole is assumed to be at the origin + + Assumes flat topo for now... + + Input: + :param Tx, Rx + + Output: + :figure Tx2d, Rx2d + + Created on Mon December 7th, 2015 + + @author: dominiquef + + """ + + + Tx2d = [] + Rx2d = [] + + for ii in range(len(Tx)): + + if ii == 0: + endp = Tx[0][0:2,0] + + nrx = Rx[ii].shape[0] + + rP1 = np.sqrt( np.sum( ( endp - Tx[ii][0:2,0] )**2 , axis=0)) + rP2 = np.sqrt( np.sum( ( endp - Tx[ii][0:2,1] )**2 , axis=0)) + rC1 = np.sqrt( np.sum( ( npm.repmat(endp.T,nrx,1) - Rx[ii][:,0:2] )**2 , axis=1)) + rC2 = np.sqrt( np.sum( ( npm.repmat(endp.T,nrx,1) - Rx[ii][:,3:5] )**2 , axis=1)) + + Tx2d.append( np.r_[rP1, rP2] ) + Rx2d.append( np.c_[rC1, rC2] ) + #np.savetxt(fid, data, fmt='%e',delimiter=' ',newline='\n') + + return Tx2d, Rx2d + +def readUBC_DC3Dobs(fileName): + + from SimPEG import np + """ + Read UBC GIF DCIP 3D observation file and generate arrays for tx-rx location + + Input: + :param fileName, path to the UBC GIF 3D obs file + + Output: + :param rx, tx, d, wd + :return + + Created on Mon December 7th, 2015 + + @author: dominiquef + + """ + + # Load file + obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!') + + # Pre-allocate + Tx = [] + Rx = [] + d = [] + wd = [] + + # Countdown for number of obs/tx + count = 0 + for ii in range(obsfile.shape[0]): + + if not obsfile[ii]: + continue + + # First line is transmitter with number of receivers + if count==0: + + temp = (np.fromstring(obsfile[ii], dtype=float,sep=' ').T) + count = int(temp[-1]) + temp = np.reshape(temp[0:-1],[2,3]).T + + Tx.append(temp) + rx = [] + continue + + temp = np.fromstring(obsfile[ii], dtype=float,sep=' ') + + + rx.append(temp) + + count = count -1 + + # Reach the end of + if count == 0: + temp = np.asarray(rx) + Rx.append(temp[:,0:6]) + + # Check for data + uncertainties + if temp.shape[1]==8: + d.append(temp[:,6]) + wd.append(temp[:,7]) + + # Check for data only + elif temp.shape[1]==7: + d.append(temp[:,6]) + + return Tx, Rx, d, wd + +def readUBC_DC2DLoc(fileName): + + from SimPEG import np + """ + Read UBC GIF 2D observation file and generate arrays for tx-rx location + + Input: + :param fileName, path to the UBC GIF 2D model file + + Output: + :param rx, tx + :return + + Created on Thu Nov 12 13:14:10 2015 + + @author: dominiquef + + """ + + # Open fileand skip header... assume that we know the mesh already +#============================================================================== +# fopen = open(fileName,'r') +# lines = fopen.readlines() +# fopen.close() +#============================================================================== + + # Load file + obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!') + + # Check first line and figure out if 2D or 3D file format + line = np.array(obsfile[0].split(),dtype=float) + + tx_A = [] + tx_B = [] + rx_M = [] + rx_N = [] + d = [] + wd = [] + + for ii in range(obsfile.shape[0]): + + # If len==3, then simple format where tx-rx is listed on each line + if len(line) == 4: + + temp = np.fromstring(obsfile[ii], dtype=float,sep=' ') + tx_A = np.hstack((tx_A,temp[0])) + tx_B = np.hstack((tx_B,temp[1])) + rx_M = np.hstack((rx_M,temp[2])) + rx_N = np.hstack((rx_N,temp[3])) + + + rx = np.transpose(np.array((rx_M,rx_N))) + tx = np.transpose(np.array((tx_A,tx_B))) + + return tx, rx, d, wd + +def readUBC_DC2DMesh(fileName): + + from SimPEG import np + """ + Read UBC GIF 2DTensor mesh and generate 2D Tensor mesh in simpeg + + Input: + :param fileName, path to the UBC GIF mesh file + + Output: + :param SimPEG TensorMesh 2D object + :return + + Created on Thu Nov 12 13:14:10 2015 + + @author: dominiquef + + """ + + # Open file + fopen = open(fileName,'r') + + # Read down the file and unpack dx vector + def unpackdx(fid,nrows): + for ii in range(nrows): + + line = fid.readline() + var = np.array(line.split(),dtype=float) + + if ii==0: + x0= var[0] + xvec = np.ones(int(var[2])) * (var[1] - var[0]) / int(var[2]) + xend = var[1] + + else: + xvec = np.hstack((xvec,np.ones(int(var[1])) * (var[0] - xend) / int(var[1]))) + xend = var[0] + + return x0, xvec + + #%% Start with dx block + # First line specifies the number of rows for x-cells + line = fopen.readline() + nl = np.array(line.split(),dtype=float) + + [x0, dx] = unpackdx(fopen,nl) + + + #%% Move down the file until reaching the z-block + line = fopen.readline() + if not line: + line = fopen.readline() + + #%% End with dz block + # First line specifies the number of rows for z-cells + line = fopen.readline() + nl = np.array(line.split(),dtype=float) + + [z0, dz] = unpackdx(fopen,nl) + + # Flip z0 to be the bottom of the mesh for SimPEG + z0 = z0 - sum(dz) + dz = dz[::-1] + #%% Make the mesh using SimPEG + + from SimPEG import Mesh + tensMsh = Mesh.TensorMesh([dx,dz],(x0, z0)) + return tensMsh + diff --git a/simpegDCIP/BaseIP.py b/simpegDCIP/BaseIP.py new file mode 100644 index 00000000..efb9a811 --- /dev/null +++ b/simpegDCIP/BaseIP.py @@ -0,0 +1,182 @@ +from SimPEG import * +from BaseDC import SurveyDC, FieldsDC_CC + +class SurveyIP(SurveyDC): + """ + **SurveyDC** + + Geophysical DC resistivity data. + + """ + + def __init__(self, srcList, **kwargs): + self.srcList = srcList + Survey.BaseSurvey.__init__(self, **kwargs) + self._Ps = {} + + def dpred(self, m, u=None): + """ + Predicted data. + + .. math:: + d_\\text{pred} = Pu(m) + """ + + return self.prob.forward(m) + + +class ProblemIP(Problem.BaseProblem): + """ + **ProblemIP** + + Geophysical IP resistivity problem. + + """ + + surveyPair = SurveyDC + Solver = Solver + sigma = None + Ainv = None + u = None + + def __init__(self, mesh, **kwargs): + Problem.BaseProblem.__init__(self, mesh) + self.mesh.setCellGradBC('neumann') + Utils.setKwargs(self, **kwargs) + + # deleteTheseOnModelUpdate = ['_A', '_Msig', '_dMdsig'] + + @property + def Msig(self): + if getattr(self, '_Msig', None) is None: + # sigma = self.curModel.transform + sigma = self.sigma + Av = self.mesh.aveF2CC + self._Msig = Utils.sdiag(1/(self.mesh.dim * Av.T * (1/sigma))) + return self._Msig + + @property + def dMdsig(self): + if getattr(self, '_dMdsig', None) is None: + # sigma = self.curModel.transform + sigma = self.sigma + Av = self.mesh.aveF2CC + dMdprop = self.mesh.dim * Utils.sdiag(self.Msig.diagonal()**2) * Av.T * Utils.sdiag(1./sigma**2) + self._dMdsig = lambda Gu: Utils.sdiag(Gu) * dMdprop + return self._dMdsig + + @property + def A(self): + """ + Makes the matrix A(m) for the DC resistivity problem. + + :param numpy.array m: model + :rtype: scipy.csc_matrix + :return: A(m) + + .. math:: + c(m,u) = A(m)u - q = G\\text{sdiag}(M(mT(m)))Du - q = 0 + + Where M() is the mass matrix and mT is the model transform. + """ + if getattr(self, '_A', None) is None: + D = self.mesh.faceDiv + G = self.mesh.cellGrad + self._A = D*self.Msig*G + # Remove the null space from the matrix. + self._A[-1,-1] /= self.mesh.vol[-1] + self._A = self._A.tocsc() + return self._A + + def getRHS(self): + # if self.mesh not in self._rhsDict: + RHS = np.array([src.eval(self) for src in self.survey.srcList]).T + # self._rhsDict[mesh] = RHS + # return self._rhsDict[mesh] + return RHS + + def fields(self, m): + if self.u is None: + A = self.A + if self.Ainv == None: + self.Ainv = self.Solver(A, **self.solverOpts) + Q = self.getRHS() + self.u = self.Ainv * Q + return self.u + + def forward(self, m, u=None): + # Set current model; clear dependent property $\mathbf{A(m)}$ + self.curModel = m + # sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$ + sigma = self.sigma + if self.u is None: + # Run forward simulation if $u$ not provided + u = self.fields(sigma) + + shp = (self.mesh.nC, self.survey.nSrc) + u = self.u.reshape(shp, order='F') + + D = self.mesh.faceDiv + G = self.mesh.cellGrad + # Derivative of model transform, $\deriv{\sigma}{\m}$ + # dsigdm_x_v = self.curModel.transformDeriv * v + + dsigdm_x_v = Utils.sdiag(sigma) * self.curModel.transformDeriv * m + + # Take derivative of $C(m,u)$ w.r.t. $m$ + dCdm_x_v = np.empty_like(u) + # loop over fields for each source + for i in range(self.survey.nSrc): + # Derivative of inner product, $\left(\mathbf{M}_{1/\sigma}^f\right)^{-1}$ + dAdsig = D * self.dMdsig( G * u[:,i] ) + dCdm_x_v[:, i] = dAdsig * dsigdm_x_v + + # Take derivative of $C(m,u)$ w.r.t. $u$ + + if self.Ainv == None: + self.Ainv = self.Solver(A, **self.solverOpts) + + # dCdu = self.A + # Solve for $\deriv{u}{m}$ + # dCdu_inv = self.Solver(dCdu, **self.solverOpts) + P = self.survey.getP(self.mesh) + J_x_v = - P * mkvc( self.Ainv * dCdm_x_v ) + return -J_x_v + + def Jvec(self, m, v, u=None): + return self.forward(v) + + def Jtvec(self, m, v, u=None): + + self.curModel = m + # sigma = self.curModel.transform # $\sigma = \mathcal{M}(\m)$ + sigma = self.sigma + if self.u is None: + u = self.fields(sigma) + else: + u = self.u + shp = (self.mesh.nC, self.survey.nSrc) + u = u.reshape(shp, order='F') + P = self.survey.getP(self.mesh) + PT_x_v = (P.T*v).reshape(shp, order='F') + + D = self.mesh.faceDiv + G = self.mesh.cellGrad + A = self.A + mT_dm = Utils.sdiag(sigma)*self.mapping.deriv(m) + # mT_dm = self.mapping.deriv(m) + + # dCdu = A.T + # Ainv = self.Solver(dCdu, **self.solverOpts) + # if self.Ainv == None: + self.Ainv = self.Solver(A.T, **self.solverOpts) + + w = self.Ainv * PT_x_v + + Jtv = 0 + for i, ui in enumerate(u.T): # loop over each column + Jtv += self.dMdsig( G * ui ).T * ( D.T * w[:,i] ) + + Jtv = - mT_dm.T * ( Jtv ) + return -Jtv + diff --git a/simpegDCIP/Dev/DC2D_Demo_HTML_anim.py b/simpegDCIP/Dev/DC2D_Demo_HTML_anim.py new file mode 100644 index 00000000..b41d4574 --- /dev/null +++ b/simpegDCIP/Dev/DC2D_Demo_HTML_anim.py @@ -0,0 +1,216 @@ +import os +from SimPEG import * +import simpegDCIP as DC +import pylab as plt +from matplotlib import animation +from JSAnimation import HTMLWriter +import time +import re +#from readUBC_DC2DMesh import readUBC_DC2DMesh +#from readUBC_DC2DModel import readUBC_DC2DModel +#from readUBC_DC2DLoc import readUBC_DC2DLoc +#from convertObs_DC3D_to_2D import convertObs_DC3D_to_2D +#from readUBC_DC3Dobs import readUBC_DC3Dobs + +#%% +home_dir = 'C:\\Users\\dominiquef.MIRAGEOSCIENCE\\ownCloud\\Research\\Modelling\\Synthetic\\Two_Sphere' +msh_file = 'Mesh_2D.msh' +mod_file = 'Model_2D.con' +obs_file = 'FWR_data3D.dat' + +dsep = '\\' + +# Forward solver +slvr = 'BiCGStab' #'LU' + +# Preconditioner +pcdr = 'Jacobi' #'Gauss-Seidel'# + +# Number of padding cells to remove from plotting +padc = 15 + +# Load UBC mesh 2D +mesh = DC.readUBC_DC2DMesh(home_dir + dsep + msh_file) + +# Load model +model = DC.readUBC_DC2DModel(home_dir + dsep + mod_file) + +# load obs file +[Tx,Rx,d,wd] = DC.readUBC_DC3Dobs(home_dir + dsep + obs_file) +[Tx, Rx] = DC.convertObs_DC3D_to_2D(Tx,Rx) +#%% Create system +#Set boundary conditions +mesh.setCellGradBC('neumann') + +Div = mesh.faceDiv +Grad = mesh.cellGrad +Msig = Utils.sdiag(1./(mesh.aveF2CC.T*(1./model))) + +A = Div*Msig*Grad + +# Change one corner to deal with nullspace +A[0,0] = 1 +A = sp.csc_matrix(A) + +start_time = time.time() + +if re.match(slvr,'BiCGStab'): + # Create Jacobi Preconditioner + if re.match(pcdr,'Jacobi'): + dA = A.diagonal() + P = sp.spdiags(1/dA,0,A.shape[0],A.shape[0]) + + # Create Gauss-Seidel Preconditioner + elif re.match(pcdr,'Gauss-Seidel'): + LD = sp.tril(A,k=0) + #LDinv = sp.linalg.splu(LD) + +elif re.match(slvr,'LU'): + # Factor A matrix + Ainv = sp.linalg.splu(A) + print("LU DECOMP--- %s seconds ---" % (time.time() - start_time)) + +#%% Create SimPEG objects + + +# Create sub-mesh for plotting +hx = mesh.hx +hy = mesh.hy + +hx_sub = hx[padc:-padc] +hy_sub = hy[padc:] +mesh_sub = Mesh.TensorMesh([hx_sub,hy_sub],(mesh.vectorNx[padc], mesh.vectorNy[padc])) +model_sub = model.reshape(mesh.nCy,mesh.nCx) +model_sub = mkvc(model_sub[padc:,padc:-padc].T) + +xx = mesh_sub.vectorCCx +yy = mesh_sub.vectorCCy + +#%% Solve +#txii = range(50,1950,100) +#jx_CC_sub = np.zeros((len(txii),mesh_sub.nCx,mesh_sub.nCy)) +#jy_CC_sub = np.zeros((len(txii),mesh_sub.nCx,mesh_sub.nCy)) + +fig = plt.figure(figsize=(10,5)) +axs = plt.axes(ylim = (yy[0],yy[-1]+mesh.hy[-1]*2), xlim = (xx[0],xx[-1]))# +plt.tight_layout(pad=0.4, w_pad=0.5, h_pad=1.0) +plt.ylim(yy[0],yy[-1]+mesh.hy[-1]*2) +plt.xlim(xx[0],xx[-1]) +#im1 = axs.pcolormesh([],[],[], alpha=0.75,extent = (xx[0],xx[-1],yy[-1],yy[0]),interpolation='nearest',vmin=-1e-2, vmax=1e-2) +#im2 = axs.pcolormesh([],[],[],alpha=0.2,extent = (xx[0],xx[-1],yy[-1],yy[0]),interpolation='nearest',cmap='gray') +im1 = axs.pcolormesh(mesh_sub.vectorCCx,mesh_sub.vectorCCy,np.zeros((mesh_sub.nCy,mesh_sub.nCx)), alpha=0.75,vmin=-1e-2, vmax=1e-2) +im2 = axs.pcolormesh(mesh_sub.vectorCCx,mesh_sub.vectorCCy,np.zeros((mesh_sub.nCy,mesh_sub.nCx)), alpha=0.75,vmin=-1e-2, vmax=1e-2) +im3 = axs.streamplot(xx, yy, np.zeros((mesh_sub.nCy,mesh_sub.nCx)), np.zeros((mesh_sub.nCy,mesh_sub.nCx)),color='k') +im4 = axs.scatter([],[], c='r', s=200) +im5 = axs.scatter([],[], c='r', s=200) + + + +#============================================================================== +# def init(): +# im1.set_data([[],[],[]]) +# im2.set_data([[],[],[]]) +# +# return [im1]+[im2] +#============================================================================== + +def animate(ii): + + + +#for ii in range(len(txii)): + + removeStream() + tx = np.asarray(np.c_[Tx[ii],np.ones(Tx[ii].shape[0])*mesh.vectorNy[-1]-1]) + inds = Utils.closestPoints(mesh, tx ) + RHS = mesh.getInterpolationMat( tx , 'CC').T*( [-1,1] / mesh.vol[inds] ) + + if re.match(slvr,'BiCGStab'): + + if re.match(pcdr,'Jacobi'): + dA = A.diagonal() + P = sp.spdiags(1/dA,0,A.shape[0],A.shape[0]) + + # Iterative Solve + phi = sp.linalg.bicgstab(P*A,P*RHS, tol=1e-5) + phi = mkvc(phi[0]) + + elif re.match(slvr,'LU'): + #Direct Solve + phi = Ainv.solve(RHS) + + + j = -Msig*Grad*phi + j_CC = mesh.aveF2CCV*j + + # Compute charge density solving div*grad*phi + Q = -mesh.faceDiv*mesh.cellGrad*phi + + jx_CC = j_CC[0:mesh.nC].reshape(mesh.nCy,mesh.nCx) + jy_CC = j_CC[mesh.nC:].reshape(mesh.nCy,mesh.nCx) + + #%% Grab only the core for presentation + jx_CC_sub = jx_CC[padc:,padc:-padc] + + jy_CC_sub = jy_CC[padc:,padc:-padc] + + Q_sub = Q.reshape(mesh.nCy,mesh.nCx) + Q_sub = Q_sub[padc:,padc:-padc] + + J_rho = np.sqrt(jx_CC_sub**2 + jy_CC_sub**2) + lw = np.log10(J_rho/J_rho.min()) + + + #axs.imshow(Q_sub,alpha=0.75,extent = (xx[0],xx[-1],yy[-1],yy[0]),interpolation='nearest',vmin=-1e-2, vmax=1e-2) + #axs.imshow(np.log10(model_sub.reshape(mesh_sub.nCy,mesh_sub.nCx)),alpha=0.2,extent = (xx[0],xx[-1],yy[-1],yy[0]),interpolation='nearest',cmap='gray') + global im1 + im1 = axs.pcolormesh(mesh_sub.vectorCCx,mesh_sub.vectorCCy,Q_sub, alpha=0.75,vmin=-1e-2, vmax=1e-2) + + global im2 + im2 = axs.pcolormesh(mesh_sub.vectorCCx,mesh_sub.vectorCCy,np.log10(model_sub.reshape(mesh_sub.nCy,mesh_sub.nCx)), alpha=0.25) + + global im3 + im3 = axs.streamplot(xx, yy, jx_CC_sub, jy_CC_sub,color='k',linewidth = lw,density=0.5) + + global im4 + im4 = axs.scatter(tx[0,0],mesh.vectorNy[-1], c='r', s=75, marker='v' ) + + global im5 + im5 = axs.scatter(tx[1,0],mesh.vectorNy[-1], c='b', s=75, marker='v' ) + + + #plt.show() + #im1.set_array(Q_sub) + #im2.set_array(np.log10(model_sub.reshape(mesh_sub.nCy,mesh_sub.nCx))) + #im2.set_array(mesh_sub.vectorCCx, mesh_sub.vectorCCy,jx_CC_sub.T,jy_CC_sub.T) + + #return [im1] + [im2] +#%% Create widget +def removeStream(): + global im1 + im1.remove() + + global im2 + im2.remove() + + global im3 + im3.lines.remove() + axs.patches = [] + + global im4 + im4.remove() + + global im5 + im5.remove() +#def viewInv(msh,iteration): + + + +#, linewidth=lw.T +#%% +#interact(viewInv,msh = mesh_sub, iteration = IntSlider(min=0, max=len(txii)-1 ,step=1, value=0)) +# set embed_frames=True to embed base64-encoded frames directly in the HTML +anim = animation.FuncAnimation(fig, animate, + frames=len(Tx), interval=5) + +anim.save(home_dir + '\\animation.html', writer=HTMLWriter(embed_frames=True)) diff --git a/simpegDCIP/Dev/DC3D_Demo_TwoSpheres.py b/simpegDCIP/Dev/DC3D_Demo_TwoSpheres.py new file mode 100644 index 00000000..a041aedd --- /dev/null +++ b/simpegDCIP/Dev/DC3D_Demo_TwoSpheres.py @@ -0,0 +1,478 @@ +""" + Experimental script for the forward modeling of DC resistivity data + along survey lines defined by the user. The program loads in a 3D mesh + and model which is used to design pole-dipole or dipole-dipole survey + lines. + + Uses SimPEG to generate the forward problem and compute the LU + factorization. + + Calls DCIP2D for the inversion of a projected 2D section from the full + 3D model. + + Assumes flat topo for now... + + Created on Mon December 7th, 2015 + + @author: dominiquef + +""" + + +#%% +from SimPEG import * +import simpegDCIP as DC +import pylab as plt +from pylab import get_current_fig_manager +from scipy.interpolate import griddata +import time +import re +import numpy.matlib as npm +import scipy.interpolate as interpolation +#============================================================================== +# from readUBC_DC3Dobs import readUBC_DC3Dobs +# from readUBC_DC2DModel import readUBC_DC2DModel +# from writeUBC_DCobs import writeUBC_DCobs + +# from plot_pseudoSection import plot_pseudoSection +# from gen_DCIPsurvey import gen_DCIPsurvey +# from convertObs_DC3D_to_2D import convertObs_DC3D_to_2D +#============================================================================== +from matplotlib.colors import LogNorm +import os + +home_dir = 'C:\\Users\\dominiquef.MIRAGEOSCIENCE\\ownCloud\\Research\\Modelling\\Synthetic\\Two_Sphere' +dsep = '\\' +#from scipy.linalg import solve_banded + +# Load UBC mesh 3D +mesh = Mesh.TensorMesh.readUBC(home_dir + '\Mesh_5m.msh') +#mesh = Utils.meshutils.readUBCTensorMesh(home_dir + '\MtIsa_20m.msh') +#mesh = Utils.meshutils.readUBCTensorMesh(home_dir + '\Mesh_50m.msh') + +# Load model +#model = Utils.meshutils.readUBCTensorModel(home_dir + '\MtIsa_3D.con',mesh) +#model = Utils.meshutils.readUBCTensorModel(home_dir + '\Synthetic.con',mesh) +#model = Utils.meshutils.readUBCTensorModel(home_dir + '\Lalor_model_50m.con',mesh) +model = Mesh.TensorMesh.readModelUBC(mesh,home_dir + '\TwoSpheres.con') + +#model = model**0 * 1e-2 +# Specify survey type +stype = 'dpdp' + +# Survey parameters +a = 30 +b = 30 +n = 20 + +# Forward solver +slvr = 'BiCGStab' #'LU' + +# Preconditioner +pcdr = 'Jacobi'# + +# Inversion parameter +pct = 0.01 +flr = 1e-4 +chifact = 100 +ref_mod = 1e-2 + +# DOI threshold +cutoff = 0.8 + +#%% Create system +#Set boundary conditions +mesh.setCellGradBC('neumann') + +Div = mesh.faceDiv +Grad = mesh.cellGrad +Msig = Utils.sdiag(1./(mesh.aveF2CC.T*(1./model))) + +A = Div*Msig*Grad + +# Change one corner to deal with nullspace +A[0,0] = 1 +A = sp.csc_matrix(A) + +start_time = time.time() + +if re.match(slvr,'BiCGStab'): + # Create Jacobi Preconditioner + if re.match(pcdr,'Jacobi'): + dA = A.diagonal() + P = sp.spdiags(1/dA,0,A.shape[0],A.shape[0]) + + #LDinv = sp.linalg.splu(LD) + +elif re.match(slvr,'LU'): + # Factor A matrix + Ainv = sp.linalg.splu(A) + print("LU DECOMP--- %s seconds ---" % (time.time() - start_time)) + +#%% Create survey +# Display top section +top = int(mesh.nCz)-1 + +plt.figure() +ax_prim = plt.subplot(1,1,1) +mesh.plotSlice(model, ind=top, normal='Z', grid=False, pcolorOpts={'alpha':0.5}, ax =ax_prim) +plt.xlim([423200,423750]) +plt.ylim([546350,546650]) +plt.gca().set_aspect('equal', adjustable='box') + +plt.show() +cfm1=get_current_fig_manager().window +gin=[1] + +# Keep creating sections until returns an empty ginput (press enter on figure) +#while bool(gin)==True: + +# Bring back the plan view figure and pick points +cfm1.activateWindow() +plt.sca(ax_prim) + +# Takes two points from ginput and create survey +#if re.match(stype,'gradient'): +gin = [(423230. , 546440.), (423715. , 546440.)] +#else: +#gin = plt.ginput(2, timeout = 0) + + + +#============================================================================== +# if not gin: +# print 'SimPED - Simulation has ended with return' +# break +#============================================================================== + +# Add z coordinate to all survey... assume flat +nz = mesh.vectorNz +var = np.c_[np.asarray(gin),np.ones(2).T*nz[-1]] + +# Snap the endpoints to the grid. Easier to create 2D section. +indx = Utils.closestPoints(mesh, var ) +endl = np.c_[mesh.gridCC[indx,0],mesh.gridCC[indx,1],np.ones(2).T*nz[-1]] + +[Tx, Rx] = DC.gen_DCIPsurvey(endl, mesh, stype, a, b, n) + +dl_len = np.sqrt( np.sum((endl[0,:] - endl[1,:])**2) ) +dl_x = ( Tx[-1][0,1] - Tx[0][0,0] ) / dl_len +dl_y = ( Tx[-1][1,1] - Tx[0][1,0] ) / dl_len +azm = np.arctan(dl_y/dl_x) + +# Plot stations along line +plt.scatter(Tx[0][0,:],Tx[0][1,:],s=20,c='g') +plt.scatter(Rx[0][:,0::3],Rx[0][:,1::3],s=20,c='y') + +#%% Forward model data +data = []#np.zeros( nstn*nrx ) +unct = [] +problem = DC.ProblemDC_CC(mesh) + +for ii in range(len(Tx)): + start_time = time.time() + + # Select dipole locations for receiver + rxloc_M = np.asarray(Rx[ii][:,0:3]) + rxloc_N = np.asarray(Rx[ii][:,3:]) + + # Number of receivers + nrx = rxloc_M.shape[0] + + + + if not re.match(stype,'pdp'): + inds = Utils.closestPoints(mesh, np.asarray(Tx[ii]).T ) + RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*( [-1,1] / mesh.vol[inds] ) + + else: + + # Create an "inifinity" pole + tx = np.squeeze(Tx[ii][:,0:1]) + tinf = tx + np.array([dl_x,dl_y,0])*dl_len*2 + inds = Utils.closestPoints(mesh, np.c_[tx,tinf].T) + RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*( [-1] / mesh.vol[inds] ) + + # Solve for phi on pole locations + P1 = mesh.getInterpolationMat(rxloc_M, 'CC') + P2 = mesh.getInterpolationMat(rxloc_N, 'CC') + + if re.match(slvr,'BiCGStab'): + + if re.match(pcdr,'Jacobi'): + dA = A.diagonal() + P = sp.spdiags(1/dA,0,A.shape[0],A.shape[0]) + + # Iterative Solve + Ainvb = sp.linalg.bicgstab(P*A,P*RHS, tol=1e-5) + + + phi = mkvc(Ainvb[0]) + + elif re.match(slvr,'LU'): + #Direct Solve + phi = Ainv.solve(RHS) + + + + # Compute potential at each electrode + dtemp = (P1*phi - P2*phi)*np.pi + + data.append( dtemp ) + unct.append( np.abs(dtemp) * pct + flr) + + print("--- %s seconds ---" % (time.time() - start_time)) + + +#%% Run 2D inversion if pdp or dpdp survey +# Otherwise just plot and apparent susceptibility map +if not re.match(stype,'gradient'): + + #%% Write data file in UBC-DCIP3D format + DC.writeUBC_DCobs(home_dir+'\FWR_data3D.dat',Tx,Rx,data,unct,'3D') + + + #%% Load 3D data + [Tx, Rx, data, wd] = DC.readUBC_DC3Dobs(home_dir + '\FWR_data3D.dat') + + + #%% Convert 3D obs to 2D and write to file + [Tx2d, Rx2d] = DC.convertObs_DC3D_to_2D(Tx,Rx) + + DC.writeUBC_DCobs(home_dir+'\FWR_3D_2_2D.dat',Tx2d,Rx2d,data,unct,'2D') + + #%% Create a 2D mesh along axis of Tx end points and keep z-discretization + dx = np.min( [ np.min(mesh.hx), np.min(mesh.hy) ]) + nc = np.ceil(dl_len/dx)+3 + + padx = dx*np.power(1.4,range(1,15)) + + # Creating padding cells + h1 = np.r_[padx[::-1], np.ones(nc)*dx , padx] + + # Create mesh with 0 coordinate centerer on the ginput points in cell center + mesh2d = Mesh.TensorMesh([h1, mesh.hz], x0=(-np.sum(padx)-dx/2,mesh.x0[2])) + + # Create array of points for interpolating from 3D to 2D mesh + xx = Tx[0][0,0] + mesh2d.vectorCCx * np.cos(azm) + yy = Tx[0][1,0] + mesh2d.vectorCCx * np.sin(azm) + zz = mesh2d.vectorCCy + + [XX,ZZ] = np.meshgrid(xx,zz) + [YY,ZZ] = np.meshgrid(yy,zz) + + xyz2d = np.c_[mkvc(XX),mkvc(YY),mkvc(ZZ)] + + #plt.scatter(xx,yy,s=20,c='y') + + + F = interpolation.NearestNDInterpolator(mesh.gridCC,model) + m2D = np.reshape(F(xyz2d),[mesh2d.nCx,mesh2d.nCy]).T + + + #============================================================================== + # mesh2d = Mesh.TensorMesh([mesh.hx, mesh.hz], x0=(mesh.x0[0]-endl[0,0],mesh.x0[2])) + # m3D = np.reshape(model, (mesh.nCz, mesh.nCy, mesh.nCx)) + # m2D = m3D[:,1,:] + #============================================================================== + #%% + plt.figure() + axs = plt.subplot(1,1,1) + + plt.xlim([-dx,nc*dx+dx]) + plt.ylim([mesh2d.vectorNy[-1]-dl_len/2,mesh2d.vectorNy[-1]+2*dx]) + plt.gca().set_aspect('equal', adjustable='box') + + circle1=plt.Circle((144,1500),50,color='w',fill=False, lw=3) + circle2=plt.Circle((344,1500),50,color='k',fill=False, lw=3) + axs.add_artist(circle1) + axs.add_artist(circle2) + plt.pcolormesh(mesh2d.vectorNx,mesh2d.vectorNy,np.log10(m2D))#axes = [mesh2d.vectorNx[0],mesh2d.vectorNx[-1],mesh2d.vectorNy[0],mesh2d.vectorNy[-1]]) + cbar = plt.colorbar(format = '%.2f',fraction=0.02) + cmin,cmax = cbar.get_clim() + ticks = np.linspace(cmin,cmax,3) + cbar.set_ticks(ticks) + + # Plot poles + plt.scatter(Tx2d[0][0],mesh2d.vectorNy[-1]+dx,s=50,c='r',marker='v') + plt.scatter(Tx2d[0][1],mesh2d.vectorNy[-1]+dx,s=50,c='b',marker='v') + plt.scatter(Rx2d[0][:,0],np.ones(Rx2d[0].shape[0])*mesh2d.vectorNy[-1]+dx,s=50,c='g') + #mesh2d.plotImage(mkvc(m2D), grid=True, ax=axs) + + #%% Plot pseudo section + plt.figure() + axs = plt.subplot(1,1,1) + plt.xlim([-dx,nc*dx+dx]) + plt.ylim([mesh2d.vectorNy[-1]-dl_len/2,mesh2d.vectorNy[-1]+2*dx]) + plt.gca().set_aspect('equal', adjustable='box') + + circle1=plt.Circle((144,1500),50,color='w',fill=False, lw=3) + circle2=plt.Circle((344,1500),50,color='k',fill=False, lw=3) + axs.add_artist(circle1) + axs.add_artist(circle2) + + DC.plot_pseudoSection(Tx2d,Rx2d,data,nz[-1],stype) + plt.show() + + #%% Run two inversions with different reference models and compute a DOI + + invmod = [] + refmod = [] + plt.figure() + + for jj in range(2): + + # Create dcin2d inversion files and run + inv_dir = home_dir + '\Inv2D' + if not os.path.exists(inv_dir): + os.makedirs(inv_dir) + + mshfile2d = 'Mesh_2D.msh' + modfile2d = 'Model_2D.con' + obsfile2d = 'FWR_3D_2_2D.dat' + inp_file = 'dcinv2d.inp' + + + # Export 2D mesh + fid = open(inv_dir + dsep + mshfile2d,'w') + fid.write('%i\n'% mesh2d.nCx) + fid.write('%f %f 1\n'% (mesh2d.vectorNx[0],mesh2d.vectorNx[1])) + np.savetxt(fid, np.c_[mesh2d.vectorNx[2:],np.ones(mesh2d.nCx-1)], fmt='\t %e %i',delimiter=' ',newline='\n') + fid.write('\n') + fid.write('%i\n'% mesh2d.nCy) + fid.write('%f %f 1\n'%( 0,mesh2d.hy[-1])) + np.savetxt(fid, np.c_[np.cumsum(mesh2d.hy[-2::-1])+mesh2d.hy[-1],np.ones(mesh2d.nCy-1)], fmt='\t %e %i',delimiter=' ',newline='\n') + fid.close() + + # Export 2D model + fid = open(inv_dir + dsep + modfile2d,'w') + fid.write('%i %i\n'% (mesh2d.nCx,mesh2d.nCy)) + np.savetxt(fid, mkvc(m2D[::-1,:].T), fmt='%e',delimiter=' ',newline='\n') + fid.close() + + # Export data file + DC.writeUBC_DCobs(inv_dir + dsep + obsfile2d,Tx2d,Rx2d,data,unct,'2D') + + # Write input file + fid = open(inv_dir + dsep + inp_file,'w') + fid.write('OBS LOC_X %s \n'% obsfile2d) + fid.write('MESH FILE %s \n'% mshfile2d) + fid.write('CHIFACT 1 %f\n'% chifact) + fid.write('TOPO DEFAULT %s \n') + fid.write('INIT_MOD DEFAULT\n') + fid.write('REF_MOD VALUE %e\n'% (ref_mod*(jj+1))) + fid.write('ALPHA DEFAULT\n') + fid.write('WEIGHT DEFAULT\n') + fid.write('STORE_ALL_MODELS FALSE\n') + fid.write('INVMODE SVD\n') + fid.write('USE_MREF TRUE\n') + fid.close() + + os.chdir(inv_dir) + os.system('dcinv2d ' + inp_file) + + + #Load model + minv = DC.readUBC_DC2DModel(inv_dir + dsep + 'dcinv2d.con') + + axs = plt.subplot(2,1,jj+1) + + plt.xlim([-dx,nc*dx+dx]) + plt.ylim([mesh2d.vectorNy[-1]-dl_len/2,mesh2d.vectorNy[-1]+2*dx]) + plt.gca().set_aspect('equal', adjustable='box') + + minv = np.reshape(minv,(mesh2d.nCy,mesh2d.nCx)) + #plt.pcolormesh(mesh2d.vectorNx,mesh2d.vectorNy,np.log10(m2D),alpha=0.5, cmap='gray') + + circle1=plt.Circle((144,1500),50,color='w',fill=False, lw=3) + circle2=plt.Circle((344,1500),50,color='k',fill=False, lw=3) + axs.add_artist(circle1) + axs.add_artist(circle2) + + + axp = plt.pcolormesh(mesh2d.vectorNx,mesh2d.vectorNy,np.log10(minv),alpha=1,vmin = -2.25, vmax = -1.5) + + plt.show() + + if jj == 1: + + plt.ylabel('(b)',rotation=360) + plt.xlabel('Distance (m)') + + else: + plt.ylabel('(a)',rotation=360) + + + cbar = plt.colorbar(format = '%.2f',fraction=0.05,orientation='vertical',pad=0.02) + cmin,cmax = cbar.get_clim() + ticks = np.linspace(cmin,cmax,3) + cbar.set_ticks(ticks) + #cbar.set_ticklabels('%.2f') + + invmod.append(minv) + refmod.append(ref_mod*(jj+1)) + + #%% Compute DOI + DOI = np.abs(invmod[0] - invmod[1]) / np.abs(refmod[0] - refmod[1]) + # Normalize between [0 1] + DOI = DOI - np.min(DOI) + DOI = (1.- DOI/np.max(DOI)) + DOI[DOI > cutoff] = 1 + + plt.figure() + plt.xlim([-dx,nc*dx+dx]) + plt.ylim([mesh2d.vectorNy[-1]-dl_len/2,mesh2d.vectorNy[-1]+2*dx]) + plt.gca().set_aspect('equal', adjustable='box') + + plt.pcolormesh(mesh2d.vectorNx,mesh2d.vectorNy,DOI,alpha=1) + cbar = plt.colorbar(format = '%.2f',fraction=0.02) + + #%% Replace alpha values from inversion + #rgba_plt = axp.get_facecolor() + #rgba_plt[:,3] = mkvc(DOI)/2 + plt.figure() + axs = plt.subplot(1,1,1) + + plt.xlim([-dx,nc*dx+dx]) + plt.ylim([mesh2d.vectorNy[-1]-dl_len/2,mesh2d.vectorNy[-1]+2*dx]) + plt.gca().set_aspect('equal', adjustable='box') + + circle1=plt.Circle((144,1500),50,color='w',fill=False, lw=3) + circle2=plt.Circle((344,1500),50,color='k',fill=False, lw=3) + axs.add_artist(circle1) + axs.add_artist(circle2) + + axs = plt.pcolor(mesh2d.vectorNx,mesh2d.vectorNy,np.log10(invmod[0]),edgecolor="none") + plt.draw() + cbar = plt.colorbar(format = '%.2f',fraction=0.02) + aa = axs.get_facecolors() + aa[:,3] = mkvc(DOI.T) + axs.set_facecolor(aa) + + plt.draw() + +#%% Othrwise it is a gradient array, plot surface of apparent resisitivty +elif re.match(stype,'gradient'): + + rC1P1 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,0],Rx[0].shape[0], 1) - Rx[0][:,0:2])**2, axis=1 )) + rC2P1 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,1],Rx[0].shape[0], 1) - Rx[0][:,0:2])**2, axis=1 )) + rC1P2 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,1],Rx[0].shape[0], 1) - Rx[0][:,3:5])**2, axis=1 )) + rC2P2 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,0],Rx[0].shape[0], 1) - Rx[0][:,3:5])**2, axis=1 )) + + rC1C2 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,0]-Tx[0][0:2,1],Rx[0].shape[0], 1) )**2, axis=1 )) + rP1P2 = np.sqrt( np.sum( (Rx[0][:,0:2] - Rx[0][:,3:5])**2, axis=1 )) + + rho = np.abs(data[0]) * np.pi *((rC1P1)**2 / rP1P2)#/ ( 1/rC1P1 - 1/rC2P1 - 1/rC1P2 + 1/rC2P2 ) + + Pmid = (Rx[0][:,0:2] + Rx[0][:,3:5])/2 + + # Grid points + grid_x, grid_z = np.mgrid[np.min(Rx[0][:,[0,3]]):np.max(Rx[0][:,[0,3]]):a/10, np.min(Rx[0][:,[1,4]]):np.max(Rx[0][:,[1,4]]):a/10] + grid_rho = griddata(np.c_[Pmid[:,0],Pmid[:,1]], (abs(rho.T)), (grid_x, grid_z), method='linear') + + + #plt.subplot(2,1,2) + plt.imshow(grid_rho.T, extent = (np.min(grid_x),np.max(grid_x),np.min(grid_z),np.max(grid_z)) ,origin='lower') + var = 'Gradient Array - a-spacing: ' + str(a) + ' m' + plt.title(var) + plt.colorbar() diff --git a/simpegDCIP/Dev/DC3D_fwr_MtIsa.py b/simpegDCIP/Dev/DC3D_fwr_MtIsa.py new file mode 100644 index 00000000..854a32ce --- /dev/null +++ b/simpegDCIP/Dev/DC3D_fwr_MtIsa.py @@ -0,0 +1,403 @@ +""" + Experimental script for the forward modeling of DC resistivity data + along survey lines defined by the user. The program loads in a 3D mesh + and model which is used to design pole-dipole or dipole-dipole survey + lines. + + Uses SimPEG to generate the forward problem and compute the LU + factorization. + + Calls DCIP2D for the inversion of a projected 2D section from the full + 3D model. + + Assumes flat topo for now... + + Created on Mon December 7th, 2015 + + @author: dominiquef + +""" + + +#%% +from SimPEG import np, Utils, Mesh, mkvc, sp +import simpegDCIP as DC +import pylab as plt +from pylab import get_current_fig_manager +from scipy.interpolate import griddata +import time +import re +import numpy.matlib as npm +#from readUBC_DC3Dobs import readUBC_DC3Dobs +#from readUBC_DC2DModel import readUBC_DC2DModel +#from writeUBC_DCobs import writeUBC_DCobs +import scipy.interpolate as interpolation +#from plot_pseudoSection import plot_pseudoSection +#from gen_DCIPsurvey import gen_DCIPsurvey +#from convertObs_DC3D_to_2D import convertObs_DC3D_to_2D +import os + +#home_dir = 'C:\\Users\\dominiquef.MIRAGEOSCIENCE\\ownCloud\\Research\\Modelling\\Synthetic\\Two_Sphere' +home_dir ='C:\Users\dominiquef.MIRAGEOSCIENCE\ownCloud\Research\MtIsa\Modeling' +dsep = '\\' +#from scipy.linalg import solve_banded + +# Load UBC mesh 3D +#mesh = Utils.meshutils.readUBCTensorMesh(home_dir + '\Mesh_10m.msh') +mesh = Utils.meshutils.readUBCTensorMesh(home_dir + '\MtIsa_20m.msh') +#mesh = Utils.meshutils.readUBCTensorMesh(home_dir + '\Mesh_50m.msh') + +# Load model +model = Utils.meshutils.readUBCTensorModel(home_dir + '\MtIsa_20m.con',mesh) +#model = Utils.meshutils.readUBCTensorModel(home_dir + '\Synthetic.con',mesh) +#model = Utils.meshutils.readUBCTensorModel(home_dir + '\Lalor_model_50m.con',mesh) +#model = Utils.meshutils.readUBCTensorModel(home_dir + '\TwoSpheres.con',mesh) + +#model[model>1] = 0.08 + +#model = model**0 * 1e-2 +# Specify survey type +stype = 'pdp' + +# Survey parameters +a = 100 +b = 100 +n = 15 + +# Forward solver +slvr = 'BiCGStab' #'LU' + +# Preconditioner +pcdr = 'Jacobi'#'Gauss-Seidel'# + +# Inversion parameter +pct = 0.01 +flr = 1e-4 +chifact = 100 +ref_mod = 1e-2 + +#%% Create system +#Set boundary conditions +mesh.setCellGradBC('neumann') + +Div = mesh.faceDiv +Grad = mesh.cellGrad +Msig = Utils.sdiag(1./(mesh.aveF2CC.T*(1./model))) + +A = Div*Msig*Grad + +# Change one corner to deal with nullspace +A[0,0] = 1 +A = sp.csc_matrix(A) + +start_time = time.time() + +if re.match(slvr,'BiCGStab'): + # Create Jacobi Preconditioner + if re.match(pcdr,'Jacobi'): + dA = A.diagonal() + P = sp.spdiags(1/dA,0,A.shape[0],A.shape[0]) + + # Create Gauss-Seidel Preconditioner + elif re.match(pcdr,'Gauss-Seidel'): + LD = sp.tril(A,k=0) + #LDinv = sp.linalg.splu(LD) + +elif re.match(slvr,'LU'): + # Factor A matrix + Ainv = sp.linalg.splu(A) + print("LU DECOMP--- %s seconds ---" % (time.time() - start_time)) + +#%% Create survey +# Display top section +top = int(mesh.nCz)-1 + +plt.figure() +ax_prim = plt.subplot(1,1,1) +mesh.plotSlice(model, ind=top, normal='Z', grid=False, pcolorOpts={'alpha':0.5}, ax =ax_prim) +#plt.xlim([423000,424000]) +#plt.ylim([546200,547000]) +plt.gca().set_aspect('equal', adjustable='box') + +plt.show() +cfm1=get_current_fig_manager().window +gin=[1] + +# Keep creating sections until returns an empty ginput (press enter on figure) +#while bool(gin)==True: + +# Bring back the plan view figure and pick points +cfm1.activateWindow() +plt.sca(ax_prim) + +# Takes two points from ginput and create survey +#if re.match(stype,'gradient'): +gin = [(400.,12200.), (1800.,12200.)] +#else: +#gin = plt.ginput(2, timeout = 0) + + + +#============================================================================== +# if not gin: +# print 'SimPED - Simulation has ended with return' +# break +#============================================================================== + +# Add z coordinate to all survey... assume flat +nz = mesh.vectorNz +var = np.c_[np.asarray(gin),np.ones(2).T*nz[-1]] + +# Snap the endpoints to the grid. Easier to create 2D section. +indx = Utils.closestPoints(mesh, var ) +endl = np.c_[mesh.gridCC[indx,0],mesh.gridCC[indx,1],np.ones(2).T*nz[-1]] + +[Tx, Rx] = DC.gen_DCIPsurvey(endl, mesh, stype, a, b, n) + +dl_len = np.sqrt( np.sum((endl[0,:] - endl[1,:])**2) ) +dl_x = ( Tx[-1][0,1] - Tx[0][0,0] ) / dl_len +dl_y = ( Tx[-1][1,1] - Tx[0][1,0] ) / dl_len +azm = np.arctan(dl_y/dl_x) + +# Plot stations along line +plt.scatter(Tx[0][0,:],Tx[0][1,:],s=20,c='g') +plt.scatter(Rx[0][:,0::3],Rx[0][:,1::3],s=20,c='y') + +#%% Forward model data +data = []#np.zeros( nstn*nrx ) +unct = [] +problem = DC.ProblemDC_CC(mesh) + +for ii in range(len(Tx)): + start_time = time.time() + + # Select dipole locations for receiver + rxloc_M = np.asarray(Rx[ii][:,0:3]) + rxloc_N = np.asarray(Rx[ii][:,3:]) + + # Number of receivers + nrx = rxloc_M.shape[0] + + + + if not re.match(stype,'pdp'): + inds = Utils.closestPoints(mesh, np.asarray(Tx[ii]).T ) + RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*( [-1,1] / mesh.vol[inds] ) + + else: + + # Create an "inifinity" pole + tx = np.squeeze(Tx[ii][:,0:1]) + tinf = tx + np.array([dl_x,dl_y,0])*dl_len*2 + inds = Utils.closestPoints(mesh, np.c_[tx,tinf].T) + RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*( [-1] / mesh.vol[inds] ) + + # Solve for phi on pole locations + P1 = mesh.getInterpolationMat(rxloc_M, 'CC') + P2 = mesh.getInterpolationMat(rxloc_N, 'CC') + + if re.match(slvr,'BiCGStab'): + + if re.match(pcdr,'Jacobi'): + dA = A.diagonal() + P = sp.spdiags(1/dA,0,A.shape[0],A.shape[0]) + + # Iterative Solve + Ainvb = sp.linalg.bicgstab(P*A,P*RHS, tol=1e-5) + + # Create Gauss-Seidel Preconditioner + elif re.match(pcdr,'Gauss-Seidel'): + LD = sp.tril(A,k=0) + + + phi = mkvc(Ainvb[0]) + + elif re.match(slvr,'LU'): + #Direct Solve + phi = Ainv.solve(RHS) + + + + # Compute potential at each electrode + dtemp = (P1*phi - P2*phi)*np.pi + + data.append( dtemp ) + unct.append( np.abs(dtemp) * pct + flr) + + print("--- %s seconds ---" % (time.time() - start_time)) + + +#%% Run 2D inversion if pdp or dpdp survey +# Otherwise just plot and apparent susceptibility map +if not re.match(stype,'gradient'): + + #%% Write data file in UBC-DCIP3D format + DC.writeUBC_DCobs(home_dir+'\FWR_data3D.dat',Tx,Rx,data,unct,'3D') + + + #%% Load 3D data + [Tx, Rx, data, wd] = DC.readUBC_DC3Dobs(home_dir + '\FWR_data3D.dat') + + + #%% Convert 3D obs to 2D and write to file + [Tx2d, Rx2d] = DC.convertObs_DC3D_to_2D(Tx,Rx) + + DC.writeUBC_DCobs(home_dir+'\FWR_3D_2_2D.dat',Tx2d,Rx2d,data,unct,'2D') + + #%% Create a 2D mesh along axis of Tx end points and keep z-discretization + dx = np.min( [ np.min(mesh.hx), np.min(mesh.hy) ]) + nc = np.ceil(dl_len/dx)+3 + + padx = dx*np.power(1.4,range(1,15)) + + # Creating padding cells + h1 = np.r_[padx[::-1], np.ones(nc)*dx , padx] + + # Create mesh with 0 coordinate centerer on the ginput points in cell center + mesh2d = Mesh.TensorMesh([h1, mesh.hz], x0=(-np.sum(padx)-dx/2,mesh.x0[2])) + + # Create array of points for interpolating from 3D to 2D mesh + xx = Tx[0][0,0] + mesh2d.vectorCCx * np.cos(azm) + yy = Tx[0][1,0] + mesh2d.vectorCCx * np.sin(azm) + zz = mesh2d.vectorCCy + + [XX,ZZ] = np.meshgrid(xx,zz) + [YY,ZZ] = np.meshgrid(yy,zz) + + xyz2d = np.c_[mkvc(XX),mkvc(YY),mkvc(ZZ)] + + #plt.scatter(xx,yy,s=20,c='y') + + + F = interpolation.NearestNDInterpolator(mesh.gridCC,model) + m2D = np.reshape(F(xyz2d),[mesh2d.nCx,mesh2d.nCy]).T + + + #============================================================================== + # mesh2d = Mesh.TensorMesh([mesh.hx, mesh.hz], x0=(mesh.x0[0]-endl[0,0],mesh.x0[2])) + # m3D = np.reshape(model, (mesh.nCz, mesh.nCy, mesh.nCx)) + # m2D = m3D[:,1,:] + #============================================================================== + + plt.figure() + axs = plt.subplot(2,1,1) + + plt.xlim([0,nc*dx]) + plt.ylim([mesh2d.vectorNy[-1]-dl_len/2,mesh2d.vectorNy[-1]]) + plt.gca().set_aspect('equal', adjustable='box') + + plt.pcolormesh(mesh2d.vectorNx,mesh2d.vectorNy,np.log10(m2D),alpha=0.5, cmap='gray')#axes = [mesh2d.vectorNx[0],mesh2d.vectorNx[-1],mesh2d.vectorNy[0],mesh2d.vectorNy[-1]]) + #mesh2d.plotImage(mkvc(m2D), grid=True, ax=axs) + + #%% Plot pseudo section + + DC.plot_pseudoSection(Tx2d,Rx2d,data,nz[-1],stype) + plt.colorbar + plt.show() + + #%% Create dcin2d inversion files and run + inv_dir = home_dir + '\Inv2D' + if not os.path.exists(inv_dir): + os.makedirs(inv_dir) + + mshfile2d = 'Mesh_2D.msh' + modfile2d = 'MtIsa_2D.con' + obsfile2d = 'FWR_3D_2_2D.dat' + inp_file = 'dcinv2d.inp' + + + # Export 2D mesh + fid = open(inv_dir + dsep + mshfile2d,'w') + fid.write('%i\n'% mesh2d.nCx) + fid.write('%f %f 1\n'% (mesh2d.vectorNx[0],mesh2d.vectorNx[1])) + np.savetxt(fid, np.c_[mesh2d.vectorNx[2:],np.ones(mesh2d.nCx-1)], fmt='\t %e %i',delimiter=' ',newline='\n') + fid.write('\n') + fid.write('%i\n'% mesh2d.nCy) + fid.write('%f %f 1\n'%( 0,mesh2d.hy[-1])) + np.savetxt(fid, np.c_[np.cumsum(mesh2d.hy[-2::-1])+mesh2d.hy[-1],np.ones(mesh2d.nCy-1)], fmt='\t %e %i',delimiter=' ',newline='\n') + fid.close() + + # Export 2D model + fid = open(inv_dir + dsep + modfile2d,'w') + fid.write('%i %i\n'% (mesh2d.nCx,mesh2d.nCy)) + np.savetxt(fid, mkvc(m2D[::-1,:].T), fmt='%e',delimiter=' ',newline='\n') + fid.close() + + # Export data file + DC.writeUBC_DCobs(inv_dir + dsep + obsfile2d,Tx2d,Rx2d,data,unct,'2D') + + # Write input file + fid = open(inv_dir + dsep + inp_file,'w') + fid.write('OBS LOC_X %s \n'% obsfile2d) + fid.write('MESH FILE %s \n'% mshfile2d) + fid.write('CHIFACT 1 %f\n'% chifact) + fid.write('TOPO DEFAULT %s \n') + fid.write('INIT_MOD DEFAULT\n') + fid.write('REF_MOD VALUE %e\n'% ref_mod) + fid.write('ALPHA DEFAULT\n') + fid.write('WEIGHT DEFAULT\n') + fid.write('STORE_ALL_MODELS FALSE\n') + fid.write('INVMODE SVD\n') + fid.write('USE_MREF TRUE\n') + fid.close() + + os.chdir(inv_dir) + os.system('dcinv2d ' + inp_file) + + #%% + #Load model + minv = DC.readUBC_DC2DModel(inv_dir + dsep + 'dcinv2d.con') + #plt.figure() + axs = plt.subplot(2,1,2) + + plt.xlim([0,nc*dx]) + plt.ylim([mesh2d.vectorNy[-1]-dl_len/2,mesh2d.vectorNy[-1]]) + plt.gca().set_aspect('equal', adjustable='box') + + minv = np.reshape(minv,(mesh2d.nCy,mesh2d.nCx)) + plt.pcolormesh(mesh2d.vectorNx,mesh2d.vectorNy,np.log10(m2D),alpha=0.5, cmap='gray') + plt.pcolormesh(mesh2d.vectorNx,mesh2d.vectorNy,np.log10(minv),alpha=0.5, clim=(np.min(np.log10(m2D)),np.max(np.log10(m2D)))) + cbar = plt.colorbar(format = '%.2f',fraction=0.02) + cmin,cmax = cbar.get_clim() + ticks = np.linspace(cmin,cmax,3) + cbar.set_ticks(ticks) + +#%% Othrwise it is a gradient array, plot surface of apparent resisitivty +elif re.match(stype,'gradient'): + + rC1P1 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,0],Rx[0].shape[0], 1) - Rx[0][:,0:2])**2, axis=1 )) + rC2P1 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,1],Rx[0].shape[0], 1) - Rx[0][:,0:2])**2, axis=1 )) + rC1P2 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,0],Rx[0].shape[0], 1) - Rx[0][:,3:5])**2, axis=1 )) + rC2P2 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,1],Rx[0].shape[0], 1) - Rx[0][:,3:5])**2, axis=1 )) + + rC1C2 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,0]-Tx[0][0:2,1],Rx[0].shape[0], 1) )**2, axis=1 )) + rP1P2 = np.sqrt( np.sum( (Rx[0][:,0:2] - Rx[0][:,3:5])**2, axis=1 )) + + rho = np.abs(data[0]) *np.pi *2. / ( 1/rC1P1 - 1/rC2P1 - 1/rC1P2 + 1/rC2P2 )#*((rC1P1)**2 / rP1P2)# + + Pmid = (Rx[0][:,0:2] + Rx[0][:,3:5])/2 + + # Grid points + grid_x, grid_z = np.mgrid[np.min(Rx[0][:,[0,3]]):np.max(Rx[0][:,[0,3]]):a/10, np.min(Rx[0][:,[1,4]]):np.max(Rx[0][:,[1,4]]):a/10] + grid_rho = griddata(np.c_[Pmid[:,0],Pmid[:,1]], (abs(rho.T)), (grid_x, grid_z), method='linear') + + + #plt.subplot(2,1,2) + plt.figure() + plt.imshow(grid_rho.T, extent = (np.min(grid_x),np.max(grid_x),np.min(grid_z),np.max(grid_z)) ,origin='lower') + + var = 'Gradient Array - a-spacing: ' + str(a) + ' m' + plt.title(var) + plt.colorbar() + plt.contour(grid_x,grid_z,grid_rho, colors='k') + +#%% Load tight model and plot +mesh = Utils.meshutils.readUBCTensorMesh(home_dir + '\MtIsa_5m.msh') + +# Load model +model = Utils.meshutils.readUBCTensorModel(home_dir + '\MtIsa_5m.con',mesh) +model = model.reshape((mesh.nCz,mesh.nCx)) +plt.figure() +plt.imshow(np.log10(model),extent = (125,375,0,75),origin='lower') +plt.colorbar(fraction=0.015) + \ No newline at end of file diff --git a/simpegDCIP/Dev/DC3D_fwr_live.py b/simpegDCIP/Dev/DC3D_fwr_live.py new file mode 100644 index 00000000..90e1d0a9 --- /dev/null +++ b/simpegDCIP/Dev/DC3D_fwr_live.py @@ -0,0 +1,85 @@ +import os + +home_dir = 'C:\Users\dominiquef.MIRAGEOSCIENCE\Documents\GIT\SimPEG\simpegdc\simpegDCIP\Dev' + +os.chdir(home_dir) + + +#%% +from SimPEG import np, Utils, Mesh, mkvc, SolverLU +import simpegDCIP as DC +import pylab as plt + +# Load UBC mesh 3D +mesh = Utils.meshutils.readUBCTensorMesh('Mesh_40m.msh') + +# Load model +model = Utils.meshutils.readUBCTensorModel('Synthetic.con',mesh) + +#%% +# Display top section +top = int(mesh.nCz)-1 +mesh.plotSlice(model, ind=top, normal='Z', grid=True, pcolorOpts={'alpha':0.8}) +ylim=(546000,546750) +xlim=(422900,423675) +# Takes two points from ginput and create survey +temp = plt.ginput(2) + +# Add z coordinate +nz = mesh.vectorNz +endp = np.c_[np.asarray(temp),np.ones(2).T*nz[-1]] + +# Create dipole survey receivers and plot +nrx = 10 +ab = 40 +a = 20 + +# Evenly distribute transmitters for now and put on surface +dplen = np.sqrt( np.sum((endp[1,:] - endp[0,:])**2) ) +dp_x = ( endp[1,0] - endp[0,0] ) / dplen +dp_y = ( endp[1,1] - endp[0,1] ) / dplen + +nstn = np.floor( dplen / ab ) + +stn_x = endp[0,0] + np.cumsum( np.ones(nstn)*dp_x*ab ) +stn_y = endp[0,1] + np.cumsum( np.ones(nstn)*dp_y*ab ) + +plt.scatter(stn_x,stn_y,s=100, c='w') + +M = np.c_[stn_x-a*dp_x, stn_y-a*dp_y, np.ones(nstn).T*nz[-1]] +N = np.c_[stn_x+a*dp_x, stn_y+a*dp_y, np.ones(nstn).T*nz[-1]] + +plt.scatter(M[:,0],M[:,1],s=10,c='r') +plt.scatter(N[:,0],N[:,1],s=10,c='b') + +#%% Create inversion parameter + +Rx = DC.RxDipole(M,N) +Tx = DC.SrcDipole([Rx], tx[0,:],tx[1,:]) +survey = DC.SurveyDC([Tx]) + +problem = DC.ProblemDC_CC(mesh) +problem.pair(survey) + +problem.Solver = SolverLU + +data = survey.dpred(model) + +#Set boundary conditions +mesh.setCellGradBC('neumann') + +Div = mesh.faceDiv +Grad = mesh.cellGradBC +Msig = Utils.sdiag(1./(mesh.aveF2CC.T*(1./model))) + +A = Div*Msig*Grad + +# Change one corner to deal with nullspace +A[0,0] = 1. + +# Get the righthand side +RHS = problem.getRHS + +# Solve for phi +phi = SolverLU(A)*-RHS + diff --git a/simpegDCIP/Dev/DC3D_fwr_live_test.py b/simpegDCIP/Dev/DC3D_fwr_live_test.py new file mode 100644 index 00000000..6aad24dd --- /dev/null +++ b/simpegDCIP/Dev/DC3D_fwr_live_test.py @@ -0,0 +1,390 @@ +""" + Experimental script for the forward modeling of DC resistivity data + along survey lines defined by the user. The program loads in a 3D mesh + and model which is used to design pole-dipole or dipole-dipole survey + lines. + + Uses SimPEG to generate the forward problem and compute the LU + factorization. + + Calls DCIP2D for the inversion of a projected 2D section from the full + 3D model. + + Assumes flat topo for now... + + Created on Mon December 7th, 2015 + + @author: dominiquef + +""" + + +#%% +from SimPEG import np, Utils, Mesh, mkvc, sp +import simpegDCIP as DC +import pylab as plt +from pylab import get_current_fig_manager +from scipy.interpolate import griddata +import time +import re +import numpy.matlib as npm +#from readUBC_DC3Dobs import readUBC_DC3Dobs +#from readUBC_DC2DModel import readUBC_DC2DModel +#from writeUBC_DCobs import writeUBC_DCobs +import scipy.interpolate as interpolation +#from plot_pseudoSection import plot_pseudoSection +#from gen_DCIPsurvey import gen_DCIPsurvey +#from convertObs_DC3D_to_2D import convertObs_DC3D_to_2D +import os + +#home_dir = 'C:\\Users\\dominiquef.MIRAGEOSCIENCE\\ownCloud\\Research\\Modelling\\Synthetic\\Two_Sphere' +home_dir ='C:\Users\dominiquef.MIRAGEOSCIENCE\Documents\GIT\SimPEG\simpegdc\simpegDCIP\Dev' +dsep = '\\' +#from scipy.linalg import solve_banded + +# Load UBC mesh 3D +#mesh = Utils.meshutils.readUBCTensorMesh(home_dir + '\Mesh_10m.msh') +mesh = Utils.meshutils.readUBCTensorMesh(home_dir + '\MtIsa_20m.msh') +#mesh = Utils.meshutils.readUBCTensorMesh(home_dir + '\Mesh_50m.msh') + +# Load model +model = Utils.meshutils.readUBCTensorModel(home_dir + '\MtIsa_3D.con',mesh) +#model = Utils.meshutils.readUBCTensorModel(home_dir + '\Synthetic.con',mesh) +#model = Utils.meshutils.readUBCTensorModel(home_dir + '\Lalor_model_50m.con',mesh) +#model = Utils.meshutils.readUBCTensorModel(home_dir + '\TwoSpheres.con',mesh) + +#model = model**0 * 1e-2 +# Specify survey type +stype = 'pdp' + +# Survey parameters +a = 150 +b = 150 +n = 40 + +# Forward solver +slvr = 'BiCGStab' #'LU' + +# Preconditioner +pcdr = 'Jacobi'#'Gauss-Seidel'# + +# Inversion parameter +pct = 0.01 +flr = 1e-4 +chifact = 100 +ref_mod = 1e-3 + +#%% Create system +#Set boundary conditions +mesh.setCellGradBC('neumann') + +Div = mesh.faceDiv +Grad = mesh.cellGrad +Msig = Utils.sdiag(1./(mesh.aveF2CC.T*(1./model))) + +A = Div*Msig*Grad + +# Change one corner to deal with nullspace +A[0,0] = 1 +A = sp.csc_matrix(A) + +start_time = time.time() + +if re.match(slvr,'BiCGStab'): + # Create Jacobi Preconditioner + if re.match(pcdr,'Jacobi'): + dA = A.diagonal() + P = sp.spdiags(1/dA,0,A.shape[0],A.shape[0]) + + # Create Gauss-Seidel Preconditioner + elif re.match(pcdr,'Gauss-Seidel'): + LD = sp.tril(A,k=0) + #LDinv = sp.linalg.splu(LD) + +elif re.match(slvr,'LU'): + # Factor A matrix + Ainv = sp.linalg.splu(A) + print("LU DECOMP--- %s seconds ---" % (time.time() - start_time)) + +#%% Create survey +# Display top section +top = int(mesh.nCz)-1 + +plt.figure() +ax_prim = plt.subplot(1,1,1) +mesh.plotSlice(model, ind=top, normal='Z', grid=False, pcolorOpts={'alpha':0.5}, ax =ax_prim) +#plt.xlim([423000,424000]) +#plt.ylim([546200,547000]) +plt.gca().set_aspect('equal', adjustable='box') + +plt.show() +cfm1=get_current_fig_manager().window +gin=[1] + +# Keep creating sections until returns an empty ginput (press enter on figure) +#while bool(gin)==True: + +# Bring back the plan view figure and pick points +cfm1.activateWindow() +plt.sca(ax_prim) + +# Takes two points from ginput and create survey +#if re.match(stype,'gradient'): +#gin = [(425347, 6079766), (427792, 6081806)] +#else: +gin = plt.ginput(2, timeout = 0) + + + +#============================================================================== +# if not gin: +# print 'SimPED - Simulation has ended with return' +# break +#============================================================================== + +# Add z coordinate to all survey... assume flat +nz = mesh.vectorNz +var = np.c_[np.asarray(gin),np.ones(2).T*nz[-1]] + +# Snap the endpoints to the grid. Easier to create 2D section. +indx = Utils.closestPoints(mesh, var ) +endl = np.c_[mesh.gridCC[indx,0],mesh.gridCC[indx,1],np.ones(2).T*nz[-1]] + +[Tx, Rx] = gen_DCIPsurvey(endl, mesh, stype, a, b, n) + +dl_len = np.sqrt( np.sum((endl[0,:] - endl[1,:])**2) ) +dl_x = ( Tx[-1][0,1] - Tx[0][0,0] ) / dl_len +dl_y = ( Tx[-1][1,1] - Tx[0][1,0] ) / dl_len +azm = np.arctan(dl_y/dl_x) + +# Plot stations along line +plt.scatter(Tx[0][0,:],Tx[0][1,:],s=20,c='g') +plt.scatter(Rx[0][:,0::3],Rx[0][:,1::3],s=20,c='y') + +#%% Forward model data +data = []#np.zeros( nstn*nrx ) +unct = [] +problem = DC.ProblemDC_CC(mesh) + +for ii in range(len(Tx)): + start_time = time.time() + + # Select dipole locations for receiver + rxloc_M = np.asarray(Rx[ii][:,0:3]) + rxloc_N = np.asarray(Rx[ii][:,3:]) + + # Number of receivers + nrx = rxloc_M.shape[0] + + + + if not re.match(stype,'pdp'): + inds = Utils.closestPoints(mesh, np.asarray(Tx[ii]).T ) + RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*( [-1,1] / mesh.vol[inds] ) + + else: + + # Create an "inifinity" pole + tx = np.squeeze(Tx[ii][:,0:1]) + tinf = tx + np.array([dl_x,dl_y,0])*dl_len*2 + inds = Utils.closestPoints(mesh, np.c_[tx,tinf].T) + RHS = mesh.getInterpolationMat(np.asarray(Tx[ii]).T, 'CC').T*( [-1] / mesh.vol[inds] ) + + # Solve for phi on pole locations + P1 = mesh.getInterpolationMat(rxloc_M, 'CC') + P2 = mesh.getInterpolationMat(rxloc_N, 'CC') + + if re.match(slvr,'BiCGStab'): + + if re.match(pcdr,'Jacobi'): + dA = A.diagonal() + P = sp.spdiags(1/dA,0,A.shape[0],A.shape[0]) + + # Iterative Solve + Ainvb = sp.linalg.bicgstab(P*A,P*RHS, tol=1e-5) + + # Create Gauss-Seidel Preconditioner + elif re.match(pcdr,'Gauss-Seidel'): + LD = sp.tril(A,k=0) + + + phi = mkvc(Ainvb[0]) + + elif re.match(slvr,'LU'): + #Direct Solve + phi = Ainv.solve(RHS) + + + + # Compute potential at each electrode + dtemp = (P1*phi - P2*phi)*np.pi + + data.append( dtemp ) + unct.append( np.abs(dtemp) * pct + flr) + + print("--- %s seconds ---" % (time.time() - start_time)) + + +#%% Run 2D inversion if pdp or dpdp survey +# Otherwise just plot and apparent susceptibility map +if not re.match(stype,'gradient'): + + #%% Write data file in UBC-DCIP3D format + writeUBC_DCobs(home_dir+'\FWR_data3D.dat',Tx,Rx,data,unct,'3D') + + + #%% Load 3D data + [Tx, Rx, data, wd] = readUBC_DC3Dobs(home_dir + '\FWR_data3D.dat') + + + #%% Convert 3D obs to 2D and write to file + [Tx2d, Rx2d] = convertObs_DC3D_to_2D(Tx,Rx) + + writeUBC_DCobs(home_dir+'\FWR_3D_2_2D.dat',Tx2d,Rx2d,data,unct,'2D') + + #%% Create a 2D mesh along axis of Tx end points and keep z-discretization + dx = np.min( [ np.min(mesh.hx), np.min(mesh.hy) ]) + nc = np.ceil(dl_len/dx)+3 + + padx = dx*np.power(1.4,range(1,15)) + + # Creating padding cells + h1 = np.r_[padx[::-1], np.ones(nc)*dx , padx] + + # Create mesh with 0 coordinate centerer on the ginput points in cell center + mesh2d = Mesh.TensorMesh([h1, mesh.hz], x0=(-np.sum(padx)-dx/2,mesh.x0[2])) + + # Create array of points for interpolating from 3D to 2D mesh + xx = Tx[0][0,0] + mesh2d.vectorCCx * np.cos(azm) + yy = Tx[0][1,0] + mesh2d.vectorCCx * np.sin(azm) + zz = mesh2d.vectorCCy + + [XX,ZZ] = np.meshgrid(xx,zz) + [YY,ZZ] = np.meshgrid(yy,zz) + + xyz2d = np.c_[mkvc(XX),mkvc(YY),mkvc(ZZ)] + + #plt.scatter(xx,yy,s=20,c='y') + + + F = interpolation.NearestNDInterpolator(mesh.gridCC,model) + m2D = np.reshape(F(xyz2d),[mesh2d.nCx,mesh2d.nCy]).T + + + #============================================================================== + # mesh2d = Mesh.TensorMesh([mesh.hx, mesh.hz], x0=(mesh.x0[0]-endl[0,0],mesh.x0[2])) + # m3D = np.reshape(model, (mesh.nCz, mesh.nCy, mesh.nCx)) + # m2D = m3D[:,1,:] + #============================================================================== + + plt.figure() + axs = plt.subplot(2,1,1) + + plt.xlim([0,nc*dx]) + plt.ylim([mesh2d.vectorNy[-1]-dl_len,mesh2d.vectorNy[-1]]) + plt.gca().set_aspect('equal', adjustable='box') + + plt.pcolormesh(mesh2d.vectorNx,mesh2d.vectorNy,np.log10(m2D),alpha=0.5, cmap='gray')#axes = [mesh2d.vectorNx[0],mesh2d.vectorNx[-1],mesh2d.vectorNy[0],mesh2d.vectorNy[-1]]) + #mesh2d.plotImage(mkvc(m2D), grid=True, ax=axs) + + #%% Plot pseudo section + + plot_pseudoSection(Tx2d,Rx2d,data,nz[-1],stype) + plt.colorbar + plt.show() + + #%% Create dcin2d inversion files and run + inv_dir = home_dir + '\Inv2D' + if not os.path.exists(inv_dir): + os.makedirs(inv_dir) + + mshfile2d = 'Mesh_2D.msh' + modfile2d = 'MtIsa_2D.con' + obsfile2d = 'FWR_3D_2_2D.dat' + inp_file = 'dcinv2d.inp' + + + # Export 2D mesh + fid = open(inv_dir + dsep + mshfile2d,'w') + fid.write('%i\n'% mesh2d.nCx) + fid.write('%f %f 1\n'% (mesh2d.vectorNx[0],mesh2d.vectorNx[1])) + np.savetxt(fid, np.c_[mesh2d.vectorNx[2:],np.ones(mesh2d.nCx-1)], fmt='\t %e %i',delimiter=' ',newline='\n') + fid.write('\n') + fid.write('%i\n'% mesh2d.nCy) + fid.write('%f %f 1\n'%( 0,mesh2d.hy[-1])) + np.savetxt(fid, np.c_[np.cumsum(mesh2d.hy[-2::-1])+mesh2d.hy[-1],np.ones(mesh2d.nCy-1)], fmt='\t %e %i',delimiter=' ',newline='\n') + fid.close() + + # Export 2D model + fid = open(inv_dir + dsep + modfile2d,'w') + fid.write('%i %i\n'% (mesh2d.nCx,mesh2d.nCy)) + np.savetxt(fid, mkvc(m2D[::-1,:].T), fmt='%e',delimiter=' ',newline='\n') + fid.close() + + # Export data file + writeUBC_DCobs(inv_dir + dsep + obsfile2d,Tx2d,Rx2d,data,unct,'2D') + + # Write input file + fid = open(inv_dir + dsep + inp_file,'w') + fid.write('OBS LOC_X %s \n'% obsfile2d) + fid.write('MESH FILE %s \n'% mshfile2d) + fid.write('CHIFACT 1 %f\n'% chifact) + fid.write('TOPO DEFAULT %s \n') + fid.write('INIT_MOD DEFAULT\n') + fid.write('REF_MOD VALUE %e\n'% ref_mod) + fid.write('ALPHA DEFAULT\n') + fid.write('WEIGHT DEFAULT\n') + fid.write('STORE_ALL_MODELS FALSE\n') + fid.write('INVMODE SVD\n') + fid.write('USE_MREF TRUE\n') + fid.close() + + os.chdir(inv_dir) + os.system('dcinv2d ' + inp_file) + + #%% + #Load model + minv = readUBC_DC2DModel(inv_dir + dsep + 'dcinv2d.con') + #plt.figure() + axs = plt.subplot(2,1,2) + + plt.xlim([0,nc*dx]) + plt.ylim([mesh2d.vectorNy[-1]-dl_len,mesh2d.vectorNy[-1]]) + plt.gca().set_aspect('equal', adjustable='box') + + minv = np.reshape(minv,(mesh2d.nCy,mesh2d.nCx)) + plt.pcolormesh(mesh2d.vectorNx,mesh2d.vectorNy,np.log10(m2D),alpha=0.5, cmap='gray') + plt.pcolormesh(mesh2d.vectorNx,mesh2d.vectorNy,np.log10(minv),alpha=0.5, clim=(np.min(np.log10(m2D)),np.max(np.log10(m2D)))) + cbar = plt.colorbar(format = '%.2f',fraction=0.02) + cmin,cmax = cbar.get_clim() + ticks = np.linspace(cmin,cmax,3) + cbar.set_ticks(ticks) + +#%% Othrwise it is a gradient array, plot surface of apparent resisitivty +elif re.match(stype,'gradient'): + + rC1P1 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,0],Rx[0].shape[0], 1) - Rx[0][:,0:2])**2, axis=1 )) + rC2P1 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,1],Rx[0].shape[0], 1) - Rx[0][:,0:2])**2, axis=1 )) + rC1P2 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,0],Rx[0].shape[0], 1) - Rx[0][:,3:5])**2, axis=1 )) + rC2P2 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,1],Rx[0].shape[0], 1) - Rx[0][:,3:5])**2, axis=1 )) + + rC1C2 = np.sqrt( np.sum( (npm.repmat(Tx[0][0:2,0]-Tx[0][0:2,1],Rx[0].shape[0], 1) )**2, axis=1 )) + rP1P2 = np.sqrt( np.sum( (Rx[0][:,0:2] - Rx[0][:,3:5])**2, axis=1 )) + + rho = np.abs(data[0]) *np.pi *2. / ( 1/rC1P1 - 1/rC2P1 - 1/rC1P2 + 1/rC2P2 )#*((rC1P1)**2 / rP1P2)# + + Pmid = (Rx[0][:,0:2] + Rx[0][:,3:5])/2 + + # Grid points + grid_x, grid_z = np.mgrid[np.min(Rx[0][:,[0,3]]):np.max(Rx[0][:,[0,3]]):a/10, np.min(Rx[0][:,[1,4]]):np.max(Rx[0][:,[1,4]]):a/10] + grid_rho = griddata(np.c_[Pmid[:,0],Pmid[:,1]], (abs(rho.T)), (grid_x, grid_z), method='linear') + + + #plt.subplot(2,1,2) + plt.figure() + plt.imshow(grid_rho.T, extent = (np.min(grid_x),np.max(grid_x),np.min(grid_z),np.max(grid_z)) ,origin='lower') + + var = 'Gradient Array - a-spacing: ' + str(a) + ' m' + plt.title(var) + plt.colorbar() + plt.contour(grid_x,grid_z,grid_rho, colors='k') \ No newline at end of file diff --git a/simpegDCIP/Dev/DCIP2D_FWR/PDP/FWR_3D_2_2D.dat b/simpegDCIP/Dev/DCIP2D_FWR/PDP/FWR_3D_2_2D.dat new file mode 100644 index 00000000..58df56f7 --- /dev/null +++ b/simpegDCIP/Dev/DCIP2D_FWR/PDP/FWR_3D_2_2D.dat @@ -0,0 +1,245 @@ +! 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100644 index 00000000..f67bc687 --- /dev/null +++ b/simpegDCIP/Dev/DCIP2D_FWR/PDP/dcipf2d.log @@ -0,0 +1,48 @@ + +Parallelized with OpenMP. # of threads: 4 + +DCIP2D - Version 5 (BETA) 20110811: DCIPF2D + +Developed by University of British Columbia +Geophysical Inversion Facility (UBC-GIF) + +(C) Copyright 1992 - 2011, UBC-GIF, +Department of Earth and Ocean Sciences, UBC +http://www.eos.ubc.ca/research/ubcgif/ + +Distributed by: +Mira Geoscience Ltd. + + + DCIPF2D started on:12/09/2015 17:56:14 + + +Reading input file: dcipf2d.inp + +---------------------------------------------- +FWD DC +MESH FILE Mesh_2D.msh +LOC LOC_X FWR_3D_2_2D.dat +TOPO DEFAULT +COND FILE MtIsa_2D.con +---------------------------------------------- + +electrode locations were read from: FWR_3D_2_2D.dat + # of current locations: 28 + # of data: 216 + +mesh was read from: Mesh_2D.msh + # of cells: 85 x 45 + total # of cells: 3825 + # of active cells: 3825 + +# of wave values: 13 + 2.5000E-04 4.9901E-04 9.9606E-04 1.9882E-03 3.9685E-03 7.9213E-03 1.5811E-02 3.1560E-02 6.2996E-02 1.2574E-01 2.5099E-01 5.0099E-01 1.0000E+00 + +conductivity was read from file: MtIsa_2D.con +dc fwd cpu time: 0:00:00.19 + +total cpu time: 0:00:00.19 + + DCIPF2D ended on:12/09/2015 17:56:14 + diff --git a/simpegDCIP/Dev/DCIP2D_FWR/PDP/obs_dc.dat b/simpegDCIP/Dev/DCIP2D_FWR/PDP/obs_dc.dat new file mode 100644 index 00000000..34f73203 --- /dev/null +++ b/simpegDCIP/Dev/DCIP2D_FWR/PDP/obs_dc.dat @@ -0,0 +1,217 @@ +! Predicted data ! GENERAL FORMAT Last column are apparent conductivities. + 0.0000000E+00 0.0000000E+00 4.0000000E+01 8.0000000E+01 4.37963E-01 4.54248E-03 + 0.0000000E+00 0.0000000E+00 8.0000000E+01 1.2000000E+02 1.62622E-01 4.07785E-03 + 0.0000000E+00 0.0000000E+00 1.2000000E+02 1.6000000E+02 7.69824E-02 4.30712E-03 + 0.0000000E+00 0.0000000E+00 1.6000000E+02 2.0000000E+02 4.38528E-03 4.53662E-02 + 0.0000000E+00 0.0000000E+00 2.0000000E+02 2.4000000E+02 2.46637E-03 5.37751E-02 + 0.0000000E+00 0.0000000E+00 2.4000000E+02 2.8000000E+02 2.74581E-03 3.45017E-02 + 0.0000000E+00 0.0000000E+00 2.8000000E+02 3.2000000E+02 6.51619E-03 1.09038E-02 + 0.0000000E+00 0.0000000E+00 3.2000000E+02 3.6000000E+02 5.91274E-03 9.34628E-03 + 0.0000000E+00 0.0000000E+00 3.6000000E+02 4.0000000E+02 4.36195E-03 1.01353E-02 + 4.0000000E+01 4.0000000E+01 8.0000000E+01 1.2000000E+02 4.63636E-01 4.29095E-03 + 4.0000000E+01 4.0000000E+01 1.2000000E+02 1.6000000E+02 1.61950E-01 4.09476E-03 + 4.0000000E+01 4.0000000E+01 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1.00153E-02 1.00152E-02 1.00152E-02 1.00151E-02 1.00150E-02 1.00149E-02 1.00149E-02 1.00148E-02 1.00147E-02 1.00146E-02 1.00145E-02 1.00144E-02 1.00143E-02 1.00142E-02 1.00140E-02 1.00139E-02 1.00138E-02 1.00136E-02 1.00135E-02 1.00133E-02 1.00132E-02 1.00130E-02 1.00129E-02 1.00127E-02 1.00125E-02 1.00123E-02 1.00122E-02 1.00120E-02 1.00118E-02 1.00116E-02 1.00114E-02 1.00112E-02 1.00110E-02 1.00108E-02 1.00106E-02 1.00103E-02 1.00101E-02 1.00099E-02 1.00097E-02 1.00094E-02 1.00092E-02 1.00090E-02 1.00087E-02 1.00084E-02 1.00080E-02 1.00075E-02 1.00067E-02 1.00056E-02 1.00040E-02 1.00021E-02 9.99987E-03 9.99783E-03 9.99688E-03 9.99765E-03 9.99947E-03 1.00011E-02 1.00020E-02 diff --git a/simpegDCIP/Dev/Inv2D/dcinv2d.inp b/simpegDCIP/Dev/Inv2D/dcinv2d.inp new file mode 100644 index 00000000..9d685f9f --- /dev/null +++ b/simpegDCIP/Dev/Inv2D/dcinv2d.inp @@ -0,0 +1,11 @@ +OBS LOC_X FWR_3D_2_2D.dat +MESH FILE Mesh_2D.msh +CHIFACT 1 100.000000 +TOPO DEFAULT %s +INIT_MOD DEFAULT +REF_MOD VALUE 1.000000e-02 +ALPHA DEFAULT +WEIGHT DEFAULT +STORE_ALL_MODELS FALSE +INVMODE SVD +USE_MREF TRUE diff --git a/simpegDCIP/Dev/Inv2D/dcinv2d.log b/simpegDCIP/Dev/Inv2D/dcinv2d.log new file mode 100644 index 00000000..5b30b7f7 --- /dev/null +++ b/simpegDCIP/Dev/Inv2D/dcinv2d.log @@ -0,0 +1,410 @@ + +Parallelized with OpenMP. # of threads: 4 + +DCIP2D - Version 5 (BETA) 20110811: DCINV2D + +Developed by University of British Columbia +Geophysical Inversion Facility (UBC-GIF) + +(C) Copyright 1992 - 2011, UBC-GIF, +Department of Earth and Ocean Sciences, UBC +http://www.eos.ubc.ca/research/ubcgif/ + +Distributed by: +Mira Geoscience Ltd. + + + DCINV2D started on: 1/12/2016 21:07:02 + + +Reading input file: dcinv2d.inp + +---------------------------------------------- +OBS LOC_X FWR_3D_2_2D.dat +MESH FILE Mesh_2D.msh +CHIFACT 1 100.000000 +TOPO DEFAULT %s +INIT_MOD DEFAULT +REF_MOD VALUE 1.000000e-02 +ALPHA DEFAULT +WEIGHT DEFAULT +STORE_ALL_MODELS FALSE +INVMODE SVD +USE_MREF TRUE +---------------------------------------------- + + maximum # of iterations: 100 +data were read from: FWR_3D_2_2D.dat + # of current locations: 9 + # of data: 45 + chifact: 1.00000E+00 + target misfit: 4.50000E+01 + +mesh was read from: Mesh_2D.msh + # of cells: 81 x 45 + total # of cells: 3645 + # of active cells: 3645 + + # of unique data locations: 9 +# of wave values: 13 + 2.5000E-04 4.9901E-04 9.9606E-04 1.9882E-03 3.9685E-03 7.9213E-03 1.5811E-02 3.1560E-02 6.2996E-02 1.2574E-01 2.5099E-01 5.0099E-01 1.0000E+00 + +reference conductivity model is set to a constant: 1.000000E-02 +initial model is set to the reference model. + +using default length scales (Lx, Lz): ( 8.00000E+01, 8.00000E+01) +corresponding alpha (a_s, a_x, a_z): ( 1.56250E-04, 1.0000E+00, 1.0000E+00) + +Using basis vectors and SVD. +reference model will be used in the derivative terms. +number of basis vectors: 17 + 3 + 1 = 21 + +init cpu time: 0:00:00.18 + + + initial misfit = 2.57080E+05 + init. model norm = 0.00000E+00 + norm comp Ws = 0.00000E+00 + norm comp Wx = 0.00000E+00 + norm comp Wz = 0.00000E+00 + + +Iteration 1 + + beta vs. misfit: + beta misfit + 1.11493E+03 4.74485E+04 + 2.22985E+03 5.68364E+04 + 5.57463E+03 8.02516E+04 + 1.39366E+04 1.21526E+05 + 1.57750E+04 1.28279E+05 + 1.58488E+04 1.28536E+05 + 1.58499E+04 1.28540E+05 + 3.96247E+04 1.79392E+05 + + chosen beta = 1.58499E+04 + target misfit = 1.28540E+05 + achieved misfit = 1.28540E+05 + model norm = 3.63297E+00 + misfit change = 5.00000E-01 +model norm change = 0.00000E+00 + + norm comp Ws = 2.88514E+00 + norm comp Wx = 3.70226E-01 + norm comp Wz = 3.77603E-01 + +iter cpu time: 0:00:01.81 + + +Iteration 2 + + beta vs. misfit: + beta misfit + 3.96247E+03 6.15053E+04 + 7.92494E+03 9.46707E+04 + + chosen beta = 4.25263E+03 + target misfit = 6.42701E+04 + achieved misfit = 6.42774E+04 + model norm = 1.37169E+01 + misfit change = 4.99943E-01 +model norm change = 2.77567E+00 + + norm comp Ws = 1.06979E+01 + norm comp Wx = 1.61088E+00 + norm comp Wz = 1.40814E+00 + +iter cpu time: 0:00:00.83 + + +Iteration 3 + + beta vs. misfit: + beta misfit + 1.06316E+03 2.49833E+04 + 2.12631E+03 4.10044E+04 + + chosen beta = 1.51222E+03 + target misfit = 3.21387E+04 + achieved misfit = 3.17674E+04 + model norm = 2.91306E+01 + misfit change = 5.05777E-01 +model norm change = 1.12370E+00 + + norm comp Ws = 2.19928E+01 + norm comp Wx = 4.11507E+00 + norm comp Wz = 3.02271E+00 + +iter cpu time: 0:00:00.64 + + +Iteration 4 + + beta vs. misfit: + beta misfit + 3.78054E+02 1.14051E+04 + 7.56108E+02 1.87488E+04 + + chosen beta = 6.00000E+02 + target misfit = 1.58837E+04 + achieved misfit = 1.56569E+04 + model norm = 4.84312E+01 + misfit change = 5.07137E-01 +model norm change = 6.62554E-01 + + norm comp Ws = 3.49213E+01 + norm comp Wx = 8.32898E+00 + norm comp Wz = 5.18098E+00 + +iter cpu time: 0:00:01.47 + + +Iteration 5 + + beta vs. misfit: + beta misfit + 1.50000E+02 5.05151E+03 + 3.00000E+02 8.76679E+03 + + chosen beta = 2.60199E+02 + target misfit = 7.82847E+03 + achieved misfit = 7.79602E+03 + model norm = 6.97577E+01 + misfit change = 5.02073E-01 +model norm change = 4.40344E-01 + + norm comp Ws = 4.74916E+01 + norm comp Wx = 1.43993E+01 + norm comp Wz = 7.86671E+00 + +iter cpu time: 0:00:01.41 + + +Iteration 6 + + beta vs. misfit: + beta misfit + 6.50498E+01 1.83324E+03 + 1.30100E+02 3.68412E+03 + 1.37599E+02 3.90387E+03 + + chosen beta = 1.37400E+02 + target misfit = 3.89801E+03 + achieved misfit = 3.89800E+03 + model norm = 8.95751E+01 + misfit change = 5.00001E-01 +model norm change = 2.84090E-01 + + norm comp Ws = 5.75580E+01 + norm comp Wx = 2.11440E+01 + norm comp Wz = 1.08731E+01 + +iter cpu time: 0:00:01.02 + + +Iteration 7 + + beta vs. misfit: + beta misfit + 3.43499E+01 8.99667E+02 + 6.86999E+01 1.65819E+03 + 8.25106E+01 2.00613E+03 + + chosen beta = 8.02499E+01 + target misfit = 1.94900E+03 + achieved misfit = 1.94758E+03 + model norm = 1.06566E+02 + misfit change = 5.00364E-01 +model norm change = 1.89686E-01 + + norm comp Ws = 6.57720E+01 + norm comp Wx = 2.69488E+01 + norm comp Wz = 1.38454E+01 + +iter cpu time: 0:00:01.00 + + +Iteration 8 + + beta vs. misfit: + beta misfit + 2.00625E+01 5.63946E+02 + 4.01250E+01 9.43655E+02 + 4.18598E+01 9.78372E+02 + + chosen beta = 4.16303E+01 + target misfit = 9.73791E+02 + achieved misfit = 9.73755E+02 + model norm = 1.22904E+02 + misfit change = 5.00019E-01 +model norm change = 1.53314E-01 + + norm comp Ws = 7.39851E+01 + norm comp Wx = 3.20341E+01 + norm comp Wz = 1.68852E+01 + +iter cpu time: 0:00:01.08 + + +Iteration 9 + + beta vs. misfit: + beta misfit + 1.04076E+01 3.54740E+02 + 2.08152E+01 5.47348E+02 + + chosen beta = 1.72632E+01 + target misfit = 4.86877E+02 + achieved misfit = 4.81217E+02 + model norm = 1.41185E+02 + misfit change = 5.05813E-01 +model norm change = 1.48742E-01 + + norm comp Ws = 8.27069E+01 + norm comp Wx = 3.78831E+01 + norm comp Wz = 2.05954E+01 + +iter cpu time: 0:00:00.62 + + +Iteration 10 + + beta vs. misfit: + beta misfit + 4.31579E+00 2.09965E+02 + 8.63158E+00 2.93092E+02 + + chosen beta = 5.72809E+00 + target misfit = 2.40608E+02 + achieved misfit = 2.34998E+02 + model norm = 1.66836E+02 + misfit change = 5.11659E-01 +model norm change = 1.81682E-01 + + norm comp Ws = 9.43748E+01 + norm comp Wx = 4.67077E+01 + norm comp Wz = 2.57538E+01 + +iter cpu time: 0:00:01.14 + + +Iteration 11 + + beta vs. misfit: + beta misfit + 1.43202E+00 1.08765E+02 + 2.86405E+00 1.48776E+02 + + chosen beta = 1.69894E+00 + target misfit = 1.17499E+02 + achieved misfit = 1.13855E+02 + model norm = 2.07214E+02 + misfit change = 5.15505E-01 +model norm change = 2.42021E-01 + + norm comp Ws = 1.10709E+02 + norm comp Wx = 6.50107E+01 + norm comp Wz = 3.14941E+01 + +iter cpu time: 0:00:01.18 + + +Iteration 12 + + beta vs. misfit: + beta misfit + 4.24735E-01 4.69288E+01 + 8.49470E-01 5.82083E+01 + + chosen beta = 7.90778E-01 + target misfit = 5.69276E+01 + achieved misfit = 5.61534E+01 + model norm = 2.39426E+02 + misfit change = 5.06799E-01 +model norm change = 1.55454E-01 + + norm comp Ws = 1.22208E+02 + norm comp Wx = 7.90861E+01 + norm comp Wz = 3.81319E+01 + +iter cpu time: 0:00:01.10 + + +Iteration 13 + + beta vs. misfit: + beta misfit + 5.07840E-01 2.85576E+01 + 6.33710E-01 3.23824E+01 + 1.13145E+00 5.17204E+01 + + chosen beta = 9.52357E-01 + target misfit = 4.50000E+01 + achieved misfit = 4.40177E+01 + model norm = 2.37754E+02 + misfit change = 2.16117E-01 +model norm change = -6.98309E-03 + + norm comp Ws = 1.26074E+02 + norm comp Wx = 7.63269E+01 + norm comp Wz = 3.53536E+01 + +iter cpu time: 0:00:00.88 + + +Iteration 14 + + beta vs. misfit: + beta misfit + 9.73609E-01 3.64390E+01 + 9.95336E-01 3.71506E+01 + 1.23871E+00 4.57613E+01 + + chosen beta = 1.21709E+00 + target misfit = 4.50000E+01 + achieved misfit = 4.49504E+01 + model norm = 2.30537E+02 + misfit change = -2.11895E-02 +model norm change = -3.03571E-02 + + norm comp Ws = 1.26466E+02 + norm comp Wx = 7.21243E+01 + norm comp Wz = 3.19461E+01 + +iter cpu time: 0:00:00.89 + + +Target misfit achieved. Minimizing model norm. + + +Iteration 15 + + beta vs. misfit: + beta misfit + 1.21843E+00 3.86348E+01 + 1.21978E+00 3.86736E+01 + 1.44018E+00 4.53382E+01 + + chosen beta = 1.42896E+00 + target misfit = 4.50000E+01 + achieved misfit = 4.49850E+01 + model norm = 2.28950E+02 + misfit change = -7.69307E-04 +model norm change = -6.88525E-03 + + norm comp Ws = 1.25759E+02 + norm comp Wx = 6.90749E+01 + norm comp Wz = 3.41159E+01 + +iter cpu time: 0:00:00.95 + + + Exit at convergence. + + + Iterations performed: 15 + +total cpu time: 0:00:16.25 + + DCINV2D ended on: 1/12/2016 21:07:18 + diff --git a/simpegDCIP/Dev/Inv2D/dcinv2d.out b/simpegDCIP/Dev/Inv2D/dcinv2d.out new file mode 100644 index 00000000..f42bd34d --- /dev/null +++ b/simpegDCIP/Dev/Inv2D/dcinv2d.out @@ -0,0 +1,19 @@ + 15 iter data misfit model norm beta + 0 2.57080E+05 0.00000E+00 0.00000E+00 + 1 1.28540E+05 3.63297E+00 1.58499E+04 + 2 6.42774E+04 1.37169E+01 4.25263E+03 + 3 3.17674E+04 2.91306E+01 1.51222E+03 + 4 1.56569E+04 4.84312E+01 6.00000E+02 + 5 7.79602E+03 6.97577E+01 2.60199E+02 + 6 3.89800E+03 8.95751E+01 1.37400E+02 + 7 1.94758E+03 1.06566E+02 8.02499E+01 + 8 9.73755E+02 1.22904E+02 4.16303E+01 + 9 4.81217E+02 1.41185E+02 1.72632E+01 + 10 2.34998E+02 1.66836E+02 5.72809E+00 + 11 1.13855E+02 2.07214E+02 1.69894E+00 + 12 5.61534E+01 2.39426E+02 7.90778E-01 + 13 4.40177E+01 2.37754E+02 9.52357E-01 + 14 4.49504E+01 2.30537E+02 1.21709E+00 + 15 4.49850E+01 2.28950E+02 1.42896E+00 + 4.50000E+01 target misfit + 45 number of data diff --git a/simpegDCIP/Dev/Inv2D/dcinv2d.pre b/simpegDCIP/Dev/Inv2D/dcinv2d.pre new file mode 100644 index 00000000..a321a074 --- /dev/null +++ b/simpegDCIP/Dev/Inv2D/dcinv2d.pre @@ -0,0 +1,46 @@ +! Predicted data ! GENERAL FORMAT + 0.0000000E+00 0.0000000E+00 2.0000000E+02 3.0000000E+02 8.31819E-02 + 0.0000000E+00 0.0000000E+00 3.0000000E+02 4.0000000E+02 4.41288E-03 + 0.0000000E+00 0.0000000E+00 4.0000000E+02 5.0000000E+02 1.23515E-02 + 0.0000000E+00 0.0000000E+00 5.0000000E+02 6.0000000E+02 2.09881E-03 + 0.0000000E+00 0.0000000E+00 6.0000000E+02 7.0000000E+02 7.28316E-04 + 0.0000000E+00 0.0000000E+00 7.0000000E+02 8.0000000E+02 5.24885E-04 + 0.0000000E+00 0.0000000E+00 8.0000000E+02 9.0000000E+02 3.56979E-04 + 0.0000000E+00 0.0000000E+00 9.0000000E+02 1.0000000E+03 2.71240E-04 + 0.0000000E+00 0.0000000E+00 1.0000000E+03 1.1000000E+03 1.71849E-04 + 1.0000000E+02 1.0000000E+02 3.0000000E+02 4.0000000E+02 8.00012E-03 + 1.0000000E+02 1.0000000E+02 4.0000000E+02 5.0000000E+02 1.75080E-02 + 1.0000000E+02 1.0000000E+02 5.0000000E+02 6.0000000E+02 2.81046E-03 + 1.0000000E+02 1.0000000E+02 6.0000000E+02 7.0000000E+02 9.20650E-04 + 1.0000000E+02 1.0000000E+02 7.0000000E+02 8.0000000E+02 6.40887E-04 + 1.0000000E+02 1.0000000E+02 8.0000000E+02 9.0000000E+02 4.28101E-04 + 1.0000000E+02 1.0000000E+02 9.0000000E+02 1.0000000E+03 3.19325E-04 + 1.0000000E+02 1.0000000E+02 1.0000000E+03 1.1000000E+03 1.97133E-04 + 2.0000000E+02 2.0000000E+02 4.0000000E+02 5.0000000E+02 3.00094E-02 + 2.0000000E+02 2.0000000E+02 5.0000000E+02 6.0000000E+02 4.17179E-03 + 2.0000000E+02 2.0000000E+02 6.0000000E+02 7.0000000E+02 1.23020E-03 + 2.0000000E+02 2.0000000E+02 7.0000000E+02 8.0000000E+02 8.09705E-04 + 2.0000000E+02 2.0000000E+02 8.0000000E+02 9.0000000E+02 5.26566E-04 + 2.0000000E+02 2.0000000E+02 9.0000000E+02 1.0000000E+03 3.82914E-04 + 2.0000000E+02 2.0000000E+02 1.0000000E+03 1.1000000E+03 2.28587E-04 + 3.0000000E+02 3.0000000E+02 5.0000000E+02 6.0000000E+02 7.27481E-03 + 3.0000000E+02 3.0000000E+02 6.0000000E+02 7.0000000E+02 1.78177E-03 + 3.0000000E+02 3.0000000E+02 7.0000000E+02 8.0000000E+02 1.07707E-03 + 3.0000000E+02 3.0000000E+02 8.0000000E+02 9.0000000E+02 6.74696E-04 + 3.0000000E+02 3.0000000E+02 9.0000000E+02 1.0000000E+03 4.74671E-04 + 3.0000000E+02 3.0000000E+02 1.0000000E+03 1.1000000E+03 2.71808E-04 + 4.0000000E+02 4.0000000E+02 6.0000000E+02 7.0000000E+02 3.37547E-03 + 4.0000000E+02 4.0000000E+02 7.0000000E+02 8.0000000E+02 1.52487E-03 + 4.0000000E+02 4.0000000E+02 8.0000000E+02 9.0000000E+02 8.67080E-04 + 4.0000000E+02 4.0000000E+02 9.0000000E+02 1.0000000E+03 5.71693E-04 + 4.0000000E+02 4.0000000E+02 1.0000000E+03 1.1000000E+03 3.07672E-04 + 5.0000000E+02 5.0000000E+02 7.0000000E+02 8.0000000E+02 6.64946E-03 + 5.0000000E+02 5.0000000E+02 8.0000000E+02 9.0000000E+02 2.83925E-03 + 5.0000000E+02 5.0000000E+02 9.0000000E+02 1.0000000E+03 1.50341E-03 + 5.0000000E+02 5.0000000E+02 1.0000000E+03 1.1000000E+03 6.31242E-04 + 6.0000000E+02 6.0000000E+02 8.0000000E+02 9.0000000E+02 4.28770E-03 + 6.0000000E+02 6.0000000E+02 9.0000000E+02 1.0000000E+03 2.02291E-03 + 6.0000000E+02 6.0000000E+02 1.0000000E+03 1.1000000E+03 7.75855E-04 + 7.0000000E+02 7.0000000E+02 9.0000000E+02 1.0000000E+03 3.85090E-03 + 7.0000000E+02 7.0000000E+02 1.0000000E+03 1.1000000E+03 1.15357E-03 + 8.0000000E+02 8.0000000E+02 1.0000000E+03 1.1000000E+03 2.22667E-03 diff --git a/simpegDCIP/Dev/Inv2D/dcinv2d_0.pre b/simpegDCIP/Dev/Inv2D/dcinv2d_0.pre new file mode 100644 index 00000000..4498ec87 --- /dev/null +++ b/simpegDCIP/Dev/Inv2D/dcinv2d_0.pre @@ -0,0 +1,46 @@ +! Predicted data ! GENERAL FORMAT Last column are apparent conductivities. + 0.0000000E+00 0.0000000E+00 2.0000000E+02 3.0000000E+02 2.63497E-02 1.00668E-02 + 0.0000000E+00 0.0000000E+00 3.0000000E+02 4.0000000E+02 1.31837E-02 1.00601E-02 + 0.0000000E+00 0.0000000E+00 4.0000000E+02 5.0000000E+02 7.93784E-03 1.00251E-02 + 0.0000000E+00 0.0000000E+00 5.0000000E+02 6.0000000E+02 5.30187E-03 1.00062E-02 + 0.0000000E+00 0.0000000E+00 6.0000000E+02 7.0000000E+02 3.79075E-03 9.99646E-03 + 0.0000000E+00 0.0000000E+00 7.0000000E+02 8.0000000E+02 2.84529E-03 9.98863E-03 + 0.0000000E+00 0.0000000E+00 8.0000000E+02 9.0000000E+02 2.21518E-03 9.97881E-03 + 0.0000000E+00 0.0000000E+00 9.0000000E+02 1.0000000E+03 1.77462E-03 9.96491E-03 + 0.0000000E+00 0.0000000E+00 1.0000000E+03 1.1000000E+03 1.45107E-03 9.97103E-03 + 1.0000000E+02 1.0000000E+02 3.0000000E+02 4.0000000E+02 2.64919E-02 1.00128E-02 + 1.0000000E+02 1.0000000E+02 4.0000000E+02 5.0000000E+02 1.32352E-02 1.00209E-02 + 1.0000000E+02 1.0000000E+02 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8.93202E-12 4.43078E-12 1.86925E-12 7.06535E-13 2.52658E-13 8.78354E-14 + 9.67954E-14 2.86136E-13 8.25433E-13 2.26817E-12 5.64280E-12 1.20557E-11 2.15158E-11 3.23754E-11 4.24575E-11 5.03912E-11 5.59325E-11 5.95158E-11 6.17371E-11 6.30912E-11 6.39170E-11 6.44950E-11 6.49769E-11 6.53563E-11 6.56272E-11 6.57838E-11 6.58209E-11 6.57340E-11 6.55190E-11 6.51725E-11 6.46915E-11 6.40744E-11 6.33201E-11 6.24286E-11 6.16342E-11 6.08391E-11 5.99002E-11 5.88199E-11 5.76019E-11 5.62504E-11 5.47708E-11 5.31696E-11 5.14544E-11 4.96335E-11 4.77160E-11 4.57111E-11 4.36288E-11 4.14796E-11 3.92743E-11 3.70239E-11 3.47393E-11 3.24922E-11 3.02597E-11 2.81016E-11 2.64803E-11 2.51406E-11 2.44148E-11 2.41525E-11 2.40547E-11 2.39713E-11 2.38789E-11 2.37625E-11 2.35530E-11 2.32557E-11 2.28767E-11 2.24940E-11 2.21028E-11 2.17027E-11 2.13416E-11 2.09601E-11 2.05958E-11 2.02350E-11 1.98970E-11 1.95079E-11 1.91277E-11 1.88866E-11 1.85338E-11 1.84627E-11 1.78929E-11 1.60375E-11 1.23240E-11 7.81380E-12 4.05832E-12 1.77328E-12 6.86734E-13 2.49196E-13 8.72946E-14 + 9.58839E-14 2.80293E-13 7.91737E-13 2.10183E-12 4.98034E-12 1.00232E-11 1.68067E-11 2.39038E-11 2.99328E-11 3.42920E-11 3.70977E-11 3.87690E-11 3.97184E-11 4.02437E-11 4.05308E-11 4.07035E-11 4.08200E-11 4.08777E-11 4.08744E-11 4.08080E-11 4.06765E-11 4.04784E-11 4.02124E-11 3.98776E-11 3.94733E-11 3.89990E-11 3.84548E-11 3.78412E-11 3.72416E-11 3.67037E-11 3.60948E-11 3.54162E-11 3.46696E-11 3.38573E-11 3.29816E-11 3.20455E-11 3.10522E-11 3.00054E-11 2.89091E-11 2.77677E-11 2.65853E-11 2.53668E-11 2.41169E-11 2.28408E-11 2.15434E-11 2.02363E-11 1.89620E-11 1.76951E-11 1.64574E-11 1.56028E-11 1.48611E-11 1.44316E-11 1.42477E-11 1.41781E-11 1.41204E-11 1.40565E-11 1.40025E-11 1.39031E-11 1.37606E-11 1.35773E-11 1.34008E-11 1.32200E-11 1.30392E-11 1.28748E-11 1.26993E-11 1.25560E-11 1.24137E-11 1.22520E-11 1.20784E-11 1.20205E-11 1.20131E-11 1.23052E-11 1.23939E-11 1.17070E-11 9.57610E-12 6.48913E-12 3.58096E-12 1.64266E-12 6.58659E-13 2.44158E-13 8.64923E-14 + 9.45853E-14 2.72125E-13 7.45882E-13 1.88587E-12 4.18208E-12 7.79999E-12 1.21503E-11 1.62390E-11 1.93759E-11 2.14256E-11 2.26089E-11 2.32274E-11 2.35214E-11 2.36446E-11 2.36846E-11 2.36824E-11 2.36510E-11 2.35896E-11 2.34974E-11 2.33739E-11 2.32184E-11 2.30306E-11 2.28102E-11 2.25570E-11 2.22711E-11 2.19526E-11 2.16015E-11 2.12185E-11 2.08098E-11 2.04768E-11 2.01119E-11 1.97157E-11 1.92889E-11 1.88326E-11 1.83480E-11 1.78363E-11 1.72988E-11 1.67370E-11 1.61527E-11 1.55476E-11 1.49235E-11 1.42823E-11 1.36260E-11 1.29566E-11 1.22763E-11 1.15871E-11 1.09034E-11 1.02289E-11 9.56282E-12 8.93731E-12 8.47900E-12 8.08176E-12 7.84549E-12 7.69854E-12 7.65803E-12 7.62033E-12 7.58228E-12 7.55754E-12 7.51848E-12 7.46030E-12 7.38393E-12 7.31582E-12 7.24615E-12 7.17996E-12 7.11762E-12 7.06398E-12 7.01976E-12 6.97063E-12 6.92949E-12 6.95132E-12 7.06851E-12 7.44475E-12 7.81153E-12 7.79631E-12 6.84191E-12 5.02678E-12 3.00325E-12 1.47319E-12 6.20516E-13 2.37118E-13 8.53487E-14 + 9.29105E-14 2.61903E-13 6.90857E-13 1.64355E-12 3.36904E-12 5.77987E-12 8.35514E-12 1.05216E-11 1.20107E-11 1.28718E-11 1.32952E-11 1.34641E-11 1.35040E-11 1.34871E-11 1.34506E-11 1.34024E-11 1.33400E-11 1.32630E-11 1.31712E-11 1.30646E-11 1.29431E-11 1.28064E-11 1.26547E-11 1.24880E-11 1.23064E-11 1.21100E-11 1.18991E-11 1.16737E-11 1.14343E-11 1.12059E-11 1.09970E-11 1.07744E-11 1.05384E-11 1.02894E-11 1.00281E-11 9.75498E-12 9.47048E-12 9.17526E-12 8.87002E-12 8.55550E-12 8.23245E-12 7.90159E-12 7.56370E-12 7.21963E-12 6.87023E-12 6.51634E-12 6.15882E-12 5.80525E-12 5.45640E-12 5.10952E-12 4.77615E-12 4.53732E-12 4.30485E-12 4.17421E-12 4.04644E-12 4.01937E-12 3.99302E-12 3.97821E-12 3.95837E-12 3.94710E-12 3.92761E-12 3.90021E-12 3.87555E-12 3.85423E-12 3.83325E-12 3.81803E-12 3.80569E-12 3.79848E-12 3.79650E-12 3.84150E-12 3.95655E-12 4.26273E-12 4.64846E-12 4.89623E-12 4.61056E-12 3.68796E-12 2.41122E-12 1.28282E-12 5.74791E-13 2.28312E-13 8.38727E-14 + 9.06671E-14 2.48805E-13 6.24443E-13 1.37534E-12 2.56476E-12 4.00741E-12 5.35705E-12 6.35734E-12 6.95622E-12 7.24368E-12 7.34172E-12 7.34416E-12 7.30730E-12 7.26003E-12 7.21523E-12 7.16992E-12 7.11836E-12 7.06049E-12 6.99628E-12 6.92573E-12 6.84883E-12 6.76561E-12 6.67607E-12 6.58027E-12 6.47830E-12 6.37025E-12 6.25618E-12 6.13622E-12 6.01050E-12 5.87921E-12 5.74374E-12 5.62936E-12 5.50959E-12 5.38460E-12 5.25460E-12 5.11977E-12 4.98031E-12 4.83645E-12 4.68844E-12 4.53655E-12 4.38104E-12 4.22217E-12 4.06024E-12 3.89553E-12 3.72835E-12 3.55900E-12 3.38781E-12 3.21509E-12 3.04115E-12 2.87034E-12 2.70128E-12 2.53193E-12 2.37434E-12 2.25785E-12 2.14781E-12 2.07037E-12 2.00737E-12 1.96590E-12 1.95374E-12 1.94469E-12 1.93651E-12 1.92894E-12 1.92424E-12 1.91643E-12 1.91099E-12 1.90857E-12 1.90707E-12 1.90928E-12 1.91667E-12 1.94195E-12 2.01744E-12 2.19623E-12 2.49199E-12 2.79163E-12 2.84879E-12 2.50718E-12 1.82182E-12 1.07161E-12 5.19628E-13 2.17034E-13 8.18944E-14 + 8.76274E-14 2.32052E-13 5.45719E-13 1.08871E-12 1.80554E-12 2.52935E-12 3.10601E-12 3.47319E-12 3.65506E-12 3.71442E-12 3.70935E-12 3.67777E-12 3.63984E-12 3.60461E-12 3.57520E-12 3.54764E-12 3.51773E-12 3.48549E-12 3.45089E-12 3.41395E-12 3.37468E-12 3.33309E-12 3.28920E-12 3.24301E-12 3.19457E-12 3.14392E-12 3.09106E-12 3.03606E-12 2.97895E-12 2.91978E-12 2.85862E-12 2.79551E-12 2.73051E-12 2.66370E-12 2.60454E-12 2.54603E-12 2.48580E-12 2.42392E-12 2.36046E-12 2.29551E-12 2.22913E-12 2.16141E-12 2.09243E-12 2.02228E-12 1.95106E-12 1.87886E-12 1.80576E-12 1.73188E-12 1.65730E-12 1.58213E-12 1.50647E-12 1.43040E-12 1.35405E-12 1.27941E-12 1.20552E-12 1.13158E-12 1.06482E-12 1.01509E-12 9.68017E-13 9.24674E-13 8.96954E-13 8.72307E-13 8.54023E-13 8.48478E-13 8.45922E-13 8.42764E-13 8.39459E-13 8.38982E-13 8.44741E-13 8.55990E-13 8.83681E-13 9.55281E-13 1.10925E-12 1.33704E-12 1.52295E-12 1.51613E-12 1.26106E-12 8.44907E-13 4.54188E-13 2.02613E-13 7.92114E-14 + 8.36871E-14 2.11997E-13 4.60601E-13 8.15381E-13 1.17142E-12 1.43328E-12 1.58758E-12 1.66071E-12 1.68239E-12 1.67669E-12 1.65967E-12 1.64019E-12 1.62233E-12 1.60750E-12 1.59582E-12 1.58528E-12 1.57415E-12 1.56245E-12 1.55015E-12 1.53727E-12 1.52380E-12 1.50973E-12 1.49507E-12 1.47981E-12 1.46395E-12 1.44749E-12 1.43044E-12 1.41279E-12 1.39454E-12 1.37571E-12 1.35628E-12 1.33627E-12 1.31567E-12 1.29450E-12 1.27277E-12 1.25046E-12 1.22761E-12 1.20420E-12 1.18027E-12 1.15580E-12 1.13082E-12 1.10534E-12 1.07936E-12 1.05292E-12 1.02601E-12 1.00195E-12 9.78502E-13 9.54632E-13 9.30349E-13 9.05668E-13 8.80605E-13 8.55175E-13 8.29397E-13 8.03290E-13 7.76874E-13 7.50167E-13 7.23191E-13 6.95967E-13 6.68518E-13 6.40865E-13 6.13031E-13 5.85039E-13 5.56915E-13 5.28682E-13 5.00433E-13 4.73117E-13 4.45755E-13 4.13820E-13 3.84114E-13 3.45355E-13 3.18491E-13 3.24929E-13 3.61710E-13 4.47700E-13 6.15733E-13 7.72106E-13 7.87687E-13 6.27249E-13 3.83284E-13 1.85351E-13 7.57304E-14 diff --git a/simpegDCIP/Dev/JSAnimation/IPython_display.py b/simpegDCIP/Dev/JSAnimation/IPython_display.py new file mode 100644 index 00000000..70dcb869 --- /dev/null +++ b/simpegDCIP/Dev/JSAnimation/IPython_display.py @@ -0,0 +1,92 @@ +from .html_writer import HTMLWriter +from matplotlib.animation import Animation +import matplotlib.pyplot as plt +import tempfile +import random +import os + + +__all__ = ['anim_to_html', 'display_animation'] + + +class _NameOnlyTemporaryFile(object): + """A context-managed temporary file which is not opened. + + The file should be accessible by name on any system. + + Parameters + ---------- + suffix : string + The suffix of the temporary file (default = '') + prefix : string + The prefix of the temporary file (default = '_tmp_') + hash_length : string + The length of the random hash. The size of the hash space will + be 16 ** hash_length (default=8) + seed : integer + the seed for the random number generator. If not specified, the + system time will be used as a seed. + absolute : boolean + If true, return an absolute path to a temporary file in the current + working directory. + + Example + ------- + + >>> with _NameOnlyTemporaryFile(seed=0, absolute=False) as f: + ... print(f) + ... + _tmp_d82c07cd + >>> os.path.exists('_tmp_d82c07cd') # file removed after context + False + + """ + def __init__(self, prefix='_tmp_', suffix='', hash_length=8, + seed=None, absolute=True): + rng = random.Random(seed) + self.name = '%s%0*x%s' % (prefix, hash_length, + rng.getrandbits(4 * hash_length), suffix) + if absolute: + self.name = os.path.abspath(self.name) + + def __enter__(self): + return self + + def __exit__(self, *exc_info): + if os.path.exists(self.name): + os.remove(self.name) + + +def anim_to_html(anim, fps=None, embed_frames=True, default_mode='loop'): + """Generate HTML representation of the animation""" + if fps is None and hasattr(anim, '_interval'): + # Convert interval in ms to frames per second + fps = 1000. / anim._interval + + plt.close(anim._fig) + if hasattr(anim, "_html_representation"): + return anim._html_representation + else: + # tempfile can't be used here: we need a filename, and this + # fails on windows. Instead, we use a custom filename generator + #with tempfile.NamedTemporaryFile(suffix='.html') as f: + with _NameOnlyTemporaryFile(suffix='.html') as f: + anim.save(f.name, writer=HTMLWriter(fps=fps, + embed_frames=embed_frames, + default_mode=default_mode)) + html = open(f.name).read() + + anim._html_representation = html + return html + + +def display_animation(anim, **kwargs): + """Display the animation with an IPython HTML object""" + from IPython.display import HTML + return HTML(anim_to_html(anim, **kwargs)) + + +# This is the magic that makes animations display automatically in the +# IPython notebook. The _repr_html_ method is a special method recognized +# by IPython. +Animation._repr_html_ = anim_to_html diff --git a/simpegDCIP/Dev/JSAnimation/__init__.py b/simpegDCIP/Dev/JSAnimation/__init__.py new file mode 100644 index 00000000..a684391d --- /dev/null +++ b/simpegDCIP/Dev/JSAnimation/__init__.py @@ -0,0 +1 @@ +from .html_writer import HTMLWriter diff --git a/simpegDCIP/Dev/JSAnimation/examples.py b/simpegDCIP/Dev/JSAnimation/examples.py new file mode 100644 index 00000000..066ebdf4 --- /dev/null +++ b/simpegDCIP/Dev/JSAnimation/examples.py @@ -0,0 +1,97 @@ +import numpy as np +from matplotlib import pyplot as plt +from matplotlib import animation +from JSAnimation import IPython_display + +def basic_animation(frames=100, interval=30): + """Plot a basic sine wave with oscillating amplitude""" + fig = plt.figure() + ax = plt.axes(xlim=(0, 10), ylim=(-2, 2)) + line, = ax.plot([], [], lw=2) + + x = np.linspace(0, 10, 1000) + + def init(): + line.set_data([], []) + return line, + + def animate(i): + y = np.cos(i * 0.02 * np.pi) * np.sin(x - i * 0.02 * np.pi) + line.set_data(x, y) + return line, + + return animation.FuncAnimation(fig, animate, init_func=init, + frames=frames, interval=interval) + + +def lorenz_animation(N_trajectories=20, rseed=1, frames=200, interval=30): + """Plot a 3D visualization of the dynamics of the Lorenz system""" + from scipy import integrate + from mpl_toolkits.mplot3d import Axes3D + from matplotlib.colors import cnames + + def lorentz_deriv(coords, t0, sigma=10., beta=8./3, rho=28.0): + """Compute the time-derivative of a Lorentz system.""" + x, y, z = coords + return [sigma * (y - x), x * (rho - z) - y, x * y - beta * z] + + # Choose random starting points, uniformly distributed from -15 to 15 + np.random.seed(rseed) + x0 = -15 + 30 * np.random.random((N_trajectories, 3)) + + # Solve for the trajectories + t = np.linspace(0, 2, 500) + x_t = np.asarray([integrate.odeint(lorentz_deriv, x0i, t) + for x0i in x0]) + + # Set up figure & 3D axis for animation + fig = plt.figure() + ax = fig.add_axes([0, 0, 1, 1], projection='3d') + ax.axis('off') + + # choose a different color for each trajectory + colors = plt.cm.jet(np.linspace(0, 1, N_trajectories)) + + # set up lines and points + lines = sum([ax.plot([], [], [], '-', c=c) + for c in colors], []) + pts = sum([ax.plot([], [], [], 'o', c=c, ms=4) + for c in colors], []) + + # prepare the axes limits + ax.set_xlim((-25, 25)) + ax.set_ylim((-35, 35)) + ax.set_zlim((5, 55)) + + # set point-of-view: specified by (altitude degrees, azimuth degrees) + ax.view_init(30, 0) + + # initialization function: plot the background of each frame + def init(): + for line, pt in zip(lines, pts): + line.set_data([], []) + line.set_3d_properties([]) + + pt.set_data([], []) + pt.set_3d_properties([]) + return lines + pts + + # animation function: called sequentially + def animate(i): + # we'll step two time-steps per frame. This leads to nice results. + i = (2 * i) % x_t.shape[1] + + for line, pt, xi in zip(lines, pts, x_t): + x, y, z = xi[:i + 1].T + line.set_data(x, y) + line.set_3d_properties(z) + + pt.set_data(x[-1:], y[-1:]) + pt.set_3d_properties(z[-1:]) + + ax.view_init(30, 0.3 * i) + fig.canvas.draw() + return lines + pts + + return animation.FuncAnimation(fig, animate, init_func=init, + frames=frames, interval=interval) diff --git a/simpegDCIP/Dev/JSAnimation/html_writer.py b/simpegDCIP/Dev/JSAnimation/html_writer.py new file mode 100644 index 00000000..063d7aa7 --- /dev/null +++ b/simpegDCIP/Dev/JSAnimation/html_writer.py @@ -0,0 +1,327 @@ +import os +import sys +import random +import string +import warnings +if sys.version_info < (3, 0): + from cStringIO import StringIO as InMemory +else: + from io import BytesIO as InMemory +from matplotlib.animation import writers, FileMovieWriter +from base64 import b64encode + + +ICON_DIR = os.path.join(os.path.dirname(__file__), 'icons') + + +class _Icons(object): + """This class is a container for base64 representations of the icons""" + icons = ['first', 'prev', 'reverse', 'pause', 'play', 'next', 'last'] + + def __init__(self, icon_dir=ICON_DIR, extension='png'): + self.icon_dir = icon_dir + self.extension = extension + for icon in self.icons: + setattr(self, icon, + self._load_base64('{0}.{1}'.format(icon, extension))) + + def _load_base64(self, filename): + data = open(os.path.join(self.icon_dir, filename), 'rb').read() + return 'data:image/{0};base64,{1}'.format(self.extension, + b64encode(data).decode('ascii')) + + +JS_INCLUDE = """ + +""" + + +DISPLAY_TEMPLATE = """ +
+ +
+ +
+ + + + + + + + + +
+ Once + Loop + Reflect +
+
+ + + +""" + +INCLUDED_FRAMES = """ + for (var i=0; i<{Nframes}; i++){{ + frames[i] = "{frame_dir}/frame" + ("0000000" + i).slice(-7) + ".{frame_format}"; + }} +""" + + +def _included_frames(frame_list, frame_format): + """frame_list should be a list of filenames""" + return INCLUDED_FRAMES.format(Nframes=len(frame_list), + frame_dir=os.path.dirname(frame_list[0]), + frame_format=frame_format) + + +def _embedded_frames(frame_list, frame_format): + """frame_list should be a list of base64-encoded png files""" + template = ' frames[{0}] = "data:image/{1};base64,{2}"\n' + embedded = "\n" + for i, frame_data in enumerate(frame_list): + embedded += template.format(i, frame_format, + frame_data.replace('\n', '\\\n')) + return embedded + + +@writers.register('html') +class HTMLWriter(FileMovieWriter): + # we start the animation id count at a random number: this way, if two + # animations are meant to be included on one HTML page, there is a + # very small chance of conflict. + rng = random.Random() + exec_key = 'animation.ffmpeg_path' + args_key = 'animation.ffmpeg_args' + supported_formats = ['png', 'jpeg', 'tiff', 'svg'] + + @classmethod + def new_id(cls): + #return '%16x' % cls.rng.getrandbits(64) + return ''.join(cls.rng.choice(string.ascii_uppercase) + for x in range(16)) + + def __init__(self, fps=30, codec=None, bitrate=None, extra_args=None, + metadata=None, embed_frames=False, default_mode='loop'): + self.embed_frames = embed_frames + self.default_mode = default_mode.lower() + + if self.default_mode not in ['loop', 'once', 'reflect']: + self.default_mode = 'loop' + warnings.warn("unrecognized default_mode: using 'loop'") + + self._saved_frames = list() + super(HTMLWriter, self).__init__(fps, codec, bitrate, + extra_args, metadata) + + def setup(self, fig, outfile, dpi, frame_dir=None): + if os.path.splitext(outfile)[-1] not in ['.html', '.htm']: + raise ValueError("outfile must be *.htm or *.html") + + if not self.embed_frames: + if frame_dir is None: + frame_dir = outfile.rstrip('.html') + '_frames' + if not os.path.exists(frame_dir): + os.makedirs(frame_dir) + frame_prefix = os.path.join(frame_dir, 'frame') + else: + frame_prefix = None + + super(HTMLWriter, self).setup(fig, outfile, dpi, + frame_prefix, clear_temp=False) + + def grab_frame(self, **savefig_kwargs): + if self.embed_frames: + suffix = '.' + self.frame_format + f = InMemory() + self.fig.savefig(f, format=self.frame_format, + dpi=self.dpi, **savefig_kwargs) + f.seek(0) + self._saved_frames.append(b64encode(f.read()).decode('ascii')) + else: + return super(HTMLWriter, self).grab_frame(**savefig_kwargs) + + def _run(self): + # make a ducktyped subprocess standin + # this is called by the MovieWriter base class, but not used here. + class ProcessStandin(object): + returncode = 0 + def communicate(self): + return ('', '') + self._proc = ProcessStandin() + + # save the frames to an html file + if self.embed_frames: + fill_frames = _embedded_frames(self._saved_frames, + self.frame_format) + else: + # temp names is filled by FileMovieWriter + fill_frames = _included_frames(self._temp_names, + self.frame_format) + + mode_dict = dict(once_checked='', + loop_checked='', + reflect_checked='') + mode_dict[self.default_mode + '_checked'] = 'checked' + + interval = int(1000. / self.fps) + + with open(self.outfile, 'w') as of: + of.write(JS_INCLUDE) + of.write(DISPLAY_TEMPLATE.format(id=self.new_id(), + Nframes=len(self._temp_names), + fill_frames=fill_frames, + interval=interval, + icons=_Icons(), + **mode_dict)) diff --git a/simpegDCIP/Dev/JSAnimation/icons/first.png b/simpegDCIP/Dev/JSAnimation/icons/first.png new file mode 100644 index 00000000..059e426e Binary files /dev/null and b/simpegDCIP/Dev/JSAnimation/icons/first.png differ diff --git a/simpegDCIP/Dev/JSAnimation/icons/last.png b/simpegDCIP/Dev/JSAnimation/icons/last.png new file mode 100644 index 00000000..b77efb42 Binary files /dev/null and b/simpegDCIP/Dev/JSAnimation/icons/last.png differ diff --git a/simpegDCIP/Dev/JSAnimation/icons/next.png b/simpegDCIP/Dev/JSAnimation/icons/next.png new file mode 100644 index 00000000..b01d3697 Binary files /dev/null and b/simpegDCIP/Dev/JSAnimation/icons/next.png differ diff --git a/simpegDCIP/Dev/JSAnimation/icons/pause.png b/simpegDCIP/Dev/JSAnimation/icons/pause.png new file mode 100644 index 00000000..5274532d Binary files /dev/null and b/simpegDCIP/Dev/JSAnimation/icons/pause.png differ diff --git a/simpegDCIP/Dev/JSAnimation/icons/play.png b/simpegDCIP/Dev/JSAnimation/icons/play.png new file mode 100644 index 00000000..705863c0 Binary files /dev/null and b/simpegDCIP/Dev/JSAnimation/icons/play.png differ diff --git a/simpegDCIP/Dev/JSAnimation/icons/prev.png b/simpegDCIP/Dev/JSAnimation/icons/prev.png new file mode 100644 index 00000000..bbfbb005 Binary files /dev/null and b/simpegDCIP/Dev/JSAnimation/icons/prev.png differ diff --git a/simpegDCIP/Dev/JSAnimation/icons/reverse.png b/simpegDCIP/Dev/JSAnimation/icons/reverse.png new 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:param Tx, Rx + + Output: + :figure Tx2d, Rx2d + + Created on Mon December 7th, 2015 + + @author: dominiquef + + """ + + + Tx2d = [] + Rx2d = [] + + for ii in range(len(Tx)): + + if ii == 0: + endp = Tx[0][0:2,0] + + nrx = Rx[ii].shape[0] + + rP1 = np.sqrt( np.sum( ( endp - Tx[ii][0:2,0] )**2 , axis=0)) + rP2 = np.sqrt( np.sum( ( endp - Tx[ii][0:2,1] )**2 , axis=0)) + rC1 = np.sqrt( np.sum( ( npm.repmat(endp.T,nrx,1) - Rx[ii][:,0:2] )**2 , axis=1)) + rC2 = np.sqrt( np.sum( ( npm.repmat(endp.T,nrx,1) - Rx[ii][:,3:5] )**2 , axis=1)) + + Tx2d.append( np.r_[rP1, rP2] ) + Rx2d.append( np.c_[rC1, rC2] ) + #np.savetxt(fid, data, fmt='%e',delimiter=' ',newline='\n') + + return Tx2d, Rx2d \ No newline at end of file diff --git a/simpegDCIP/Dev/Workspace/gen_DCIPsurvey.py b/simpegDCIP/Dev/Workspace/gen_DCIPsurvey.py new file mode 100644 index 00000000..49ff71d9 --- /dev/null +++ b/simpegDCIP/Dev/Workspace/gen_DCIPsurvey.py @@ -0,0 +1,149 @@ +def gen_DCIPsurvey(endl, mesh, stype, a, b, n): + + from SimPEG import np + import re + """ + Load in endpoints and survey specifications to generate Tx, Rx location + stations. + + Assumes flat topo for now... + + Input: + :param endl -> input endpoints [x1, y1, z1, x2, y2, z2] + :object mesh -> SimPEG mesh object + :switch stype -> "dpdp" (dipole-dipole) | "pdp" (pole-dipole) + : param a, n -> pole seperation, number of rx dipoles per tx + + Output: + :param Tx, Rx -> List objects for each tx location + Lines: P1x, P1y, P1z, P2x, P2y, P2z + + Created on Wed December 9th, 2015 + + @author: dominiquef + + """ + def xy_2_r(x1,x2,y1,y2): + r = np.sqrt( np.sum((x2 - x1)**2 + (y2 - y1)**2) ) + return r + + ## Evenly distribute electrodes and put on surface + # Mesure survey length and direction + dl_len = xy_2_r(endl[0,0],endl[1,0],endl[0,1],endl[1,1]) + + dl_x = ( endl[1,0] - endl[0,0] ) / dl_len + dl_y = ( endl[1,1] - endl[0,1] ) / dl_len + + nstn = np.floor( dl_len / a ) + + # Compute discrete pole location along line + stn_x = endl[0,0] + np.array(range(int(nstn)))*dl_x*a + stn_y = endl[0,1] + np.array(range(int(nstn)))*dl_y*a + + # Create line of P1 locations + M = np.c_[stn_x, stn_y, np.ones(nstn).T*mesh.vectorNz[-1]] + + # Create line of P2 locations + N = np.c_[stn_x+a*dl_x, stn_y+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]] + + ## Build list of Tx-Rx locations depending on survey type + # Dipole-dipole: Moving tx with [a] spacing -> [AB a MN1 a MN2 ... a MNn] + # Pole-dipole: Moving pole on one end -> [A a MN1 a MN2 ... MNn a B] + Tx = [] + Rx = [] + + if not re.match(stype,'gradient'): + + for ii in range(0, int(nstn)-1): + + + if re.match(stype,'dpdp'): + tx = np.c_[M[ii,:],N[ii,:]] + elif re.match(stype,'pdp'): + tx = np.c_[M[ii,:],M[ii,:]] + + #Rx.append(np.c_[M[ii+1:indx,:],N[ii+1:indx,:]]) + + # Current elctrode seperation + AB = xy_2_r(tx[0,1],endl[1,0],tx[1,1],endl[1,1]) + + # Number of receivers to fit + nstn = np.min([np.floor( (AB - b) / a ) , n]) + + # Check if there is enough space, else break the loop + if nstn <= 0: + continue + + # Compute discrete pole location along line + stn_x = N[ii,0] + dl_x*b + np.array(range(int(nstn)))*dl_x*a + stn_y = N[ii,1] + dl_y*b + np.array(range(int(nstn)))*dl_y*a + + # Create receiver poles + # Create line of P1 locations + P1 = np.c_[stn_x, stn_y, np.ones(nstn).T*mesh.vectorNz[-1]] + + # Create line of P2 locations + P2 = np.c_[stn_x+a*dl_x, stn_y+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]] + + Rx.append(np.c_[P1,P2]) + Tx.append(tx) + +#============================================================================== +# elif re.match(stype,'dpdp'): +# +# for ii in range(0, int(nstn)-2): +# +# indx = np.min([ii+n+1,nstn]) +# Tx.append(np.c_[M[ii,:],N[ii,:]]) +# Rx.append(np.c_[M[ii+2:indx,:],N[ii+2:indx,:]]) +#============================================================================== + + elif re.match(stype,'gradient'): + + # Gradient survey only requires Tx at end of line and creates a square + # grid of receivers at in the middle at a pre-set minimum distance + Tx.append(np.c_[M[0,:],N[-1,:]]) + + # Get the edge limit of survey area + min_x = endl[0,0] + dl_x * b + min_y = endl[0,1] + dl_y * b + + max_x = endl[1,0] - dl_x * b + max_y = endl[1,1] - dl_y * b + + box_l = np.sqrt( (min_x - max_x)**2 + (min_y - max_y)**2 ) + box_w = box_l/2. + + nstn = np.floor( box_l / a ) + + # Compute discrete pole location along line + stn_x = min_x + np.array(range(int(nstn)))*dl_x*a + stn_y = min_y + np.array(range(int(nstn)))*dl_y*a + + # Define number of cross lines + nlin = int(np.floor( box_w / a )) + lind = range(-nlin,nlin+1) + + ngrad = nstn * len(lind) + + rx = np.zeros([ngrad,6]) + for ii in range( len(lind) ): + + # Move line in perpendicular direction by dipole spacing + lxx = stn_x - lind[ii]*a*dl_y + lyy = stn_y + lind[ii]*a*dl_x + + + M = np.c_[ lxx, lyy , np.ones(nstn).T*mesh.vectorNz[-1]] + N = np.c_[ lxx+a*dl_x, lyy+a*dl_y, np.ones(nstn).T*mesh.vectorNz[-1]] + + rx[(ii*nstn):((ii+1)*nstn),:] = np.c_[M,N] + + Rx.append(rx) + + else: + print """stype must be either 'pdp', 'dpdp' or 'gradient'. """ + + + + return Tx, Rx diff --git a/simpegDCIP/Dev/Workspace/plot_pseudoSection.py b/simpegDCIP/Dev/Workspace/plot_pseudoSection.py new file mode 100644 index 00000000..cfff120e --- /dev/null +++ b/simpegDCIP/Dev/Workspace/plot_pseudoSection.py @@ -0,0 +1,68 @@ +def plot_pseudoSection(Tx,Rx,data,z0, stype): + + from SimPEG import np, mkvc + from scipy.interpolate import griddata + from matplotlib.colors import LogNorm + import pylab as plt + import re + """ + Read list of 2D tx-rx location and plot a speudo-section of apparent + resistivity. + + Assumes flat topo for now... + + Input: + :param d2D, z0 + :switch stype -> Either 'pdp' (pole-dipole) | 'dpdp' (dipole-dipole) + + Output: + :figure scatter plot overlayed on image + + Created on Mon December 7th, 2015 + + @author: dominiquef + + """ + #d2D = np.asarray(d2D) + + midl = [] + midz = [] + rho = [] + + for ii in range(len(Tx)): + # Get distances between each poles + rC1P1 = np.abs(Tx[ii][0] - Rx[ii][:,0]) + rC2P1 = np.abs(Tx[ii][1] - Rx[ii][:,0]) + rC1P2 = np.abs(Tx[ii][1] - Rx[ii][:,1]) + rC2P2 = np.abs(Tx[ii][0] - Rx[ii][:,1]) + rP1P2 = np.abs(Rx[ii][:,1] - Rx[ii][:,0]) + + # Compute apparent resistivity + if re.match(stype,'pdp'): + rho = np.hstack([rho, data[ii] * 2*np.pi * rC1P1 * ( rC1P1 + rP1P2 ) / rP1P2] ) + + elif re.match(stype,'dpdp'): + rho = np.hstack([rho, data[ii] * 2*np.pi / ( 1/rC1P1 - 1/rC2P1 - 1/rC1P2 + 1/rC2P2 ) ]) + + Cmid = (Tx[ii][0] + Tx[ii][1])/2 + Pmid = (Rx[ii][:,0] + Rx[ii][:,1])/2 + + midl = np.hstack([midl, ( Cmid + Pmid )/2 ]) + midz = np.hstack([midz, -np.abs(Cmid-Pmid)/2 + z0 ]) + + + # Grid points + grid_x, grid_z = np.mgrid[np.min(midl):np.max(midl), np.min(midz):np.max(midz)] + grid_rho = griddata(np.c_[midl,midz], np.log10(abs(1/rho.T)), (grid_x, grid_z), method='linear') + + + #plt.subplot(2,1,2) + plt.imshow(grid_rho.T, extent = (np.min(midl),np.max(midl),np.min(midz),np.max(midz)), origin='lower', alpha=0.8) + cbar = plt.colorbar(format = '%.2f',fraction=0.02) + cmin,cmax = cbar.get_clim() + ticks = np.linspace(cmin,cmax,3) + cbar.set_ticks(ticks) + + # Plot apparent resistivity + plt.scatter(midl,midz,s=50,c=np.log10(abs(1/rho.T))) + diff --git a/simpegDCIP/Dev/Workspace/readUBC_DC2DLoc.py b/simpegDCIP/Dev/Workspace/readUBC_DC2DLoc.py new file mode 100644 index 00000000..e1ba265d --- /dev/null +++ b/simpegDCIP/Dev/Workspace/readUBC_DC2DLoc.py @@ -0,0 +1,57 @@ +def readUBC_DC2DLoc(fileName): + + from SimPEG import np + """ + Read UBC GIF 2D observation file and generate arrays for tx-rx location + + Input: + :param fileName, path to the UBC GIF 2D model file + + Output: + :param rx, tx + :return + + Created on Thu Nov 12 13:14:10 2015 + + @author: dominiquef + + """ + + # Open fileand skip header... assume that we know the mesh already +#============================================================================== +# fopen = open(fileName,'r') +# lines = fopen.readlines() +# fopen.close() +#============================================================================== + + # Load file + obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!') + + # Check first line and figure out if 2D or 3D file format + line = np.array(obsfile[0].split(),dtype=float) + + tx_A = [] + tx_B = [] + rx_M = [] + rx_N = [] + d = [] + wd = [] + + for ii in range(obsfile.shape[0]): + + # If len==3, then simple format where tx-rx is listed on each line + if len(line) == 4: + + temp = np.fromstring(obsfile[ii], dtype=float,sep=' ') + tx_A = np.hstack((tx_A,temp[0])) + tx_B = np.hstack((tx_B,temp[1])) + rx_M = np.hstack((rx_M,temp[2])) + rx_N = np.hstack((rx_N,temp[3])) + + + rx = np.transpose(np.array((rx_M,rx_N))) + tx = np.transpose(np.array((tx_A,tx_B))) + + return tx, rx, d, wd + + diff --git a/simpegDCIP/Dev/Workspace/readUBC_DC2DMesh.py b/simpegDCIP/Dev/Workspace/readUBC_DC2DMesh.py new file mode 100644 index 00000000..f71a7bb3 --- /dev/null +++ b/simpegDCIP/Dev/Workspace/readUBC_DC2DMesh.py @@ -0,0 +1,70 @@ +def readUBC_DC2DMesh(fileName): + + from SimPEG import np + """ + Read UBC GIF 2DTensor mesh and generate 2D Tensor mesh in simpeg + + Input: + :param fileName, path to the UBC GIF mesh file + + Output: + :param SimPEG TensorMesh 2D object + :return + + Created on Thu Nov 12 13:14:10 2015 + + @author: dominiquef + + """ + + # Open file + fopen = open(fileName,'r') + + # Read down the file and unpack dx vector + def unpackdx(fid,nrows): + for ii in range(nrows): + + line = fid.readline() + var = np.array(line.split(),dtype=float) + + if ii==0: + x0= var[0] + xvec = np.ones(int(var[2])) * (var[1] - var[0]) / int(var[2]) + xend = var[1] + + else: + xvec = np.hstack((xvec,np.ones(int(var[1])) * (var[0] - xend) / int(var[1]))) + xend = var[0] + + return x0, xvec + + #%% Start with dx block + # First line specifies the number of rows for x-cells + line = fopen.readline() + nl = np.array(line.split(),dtype=float) + + [x0, dx] = unpackdx(fopen,nl) + + + #%% Move down the file until reaching the z-block + line = fopen.readline() + if not line: + line = fopen.readline() + + #%% End with dz block + # First line specifies the number of rows for z-cells + line = fopen.readline() + nl = np.array(line.split(),dtype=float) + + [z0, dz] = unpackdx(fopen,nl) + + # Flip z0 to be the bottom of the mesh for SimPEG + z0 = z0 - sum(dz) + dz = dz[::-1] + #%% Make the mesh using SimPEG + + from SimPEG import Mesh + tensMsh = Mesh.TensorMesh([dx,dz],(x0, z0)) + return tensMsh + + diff --git a/simpegDCIP/Dev/Workspace/readUBC_DC2DModel.py b/simpegDCIP/Dev/Workspace/readUBC_DC2DModel.py new file mode 100644 index 00000000..999daed6 --- /dev/null +++ b/simpegDCIP/Dev/Workspace/readUBC_DC2DModel.py @@ -0,0 +1,56 @@ +def readUBC_DC2DModel(fileName): + + from SimPEG import np, mkvc + """ + Read UBC GIF 2DTensor model and generate 2D Tensor model in simpeg + + Input: + :param fileName, path to the UBC GIF 2D model file + + Output: + :param SimPEG TensorMesh 2D object + :return + + Created on Thu Nov 12 13:14:10 2015 + + @author: dominiquef + + """ + + # Open fileand skip header... assume that we know the mesh already + + obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!') + + dim = np.array(obsfile[0].split(),dtype=float) + + temp = np.array(obsfile[1].split(),dtype=float) + + if len(temp) > 1: + model = np.zeros(dim) + + for ii in range(len(obsfile)-1): + mm = np.array(obsfile[ii+1].split(),dtype=float) + model[:,ii] = mm + + model = model[:,::-1] + + else: + + if len(obsfile[1:])==1: + mm = np.array(obsfile[1:].split(),dtype=float) + + else: + mm = np.array(obsfile[1:],dtype=float) + + # Permute the second dimension to flip the order + model = mm.reshape(dim[1],dim[0]) + + model = model[::-1,:] + model = np.transpose(model, (1, 0)) + + model = mkvc(model) + + + return model + + diff --git a/simpegDCIP/Dev/Workspace/readUBC_DC3Dobs.py b/simpegDCIP/Dev/Workspace/readUBC_DC3Dobs.py new file mode 100644 index 00000000..ca83513b --- /dev/null +++ b/simpegDCIP/Dev/Workspace/readUBC_DC3Dobs.py @@ -0,0 +1,69 @@ +def readUBC_DC3Dobs(fileName): + + from SimPEG import np + """ + Read UBC GIF DCIP 3D observation file and generate arrays for tx-rx location + + Input: + :param fileName, path to the UBC GIF 3D obs file + + Output: + :param rx, tx, d, wd + :return + + Created on Mon December 7th, 2015 + + @author: dominiquef + + """ + + # Load file + obsfile = np.genfromtxt(fileName,delimiter=' \n',dtype=np.str,comments='!') + + # Pre-allocate + Tx = [] + Rx = [] + d = [] + wd = [] + + # Countdown for number of obs/tx + count = 0 + for ii in range(obsfile.shape[0]): + + if not obsfile[ii]: + continue + + # First line is transmitter with number of receivers + if count==0: + + temp = (np.fromstring(obsfile[ii], dtype=float,sep=' ').T) + count = int(temp[-1]) + temp = np.reshape(temp[0:-1],[2,3]).T + + Tx.append(temp) + rx = [] + continue + + temp = np.fromstring(obsfile[ii], dtype=float,sep=' ') + + + rx.append(temp) + + count = count -1 + + # Reach the end of + if count == 0: + temp = np.asarray(rx) + Rx.append(temp[:,0:6]) + + # Check for data + uncertainties + if temp.shape[1]==8: + d.append(temp[:,6]) + wd.append(temp[:,7]) + + # Check for data only + elif temp.shape[1]==7: + d.append(temp[:,6]) + + return Tx, Rx, d, wd + diff --git a/simpegDCIP/Dev/Workspace/writeUBC_DCobs.py b/simpegDCIP/Dev/Workspace/writeUBC_DCobs.py new file mode 100644 index 00000000..c559b166 --- /dev/null +++ b/simpegDCIP/Dev/Workspace/writeUBC_DCobs.py @@ -0,0 +1,49 @@ +def writeUBC_DCobs(fileName,Tx,Rx,d,wd, dtype): + + from SimPEG import np, mkvc + import re + """ + Read UBC GIF DCIP 3D observation file and generate arrays for tx-rx location + + Input: + :param fileName, path to the UBC GIF 3D obs file + + Output: + :param rx, tx, d, wd + :return + + Created on Mon December 7th, 2015 + + @author: dominiquef + + """ + fid = open(fileName,'w') + fid.write('! GENERAL FORMAT\n') + + for ii in range(len(Tx)): + + tx = np.asarray(Tx[ii]) + rx = np.asarray(Rx[ii]) + nrx = rx.shape[0] + + fid.write('\n') + + if re.match(dtype,'2D'): + + for jj in range(nrx): + + fid.writelines("%e " % ii for ii in mkvc(tx)) + fid.writelines("%e " % ii for ii in mkvc(rx[jj])) + fid.write('%e %e\n'% (d[ii][jj],wd[ii][jj])) + #np.savetxt(fid, np.c_[ rx ,np.asarray(d[ii]), np.asarray(wd[ii]) ], fmt='%e',delimiter=' ',newline='\n') + + elif re.match(dtype,'3D'): + + fid.write('\n') + fid.writelines("%e " % ii for ii in mkvc(tx)) + fid.write('%i\n'% nrx) + np.savetxt(fid, np.c_[ rx ,np.asarray(d[ii]), np.asarray(wd[ii]) ], fmt='%e',delimiter=' ',newline='\n') + + + fid.close() + diff --git a/simpegDCIP/Dev/animation.html b/simpegDCIP/Dev/animation.html new file mode 100644 index 00000000..22cc20f8 --- /dev/null +++ b/simpegDCIP/Dev/animation.html @@ -0,0 +1,191 @@ + + + +
+ +
+ +
+ + + + + + + + + +
+ Once + Loop + Reflect +
+
+ + + diff --git a/simpegDCIP/Dev/dcipf2d.inp b/simpegDCIP/Dev/dcipf2d.inp new file mode 100644 index 00000000..80dbf471 --- /dev/null +++ b/simpegDCIP/Dev/dcipf2d.inp @@ -0,0 +1,5 @@ +FWD DC +MESH FILE Mesh_2D.msh +LOC LOC_X OBS_LOC.dat +TOPO DEFAULT +COND FILE MtIsa_2D.con \ No newline at end of file diff --git a/simpegDCIP/Dev/obs2d_East.loc b/simpegDCIP/Dev/obs2d_East.loc new file mode 100644 index 00000000..6738aef9 --- /dev/null +++ b/simpegDCIP/Dev/obs2d_East.loc @@ -0,0 +1,325 @@ +0 0 75 150 +0 0 150 225 +0 0 225 300 +0 0 300 375 +0 0 375 450 +0 0 450 525 +0 0 525 600 +0 0 600 675 +0 0 675 750 +0 0 750 825 +0 0 825 900 +0 0 900 975 +0 0 975 1050 +0 0 1050 1125 +0 0 1125 1200 +0 0 1200 1275 +0 0 1275 1350 +0 0 1350 1425 +0 0 1425 1500 +0 0 1500 1575 +0 0 1575 1650 +0 0 1650 1725 +0 0 1725 1800 +0 0 1800 1875 +0 0 1875 1950 +75 75 150 225 +75 75 225 300 +75 75 300 375 +75 75 375 450 +75 75 450 525 +75 75 525 600 +75 75 600 675 +75 75 675 750 +75 75 750 825 +75 75 825 900 +75 75 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1800 +1350 1350 1800 1875 +1350 1350 1875 1950 +1425 1425 1500 1575 +1425 1425 1575 1650 +1425 1425 1650 1725 +1425 1425 1725 1800 +1425 1425 1800 1875 +1425 1425 1875 1950 +1500 1500 1575 1650 +1500 1500 1650 1725 +1500 1500 1725 1800 +1500 1500 1800 1875 +1500 1500 1875 1950 +1575 1575 1650 1725 +1575 1575 1725 1800 +1575 1575 1800 1875 +1575 1575 1875 1950 +1650 1650 1725 1800 +1650 1650 1800 1875 +1650 1650 1875 1950 +1725 1725 1800 1875 +1725 1725 1875 1950 +1800 1800 1875 1950 diff --git a/simpegDC/Examples/Verification.py b/simpegDCIP/Examples/Verification.py similarity index 97% rename from simpegDC/Examples/Verification.py rename to simpegDCIP/Examples/Verification.py index b331e955..36a9cf36 100644 --- a/simpegDC/Examples/Verification.py +++ b/simpegDCIP/Examples/Verification.py @@ -1,5 +1,5 @@ from SimPEG import * -import simpegDC as DC +import simpegDCIP as DC import matplotlib.pyplot as plt @@ -26,7 +26,7 @@ def run(plotIt=False): rx = DC.RxDipole(xyz_rxP, xyz_rxN) src = DC.SrcDipole([rx], [-200, 0, -12.5], [+200, 0, -12.5]) survey = DC.SurveyDC([src]) - problem = DC.ProblemDC(mesh) + problem = DC.ProblemDC_CC(mesh) problem.pair(survey) try: from pymatsolver import MumpsSolver diff --git a/simpegDC/Examples/WennerArray.py b/simpegDCIP/Examples/WennerArray.py similarity index 96% rename from simpegDC/Examples/WennerArray.py rename to simpegDCIP/Examples/WennerArray.py index 50041861..ab226ae0 100644 --- a/simpegDC/Examples/WennerArray.py +++ b/simpegDCIP/Examples/WennerArray.py @@ -1,5 +1,5 @@ from SimPEG import * -import simpegDC as DC +import simpegDCIP as DC import matplotlib.pyplot as plt @@ -55,7 +55,7 @@ def example(aSpacing=2.5, nElecs=10, plotIt=False): srcList = getSrcList(nElecs, aSpacing, in2D=True) survey = DC.SurveyDC(srcList) - problem = DC.ProblemDC(mesh) + problem = DC.ProblemDC_CC(mesh) problem.pair(survey) return mesh, survey, problem diff --git a/simpegDC/Examples/__init__.py b/simpegDCIP/Examples/__init__.py similarity index 100% rename from simpegDC/Examples/__init__.py rename to simpegDCIP/Examples/__init__.py diff --git a/simpegDC/Tests/__init__.py b/simpegDCIP/Tests/__init__.py similarity index 100% rename from simpegDC/Tests/__init__.py rename to simpegDCIP/Tests/__init__.py diff --git a/simpegDC/Tests/test_forward_DCproblem.py b/simpegDCIP/Tests/test_forward_DCproblem.py similarity index 93% rename from simpegDC/Tests/test_forward_DCproblem.py rename to simpegDCIP/Tests/test_forward_DCproblem.py index c06eec47..97e92383 100644 --- a/simpegDC/Tests/test_forward_DCproblem.py +++ b/simpegDCIP/Tests/test_forward_DCproblem.py @@ -1,6 +1,6 @@ import unittest from SimPEG import * -import simpegDC as DC +import simpegDCIP as DC class DCProblemTests(unittest.TestCase): @@ -38,8 +38,8 @@ class DCProblemTests(unittest.TestCase): u = np.random.rand(self.mesh.nC*self.survey.nSrc) v = np.random.rand(self.mesh.nC) w = np.random.rand(self.survey.dobs.shape[0]) - wtJv = w.dot(self.p.Jvec(self.m0, v, u=u)) - vtJtw = v.dot(self.p.Jtvec(self.m0, w, u=u)) + wtJv = w.dot(self.p.Jvec(self.m0, v)) + vtJtw = v.dot(self.p.Jtvec(self.m0, w)) passed = np.abs(wtJv - vtJtw) < 1e-10 print 'Adjoint Test', np.abs(wtJv - vtJtw), passed self.assertTrue(passed) diff --git a/simpegDC/Tests/test_forward_DCproblem_analytic.py b/simpegDCIP/Tests/test_forward_DCproblem_analytic.py similarity index 89% rename from simpegDC/Tests/test_forward_DCproblem_analytic.py rename to simpegDCIP/Tests/test_forward_DCproblem_analytic.py index d4677bef..15493115 100644 --- a/simpegDC/Tests/test_forward_DCproblem_analytic.py +++ b/simpegDCIP/Tests/test_forward_DCproblem_analytic.py @@ -1,5 +1,5 @@ import unittest -import simpegDC as DC +import simpegDCIP as DC class DCAnalyticTests(unittest.TestCase): @@ -8,6 +8,5 @@ class DCAnalyticTests(unittest.TestCase): self.assertTrue(DC.Examples.Verification.run() < 0.1) - if __name__ == '__main__': unittest.main() diff --git a/simpegDCIP/Tests/test_forward_IPproblem.py b/simpegDCIP/Tests/test_forward_IPproblem.py new file mode 100644 index 00000000..2a64ee7b --- /dev/null +++ b/simpegDCIP/Tests/test_forward_IPproblem.py @@ -0,0 +1,57 @@ +import unittest +import simpegDCIP as DC +from SimPEG import * +from pymatsolver import MumpsSolver + +class IPforwardTests(unittest.TestCase): + + def test_IPforward(self): + + cs = 12.5 + nc = 500/cs+1 + hx = [(cs,7, -1.3),(cs,nc),(cs,7, 1.3)] + hy = [(cs,7, -1.3),(cs,int(nc/2+1)),(cs,7, 1.3)] + hz = [(cs,7, -1.3),(cs,int(nc/2+1))] + mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN') + sighalf = 1e-2 + sigma = np.ones(mesh.nC)*sighalf + p0 = np.r_[-50., 50., -50.] + p1 = np.r_[ 50.,-50., -150.] + blk_ind = Utils.ModelBuilder.getIndicesBlock(p0, p1, mesh.gridCC) + sigma[blk_ind] = 1e-3 + eta = np.zeros_like(sigma) + eta[blk_ind] = 0.1 + sigmaInf = sigma.copy() + sigma0 = sigma*(1-eta) + + nElecs = 11 + x_temp = np.linspace(-250, 250, nElecs) + aSpacing = x_temp[1]-x_temp[0] + y_temp = 0. + xyz = Utils.ndgrid(x_temp, np.r_[y_temp], np.r_[0.]) + srcList = DC.Examples.WennerArray.getSrcList(nElecs,aSpacing) + survey = DC.SurveyDC(srcList) + + imap = Maps.IdentityMap(mesh) + problem = DC.ProblemDC_CC(mesh, mapping= imap ) + problem.Solver = MumpsSolver + problem.pair(survey) + + phi0 = survey.dpred(sigma0) + phiInf = survey.dpred(sigmaInf) + + phiIP_true = phi0-phiInf + + surveyIP = DC.SurveyIP(srcList) + problemIP = DC.ProblemIP(mesh, sigma=sigma) + problemIP.pair(surveyIP) + problemIP.Solver = MumpsSolver + phiIP_approx = surveyIP.dpred(eta) + + err = np.linalg.norm(phiIP_true-phiIP_approx) / np.linalg.norm(phiIP_true) + + self.assertTrue(err < 0.02) + + +if __name__ == '__main__': + unittest.main() diff --git a/simpegDCIP/Tests/test_sens_IPproblem.py b/simpegDCIP/Tests/test_sens_IPproblem.py new file mode 100644 index 00000000..2145f477 --- /dev/null +++ b/simpegDCIP/Tests/test_sens_IPproblem.py @@ -0,0 +1,80 @@ +import unittest +from SimPEG import * +import simpegDCIP as DC +from pymatsolver import MumpsSolver + + + +class IPProblemTests(unittest.TestCase): + + def setUp(self): + + cs = 12.5 + nc = 500/cs+1 + hx = [(cs,0, -1.3),(cs,nc),(cs,0, 1.3)] + hy = [(cs,0, -1.3),(cs,int(nc/2+1)),(cs,0, 1.3)] + hz = [(cs,0, -1.3),(cs,int(nc/2+1))] + mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN') + sighalf = 1e-2 + sigma = np.ones(mesh.nC)*sighalf + p0 = np.r_[-50., 50., -50.] + p1 = np.r_[ 50.,-50., -150.] + blk_ind = Utils.ModelBuilder.getIndicesBlock(p0, p1, mesh.gridCC) + sigma[blk_ind] = 1e-3 + eta = np.zeros_like(sigma) + eta[blk_ind] = 0.1 + + nElecs = 5 + x_temp = np.linspace(-250, 250, nElecs) + aSpacing = x_temp[1]-x_temp[0] + y_temp = 0. + xyz = Utils.ndgrid(x_temp, np.r_[y_temp], np.r_[0.]) + srcList = DC.Examples.WennerArray.getSrcList(nElecs,aSpacing) + survey = DC.SurveyIP(srcList) + imap = Maps.IdentityMap(mesh) + problem = DC.ProblemIP(mesh, sigma=sigma, mapping= imap) + problem.pair(survey) + problem.Solver = MumpsSolver + + mSynth = eta + survey.makeSyntheticData(mSynth) + + # Now set up the problem to do some minimization + dmis = DataMisfit.l2_DataMisfit(survey) + reg = Regularization.Tikhonov(mesh) + opt = Optimization.InexactGaussNewton(maxIterLS=20, maxIter=10, tolF=1e-6, tolX=1e-6, tolG=1e-6, maxIterCG=6) + invProb = InvProblem.BaseInvProblem(dmis, reg, opt, beta=1e4) + inv = Inversion.BaseInversion(invProb) + + self.inv = inv + self.reg = reg + self.p = problem + self.mesh = mesh + self.m0 = mSynth + self.survey = survey + self.dmis = dmis + + def test_misfit(self): + derChk = lambda m: [self.survey.dpred(m), lambda mx: self.p.Jvec(self.m0, mx)] + passed = Tests.checkDerivative(derChk, self.m0*0, plotIt=False) + self.assertTrue(passed) + + def test_adjoint(self): + # Adjoint Test + u = np.random.rand(self.mesh.nC*self.survey.nSrc) + v = np.random.rand(self.mesh.nC) + w = np.random.rand(self.survey.dobs.shape[0]) + wtJv = w.dot(self.p.Jvec(self.m0, v)) + vtJtw = v.dot(self.p.Jtvec(self.m0, w)) + passed = np.abs(wtJv - vtJtw) < 1e-10 + print 'Adjoint Test', np.abs(wtJv - vtJtw), passed + self.assertTrue(passed) + + def test_dataObj(self): + derChk = lambda m: [self.dmis.eval(m), self.dmis.evalDeriv(m)] + passed = Tests.checkDerivative(derChk, self.m0, plotIt=False) + self.assertTrue(passed) + + +if __name__ == '__main__': + unittest.main() diff --git a/simpegDC/__init__.py b/simpegDCIP/__init__.py similarity index 63% rename from simpegDC/__init__.py rename to simpegDCIP/__init__.py index 3d0e1144..b4fcc915 100644 --- a/simpegDC/__init__.py +++ b/simpegDCIP/__init__.py @@ -1,2 +1,3 @@ from BaseDC import * +from BaseIP import * import Examples