diff --git a/MT Script-3D_twoHalfspace-simpegMT.ipynb b/MT Script-3D_twoHalfspace-simpegMT.ipynb deleted file mode 100644 index b9067c19..00000000 --- a/MT Script-3D_twoHalfspace-simpegMT.ipynb +++ /dev/null @@ -1,3144 +0,0 @@ -{ - "cells": [ - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "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" - ] - }, - { - "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" - ] - } - ], - "source": [ - "%pylab inline" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "2529.536000000001" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "np.sum(100*np.cumprod(np.ones(5)*1.6))\n", - "\n", - " " - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# M = Mesh.TensorMesh([[(100.,32)],[(100.,34)],[(100.,18)]], x0='CCC')\n", - "# M = simpeg.Mesh.TensorMesh([[(100,5,-1.5),(100.,5),(100,5,1.5)],[(100,5,-1.5),(100.,5),(100,5,1.5)],[(100,5,-1.5),(100.,10),(100,5,1.5)]], x0=['C','C','C'])\n", - "M = simpeg.Mesh.TensorMesh([[(1000,6,-1.5),(1000.,6),(1000,6,1.5)],[(1000,6,-1.5),(1000.,2),(1000,6,1.5)],[(1000,10,-1.3),(1000.,2),(1000,10,1.3)]], x0=['C','C','C'])# Setup the model\n" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[ -5.64053465e+04 -4.26194973e+04 -3.20149979e+04 -2.38576907e+04\n", - " -1.75828390e+04 -1.27560300e+04 -9.04310000e+03 -6.18700000e+03\n", - " -3.99000000e+03 -2.30000000e+03 -1.00000000e+03 7.27595761e-12\n", - " 1.00000000e+03 2.30000000e+03 3.99000000e+03 6.18700000e+03\n", - " 9.04310000e+03 1.27560300e+04 1.75828390e+04 2.38576907e+04\n", - " 3.20149979e+04 4.26194973e+04 5.64053465e+04]\n" - ] - } - ], - "source": [ - "print M.vectorNz" - ] - }, - { - "cell_type": "code", - "execution_count": 74, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 74, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": [ - "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEKCAYAAAD3tSVSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", - "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xl4FeX1wPHvySrIDhoWQZCiZd8EVGrBBUStKBUBrUAV\n", - "64KKVftT0VZCFxVbtVqXSivWBURcEBFRUAmKCigCgoCAEEhCghDWiCwJ5/fHTOAm3DW5u+fzPPdh\n", - "7sw7c8+5N5w79513ZkRVMcYYk5xSYh2AMcaYyLEib4wxScyKvDHGJDEr8sYYk8SsyBtjTBKzIm+M\n", - "MUnMirwxxiQxK/ImoYnIVSLypYjsFZEtIvKuiPR2l50qIq+JyDYR2SUiy0XkdhGxv3vzk2F/7CZh\n", - 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"# sigBG = np.zeros(M.nC) + conds[0]\n", - "# sigBG[M.gridCC[:,2]>0] = 1e-8\n", - "sigBG = np.ones(M.nC)*conds[0]\n", - "sigBG[M.gridCC[:,2]>elev] = 1e-8\n", - "colorbar(M.plotImage(log10(sig)))\n", - "colorbar(M.plotImage(log10(sigBG)))\n" - ] - }, - { - "cell_type": "code", - "execution_count": 75, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# 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)" - ] - }, - { - "cell_type": "code", - "execution_count": 76, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "freq = 1.0\n", - "C = M.edgeCurl\n", - "A = C.T*Mmu*C - 1j*omega(freq)*Msig\n", - "ARH = -(C.T*Mmu*C - 1j*omega(freq)*MsigBG)" - ] - }, - { - "cell_type": "code", - "execution_count": 77, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 13.9 s, sys: 1.17 s, total: 15 s\n", - "Wall time: 15 s\n" - ] - } - ], - "source": [ - "%%time\n", - "# Solve the systems for each polarization\n", - "Ainv = simpeg.SolverLU(A)" - ] - }, - { - "cell_type": "code", - "execution_count": 78, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# 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,sourceAmp=None).conj()\n", - "# Setup the primary field (p) for the x (east) polarization (_px)\n", - "ex_px = np.zeros((M.vnEx),dtype=complex)\n", - "ey_px = np.zeros(M.nEy,dtype=complex)\n", - "ez_px = np.zeros(M.nEz,dtype=complex)\n", - "# Assign the source to ex_x\n", - "for i in arange(M.vnEx[0]):\n", - " for j in arange(M.vnEx[1]):\n", - " ex_px[i,j,:] = -e0_1d\n", - "ep_px = np.r_[simpeg.Utils.mkvc(ex_px),ey_px,ez_px]\n", - "rhs_px = ARH.dot(ep_px)" - ] - }, - { - "cell_type": "code", - "execution_count": 79, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Setup y (north) polarization (_y)\n", - "ex_py = np.zeros(M.nEx, dtype='complex128')\n", - "ey_py = np.zeros((M.vnEy), dtype='complex128')\n", - "ez_py = np.zeros(M.nEz, dtype='complex128')\n", - "# Assign the source to ey_y\n", - "for i in arange(M.vnEy[0]):\n", - " for j in arange(M.vnEy[1]):\n", - " ey_py[i,j,:] = e0_1d \n", - " \n", - "ep_py = np.r_[ex_py,simpeg.Utils.mkvc(ey_py),ez_py]\n", - "rhs_py = ARH.dot(ep_py)" - ] - }, - { - "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", - "execution_count": 80, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 146 ms, sys: 73 µs, total: 146 ms\n", - "Wall time: 145 ms\n" - ] - } - ], - "source": [ - "%%time\n", - "es_px = Ainv*rhs_px\n", - "es_py = Ainv*rhs_py" - ] - }, - { - "cell_type": "code", - "execution_count": 93, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "# Need to sum the ep and es to get the total field.\n", - "e_x = es_px #+ ep_px\n", - "e_y = es_py #+ ep_py" - ] - }, - { - "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", - "execution_count": 94, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "Meinv = M.getEdgeInnerProduct(np.ones_like(sig), invMat=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 95, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "j_x = Meinv*Msig*e_x\n", - "j_y = Meinv*Msig*e_x" - ] - }, - { - "cell_type": "code", - "execution_count": 96, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "(18598,)" - ] - }, - "execution_count": 96, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "e_x.shape" - ] - }, - { - "cell_type": "code", - "execution_count": 97, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "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" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Then use \"plotSlice\" function, to visualize 2D sections" - ] - }, - { - "cell_type": "code", - "execution_count": 98, - "metadata": { - "collapsed": false, - "scrolled": true - }, - "outputs": [ - { - "data": { - "image/png": [ - "iVBORw0KGgoAAAANSUhEUgAAAtUAAAFRCAYAAAC7elE4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", - "AAALEgAACxIB0t1+/AAAIABJREFUeJzsnWd4VFXXhu8NCR0BRRQriCh2xQ4ioH6+9gJYXitF6QFC\n", - "Db2EIr0JAtJ777333psU6aGGnpCQMrO/H2vmTYA0MmcfBjj3dc0FSWZmnzNzZs/aaz/rWUprjYOD\n", - "g4ODg4ODg4ND+slwqw/AwcHBwcHBwcHB4XbHCaodHBwcHBwcHBwcfMQJqh0cHBwcHBwcHBx8xAmq\n", - "HRwcHBwcHBwcHHzECaodHBwcHBwcHBwcfMQJqh0cHBwcHBwcHBx8xAmqHW5blFLllVIrEv0coZQq\n", - "cOuOyMHBwcEhOZw52+FOxwmqHfwapdQ7SqnVSqmLSqlzSqmVSqnXkrqv1jqn1vqwxeNHeiZ+7y1e\n", - "KdXLyjEcHBwc7hScOdvhbibgVh+Ag0NyKKXuAWYCVYDxQGagBBBj1zForXMkOp7swCnPsTg4ODg4\n", - "JMKZsx3udpxMtYM/8xSgtdbjtHBVa71Aa70jqTsrpdxKqSc8/8+qlOqqlDrsyZisUEpl8fztLU8m\n", - 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] - }, - { - "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", - "execution_count": 99, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Calculate the data\n", - "rx_x, rx_y = np.meshgrid(np.arange(-3000,3001,500),np.arange(-1000,1001,500))\n", - "rx_loc = np.hstack((simpeg.Utils.mkvc(rx_x,2),simpeg.Utils.mkvc(rx_y,2),elev+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')" - ] - }, - { - "cell_type": "code", - "execution_count": 100, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "e_x_loc = np.hstack([simpeg.Utils.mkvc(Qex*e_x,2),simpeg.Utils.mkvc(Qey*e_x,2),simpeg.Utils.mkvc(Qez*e_x,2)])\n", - "e_y_loc = np.hstack([simpeg.Utils.mkvc(Qex*e_y,2),simpeg.Utils.mkvc(Qey*e_y,2),simpeg.Utils.mkvc(Qez*e_y,2)])\n", - "Ciw = -C/(1j*omega(freq)*mu_0)\n", - "h_x_loc = np.hstack([simpeg.Utils.mkvc(Qfx*Ciw*e_x,2),simpeg.Utils.mkvc(Qfy*Ciw*e_x,2),simpeg.Utils.mkvc(Qfz*Ciw*e_x,2)])\n", - "h_y_loc = np.hstack([simpeg.Utils.mkvc(Qfx*Ciw*e_y,2),simpeg.Utils.mkvc(Qfy*Ciw*e_y,2),simpeg.Utils.mkvc(Qfz*Ciw*e_y,2)])" - ] - }, - { - "cell_type": "code", - "execution_count": 101, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "# Make a combined matrix\n", - "dt = np.dtype([('ex1',complex),('ey1',complex),('ez1',complex),('hx1',complex),('hy1',complex),('hz1',complex),('ex2',complex),('ey2',complex),('ez2',complex),('hx2',complex),('hy2',complex),('hz2',complex)])\n", - "combMat = np.empty((len(e_x_loc)),dtype=dt)\n", - "combMat['ex1'] = e_x_loc[:,0]\n", - "combMat['ey1'] = e_x_loc[:,1]\n", - "combMat['ez1'] = e_x_loc[:,2]\n", - "combMat['ex2'] = e_y_loc[:,0]\n", - "combMat['ey2'] = e_y_loc[:,1]\n", - "combMat['ez2'] = e_y_loc[:,2]\n", - "combMat['hx1'] = h_x_loc[:,0]\n", - "combMat['hy1'] = h_x_loc[:,1]\n", - "combMat['hz1'] = h_x_loc[:,2]\n", - "combMat['hx2'] = h_y_loc[:,0]\n", - "combMat['hy2'] = h_y_loc[:,1]\n", - "combMat['hz2'] = h_y_loc[:,2]\n" - ] - }, - { - "cell_type": "code", - "execution_count": 102, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "def calculateImpedance(fieldsData):\n", - " ''' \n", - " Function that calculates MT impedance data from a rec array with E and H field data from both polarizations\n", - " '''\n", - " zxx = (fieldsData['ex1']*fieldsData['hy2'] - fieldsData['ex2']*fieldsData['hy1'])/(fieldsData['hx1']*fieldsData['hy2'] - fieldsData['hx2']*fieldsData['hy1'])\n", - " zxy = (-fieldsData['ex1']*fieldsData['hx2'] + fieldsData['ex2']*fieldsData['hx1'])/(fieldsData['hx1']*fieldsData['hy2'] - fieldsData['hx2']*fieldsData['hy1'])\n", - " zyx = (fieldsData['ey1']*fieldsData['hy2'] - fieldsData['ey2']*fieldsData['hy1'])/(fieldsData['hx1']*fieldsData['hy2'] - fieldsData['hx2']*fieldsData['hy1'])\n", - " zyy = (-fieldsData['ey1']*fieldsData['hx2'] + fieldsData['ey2']*fieldsData['hx1'])/(fieldsData['hx1']*fieldsData['hy2'] - fieldsData['hx2']*fieldsData['hy1'])\n", - " return zxx, zxy, zyx, zyy\n", - "\n", - "zxx, zxy, zyx, zyy = calculateImpedance(combMat)" - ] - }, - { - "cell_type": "code", - "execution_count": 103, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "array([[-3000., -1000., 0.],\n", - " [-3000., -500., 0.],\n", - " [-3000., 0., 0.],\n", - " [-3000., 500., 0.],\n", - " [-3000., 1000., 0.],\n", - " [-2500., -1000., 0.],\n", - " [-2500., -500., 0.],\n", - " [-2500., 0., 0.],\n", - " [-2500., 500., 0.],\n", - " [-2500., 1000., 0.],\n", - " [-2000., -1000., 0.],\n", - " [-2000., -500., 0.],\n", - " [-2000., 0., 0.],\n", - " [-2000., 500., 0.],\n", - " [-2000., 1000., 0.],\n", - " [-1500., -1000., 0.],\n", - " [-1500., -500., 0.],\n", - " [-1500., 0., 0.],\n", - " [-1500., 500., 0.],\n", - " [-1500., 1000., 0.],\n", - " [-1000., -1000., 0.],\n", - " [-1000., -500., 0.],\n", - " [-1000., 0., 0.],\n", - " [-1000., 500., 0.],\n", - " [-1000., 1000., 0.],\n", - " [ -500., -1000., 0.],\n", - " [ -500., -500., 0.],\n", - " [ -500., 0., 0.],\n", - " [ -500., 500., 0.],\n", - " [ -500., 1000., 0.],\n", - " [ 0., -1000., 0.],\n", - " [ 0., -500., 0.],\n", - " [ 0., 0., 0.],\n", - " [ 0., 500., 0.],\n", - " [ 0., 1000., 0.],\n", - " [ 500., -1000., 0.],\n", - " [ 500., -500., 0.],\n", - " [ 500., 0., 0.],\n", - " [ 500., 500., 0.],\n", - " [ 500., 1000., 0.],\n", - " [ 1000., -1000., 0.],\n", - " [ 1000., -500., 0.],\n", - " [ 1000., 0., 0.],\n", - " [ 1000., 500., 0.],\n", - " [ 1000., 1000., 0.],\n", - " [ 1500., -1000., 0.],\n", - " [ 1500., -500., 0.],\n", - " [ 1500., 0., 0.],\n", - " [ 1500., 500., 0.],\n", - " [ 1500., 1000., 0.],\n", - " [ 2000., -1000., 0.],\n", - " [ 2000., -500., 0.],\n", - " [ 2000., 0., 0.],\n", - " [ 2000., 500., 0.],\n", - " [ 2000., 1000., 0.],\n", - " [ 2500., -1000., 0.],\n", - " [ 2500., -500., 0.],\n", - " [ 2500., 0., 0.],\n", - " [ 2500., 500., 0.],\n", - " [ 2500., 1000., 0.],\n", - " [ 3000., -1000., 0.],\n", - " [ 3000., -500., 0.],\n", - " [ 3000., 0., 0.],\n", - " [ 3000., 500., 0.],\n", - " [ 3000., 1000., 0.]])" - ] - }, - "execution_count": 103, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "rx_loc" - ] - }, - { - "cell_type": "code", - "execution_count": 104, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(array([ 6.56710354]), array([ 58.13551072]))\n", - "(array([ 1.37802989]), array([-155.52240108]))\n" - ] - } - ], - "source": [ - "ind = np.where(np.sum(np.power(rx_loc - np.array([-1000,0,elev]),2),axis=1)< 5)\n", - "def appResPhs(freq,z):\n", - " app_res = ((1./(8e-7*np.pi**2))/freq)*np.abs(z)**2\n", - " app_phs = np.arctan2(z.imag,z.real)*(180/np.pi)\n", - " return app_res, app_phs\n", - "print appResPhs(freq,zyx[ind])\n", - "print appResPhs(freq,zxy[ind])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[ 14405.34243898+71568.97959157j] [ -1.45986245e+08 +2.02536180e+08j]\n", - "(array([ 1.08290485]), array([-155.59666352]))\n" - ] - } - ], - "source": [ - "e0_1d = e0_1d.conj()\n", - "Qex = mesh1d.getInterpolationMat(np.array([elev]),'Ex')\n", - "Qfx = mesh1d.getInterpolationMat(np.array([elev]),'Fx')\n", - "h0_1dC = -(mesh1d.nodalGrad*e0_1d)/(1j*omega(freq)*mu_0)\n", - "h0_1d = mesh1d.getInterpolationMat(mesh1d.vectorNx,'Ex')*h0_1dC\n", - "indSur = np.where(mesh1d.vectorNx==elev)\n", - "\n", - "print (Qfx*e0_1d),(Qex*h0_1dC)#e0_1d, h0_1d\n", - "print appResPhs(freq,(Qfx*e0_1d)/(Qex*h0_1dC).conj())" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": { - "collapsed": false - }, - "outputs": [], - "source": [ - "import simpegMT as simpegmt\n", - "sig1D = M.r(sig,'CC','CC','M')[0,0,:]\n", - "anaEd, anaEu, anaHd, anaHu = simpegmt.Utils.MT1Danalytic.getEHfields(mesh1d,sig1D,freq,mesh1d.vectorNx)\n", - "anaEtemp = anaEd+anaEu\n", - "anaHtemp = anaHd+anaHu\n", - "# Scale the solution\n", - "anaE = (anaEtemp/anaEtemp[-1])#.conj()\n", - "anaH = (anaHtemp/anaEtemp[-1])#.conj()" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[ 0.00019869+0.00019869j 0.00019869+0.00019869j 0.00019869+0.00019869j\n", - " 0.00019869+0.00019869j 0.00019869+0.00019869j 0.00019869+0.00019869j\n", - " 0.00019869+0.00019869j 0.00019869+0.00019869j 0.00019869+0.00019869j\n", - " 0.00019869+0.00019869j 0.00019869+0.00019869j 0.00019869+0.00019869j\n", - " 0.00019869+0.00027765j 0.00019869+0.00038029j 0.00019869+0.00051373j\n", - " 0.00019869+0.0006872j 0.00019869+0.00091271j 0.00019869+0.00120587j\n", - " 0.00019869+0.00158698j 0.00019869+0.00208242j 0.00019869+0.00272649j\n", - " 0.00019869+0.00356379j 0.00019870+0.00465228j]\n", - "(array([], dtype=float64), array([], dtype=float64))\n", - "(array([], dtype=float64), array([], dtype=float64))\n" - ] - } - ], - "source": [ - "anaZ = anaE/anaH\n", - "indSur = np.where(mesh1d.vectorNx==elev)\n", - "print anaZ\n", - "print appResPhs(freq,anaZ[indSur])\n", - "print appResPhs(freq,-anaZ[indSur])" - ] - }, - { - "cell_type": "code", - "execution_count": 28, - "metadata": { - "collapsed": false - }, - "outputs": [ - { - "data": { - "text/plain": [ - "array([ -5.64053465e+04, -4.26194973e+04, -3.20149979e+04,\n", - " -2.38576907e+04, -1.75828390e+04, -1.27560300e+04,\n", - " -9.04310000e+03, -6.18700000e+03, -3.99000000e+03,\n", - " -2.30000000e+03, -1.00000000e+03, 7.27595761e-12,\n", - " 1.00000000e+03, 2.30000000e+03, 3.99000000e+03,\n", - " 6.18700000e+03, 9.04310000e+03, 1.27560300e+04,\n", - " 1.75828390e+04, 2.38576907e+04, 3.20149979e+04,\n", - " 4.26194973e+04, 5.64053465e+04])" - ] - }, - "execution_count": 28, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "mesh1d.vectorNx" - ] - }, - { - "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" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 2 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython2", - "version": "2.7.9" - } - }, - "nbformat": 4, - "nbformat_minor": 0 -} diff --git a/3D theroy overview-Copy0.ipynb b/notebooks/3D theroy overview-Copy0.ipynb similarity index 100% rename from 3D theroy overview-Copy0.ipynb rename to notebooks/3D theroy overview-Copy0.ipynb diff --git a/3D theroy overview.ipynb b/notebooks/3D theroy overview.ipynb similarity index 100% rename from 3D theroy overview.ipynb rename to notebooks/3D theroy overview.ipynb diff --git a/MT 1D code test.ipynb b/notebooks/MT 1D code test.ipynb similarity index 100% rename from MT 1D code test.ipynb rename to notebooks/MT 1D code test.ipynb diff --git a/MT 1D code_testLayered.ipynb b/notebooks/MT 1D code_testLayered.ipynb similarity index 100% rename from MT 1D code_testLayered.ipynb rename to notebooks/MT 1D code_testLayered.ipynb diff --git a/MT Script - 3D.ipynb b/notebooks/MT Script - 3D.ipynb similarity index 100% rename from MT Script - 3D.ipynb rename to notebooks/MT Script - 3D.ipynb diff --git a/MT Script - 3D_seogi.ipynb b/notebooks/MT Script - 3D_seogi.ipynb similarity index 100% rename from MT Script - 3D_seogi.ipynb rename to notebooks/MT Script - 3D_seogi.ipynb diff --git a/MT Script-3D_halfspace.ipynb b/notebooks/MT Script-3D_halfspace.ipynb similarity index 100% rename from MT Script-3D_halfspace.ipynb rename to notebooks/MT Script-3D_halfspace.ipynb diff --git a/MT Script-3D_layerTest-working.ipynb b/notebooks/MT Script-3D_layerTest-working.ipynb similarity index 100% rename from MT Script-3D_layerTest-working.ipynb rename to notebooks/MT Script-3D_layerTest-working.ipynb diff --git a/MT Script-3D_layerTest.ipynb b/notebooks/MT Script-3D_layerTest.ipynb similarity index 100% rename from MT Script-3D_layerTest.ipynb rename to notebooks/MT Script-3D_layerTest.ipynb diff --git a/notebooks/MT Script-3D_twoHalfspace-simpegMT.ipynb b/notebooks/MT Script-3D_twoHalfspace-simpegMT.ipynb new file mode 100644 index 00000000..4230295b --- /dev/null +++ b/notebooks/MT Script-3D_twoHalfspace-simpegMT.ipynb @@ -0,0 +1,2980 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "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" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Populating the interactive namespace from numpy and matplotlib\n" + ] + } + ], + "source": [ + "%pylab inline" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "2529.536000000001" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.sum(100*np.cumprod(np.ones(5)*1.6))\n", + "\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# M = Mesh.TensorMesh([[(100.,32)],[(100.,34)],[(100.,18)]], x0='CCC')\n", + "# M = simpeg.Mesh.TensorMesh([[(100,5,-1.5),(100.,5),(100,5,1.5)],[(100,5,-1.5),(100.,5),(100,5,1.5)],[(100,5,-1.5),(100.,10),(100,5,1.5)]], x0=['C','C','C'])\n", + "M = simpeg.Mesh.TensorMesh([[(1000,6,-1.5),(1000.,6),(1000,6,1.5)],[(1000,6,-1.5),(1000.,2),(1000,6,1.5)],[(1000,10,-1.3),(1000.,2),(1000,10,1.3)]], x0=['C','C','C'])# Setup the model\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ -5.64053465e+04 -4.26194973e+04 -3.20149979e+04 -2.38576907e+04\n", + " -1.75828390e+04 -1.27560300e+04 -9.04310000e+03 -6.18700000e+03\n", + " -3.99000000e+03 -2.30000000e+03 -1.00000000e+03 7.27595761e-12\n", + " 1.00000000e+03 2.30000000e+03 3.99000000e+03 6.18700000e+03\n", + " 9.04310000e+03 1.27560300e+04 1.75828390e+04 2.38576907e+04\n", + " 3.20149979e+04 4.26194973e+04 5.64053465e+04]\n" + ] + } + ], + "source": [ + "print M.vectorNz" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": [ + "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEKCAYAAAD3tSVSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", + "AAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xl4FeX1wPHvySrIDhoWQZCiZd8EVGrBBUStKBUBrUAV\n", + "64KKVftT0VZCFxVbtVqXSivWBURcEBFRUAmKCigCgoCAEEhCghDWiCwJ5/fHTOAm3DW5u+fzPPdh\n", + "7sw7c8+5N5w79513ZkRVMcYYk5xSYh2AMcaYyLEib4wxScyKvDHGJDEr8sYYk8SsyBtjTBKzIm+M\n", + "MUnMirwxxiQxK/ImoYnIVSLypYjsFZEtIvKuiPR2l50qIq+JyDYR2SUiy0XkdhGxv3vzk2F/7CZh\n", + 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simpeg.Utils.ModelBuilder.defineBlock(M.gridCC,[-100000,-100000,-200],[100000,100000,0],conds)\n", + "# sig[M.gridCC[:,2]>elev] = 1e-8\n", + "# sig[M.gridCC[:,2]<-500] = 1e-1\n", + "# sig[M.gridCC[:,2]<-900] = 1e-2\n", + "elev=0\n", + "conds = [1,1e-2]\n", + "sig = np.ones(M.nC)*conds[0]\n", + "sig[M.gridCC[:,0]>0] = conds[1]\n", + "sig[M.gridCC[:,2]>elev] = 1e-8\n", + "# sigBG = np.zeros(M.nC) + conds[0]\n", + "# sigBG[M.gridCC[:,2]>0] = 1e-8\n", + "sigBG = np.ones(M.nC)*conds[0]\n", + "sigBG[M.gridCC[:,2]>elev] = 1e-8\n", + "colorbar(M.plotImage(log10(sig)))\n", + "colorbar(M.plotImage(log10(sigBG)))\n" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# 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)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "freq = 1.0\n", + "C = M.edgeCurl\n", + "A = C.T*Mmu*C - 1j*omega(freq)*Msig\n", + "ARH = -(C.T*Mmu*C - 1j*omega(freq)*MsigBG)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 2.46 s, sys: 24 ms, total: 2.49 s\n", + "Wall time: 2.48 s\n" + ] + } + ], + "source": [ + "%%time\n", + "# Solve the systems for each polarization\n", + "sys.path.append('/media/gudni/ExtraDrive1/Codes/python/pymatsolver/')\n", + "from pymatsolver import MumpsSolver\n", + "Ainv = MumpsSolver(A)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# 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,sourceAmp=None).conj()\n", + "# Setup the primary field (p) for the x (east) polarization (_px)\n", + "ex_px = np.zeros((M.vnEx),dtype=complex)\n", + "ey_px = np.zeros(M.nEy,dtype=complex)\n", + "ez_px = np.zeros(M.nEz,dtype=complex)\n", + "# Assign the source to ex_x\n", + "for i in arange(M.vnEx[0]):\n", + " for j in arange(M.vnEx[1]):\n", + " ex_px[i,j,:] = -e0_1d\n", + "ep_px = np.r_[simpeg.Utils.mkvc(ex_px),ey_px,ez_px]\n", + "rhs_px = ARH.dot(ep_px)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# Setup y (north) polarization (_y)\n", + "ex_py = np.zeros(M.nEx, dtype='complex128')\n", + "ey_py = np.zeros((M.vnEy), dtype='complex128')\n", + "ez_py = np.zeros(M.nEz, dtype='complex128')\n", + "# Assign the source to ey_y\n", + "for i in arange(M.vnEy[0]):\n", + " for j in arange(M.vnEy[1]):\n", + " ey_py[i,j,:] = e0_1d \n", + " \n", + "ep_py = np.r_[ex_py,simpeg.Utils.mkvc(ey_py),ez_py]\n", + "rhs_py = ARH.dot(ep_py)" + ] + }, + { + "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", + "execution_count": 13, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "CPU times: user 42.8 ms, sys: 0 ns, total: 42.8 ms\n", + "Wall time: 43.6 ms\n" + ] + } + ], + "source": [ + "%%time\n", + "es_px = Ainv*rhs_px\n", + "es_py = Ainv*rhs_py" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Need to sum the ep and es to get the total field.\n", + "e_x = es_px #+ ep_px\n", + "e_y = es_py #+ ep_py" + ] + }, + { + "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", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "Meinv = M.getEdgeInnerProduct(np.ones_like(sig), invMat=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "j_x = Meinv*Msig*e_x\n", + "j_y = Meinv*Msig*e_x" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "(18598,)" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "e_x.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "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" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Then use \"plotSlice\" function, to visualize 2D sections" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": false, + "scrolled": false + }, + "outputs": [ + { + "data": { + "image/png": [ + "iVBORw0KGgoAAAANSUhEUgAAAtUAAAFRCAYAAAC7elE4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", + "AAALEgAACxIB0t1+/AAAIABJREFUeJzsvXe4JWWV7/8pmiwgOYMNgmQkJ0FAkCDBRDCgGO44V8c4\n", + "6qijdxznN3NHvY5XnXEcZ8xxDIikJufc0EB3Q3fTTeecc/fJ9fvjU3XP7sPeZ9euXW+d3U19n6cf\n", + "OOfsvd+q2lXrXeu7vmutKI5jKlSoUKFChQoVKlSokB9bjfQBVKhQoUKFChUqVKiwuaNyqitUqFCh\n", + "QoUKFSpUaBOVU12hQoUKFSpUqFChQpuonOoKFSpUqFChQoUKFdpE5VRXqFChQoUKFSpUqNAmKqe6\n", + "QoUKFSpUqFChQoU2UTnVFTZbRFH0gSiKHq75eW0URaNH7ogqVKhQoUIjVDa7wpaOyqmu0NGIoujs\n", + "KIoei6JoVRRFy6MoeiSKolPqvTaO453jOJ5V8PrrEsOf/uuLouh7Ra5RoUKFClsKKptd4ZWMrUf6\n", + 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plt.colorbar(dat0[0], ax = ax[0])\n", + "dat1 = M.plotSlice(np.log10(np.abs(e_y_CC)), vType='CCv', view='vec', streamOpts={'color': 'k'}, normal='Y', ax = ax[1])\n", + "cb1 = plt.colorbar(dat1[0], ax = ax[1])" + ] + }, + { + "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", + "execution_count": 20, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# Calculate the data\n", + "rx_x, rx_y = np.meshgrid(np.arange(-3000,3001,500),np.arange(-1000,1001,500))\n", + "rx_loc = np.hstack((simpeg.Utils.mkvc(rx_x,2),simpeg.Utils.mkvc(rx_y,2),elev+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')" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "e_x_loc = np.hstack([simpeg.Utils.mkvc(Qex*e_x,2),simpeg.Utils.mkvc(Qey*e_x,2),simpeg.Utils.mkvc(Qez*e_x,2)])\n", + "e_y_loc = np.hstack([simpeg.Utils.mkvc(Qex*e_y,2),simpeg.Utils.mkvc(Qey*e_y,2),simpeg.Utils.mkvc(Qez*e_y,2)])\n", + "Ciw = -C/(1j*omega(freq)*mu_0)\n", + "h_x_loc = np.hstack([simpeg.Utils.mkvc(Qfx*Ciw*e_x,2),simpeg.Utils.mkvc(Qfy*Ciw*e_x,2),simpeg.Utils.mkvc(Qfz*Ciw*e_x,2)])\n", + "h_y_loc = np.hstack([simpeg.Utils.mkvc(Qfx*Ciw*e_y,2),simpeg.Utils.mkvc(Qfy*Ciw*e_y,2),simpeg.Utils.mkvc(Qfz*Ciw*e_y,2)])" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# Make a combined matrix\n", + "dt = np.dtype([('ex1',complex),('ey1',complex),('ez1',complex),('hx1',complex),('hy1',complex),('hz1',complex),('ex2',complex),('ey2',complex),('ez2',complex),('hx2',complex),('hy2',complex),('hz2',complex)])\n", + "combMat = np.empty((len(e_x_loc)),dtype=dt)\n", + "combMat['ex1'] = e_x_loc[:,0]\n", + "combMat['ey1'] = e_x_loc[:,1]\n", + "combMat['ez1'] = e_x_loc[:,2]\n", + "combMat['ex2'] = e_y_loc[:,0]\n", + "combMat['ey2'] = e_y_loc[:,1]\n", + "combMat['ez2'] = e_y_loc[:,2]\n", + "combMat['hx1'] = h_x_loc[:,0]\n", + "combMat['hy1'] = h_x_loc[:,1]\n", + "combMat['hz1'] = h_x_loc[:,2]\n", + "combMat['hx2'] = h_y_loc[:,0]\n", + "combMat['hy2'] = h_y_loc[:,1]\n", + "combMat['hz2'] = h_y_loc[:,2]\n" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def calculateImpedance(fieldsData):\n", + " ''' \n", + " Function that calculates MT impedance data from a rec array with E and H field data from both polarizations\n", + " '''\n", + " zxx = (fieldsData['ex1']*fieldsData['hy2'] - fieldsData['ex2']*fieldsData['hy1'])/(fieldsData['hx1']*fieldsData['hy2'] - fieldsData['hx2']*fieldsData['hy1'])\n", + " zxy = (-fieldsData['ex1']*fieldsData['hx2'] + fieldsData['ex2']*fieldsData['hx1'])/(fieldsData['hx1']*fieldsData['hy2'] - fieldsData['hx2']*fieldsData['hy1'])\n", + " zyx = (fieldsData['ey1']*fieldsData['hy2'] - fieldsData['ey2']*fieldsData['hy1'])/(fieldsData['hx1']*fieldsData['hy2'] - fieldsData['hx2']*fieldsData['hy1'])\n", + " zyy = (-fieldsData['ey1']*fieldsData['hx2'] + fieldsData['ey2']*fieldsData['hx1'])/(fieldsData['hx1']*fieldsData['hy2'] - fieldsData['hx2']*fieldsData['hy1'])\n", + " return zxx, zxy, zyx, zyy\n", + "\n", + "zxx, zxy, zyx, zyy = calculateImpedance(combMat)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# rx_loc" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(array([ 2.58052711]), array([ 41.12190413]))\n", + "(array([ 1.49556255]), array([-154.79729349]))\n" + ] + } + ], + "source": [ + "ind = np.where(np.sum(np.power(rx_loc - np.array([-3000,0,elev]),2),axis=1)< 5)\n", + "def appResPhs(freq,z):\n", + " app_res = ((1./(8e-7*np.pi**2))/freq)*np.abs(z)**2\n", + " app_phs = np.arctan2(z.imag,z.real)*(180/np.pi)\n", + " return app_res, app_phs\n", + "print appResPhs(freq,zyx[ind])\n", + "print appResPhs(freq,zxy[ind])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 1.48260668e+48 +2.81495302e+48j] [ 4.12341913e+49 +9.25329081e+50j]\n", + "(array([ 1.49426011]), array([ 149.6731804]))\n" + ] + } + ], + "source": [ + "e0_1d = e0_1d.conj()\n", + "Qex = mesh1d.getInterpolationMat(np.array([elev]),'Ex')\n", + "Qfx = mesh1d.getInterpolationMat(np.array([elev]),'Fx')\n", + "h0_1dC = -(mesh1d.nodalGrad*e0_1d)/(1j*omega(freq)*mu_0)\n", + "h0_1d = mesh1d.getInterpolationMat(mesh1d.vectorNx,'Ex')*h0_1dC\n", + "indSur = np.where(mesh1d.vectorNx==elev)\n", + "\n", + "print (Qfx*e0_1d),(Qex*h0_1dC)#e0_1d, h0_1d\n", + "print appResPhs(freq,(Qfx*e0_1d)/(Qex*h0_1dC).conj())" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "import simpegMT as simpegmt\n", + "sig1D = M.r(sig,'CC','CC','M')[0,0,:]\n", + "anaEd, anaEu, anaHd, anaHu = simpegmt.Utils.MT1Danalytic.getEHfields(mesh1d,sig1D,freq,mesh1d.vectorNx)\n", + "anaEtemp = anaEd+anaEu\n", + "anaHtemp = anaHd+anaHu\n", + "# Scale the solution\n", + "anaE = (anaEtemp/anaEtemp[-1])#.conj()\n", + "anaH = (anaHtemp/anaEtemp[-1])#.conj()" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 0.00198692+0.00198692j 0.00198692+0.00198692j 0.00198692+0.00198692j\n", + " 0.00198692+0.00198692j 0.00198692+0.00198692j 0.00198692+0.00198692j\n", + " 0.00198692+0.00198692j 0.00198692+0.00198692j 0.00198692+0.00198692j\n", + " 0.00198692+0.00198692j 0.00198692+0.00198692j 0.00198692+0.00198692j\n", + " 0.00198692+0.0098826j 0.00198692+0.02014699j 0.00198693+0.03349069j\n", + " 0.00198697+0.05083751j 0.00198708+0.07338836j 0.00198737+0.10270447j\n", + " 0.00198810+0.14081541j 0.00198983+0.19035962j 0.00199390+0.25476708j\n", + " 0.00200329+0.33849678j 0.00202471+0.44734538j]\n", + "(array([], dtype=float64), array([], dtype=float64))\n", + "(array([], dtype=float64), array([], dtype=float64))\n" + ] + } + ], + "source": [ + "anaZ = anaE/anaH\n", + "indSur = np.where(mesh1d.vectorNx==elev)\n", + "print anaZ\n", + "print appResPhs(freq,anaZ[indSur])\n", + "print appResPhs(freq,-anaZ[indSur])" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ -5.64053465e+04, -4.26194973e+04, -3.20149979e+04,\n", + " -2.38576907e+04, -1.75828390e+04, -1.27560300e+04,\n", + " -9.04310000e+03, -6.18700000e+03, -3.99000000e+03,\n", + " -2.30000000e+03, -1.00000000e+03, 7.27595761e-12,\n", + " 1.00000000e+03, 2.30000000e+03, 3.99000000e+03,\n", + " 6.18700000e+03, 9.04310000e+03, 1.27560300e+04,\n", + " 1.75828390e+04, 2.38576907e+04, 3.20149979e+04,\n", + " 4.26194973e+04, 5.64053465e+04])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mesh1d.vectorNx" + ] + }, + { + "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" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 2 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython2", + "version": "2.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 0 +} diff --git a/MT1DfwdProblem.ipynb b/notebooks/MT1DfwdProblem.ipynb similarity index 100% rename from MT1DfwdProblem.ipynb rename to notebooks/MT1DfwdProblem.ipynb diff --git a/MTanalytic1D_layerIssue.ipynb b/notebooks/MTanalytic1D_layerIssue.ipynb similarity index 100% rename from MTanalytic1D_layerIssue.ipynb rename to notebooks/MTanalytic1D_layerIssue.ipynb diff --git a/MTanayltic1Dtest-Copy1.ipynb b/notebooks/MTanayltic1Dtest-Copy1.ipynb similarity index 100% rename from MTanayltic1Dtest-Copy1.ipynb rename to notebooks/MTanayltic1Dtest-Copy1.ipynb diff --git a/MTanayltic1Dtest.ipynb b/notebooks/MTanayltic1Dtest.ipynb similarity index 100% rename from MTanayltic1Dtest.ipynb rename to notebooks/MTanayltic1Dtest.ipynb diff --git a/simpegMT/ProblemMT.py b/simpegMT/ProblemMT.py index 92f1791f..34ed5fc9 100644 --- a/simpegMT/ProblemMT.py +++ b/simpegMT/ProblemMT.py @@ -1,8 +1,8 @@ from SimPEG import Survey, Problem, Utils, Models, np, sp, SolverLU as SimpegSolver from simpegEM.FDEM import BaseFDEMProblem -from simpegEM.Utils import omega +from simpegEM.Utils.EMUtils import omega from scipy.constants import mu_0 -from SurveyMT import SurveyMT, FieldsMT +from SurveyMT import SurveyMT, FieldsMT, DataMT import multiprocessing, sys, time @@ -14,7 +14,7 @@ class BaseMTProblem(BaseFDEMProblem): surveyPair = SurveyMT - dataPair = Survey.Data + dataPair = DataMT Solver = SimpegSolver solverOpts = {} @@ -25,14 +25,6 @@ class BaseMTProblem(BaseFDEMProblem): # Might need to add more stuff here. - @property - def MeSigmaBG(self): - #TODO: hardcoded to sigma as the model - if getattr(self, '_MeSigmaBG', None) is None: - sigmaBG = self.backModel - self._MeSigmaBG = self.mesh.getEdgeInnerProduct(sigmaBG) - return self._MeSigmaBG - class ProblemMT_eForm_ps(BaseMTProblem): """ @@ -44,6 +36,7 @@ class ProblemMT_eForm_ps(BaseMTProblem): _fieldType = 'e' _eqLocs = 'FE' fieldsPair = FieldsMT + # Set new properties # Background model @property @@ -62,6 +55,15 @@ class ProblemMT_eForm_ps(BaseMTProblem): if hasattr(self, prop): delattr(self, prop) + @property + def MeDeltaSigma(self): + #TODO: hardcoded to sigma as the model + if getattr(self, '_MeDeltaSigma', None) is None: + sigma = self.curModel + sigmaBG = self.backModel + self._MeDeltaSigma = self.mesh.getEdgeInnerProduct(sigma - sigmaBG) + return self._MeDeltaSigma + def __init__(self, mesh, **kwargs): BaseMTProblem.__init__(self, mesh, **kwargs) @@ -104,8 +106,136 @@ class ProblemMT_eForm_ps(BaseMTProblem): # Get the background electric fields from simpegMT.Sources import homo1DModelSource eBG_bp = homo1DModelSource(self.mesh,freq,backSigma) - deltM = self.curModel - self.backModel - Abg = -1j*omega(freq)*deltM*eBG_bp + deltM = self.MeDeltaSigma + Abg = -1j*omega(freq)*deltM + + return Abg*eBG_bp, eBG_bp + + def getRHSderiv(self, freq, backSigma, u, v, adjoint=False): + raise NotImplementedError('getRHSDeriv not implemented yet') + return None + + def fields(self, m, m_back): + ''' + Function to calculate all the fields for the model m. + + :param np.ndarray (nC,) m: Conductivity model + :param np.ndarray (nC,) m_back: Background conductivity model + ''' + self.curModel = m + self.backModel = m_back + # RHS, CalcFields = self.getRHS(freq,m_back), self.calcFields + + F = FieldsMT(self.mesh, self.survey) + for freq in self.survey.freqs: + if self.verbose: + startTime = time.time() + print 'Starting work for {:.3e}'.format(freq) + sys.stdout.flush() + A = self.getA(freq) + rhs, e_p = self.getRHS(freq,m_back) + Ainv = self.Solver(A, **self.solverOpts) + e_s = Ainv * rhs + e = e_p + e_s + # Store the fields + Src = self.survey.getSources(freq) + # Store the fieldss + F[Src, 'e_px'] = e[:,0] + F[Src, 'e_py'] = e[:,1] + # Note curl e = -iwb so b = -curl/iw + b = -( self.mesh.edgeCurl * e )/( 1j*omega(freq) ) + F[Src, 'b_px'] = b[:,0] + F[Src, 'b_py'] = b[:,1] + if self.verbose: + print 'Ran for {:f} seconds'.format(time.time()-startTime) + sys.stdout.flush() + return F + +class ProblemMT_eForm_Tp(BaseMTProblem): + """ + A MT problem solving a e formulation and a primary/secondary fields decompostion. + + Solves the equation + """ + + _fieldType = 'e' + _eqLocs = 'FE' + fieldsPair = FieldsMT + + # Set new properties + # Background model + @property + def backModel(self): + """ + Sets the model, and removes dependent mass matrices. + """ + return getattr(self, '_backModel', None) + + @backModel.setter + def backModel(self, value): + if value is self.backModel: + return # it is the same! + self._backModel = Models.Model(value, self.mapping) + for prop in self.deleteTheseOnModelUpdate: + if hasattr(self, prop): + delattr(self, prop) + + @property + def MeSigmaBack(self): + #TODO: hardcoded to sigma as the model + if getattr(self, '_MeSigmaBack', None) is None: + sigma = self.curModel + sigmaBG = self.backModel + self._MeSigmaBack = self.mesh.getEdgeInnerProduct(sigmaBG) + return self._MeSigmaBack + + def __init__(self, mesh, **kwargs): + BaseMTProblem.__init__(self, mesh, **kwargs) + + def getA(self, freq): + """ + Function to get the A matrix. + + :param float freq: Frequency + :rtype: scipy.sparse.csr_matrix + :return: A + """ + mui = self.MfMui + sig = self.MeSigma + C = self.mesh.edgeCurl + + return C.T*mui*C + 1j*omega(freq)*sig + + def getADeriv(self, freq, u, v, adjoint=False): + sig = self.curTModel + dsig_dm = self.curTModelDeriv + dMe_dsig = self.mesh.getEdgeInnerProductDeriv(sig, v=u) + + if adjoint: + return 1j * omega(freq) * ( dsig_dm.T * ( dMe_dsig.T * v ) ) + + return 1j * omega(freq) * ( dMe_dsig * ( dsig_dm * v ) ) + + def getRHS(self, freq, backSigma): + """ + Function to return the right hand side for the system. + :param float freq: Frequency + :param numpy.ndarray (nC,) backSigma: Background conductivity model + :rtype: numpy.ndarray (nE, 2) + :return: one RHS for both polarizations + """ + # Get sources for the frequency + src = self.survey.getSources(freq) + # Make sure that there is 2 polarizations. + # assert len() + # Get the background electric fields + from simpegMT.Sources import homo1DModelSource + eBG_bp = homo1DModelSource(self.mesh,freq,backSigma) + MeBack = self.MeSigmaBack + # Set up the A system + mui = self.MfMui + C = self.mesh.edgeCurl + Abg = C.T*mui*C + 1j*omega(freq)*MeBack return Abg*eBG_bp, eBG_bp def getRHSderiv(self, freq, backSigma, u, v, adjoint=False): @@ -124,28 +254,27 @@ class ProblemMT_eForm_ps(BaseMTProblem): # RHS, CalcFields = self.getRHS(freq,m_back), self.calcFields F = FieldsMT(self.mesh, self.survey) - - if verbose: - startTime = time.time() - print 'Starting work for {:.3e}'.format(freq) - sys.stdout.flush() - A = self.getA(freq) - rhs, e_p = self.getRHS(freq,m_back) - Ainv = self.Solver(A, **self.solverOpts) - e_s = Ainv * rhs - e = e_p + e_s - # Store the fields - Src = self.survey.getSources(freq) - # Store the fieldss - F[Src, 'e_px'] = e[:,0] - F[Src, 'e_py'] = e[:,1] - # Note curl e = -iwb so b = -curl/iw - b = -( self.mesh.edgeCurl * e )/( 1j*omega(freq) ) - F[Src, 'b_px'] = b[:,0] - F[Src, 'b_py'] = b[:,1] - if verbose: - print 'Ran for {:f} seconds'.format(time.time()-startTime) - sys.stdout.flush() + for freq in self.survey.freqs: + if self.verbose: + startTime = time.time() + print 'Starting work for {:.3e}'.format(freq) + sys.stdout.flush() + A = self.getA(freq) + rhs, e_p = self.getRHS(freq,m_back) + Ainv = self.Solver(A, **self.solverOpts) + e_s = Ainv * rhs + e = e_p + e_s + # Store the fields + Src = self.survey.getSources(freq) + # Store the fieldss + F[Src, 'e_px'] = e[:,0] + F[Src, 'e_py'] = e[:,1] + # Note curl e = -iwb so b = -curl/iw + b = -( self.mesh.edgeCurl * e )/( 1j*omega(freq) ) + F[Src, 'b_px'] = b[:,0] + F[Src, 'b_py'] = b[:,1] + if self.verbose: + print 'Ran for {:f} seconds'.format(time.time()-startTime) + sys.stdout.flush() return F - diff --git a/simpegMT/SurveyMT.py b/simpegMT/SurveyMT.py index b2797c62..47d6103c 100644 --- a/simpegMT/SurveyMT.py +++ b/simpegMT/SurveyMT.py @@ -244,10 +244,10 @@ class DataMT(Survey.Data): tArrRec = np.concatenate((src.freq*np.ones((locs.shape[0],1)),locs,np.nan*np.ones((locs.shape[0],8))),axis=1).view(dtRI) # np.array([(src.freq,rx.locs[0,0],rx.locs[0,1],rx.locs[0,2],np.nan ,np.nan ,np.nan ,np.nan ,np.nan ,np.nan ,np.nan ,np.nan ) for rx in src.rxList],dtype=dtRI) # Get the type and the value for the DataMT object as a list - typeList = [[rx.rxType,self[src,rx][0]] for rx in src.rxList] + typeList = [[rx.rxType,self[src,rx]] for rx in src.rxList] # Insert the values to the temp array for nr,(key,val) in enumerate(typeList): - tArrRec[key] = val + tArrRec[key] = mkvc(val,2) # Masked array mArrRec = np.ma.MaskedArray(rec2ndarr(tArrRec),mask=np.isnan(rec2ndarr(tArrRec))).view(dtype=tArrRec.dtype) # Unique freq and loc of the masked array