mirror of
https://github.com/wassname/simpeg.git
synced 2026-07-09 15:53:53 +08:00
GudniRos
264 lines
28 KiB
Plaintext
264 lines
28 KiB
Plaintext
{
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"metadata": {
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"name": "",
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"signature": "sha256:5ff50687aa6b5eff8d9f077fee29dfb14e6eaa12563cbe8511b1dddc2ba76e23"
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},
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"nbformat": 3,
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"nbformat_minor": 0,
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"worksheets": [
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{
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"cells": [
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"from SimPEG import *\n",
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"from scipy.constants import mu_0\n",
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"\n",
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"\n",
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"def omega(freq):\n",
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" \"\"\"Change frequency to angular frequency, omega\"\"\"\n",
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" return 2.*np.pi*freq"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 1
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"M = Mesh.TensorMesh([[(100.,32)],[(100.,34)],[(100.,18)]], x0='CCC')"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 2
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"print M"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"output_type": "stream",
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"stream": "stdout",
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"text": [
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" ---- 3-D TensorMesh ---- \n",
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" x0: -1600.00\n",
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" y0: -1700.00\n",
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" z0: -900.00\n",
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" nCx: 32\n",
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" nCy: 34\n",
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" nCz: 18\n",
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" hx: 32*100.00\n",
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" hy: 34*100.00\n",
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" hz: 18*100.00\n"
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]
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}
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],
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"prompt_number": 3
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"# Setup the model\n",
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"conds = [1e-2,1]\n",
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"sig = Utils.ModelBuilder.defineBlock(M.gridCC,[0,0,-300],[500,500,-100],conds)\n",
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"sig[M.gridCC[:,2]>0] = 1e-8\n",
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"sigBG = np.zeros(M.nC) + conds[0]\n",
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"sigBG[M.gridCC[:,2]>0] = 1e-8\n",
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"colorbar(M.plotImage(log10(sig)))"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"metadata": {},
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"output_type": "pyout",
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"prompt_number": 4,
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"text": [
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"<matplotlib.colorbar.Colorbar instance at 0x7f55faf27290>"
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]
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},
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{
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"metadata": {},
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"output_type": "display_data",
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"png": 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|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x7f55de17de90>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 4
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"# Get the mass matrix \n",
|
|
"# The model\n",
|
|
"Msig = M.getEdgeInnerProduct(sig)\n",
|
|
"MsigBG = M.getEdgeInnerProduct(sigBG)\n",
|
|
"\n",
|
|
"Mmu = M.getFaceInnerProduct(mu_0, invProp=True)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 5
|
|
},
|
|
{
|
|
"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": 6
|
|
},
|
|
{
|
|
"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": 50
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"# Setup y (north) polarization (_y)\n",
|
|
"ex_y = np.zeros((M.vnEx,1))\n",
|
|
"ey_y = np.zeros(M.vnEy)\n",
|
|
"ez_y = np.zeros((M.vnEz,1))\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,simpeg.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": 12
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"# Solve the systems for each polarization\n",
|
|
"Ainv = simpeg.SolverCG(A)\n",
|
|
"e_x = Ainv*rhs_x\n",
|
|
"\n",
|
|
"e_y = Ainv*rhs_x"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": []
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 28
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"\n"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"ename": "NameError",
|
|
"evalue": "name 'e0_1d' is not defined",
|
|
"output_type": "pyerr",
|
|
"traceback": [
|
|
"\u001b[1;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[1;31mNameError\u001b[0m Traceback (most recent call last)",
|
|
"\u001b[1;32m<ipython-input-36-4c5017fec386>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m()\u001b[0m\n\u001b[0;32m 5\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mi\u001b[0m \u001b[1;32min\u001b[0m \u001b[0marange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mM\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mvnEx\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m0\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m 6\u001b[0m \u001b[1;32mfor\u001b[0m \u001b[0mj\u001b[0m \u001b[1;32min\u001b[0m \u001b[0marange\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mM\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mvnEx\u001b[0m\u001b[1;33m[\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m]\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 7\u001b[1;33m \u001b[0mex_x\u001b[0m\u001b[1;33m[\u001b[0m\u001b[0mi\u001b[0m\u001b[1;33m,\u001b[0m\u001b[0mj\u001b[0m\u001b[1;33m,\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m]\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0me0_1d\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
|
|
"\u001b[1;31mNameError\u001b[0m: name 'e0_1d' is not defined"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 36
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"# Get a 1d solution for a halfspace background\n",
|
|
"mesh1d = simpeg.Mesh.TensorMesh(M.hz,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)\n",
|
|
"ey_x = np.zeros(M.vnEy)\n",
|
|
"ez_x = np.zeros(M.vnEz)\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(M.r(ex_x,'Ex','Ex','V'),M.r(ex_y)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"ename": "SyntaxError",
|
|
"evalue": "invalid syntax (<ipython-input-34-f14ef29654fd>, line 12)",
|
|
"output_type": "pyerr",
|
|
"traceback": [
|
|
"\u001b[1;36m File \u001b[1;32m\"<ipython-input-34-f14ef29654fd>\"\u001b[1;36m, line \u001b[1;32m12\u001b[0m\n\u001b[1;33m eBG_x = np.vstack(M.r(ex_x,'Ex','Ex','V'),M.r(ex_y)\u001b[0m\n\u001b[1;37m ^\u001b[0m\n\u001b[1;31mSyntaxError\u001b[0m\u001b[1;31m:\u001b[0m invalid syntax\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 34
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": []
|
|
}
|
|
],
|
|
"metadata": {}
|
|
}
|
|
]
|
|
} |