mirror of
https://github.com/wassname/simpeg.git
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175 lines
189 KiB
Plaintext
175 lines
189 KiB
Plaintext
{
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"metadata": {
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"name": ""
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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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"%pylab inline"
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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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"Warning: Python backend is being used for solver. Run setup.py from the command line.\n",
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"Warning: mumps solver not available.\n",
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"Warning: upgrade your scipy to 0.13.0"
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]
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},
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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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"\n",
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"Populating the interactive namespace from numpy and matplotlib\n"
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]
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}
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],
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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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"hxind = ((10,25,1.3),(41, 12.5),(10,25,1.3))\n",
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"hyind = ((10,25,1.3),(41, 12.5),(10,25,1.3))\n",
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"hzind = ((10,25,1.3),(40, 12.5),(10,25,1.3))\n",
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"hx, hy, hz = Utils.meshTensors(hxind, hyind, hzind)\n",
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"M3 = Mesh.TensorMesh([hx, hy, hz], [-sum(hx)/2,-sum(hy)/2,-sum(hz)/2])"
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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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"from MagAnalytics import MagSphereAnalFunA, MagSphereAnalFun"
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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": 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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"bx,by,bz = MagSphereAnalFunA(M3.gridFx[:,0],M3.gridFx[:,1],M3.gridFx[:,2],100.,0.,0.,0.,0.01,np.array([0.,1.,0.]),'secondary') \n",
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"Box = 1.\n",
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"mu0 = 4*pi*1e-7\n",
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"H0 = Box/mu0\n",
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"flag = 'secondary'\n",
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"Bxra, Byra, Bzra = MagSphereAnalFun(M3.gridFx[:,0],M3.gridFx[:,1],M3.gridFx[:,2], 100, 0., 0., 0., mu0, mu0*(1+0.01), H0, flag)\n"
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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": 10
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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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"colorbar(M3.plotImage(Bxra, imageType='Fx'))"
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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": 11,
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"text": [
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"<matplotlib.colorbar.Colorbar instance at 0x000000000AAF71C8>"
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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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xxResW7eOhQsX6rZ57LHHePLJJzlw4ABff/01Bw8eBGDLli00NjZSUlJCdnY2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\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0xabe94e0>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 11
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"fig, axes = subplots(1,3, figsize = (15, 5))\n",
|
|
"bx,by,bz = MagSphereAnalFunA(M3.gridCC[:,0],M3.gridCC[:,1],M3.gridCC[:,2],100.,0.,0.,0.,0.01,np.array([0.,0.,1.]),'secondary') \n",
|
|
"M3.plotSlice(bx, vType='CC', ind=5, ax = axes[0], grid=True, gridOpts={'color':'b','lw':0.3, 'alpha':0.5}); axes[0].set_title('$b_x$', fontsize = 16); #axes[0].set_xlim(0,500); axes[0].set_ylim(0,500)\n",
|
|
"M3.plotSlice(by, vType='CC', ind=5, ax = axes[1]); axes[1].set_title('$b_y$', fontsize = 16);# axes[1].set_xlim(0,500); axes[1].set_ylim(0,500)\n",
|
|
"M3.plotSlice(bz, vType='CC', ind=5, ax = axes[2]); axes[2].set_title('$b_z$', fontsize = 16);# axes[2].set_xlim(0,500); axes[2].set_ylim(0,500)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 12,
|
|
"text": [
|
|
"<matplotlib.text.Text at 0x120c3f60>"
|
|
]
|
|
},
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
|
"png": 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Qn04hLUNPaRnEIdkv1H8jEbo8yc5GRsqGdDaC71ufvfDdTId7wI713iR4nk1k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\nZAAAAABJRU5ErkJggg==\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0x1073cb70>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 12
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"fig, ax = subplots(1,1, figsize = (5, 5))\n",
|
|
"M3.plotSlice(np.c_[bx, by, bz], vType='CCv', view='vec', ind=1, ax = ax, grid=False, gridOpts={'color':'b','lw':0.5, 'alpha':0.8}); "
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "display_data",
|
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"png": 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Wfqr8vD1oNDB8Ksz7CAwqBjggCDq/CQtVCiwDmhbNISYay8mTzq8FIUtKfUaW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\n",
|
|
"text": [
|
|
"<matplotlib.figure.Figure at 0xa397518>"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 9
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": []
|
|
}
|
|
],
|
|
"metadata": {}
|
|
}
|
|
]
|
|
} |