From 898215222ae627293e20b4b23a7d5a4a49bf53b4 Mon Sep 17 00:00:00 2001 From: seogi_macbook Date: Thu, 26 Nov 2015 15:06:22 -0800 Subject: [PATCH 1/3] play with fwd --- notebooks/CircModel-Copy1.ipynb | 402 +++++++++++++ notebooks/CircModel.ipynb | 506 ++++++++++++++++ notebooks/DC forward.ipynb | 426 +++++++++++++ notebooks/DC_schumberger_FWD.ipynb | 934 +++++++++++++++-------------- notebooks/DCexample.ipynb | 228 ++++++- notebooks/IPinverse.ipynb | 113 +++- simpegDCIP/BaseDC.py | 30 +- 7 files changed, 2105 insertions(+), 534 deletions(-) create mode 100644 notebooks/CircModel-Copy1.ipynb create mode 100644 notebooks/CircModel.ipynb create mode 100644 notebooks/DC forward.ipynb 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/DC_schumberger_FWD.ipynb b/notebooks/DC_schumberger_FWD.ipynb index acc53c69..aa24bfac 100644 --- a/notebooks/DC_schumberger_FWD.ipynb +++ b/notebooks/DC_schumberger_FWD.ipynb @@ -1,470 +1,484 @@ { - "metadata": { - "name": "", - "signature": "sha256:788d43ec10deaa6de8f97cf0db8cb6daa952455b30356e2a2a83472d9d0d4c10" - }, - "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 simpegDCIP 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" - ] - }, - { - "output_type": "stream", - "stream": "stderr", - "text": [ - "Vendor: Continuum Analytics, Inc.\n", - "Package: mkl\n", - "Message: trial mode expires in 29 days\n" - ] - } - ], - "prompt_number": 1 - }, - { - "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": 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": [ - "mesh.plotGrid()" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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Qucl4q0oiFAohyzI+nw9HUvPccDiMpmm8+WY2f/mL+a03aZLK5MlaQs/RMWMc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\nOzt37sxV7L8wKC8DDoWBo6ZbwhBCkJGRQUxMDJGRkRrhu1atWhpvuHn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- "text": [ - "" - ] - } - ], - "prompt_number": 4 - }, - { - "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": 5 - }, - { - "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": 6 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "ntx = 16" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 7 - }, - { - "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": 8 - }, - { - "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": 9, - "text": [ - "(-600, 600)" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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- "text": [ - "" - ] - } - ], - "prompt_number": 9 - }, - { - "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": 10, - "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": 10 - }, - { - "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": 11 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "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" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 13 - }, - { - "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 5.26 s, sys: 554 ms, total: 5.81 s\n", - "Wall time: 4.06 s\n" - ] - } - ], - "prompt_number": 14 - }, - { - "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": 15, - "text": [ - "" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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- "text": [ - "" - ] - } - ], - "prompt_number": 15 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 15 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 15 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 15 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 15 - }, - { - "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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\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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DuJrW19czD9ZGvW61yigilVWJIBKlY30OOEew9Mm0B8vEnwSOeTiCqohrbOpY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\nMgUREREp2f8P7ZpFX47AZacAAAAASUVORK5CYII=\n", + "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/DCexample.ipynb b/notebooks/DCexample.ipynb index 1ef758cb..e9b969b8 100644 --- a/notebooks/DCexample.ipynb +++ b/notebooks/DCexample.ipynb @@ -29,9 +29,16 @@ "%pylab inline" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Step1 Generate mesh " + ] + }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 3, "metadata": { "collapsed": false }, @@ -45,7 +52,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -56,7 +63,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 10, "metadata": { "collapsed": false }, @@ -71,7 +78,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 11, "metadata": { "collapsed": false }, @@ -79,11 +86,11 @@ { "data": { "text/plain": [ - "(,\n", - " )" + "(,\n", + " )" ] }, - "execution_count": 8, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, @@ -91,7 +98,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -104,7 +111,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 18, "metadata": { "collapsed": false }, @@ -112,14 +119,14 @@ "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_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.])" + "# xyz_rxM = Utils.ndgrid(xtemp, ytemp, np.r_[0.])" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 19, "metadata": { "collapsed": false }, @@ -127,10 +134,44 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 10, + "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" }, @@ -138,7 +179,7 @@ "data": { "image/png": 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mWyX9jqRhSV919891eUmo0Ouvvy6p5t9sevrpt/4+09MZv9n0ltjxVCy12ZSZ9zS/2bSM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\nEPT/Ac5ECZ93vwuPAAAAAElFTkSuQmCC\n", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -154,32 +195,102 @@ }, { "cell_type": "code", - "execution_count": 11, + "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_rxP, xyz_rxN)\n", + "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": 12, + "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([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": 13, + "execution_count": 31, "metadata": { "collapsed": false }, @@ -194,7 +305,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 43, "metadata": { "collapsed": false }, @@ -203,14 +314,77 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 1.15 s, sys: 155 ms, total: 1.3 s\n", - "Wall time: 941 ms\n" + "CPU times: user 1.25 s, sys: 177 ms, total: 1.42 s\n", + "Wall time: 970 ms\n" ] } ], "source": [ "%%time\n", - "data = survey.dpred(sigmahomo)" + "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)" ] }, { @@ -227,14 +401,14 @@ }, { "cell_type": "code", - "execution_count": 18, + "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)))" + "# Msig1 = Utils.sdiag(1./(mesh.aveF2CC.T*(1./sigma)))\n", + "# Msig2 = Utils.sdiag(1./(mesh.aveF2CC.T*(1./sigmahomo)))" ] }, { diff --git a/notebooks/IPinverse.ipynb b/notebooks/IPinverse.ipynb index 65944715..5c3ad95a 100644 --- a/notebooks/IPinverse.ipynb +++ b/notebooks/IPinverse.ipynb @@ -18,9 +18,8 @@ "name": "stderr", "output_type": "stream", "text": [ - "Vendor: Continuum Analytics, Inc.\n", - "Package: mkl\n", - "Message: trial mode expires in 11 days\n" + "WARNING: pylab import has clobbered these variables: ['linalg']\n", + "`%matplotlib` prevents importing * from pylab and numpy\n" ] } ], @@ -86,7 +85,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -102,7 +101,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 6, "metadata": { "collapsed": false }, @@ -114,7 +113,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -126,7 +125,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 8, "metadata": { "collapsed": false }, @@ -137,15 +136,15 @@ "(-600.0, 600.0, -600.0, 0.0)" ] }, - "execution_count": 11, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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SKuAU2y1n9PRqguj/AmYCd5eTbf7e9lW2t0u6DdgOHACuasjcVwEfB06huPp8VKKPiJhu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\nFngV8PWyfD1wi6Q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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -160,7 +159,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 9, "metadata": { "collapsed": false }, @@ -175,7 +174,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 10, "metadata": { "collapsed": false }, @@ -196,7 +195,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 11, "metadata": { "collapsed": false }, @@ -204,18 +203,18 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 14, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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Ri9L3M1Mbz8vlfARYExH/lr7fBRwFHNyvrqRPAecAnwNeHhH/VdSspp3DOQi4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\n7nb9HuC4iPhZrmgk2t9D/qK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pEfGmona1cobTyb13CrNG5/fLKyp3vP5tO97MeBPbNGi8bHmvvDL5pZXopddtzl59dD/e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\ntX1JrwU+FBGL0/e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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -237,7 +236,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 12, "metadata": { "collapsed": false }, @@ -257,19 +256,67 @@ }, { "cell_type": "code", - "execution_count": 16, + "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": [ - "phi0 = survey.dpred(sigma0)\n", "phiInf = survey.dpred(sigmaInf)" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 23, "metadata": { "collapsed": false }, @@ -280,7 +327,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 24, "metadata": { "collapsed": false }, @@ -291,7 +338,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 25, "metadata": { "collapsed": false }, @@ -314,7 +361,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 26, "metadata": { "collapsed": false }, @@ -322,19 +369,19 @@ { "data": { "text/plain": [ - "[,\n", - " ]" + "[,\n", + " ]" ] }, - "execution_count": 20, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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1t9o87g9Rnyou/gBgMVowJZwcOjecv/IFRJNDbHSXYEE43ShbiImJoptqXuBo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\nT1ySdBtR4RGdrFCj0ViRZg1CREKBZ4GJwFBgmohk+eSZDAx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ii6d4gXA1OYnMrV2BiMfhPe+B6emVHsmFhxYIjSEkzDE620qfZ7+jexO+2aOk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\n2pzcUy7ssfb2qKpRxgzoQ1Wno5SWB85KkvlVTs6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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -349,7 +396,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 27, "metadata": { "collapsed": false }, @@ -360,7 +407,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 28, "metadata": { "collapsed": false }, @@ -380,7 +427,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 29, "metadata": { "collapsed": false }, @@ -394,7 +441,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 30, "metadata": { "collapsed": false }, diff --git a/simpegDCIP/BaseDC.py b/simpegDCIP/BaseDC.py index f03908da..258f70b1 100644 --- a/simpegDCIP/BaseDC.py +++ b/simpegDCIP/BaseDC.py @@ -15,29 +15,31 @@ class FieldsDC_CC(Problem.Fields): 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 + # 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 + # 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.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 + + 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 @@ -176,7 +178,7 @@ class ProblemDC_CC(Problem.BaseProblem): 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[0,0] /= self.mesh.vol[0] self._A = self._A.tocsc() return self._A From 3215730d23b2fe68b8a5dced83b97558aa6209ea Mon Sep 17 00:00:00 2001 From: seogi_macbook Date: Wed, 2 Dec 2015 23:12:36 -0800 Subject: [PATCH 2/3] minor change --- notebooks/IPinverse.ipynb | 82 +++++++++++++++++++++++++++++++++++---- 1 file changed, 74 insertions(+), 8 deletions(-) diff --git a/notebooks/IPinverse.ipynb b/notebooks/IPinverse.ipynb index 5c3ad95a..56e000d4 100644 --- a/notebooks/IPinverse.ipynb +++ b/notebooks/IPinverse.ipynb @@ -85,7 +85,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 31, "metadata": { "collapsed": false }, @@ -101,7 +101,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 32, "metadata": { "collapsed": false }, @@ -113,7 +113,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 33, "metadata": { "collapsed": false }, @@ -125,7 +125,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 34, "metadata": { "collapsed": false }, @@ -136,7 +136,7 @@ "(-600.0, 600.0, -600.0, 0.0)" ] }, - "execution_count": 8, + "execution_count": 34, "metadata": {}, "output_type": "execute_result" }, @@ -144,7 +144,7 @@ "data": { "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -159,7 +159,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 35, "metadata": { "collapsed": false }, @@ -174,7 +174,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 36, "metadata": { "collapsed": false }, @@ -193,6 +193,72 @@ "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, From 9b65fa80c99f2f71ceeb3b0dce19271f05880969 Mon Sep 17 00:00:00 2001 From: Rowan Cockett Date: Thu, 4 Feb 2016 09:16:14 -0800 Subject: [PATCH 3/3] getIndicesBlock typo. --- simpegDCIP/Tests/test_forward_IPproblem.py | 8 ++++---- simpegDCIP/Tests/test_sens_IPproblem.py | 2 +- 2 files changed, 5 insertions(+), 5 deletions(-) diff --git a/simpegDCIP/Tests/test_forward_IPproblem.py b/simpegDCIP/Tests/test_forward_IPproblem.py index 5a4e9fd5..2a64ee7b 100644 --- a/simpegDCIP/Tests/test_forward_IPproblem.py +++ b/simpegDCIP/Tests/test_forward_IPproblem.py @@ -6,7 +6,7 @@ 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)] @@ -17,7 +17,7 @@ class IPforwardTests(unittest.TestCase): sigma = np.ones(mesh.nC)*sighalf p0 = np.r_[-50., 50., -50.] p1 = np.r_[ 50.,-50., -150.] - blk_ind = Utils.ModelBuilder.getIndecesBlock(p0, p1, mesh.gridCC) + blk_ind = Utils.ModelBuilder.getIndicesBlock(p0, p1, mesh.gridCC) sigma[blk_ind] = 1e-3 eta = np.zeros_like(sigma) eta[blk_ind] = 0.1 @@ -36,7 +36,7 @@ class IPforwardTests(unittest.TestCase): problem = DC.ProblemDC_CC(mesh, mapping= imap ) problem.Solver = MumpsSolver problem.pair(survey) - + phi0 = survey.dpred(sigma0) phiInf = survey.dpred(sigmaInf) @@ -49,7 +49,7 @@ class IPforwardTests(unittest.TestCase): phiIP_approx = surveyIP.dpred(eta) err = np.linalg.norm(phiIP_true-phiIP_approx) / np.linalg.norm(phiIP_true) - + self.assertTrue(err < 0.02) diff --git a/simpegDCIP/Tests/test_sens_IPproblem.py b/simpegDCIP/Tests/test_sens_IPproblem.py index 6b8160a3..2145f477 100644 --- a/simpegDCIP/Tests/test_sens_IPproblem.py +++ b/simpegDCIP/Tests/test_sens_IPproblem.py @@ -19,7 +19,7 @@ class IPProblemTests(unittest.TestCase): sigma = np.ones(mesh.nC)*sighalf p0 = np.r_[-50., 50., -50.] p1 = np.r_[ 50.,-50., -150.] - blk_ind = Utils.ModelBuilder.getIndecesBlock(p0, p1, mesh.gridCC) + blk_ind = Utils.ModelBuilder.getIndicesBlock(p0, p1, mesh.gridCC) sigma[blk_ind] = 1e-3 eta = np.zeros_like(sigma) eta[blk_ind] = 0.1