From 2fbcc076f9859d550ccdb6577089f95417328ac9 Mon Sep 17 00:00:00 2001 From: D Fournier Date: Wed, 2 Dec 2015 18:42:30 -0800 Subject: [PATCH] DC FWR 3D demo started --- notebooks/DC_Forward_Live.ipynb | 536 + notebooks/DCexample.ipynb | 107 +- simpegDCIP/Dev/DC3D_fwr_live.py | 85 + simpegDCIP/Dev/DC3D_fwr_live_v1.py | 122 + simpegDCIP/Dev/Mesh_40m.msh | 5 + simpegDCIP/Dev/Synthetic.con | 14415 +++++++++++++++++++++++++++ 6 files changed, 15232 insertions(+), 38 deletions(-) create mode 100644 notebooks/DC_Forward_Live.ipynb create mode 100644 simpegDCIP/Dev/DC3D_fwr_live.py create mode 100644 simpegDCIP/Dev/DC3D_fwr_live_v1.py create mode 100644 simpegDCIP/Dev/Mesh_40m.msh create mode 100644 simpegDCIP/Dev/Synthetic.con diff --git a/notebooks/DC_Forward_Live.ipynb b/notebooks/DC_Forward_Live.ipynb new file mode 100644 index 00000000..1d724eaf --- /dev/null +++ b/notebooks/DC_Forward_Live.ipynb @@ -0,0 +1,536 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 5, + "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": 6, + "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": 7, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "mesh = Mesh.TensorMesh([hx, hy, hz], 'CCN')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "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": 33, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(,\n", + " )" + ] + }, + "execution_count": 33, + "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": 10, + "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": 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 = (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": [ + { + "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": 13, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "survey = DC.SurveyDC([tx])\n", + "problem = DC.ProblemDC_CC(mesh)\n", + "problem.pair(survey)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "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": 10, + "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": 18, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "problem.Solver = SolverLU\n", + "\n", + "data = survey.dpred(sigmahomo)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "441" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "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": "2.7.10" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/notebooks/DCexample.ipynb b/notebooks/DCexample.ipynb index 1ef758cb..e435b505 100644 --- a/notebooks/DCexample.ipynb +++ b/notebooks/DCexample.ipynb @@ -11,6 +11,10 @@ "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" ] }, @@ -56,7 +60,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 4, "metadata": { "collapsed": false }, @@ -71,7 +75,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 5, "metadata": { "collapsed": false }, @@ -79,19 +83,19 @@ { "data": { "text/plain": [ - "(,\n", - " )" + "(,\n", + " )" ] }, - "execution_count": 8, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -104,7 +108,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 6, "metadata": { "collapsed": false }, @@ -119,7 +123,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 7, "metadata": { "collapsed": false }, @@ -127,18 +131,18 @@ { "data": { "text/plain": [ - "[]" + "[]" ] }, - "execution_count": 10, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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"text/plain": [ - "" + "" ] }, "metadata": {}, @@ -154,7 +158,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 8, "metadata": { "collapsed": false }, @@ -166,7 +170,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 9, "metadata": { "collapsed": false }, @@ -179,7 +183,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 11, "metadata": { "collapsed": false }, @@ -194,28 +198,43 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { - "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" + "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": [ - "%%time\n", + "from pymatsolver import MumpsSolver" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "problem.Solver = SolverLU\n", + "\n", "data = survey.dpred(sigmahomo)" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 14, "metadata": { "collapsed": false }, @@ -227,7 +246,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 15, "metadata": { "collapsed": false }, @@ -239,7 +258,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 16, "metadata": { "collapsed": false }, @@ -251,19 +270,31 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 22, "metadata": { "collapsed": false }, - "outputs": [], + "outputs": [ + { + "ename": "TypeError", + "evalue": "unsupported operand type(s) for -: 'FieldsDC_CC' and 'FieldsDC_CC'", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mTypeError\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[0mus\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mu1\u001b[0m\u001b[1;33m-\u001b[0m\u001b[0mu2\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m 2\u001b[0m \u001b[0mjs\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mj1\u001b[0m\u001b[1;33m-\u001b[0m\u001b[0mj2\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n", + "\u001b[1;31mTypeError\u001b[0m: unsupported operand type(s) for -: 'FieldsDC_CC' and 'FieldsDC_CC'" + ] + } + ], "source": [ - "# us = u1-u2\n", - "# js = j1-j2" + "us = u1-u2\n", + "js = j1-j2" ] }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 18, "metadata": { "collapsed": false }, @@ -274,15 +305,15 @@ "(-300, 0)" ] }, - "execution_count": 22, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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WhWvyqlOnOBcudKNLl1L4+gYwbtxpkpN1rEebg6OjCdu3V2X+fFc+/vg+Q4aE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\nmyRJGTIdBIqnb+cW+c5IkpRVzHKukO8NagBJkiRdkiTpJRCKWs73BkmS9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tXbgmrzp1inPhQje6dCmFr28A48adJjlZx3q0OTg6mrB9e1XmzXPl44/vM2RI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\nQZcu63QqEZXKnLCwQGJirjJ+fPal47VhaWnOggUtGDQoSuds3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"\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[0mjs\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 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+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_v1.py b/simpegDCIP/Dev/DC3D_fwr_live_v1.py new file mode 100644 index 00000000..a577364c --- /dev/null +++ b/simpegDCIP/Dev/DC3D_fwr_live_v1.py @@ -0,0 +1,122 @@ +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, sp +import simpegDCIP as DC +import pylab as plt +import time + +# 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 +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 ) +nrx = nstn-1 + +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 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. + +# Factor A matrix +Ainv = sp.linalg.splu(A) + +#%% Forward model data +data = np.zeros( nstn*nrx ) +problem = DC.ProblemDC_CC(mesh) +fig = plt.figure() + + + + +for ii in range(0, int(nstn)): + start_time = time.time() + + rxloc_M = np.r_[M[0:ii,:],M[ii+1:,:]] + rxloc_N = np.r_[N[0:ii,:],N[ii+1:,:]] + + + Rx = DC.RxDipole(rxloc_M,rxloc_N) + + Tx = DC.SrcDipole([Rx], M[ii,:],N[ii,:]) + survey = DC.SurveyDC([Tx]) + + problem.pair(survey) + + # Get the righthand side + RHS = problem.getRHS() + + # Solve for phi + P1 = mesh.getInterpolationMat(rxloc_M, 'CC') + P2 = mesh.getInterpolationMat(rxloc_N, 'CC') + + phi = Ainv.solve(RHS) + d = P1*phi - P2*phi + + data[(nrx*(ii)):nrx+(nrx*(ii))] = d.T#survey.dpred(model) + + # Plot pseudo section along line + txmidx = endp[0,0] - np.mean(np.c_[M[ii,0],N[ii,0]]) + rxmidx = endp[0,0] - np.mean( np.c_[rxloc_M[:,0], rxloc_N[:,0]], axis=1 ) + + txmidy = endp[0,1] - np.mean(np.c_[M[ii,1],N[ii,1]]) + rxmidy = endp[0,1] - np.mean( np.c_[rxloc_M[:,1], rxloc_N[:,1]], axis=1 ) + + rxmid = np.sqrt(rxmidx**2 + rxmidy**2) + txmid = np.sqrt(txmidx**2 + txmidy**2) + + midp = ( rxmid + txmid )/2 + + print("--- %s seconds ---" % (time.time() - start_time)) + + plt.scatter(midp,-np.abs(txmid-midp),s=50,c=data[(nrx*(ii)):nrx+(nrx*(ii))]) + + diff --git a/simpegDCIP/Dev/Mesh_40m.msh b/simpegDCIP/Dev/Mesh_40m.msh new file mode 100644 index 00000000..50b88f71 --- /dev/null +++ b/simpegDCIP/Dev/Mesh_40m.msh 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