From 291fbb9ecb1e6a1fef218f4d547bdcced3eedbfd Mon Sep 17 00:00:00 2001 From: Gudni Karl Rosenkjaer Date: Wed, 4 Feb 2015 00:02:42 -0800 Subject: [PATCH] Added a new 1D layer test notebook --- MT Script-3D_layerTest.ipynb | 407 +++++++++++++++++++++++++++++++ simpegMT/Base.pyc | Bin 2770 -> 2770 bytes simpegMT/Utils/MT1Danalytic.pyc | Bin 3564 -> 3423 bytes simpegMT/Utils/MT1Dsolutions.pyc | Bin 1557 -> 1463 bytes simpegMT/Utils/__init__.pyc | Bin 233 -> 186 bytes simpegMT/__init__.pyc | Bin 204 -> 157 bytes 6 files changed, 407 insertions(+) create mode 100644 MT Script-3D_layerTest.ipynb diff --git a/MT Script-3D_layerTest.ipynb b/MT Script-3D_layerTest.ipynb new file mode 100644 index 00000000..1986f952 --- /dev/null +++ b/MT Script-3D_layerTest.ipynb @@ -0,0 +1,407 @@ +{ + "metadata": { + "name": "", + "signature": "sha256:23d75b3f3aad0770a3fde98c6b9d9d0cd432bc2436295bb5766d5d6fb21c081c" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [ + "import SimPEG as simpeg\n", + "from scipy.constants import mu_0\n", + "def omega(freq):\n", + " \"\"\"Change frequency to angular frequency, omega\"\"\"\n", + " return 2.*np.pi*freq" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Efficiency Warning: Interpolation will be slow, use setup.py!\n", + "\n", + " python setup.py build_ext --inplace\n", + " \n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# M = Mesh.TensorMesh([[(100.,32)],[(100.,34)],[(100.,18)]], x0='CCC')\n", + "M = simpeg.Mesh.TensorMesh([[(100.,20)],[(100.,20)],[(100.,18)]], x0='CCC')" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 3 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print M" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + " ---- 3-D TensorMesh ---- \n", + " x0: -1000.00\n", + " y0: -1000.00\n", + " z0: -900.00\n", + " nCx: 20\n", + " nCy: 20\n", + " nCz: 18\n", + " hx: 20*100.00\n", + " hy: 20*100.00\n", + " hz: 18*100.00\n" + ] + } + ], + "prompt_number": 4 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Setup the model\n", + "conds = [1e-2,1]\n", + "sig = simpeg.Utils.ModelBuilder.defineBlock(M.gridCC,[-1000,-1000,-300],[1000,1000,-100],conds)\n", + "sig[M.gridCC[:,2]>0] = 1e-8\n", + "sig[M.gridCC[:,2]<-300] = 1e-1\n", + "sigBG = np.zeros(M.nC) + conds[0]\n", + "sigBG[M.gridCC[:,2]>0] = 1e-8\n", + "colorbar(M.plotImage(log10(sig)))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 5, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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AGOBSz+pe6p1S3vT3J+YCYKCIXI5zA7GeiLwC7BKRxqpa6HZ9lI0tygdaeBzf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\n2AuBLKvtBVYAAAAASUVORK5CYII=\n", + "text": [ + "" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Get the mass matrix \n", + "# The model\n", + "Msig = M.getEdgeInnerProduct(sig)\n", + "MsigBG = M.getEdgeInnerProduct(sigBG)\n", + "Mmu = M.getFaceInnerProduct(mu_0, invProp=True)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 6 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "freq = 1e1\n", + "C = M.edgeCurl\n", + "A = C.T*Mmu*C - 1j*omega(freq)*Msig\n", + "ABG = C.T*Mmu*C - 1j*omega(freq)*MsigBG" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 7 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Need to solve x and y polarizations of the source.\n", + "from simpegMT.Utils import get1DEfields\n", + "# Get a 1d solution for a halfspace background\n", + "mesh1d = simpeg.Mesh.TensorMesh([M.hz],np.array([M.x0[2]]))\n", + "e0_1d = get1DEfields(mesh1d,M.r(sigBG,'CC','CC','M')[0,0,:],freq)\n", + "# Setup x (east) polarization (_x)\n", + "ex_x = np.zeros(M.vnEx,dtype=complex)\n", + "ey_x = np.zeros((M.nEy,1),dtype=complex)\n", + "ez_x = np.zeros((M.nEz,1),dtype=complex)\n", + "# Assign the source to ex_x\n", + "for i in arange(M.vnEx[0]):\n", + " for j in arange(M.vnEx[2]):\n", + " ex_x[i,j,:] = e0_1d\n", + "eBG_x = np.vstack((simpeg.Utils.mkvc(M.r(ex_x,'Ex','Ex','V'),2),ey_x,ez_x))\n", + "rhs_x = ABG.dot(eBG_x)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 9 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "M.vnEy" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Setup y (north) polarization (_y)\n", + "ex_y = np.zeros(M.nEx, dtype='complex128')\n", + "ey_y = np.zeros((M.vnEy), dtype='complex128')\n", + "ez_y = np.zeros(M.nEz, dtype='complex128')\n", + "# Assign the source to ex_x\n", + "for i in arange(M.vnEy[0]):\n", + " for j in arange(M.vnEy[2]):\n", + " ey_y[i,j,:] = e0_1d \n", + "# eBG_y = np.vstack((ex_y,Utils.mkvc(M.r(ey_y,'Ey','Ey','V'),2),ez_y))\n", + "# rhs_y = ABG.dot(eBG_y)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 10 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "eBG_y = np.r_[ex_y,simpeg.Utils.mkvc(ey_y),ez_y]\n", + "rhs_y = ABG.dot(eBG_y)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 11 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We are using splu in scipy package. This is bit slow, but on the cluster you can use mumps, which might a lot faster. We can think about having better iterative solver. " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%%time\n", + "# Solve the systems for each polarization\n", + "Ainv = simpeg.SolverLU(A)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "CPU times: user 1min 6s, sys: 872 ms, total: 1min 7s\n", + "Wall time: 1min 8s\n" + ] + } + ], + "prompt_number": 12 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "%%time\n", + "e_x = Ainv*rhs_x\n", + "e_y = Ainv*rhs_y" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "CPU times: user 453 ms, sys: 2 ms, total: 455 ms\n", + "Wall time: 859 ms\n" + ] + } + ], + "prompt_number": 13 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "I want to visualize electrical field, which is a vector, so I average them on to cell center. Also I want to see current density ($\\vec{j} = \\sigma \\vec{e}$)." + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "Meinv = M.getEdgeInnerProduct(np.ones_like(sig), invMat=True)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "j_x = Meinv*Msig*e_x\n", + "j_y = Meinv*Msig*e_x" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 15 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "e_x_CC = M.aveE2CCV*e_x\n", + "e_y_CC = M.aveE2CCV*e_y\n", + "j_x_CC = M.aveE2CCV*j_x\n", + "j_y_CC = M.aveE2CCV*j_y\n", + "# j_x_CC = Utils.sdiag(np.r_[sig, sig, sig])*e_x_CC" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 16 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Then use \"plotSlice\" function, to visualize 2D sections" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "fig, ax = plt.subplots(1,2, figsize = (12, 5))\n", + "dat0 = M.plotSlice(abs(e_x_CC), vType='CCv', view='vec', streamOpts={'color': 'k'}, normal='X', ax = ax[0])\n", + "cb0 = plt.colorbar(dat0[0], ax = ax[0])\n", + "dat1 = M.plotSlice(abs(j_x_CC), vType='CCv', view='vec', streamOpts={'color': 'k'}, normal='X', ax = ax[1])\n", + "cb1 = plt.colorbar(dat1[0], ax = ax[1])" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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ISIFxYoYT78V+K/C2lM0NwDuBj6dmOI8Etr0B+BHgfdHfTwOIyE5g2jnXFZGL8LKGx51z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T9mwwY4VRA3f7ZMT/7sk3Due1CV/t8/ybUb0LtbqDr9JOuQTb+5n9HfvsruhrJuK+v/+jIn3Hyp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\nmGpk5Tae1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ga/lu4rtXZpkaYH2+ZBEiif9MLdar6Sh7mKdOXjMcivEBi7Gq4KYeW2NUCL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\nO+E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+ "text": [ + "" + ] + } + ], + "prompt_number": 17 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Is it reasonable?: Based on that you put resistive target that makes sense to me; current does not want to flow on resistive target so they just do roundabout:). And see air interface. It is continuous on current but not on electric field, which looks reasonable. " + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Calculate the data\n", + "rx_x, rx_y = np.meshgrid(np.arange(-500,501,50),np.arange(-500,501,50))\n", + "rx_loc = np.hstack((simpeg.Utils.mkvc(rx_x,2),simpeg.Utils.mkvc(rx_y,2),np.zeros((np.prod(rx_x.shape),1))))\n", + "# Get the projection matrices\n", + "Qex = M.getInterpolationMat(rx_loc,'Ex')\n", + "Qey = M.getInterpolationMat(rx_loc,'Ey')\n", + "Qez = M.getInterpolationMat(rx_loc,'Ez')\n", + "Qfx = M.getInterpolationMat(rx_loc,'Fx')\n", + "Qfy = M.getInterpolationMat(rx_loc,'Fy')\n", + "Qfz = M.getInterpolationMat(rx_loc,'Fz')" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 24 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "e_x_loc = np.r_[simpeg.Utils.mkvc(Qex*e_x),simpeg.Utils.mkvc(Qey*e_x),simpeg.Utils.mkvc(Qez*e_x)]\n", + "e_y_loc = np.r_[simpeg.Utils.mkvc(Qex*e_y),simpeg.Utils.mkvc(Qey*e_y),simpeg.Utils.mkvc(Qez*e_y)]\n", + "h_x_loc = np.r_[simpeg.Utils.mkvc(Qfx*C*e_x),simpeg.Utils.mkvc(Qfy*C*e_x),simpeg.Utils.mkvc(Qfz*C*e_x)]\n", + "h_y_loc = np.r_[simpeg.Utils.mkvc(Qfx*C*e_y),simpeg.Utils.mkvc(Qfy*C*e_y),simpeg.Utils.mkvc(Qfz*C*e_y)]" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 26 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/simpegMT/Base.pyc b/simpegMT/Base.pyc index 52126b7f0f4f73181f2f10aad6e10d1f27368495..68c17beb54d246fd7f437166bb764b0c2bd4fa25 100644 GIT binary patch delta 17 Zcmca4dP$Un`75`7~0*!z6=Zu`njnonTh)8r73xt`mPlvMTss&nPsVl`p)?& tsm1yQl_eSZdHThfxdo}|xh49W13AoC$k8}CkVAg*DxONR^}6v&0sxd7L5TnW diff --git a/simpegMT/Utils/MT1Dsolutions.pyc b/simpegMT/Utils/MT1Dsolutions.pyc index b75232462e08030b2792d42f0c5319bbf995b6c6..2a1e4bf6d275c78f1d28888c4e9de5bbf441699d 100644 GIT binary patch delta 39 pcmbQrvz?or`7++Ku+5a;e`!O&u=;x-UWG3pTm!{-p>bq8y6eYS8WtOEH>O1GB nq!#NJRF-7q=jj(`<`$%;=a%Si=3+@z&G`7K1*z$|CHfOPi~vwn80i22 diff --git a/simpegMT/__init__.pyc b/simpegMT/__init__.pyc index 90172de163c4a7264da5e90ad543c6b829dfafa3..71062585964906c4677da430ee3eb3656a899ce2 100644 GIT binary patch delta 23 fcmX@ZIG2%~`7Hq*d+ZccV