Files
simpeg/simpegEM/FDEM/3DFDEM.ipynb
T
2014-02-06 12:04:20 -08:00

489 lines
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{
"metadata": {
"name": "3DFDEM"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"import numpy as np\n",
"from SimPEG import Solver, utils, TensorMesh\n",
"from getInterpmat import getInterpmat\n",
"from RHSem import path2edgeModel, MMRhalf"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"3D frequency domain EM code with wire source"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Step1: Generating mesh"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cs = 100\n",
"ncore = 6\n",
"pad = 5\n",
"padfactor = 1.5\n",
"cs = 100\n",
"xpad = cs*(np.ones(pad)*padfactor)**np.arange(pad)\n",
"ypad = cs*(np.ones(pad)*padfactor)**np.arange(pad)\n",
"zpad = cs*(np.ones(pad)*padfactor)**np.arange(pad)\n",
"\n",
"xcore = cs*np.ones(ncore)\n",
"ycore = cs*np.ones(ncore)\n",
"zcore = cs*np.ones(ncore)\n",
"\n",
"hx = np.r_[xpad[::-1],xcore, cs, xcore, xpad]\n",
"hy = np.r_[ypad[::-1],ycore, cs, ycore, ypad]\n",
"hz = np.r_[zpad[::-1],zcore,zcore, zpad]\n",
"\n",
"x0 = np.array([-sum(hx)/2, -sum(hy)/2, -sum(hz)/2])\n",
"mesh = TensorMesh([hx, hy, hz],x0)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mesh.plotGrid()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"C:\\Users\\SEOGI\\AppData\\Local\\Enthought\\Canopy\\App\\appdata\\canopy-1.0.1.1189.win-x86_64\\lib\\site-packages\\matplotlib\\lines.py:483: RuntimeWarning: invalid value encountered in greater_equal\n",
" return np.alltrue(x[1:]-x[0:-1]>=0)\n"
]
},
{
"output_type": "display_data",
"png": 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okCQF6ekazJ/PBrHsduafXbOG9YmMJMTFKbcmPEiIjDShZk0ZTz5ZFv/+twhBEHD2LIdj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LZtpXmmTq2Ey5dtsW+ftF6LFgb066ex2OeOHZKeiAk3btxAnz59YGNjg0OHDqFRo0aPdL4PQ8F7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\n",
"text": [
"<matplotlib.figure.Figure at 0x7d56f60>"
]
}
],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": []
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Step2: Generate conductivity model"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"sigma = 1e-8*np.ones(prod(mesh.nC))\n",
"Ind = mesh.gridCC[:,2]<0\n",
"sigma[Ind] = 1e-3\n",
"mesh.plotImage(sigma)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 4,
"text": [
"<matplotlib.collections.QuadMesh at 0x8276080>"
]
},
{
"output_type": "display_data",
"png": 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i4uIb3gncikajuWHZb20fHR1NKBAK9GzJYNuAOcXFOAcEAPBMUhL9xo0z3uf3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\nVEjKXwghVEjKXwghVEjKXwghVOj/AymVhlqOaVA4AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7dd8048>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Step3: Genereate the system matrix A\n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here we use the time dependency $e^{-\\imath\\omega t}$. Thus, our system for frequency domain EM problem can be written as \n",
"\\begin{eqnarray}\n",
"\t\\nabla \\times E -\\imath\\omega B = 0,\\\\\n",
"\t\\nabla \\times \\frac{1}{\\mu} B - \\sigma (\\omega)^* E = J^s, \\\\\n",
"\t\\tilde{n} \\times \\frac{1}{\\mu} B |_{\\partial \\Omega} = 0.\n",
"\\end{eqnarray}\n",
"By using weak formultion we have,\n",
"\\begin{eqnarray}\n",
"\t<\\nabla \\times E, \\mathbf{F}> - <\\imath\\omega B, \\mathbf{F}> = 0, \\\\\n",
"\t<\\nabla \\times \\frac{1}{\\mu}\\mathbf{B}, \\mathbf{W}>-<\\mathbf{\\sigma}(\\omega)^*\\mathbf{E}, \\mathbf{W}> = <\\mathbf{J}^s, \\mathbf{W}>.\n",
"\\end{eqnarray}\n",
"By using the same trick we used for MMR problem with boundary conditions, we have discretized system \n",
"\\begin{eqnarray}\n",
"\t\\mathbf{M}_f\\mathbf{Curl}\\mathbf{e} - \\imath\\omega\\mathbf{M}_f\\mathbf{b} = 0, \\\\\n",
"\t\\mathbf{Curl}^T\\mathbf{M}_{\\frac{1}{\\mu}}\\mathbf{b} - \\mathbf{M}_{\\sigma}^*\\mathbf{e} \n",
"\t=\\mathbf{M}_e\\mathbf{j}^s. \n",
"\\end{eqnarray}\n",
"Rearranging above equations in terms of $\\mathbf{e}$ gives\n",
"\\begin{eqnarray}\n",
"\t\\mathbf{Curl}^T\\mathbf{M}_{\\frac{1}{\\mu}}\\mathbf{Curl}\\mathbf{e} - \\imath\\omega\\mathbf{M}_{\\sigma}^*\\mathbf{e} \n",
"\t = \\imath\\omega\\mathbf{M}_e\\mathbf{j}^s.\n",
"\\end{eqnarray}\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"f = 1e-5\n",
"w = 2*np.pi*f\n",
"mu0 = 4*pi*1e-7\n",
"C = mesh.edgeCurl\n",
"Msig = mesh.getEdgeInnerProduct(sigma)\n",
"Mf = mesh.getFaceInnerProduct()\n",
"Me = mesh.getEdgeInnerProduct()\n",
"A = C.T*1/mu0*Mf*C-1j*w*Msig"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Step 4: Generate right hand side"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"pts = np.array([[550, 50, 0],\n",
" [550, 550, 0],\n",
" [-550, 550, 0],\n",
" [-550, 50, 0]\n",
" ])\n",
"Js = path2edgeModel(mesh, pts)\n",
"L = mesh.edge\n",
"rhs = 1j*w*L*Js"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plot(pts[:,0], pts[:,1])\n",
"ylim ([-600, 600])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 22,
"text": [
"(-600, 600)"
]
},
{
"output_type": "display_data",
"png": 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3tZO/QAYAEAMAADEAAIgYAABEDAAAIgYAABEDAICIAQBAxAAAIGIAABAxAACIGAAARAwA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\n",
"text": [
"<matplotlib.figure.Figure at 0xd85d518>"
]
}
],
"prompt_number": 22
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Step 5: Solve the linear system "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from time import time\n",
"tic = time()\n",
"f = Solver(A)\n",
"E = f.solve(rhs)\n",
"B = 1/(1j*w)*C*E\n",
"print time() - tic"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"86.271999836\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Step 6: Project to receiver points"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"E = np.conj(E)\n",
"B = -np.conj(B)\n",
"xr = np.linspace(-400, 400, 21)\n",
"yr = np.linspace(-400, 400, 21)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X, Y = np.meshgrid(xr, yr)\n",
"Z = np.zeros((size(xr), size(yr)))"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"rxLoc = np.c_[utils.mkvc(X), utils.mkvc(Y), utils.mkvc(Z)]\n",
"Qfx = getInterpmat(mesh, rxLoc, 'fx')\n",
"Qfy = getInterpmat(mesh, rxLoc, 'fy')\n",
"Qfz = getInterpmat(mesh, rxLoc, 'fz')\n",
"Qex = getInterpmat(mesh, rxLoc, 'ex')\n",
"Qey = getInterpmat(mesh, rxLoc, 'ey')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 11
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Bx = reshape(Qfx*B, (size(xr), size(yr)), order = 'F')\n",
"By = reshape(Qfy*B, (size(xr), size(yr)), order = 'F')\n",
"Bz = reshape(Qfz*B, (size(xr), size(yr)), order = 'F')\n",
"Ex = reshape(Qex*E, (size(xr), size(yr)), order = 'F')\n",
"Ey = reshape(Qey*E, (size(xr), size(yr)), order = 'F')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 12
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Bxa, Bya = MMRhalf([-550,50], [550, 50], X, Y)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"subplot(121)\n",
"contourf(X, Y, By.real, 20)\n",
"plt.colorbar()\n",
"plt.title('By 3DFDEM')\n",
"subplot(122)\n",
"contourf(X, Y, Bx.real, 20)\n",
"plt.colorbar()\n",
"plt.title('Bx 3DFDEM')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 25,
"text": [
"<matplotlib.text.Text at 0xe148ba8>"
]
},
{
"output_type": "display_data",
"png": 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UVETnWbNmDaZMmYIlS5Zg4sSJ/DoaRWjSIgiAQoXDTsDs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\n",
"text": [
"<matplotlib.figure.Figure at 0xd475fd0>"
]
}
],
"prompt_number": 25
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"subplot(121)\n",
"contourf(X, Y, Bya, 20)\n",
"plt.colorbar()\n",
"plt.title('By analytic')\n",
"subplot(122)\n",
"contourf(X, Y, Bxa, 20)\n",
"plt.colorbar()\n",
"plt.title('Bx analytic')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 26,
"text": [
"<matplotlib.text.Text at 0xe737c50>"
]
},
{
"output_type": "display_data",
"png": 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kCNx51RRJikRPhk5FiFVh83pusnyHFAXC6vUEiEZSOJAxrvFljdraWpw7dw7j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\njGT3oE548t///pfMmTOHEEJIt27dyK1btwghhLz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"text": [
"<matplotlib.figure.Figure at 0xd86f978>"
]
}
],
"prompt_number": 26
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"vec = np.linspace(0,size(Bya)-1,size(Bya)) \n",
"plot(vec, utils.mkvc(Bya), vec, utils.mkvc(By))\n",
"plt.legend(['Analytic', '3DFDEM'])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stderr",
"text": [
"C:\\Users\\SEOGI\\AppData\\Local\\Enthought\\Canopy\\User\\lib\\site-packages\\numpy\\core\\numeric.py:320: ComplexWarning: Casting complex values to real discards the imaginary part\n",
" return array(a, dtype, copy=False, order=order)\n"
]
},
{
"output_type": "pyout",
"prompt_number": 16,
"text": [
"<matplotlib.legend.Legend at 0xb6e3470>"
]
},
{
"output_type": "display_data",
"png": 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TwXyQn0xGm7o6yOwi6TOrTRIakgmhEMT1Y1TZqqhx1DAa9WG1ql/wfWICPB6J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\n5T5EFW8VFRWV+5D/H1Iy4DAZuPl4AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0xb6e3588>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"subplot(121),\n",
"quiver(X, Y, Bx, By)\n",
"subplot(122),\n",
"quiver(X, Y, Bxa, Bya)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 17,
"text": [
"<matplotlib.quiver.Quiver at 0xd280cc0>"
]
},
{
"output_type": "display_data",
"png": 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OELVr1y4RIykVDE9PT3bAfuWVV8jJSJUqVTB48GByQtGzZ0/WBK9Pnz5wc3NT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\nNG3atJpGRMjKysLYsWOFsRkZGXjnnXfY7drZ2WHQoEFCzcbGBq6urmy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"text": [
"<matplotlib.figure.Figure at 0x828ccc0>"
]
}
],
"prompt_number": 17
}
],
"metadata": {}
}
]
}