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@leouieda
Created August 8, 2014 15:08
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Examine the gravity fields of a prism when calculate on boreholes through it.
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"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Gravitational fields of a prism along a borehole\n",
"\n",
"I'll use this [IPython notebook](http://ipython.org/notebook.html) to check the results of a rectangular prism along a borehole.\n",
"We'll look at 3 cases: \n",
"\n",
"1. Along the South side\n",
"2. Along the South-Westers corner\n",
"3. Through the center (x, y) = (0, 0)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image\n",
"import numpy as np\n",
"from fatiando.vis import mpl\n",
"from fatiando.mesher import Prism\n",
"from fatiando.gravmag import prism\n",
"from fatiando.constants import G\n",
"from fatiando import utils\n",
"import fatiando\n",
"%matplotlib inline"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It's important to note that there was a problem with `fatiando.gravmag.prism` when the computation points were not above the prism. This has been fixed (see [this pull request](https://github.com/leouieda/fatiando/pull/113)) and will be available in the 0.3 release.\n",
"\n",
"For now, you can use the latest version of Fatiando from [Github](https://github.com/leouieda/fatiando). Follow [these instructions](http://fatiando.readthedocs.org/en/latest/install.html) to install it."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print('Using Fatiando version {}'.format(fatiando.__version__))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Using Fatiando version 0.2-178-g5041c6b\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## The model"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Very important to remember that the z-axis points down. So negative `z1, z2` would make the prism above the `z=0` plane. Also, this means that `z1 < z2` for z1 to be the top and z2 to be the bottom. So instead of:\n",
"\n",
" model = [Prism(-1300, 1300, -9000, 9000, -2000, -2100, {'density': 300})]\n",
" \n",
"Use:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"model = Prism(-1300, 1300, -9000, 9000, 2000, 3000, {'density': 300})"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The same goes for the computation points."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Borehole 1: Side\n",
"\n",
"First, I'll take a look at the side of the prism:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"n = 500\n",
"x = -1301*np.ones(n)\n",
"y = np.zeros(n)\n",
"z = np.linspace(0, 5000, n) # <-- z coordinates descend into the prism to a depth of 5km"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data = np.array([prism.gx(x, y, z, [model]),\n",
" prism.gy(x, y, z, [model]),\n",
" prism.gz(x, y, z, [model]),\n",
" prism.gxx(x, y, z, [model]),\n",
" prism.gxy(x, y, z, [model]),\n",
" prism.gxz(x, y, z, [model]),\n",
" prism.gyy(x, y, z, [model]),\n",
" prism.gyz(x, y, z, [model]),\n",
" prism.gzz(x, y, z, [model])])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The grey area in these plots marks the prism."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, subplots = mpl.subplots(1, 9, sharey=True, figsize=(14, 6))\n",
"titles = ['gx', 'gy', 'gz', 'gxx', 'gxy', 'gxz', 'gyy', 'gyz', 'gzz']\n",
"for title, d, ax in zip(titles, data, subplots.ravel()):\n",
" ax.set_title(title)\n",
" ax.plot(d, z/1000, linewidth=2)\n",
" xs = ax.get_xbound()\n",
" ax.fill_between(xs, y1=model.z1/1000, y2=model.z2/1000, color='grey', alpha=0.4)\n",
" ax.set_xlim(*xs)\n",
" ax.grid(True)\n",
" ax.set_xticks(ax.get_xticks()[1:-1:2]) \n",
"ax = subplots[0]\n",
"ax.invert_yaxis()\n",
"ax.set_yticks(np.arange(0, 5.5, 0.5))\n",
"ax.set_ylabel('z (km)')\n",
"mpl.tight_layout()\n",
"mpl.subplots_adjust(wspace=0)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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ySbGFGjWgbVuYMUNiXgTx4kRH0hVFcdGR9OznmWfEMK9XD959F5o0Ma1IURSv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\notqECRMAktofMWJESsf7uV+yZc5qssc/+2w3RoxoxTvvzGb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eeyyXOXOiOyh67twhvPlm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fDNN/DJJ0JLbW0+W7eCq4tOXJsNDjxQtKlnngmjR/dSeDfIVG8iVU6LFsGFF8IZZ8Cbb+qjIVjM\ndl1Q7Z7eGN3udadBjH7zj1oTS+v9rrYDfV9hoZPx4/PDdr5A37dhg5MhQzq/bm+utX49rFjRYr8b\nboD77+9YTnTik+vppGcCHqACiEf0pN8BfN7qPScBVzWtD0N0hXSWOC4sTnpfQtPguedEYVZWQmws\nXHEFFBRA0wMx6QiXkx4s69fDrFkdfyitF//TwNpaKC0VS2Vl6Nf85z/hqqvC9x0iSetyWr5c3FCO\nHQurVxssTNGG9r+nU0+F996Dc86BO+6AUaP0jw1T9IxR7Z5e+OtUFH0lILzlpGlQVQXbtollyxbR\nlv7wA/z6a+ucJjB1Klx/PZx0kvq9BkJP5bR2rfi/ysmBHTuUTY1CtXt9g2grp75KWZnoCJs5UyTp\n27ULMjJaXjfCSd8fkRTO2rS8ANwPXNb0+oKm9ePACYALuBARw94eUznpFRVw0UXwv/+J/RNPhKee\ngqFDjdXVE0Y0BpoGAweKCh9JEhNhwgRwONouVVXihm3LFtGL/4c/wH/+AykpkdXXHa3Lqa5OfBeb\nTTzAcDgMFqdopnU5aRpkZYmHS5s3w5AhBotTNBNtN0HqZrV3uFzwxRfw+uviP7ymRhw/6ih4+mkx\nwkvRNT2Vk6aJUUQlJcJh13OkgqJrVLvXN4i2currHHEEfPedGJl13HEtx7ty0q06alkBHIQIEjwA\n4aCDcM4XtHrfVYigr/F07qCHDafTqefpg6IrLUuXwkEHiT/3lBR48UX44AN9HXSZ7ALB6bFYYM4c\n/bR0NW+myyV+aE4nfPopfPghvPMOfPmlGGrvH2b/9tvwpz/Bq6+K9y1eDD//LHr1g1aiQznFx8Ow\nYSLRXlGQs7zJVG+iXUt5uXDQk5Jg8GBjNASCkeUgUx0IFvm0O40W0IxMtglES2IinHIKPP+86GW/\n/37o1w++/lqEpzz7bPgcgb5mm3BgsYjRCSAehhihoT1mu264kE+/02gBzchgG7PV60hcd7/9xHrd\nusDer6eTrgiSl1+GyZNh40bhqC9bBn/+sxrO1ROXXy5uenq7+HzQ0CB6PsrLxZP6N94QPZfr14vh\n4L/+Kh6kLF4s4hTffRfuvbd7fR9+KIYoH3ccHH64uFE744zI2CYQ/I3GypXG6lB0jT80IyNDtQcK\nRV8hNVWErK1fD3/5ixi5NHMmXHllaA9qFYKjjxbr9k66QqFQyIx/iHtVgBPG9JXbvage7q5pMG8e\n3HST2L/8cnj4YZEkri8h+7Aar1fcJNXXi3V32929VlUlHqRs2AB79oSm5eab4e67w/v9AqV9Oc2e\nDffdB7fdJmKdFXLQupx+/RXGj4dx49omIFEYj+ztXrCoYZ/68eKLcMkl4v/kggtE3hk1bWpbAimn\noiIxzD0zE3bvVjY0Ahl+T+FEtXuKSHDvveL+/8YbxX23n66Gu+s9BZuiB3w+uOYaeOIJ0Ug89BD8\n7W89f07RPYsXi15rvYmNFcPFhw8XsfEZGZCe3nHt305Olu+Gwt+T/ttvxupQdI0/k3RCcFOZKhQK\niZgxAwYMEMPhFy0SYWy33260qr7HyJGQmyvCCX77DQ44wGhFCoVC0TOJiWLd1ewg7ZHMXdAXGWI8\n/DidTnw+MeztiSeEs/fGG8Y46DLZBcKjZ9OmXp+iCWenR8eMEcn8PvwQXngBHnxQ9ETfeKOYMm/m\nTDjrLDjmGBG6MGyYGPrYGwddr3IaN06sgx3uLlO9MYuWQOtPNMd0yXjt3iKfdqfRApqRyTbh0HL0\n0WLqMKtVjFz66CNj9YSLSGppHZf+eav5gszW7slU/qEgn36n0QKakcE2ZqvXkbhusOGKqifdIPwO\n+oIFYlj7u+/CsccarSp6OOcckX19x46WYz5fz0PZ2w95375d9F76X1u+XJxr7VoxJV6ovP02nHZa\n775juBgzRtwwFhWJ79jXwiwUCoWiL3HCCXDPPSLEbeZM0Rucmmq0qr7FsceKB+QffwzXXWe0GoVC\noQg/KibdADRNzLH95JPCIXrvPZg2zWhVvacvxr643SJJXEWFSBjnX1yuztcrVoQnWc2hh4oh+UbQ\nWTmNHSsePCxbJh5uKIyndTn98INIKnnYYWJbIQ99sd3rDhWbGRm8XvGb/vFHkYfmqaeMViQHgZZT\nSYmYis3haJn5QhE5ZPs99RbV7ikiwWOPwbXXwtVXi20/KiZdIu69VzjosbHR46DLRm2t6KX4v/8T\njrjbLaZF82/798ONxSJ6RBITISZG3EDExLRdMjNFYkCZGDdOOOkrVyonXaFQKPTGZoN//UskhHz2\nWdEbrOb8DpysrJaH3Z9/Ls/INIVCoQgXKiY9wvznP3DLLQBOXn5ZDgddBru0Jhx6nntOPKVaswaK\ni0WCmd27Ra+5yxW4g56Y6KSgAO66SyT1e+YZkaH3nXfgs8/EDcKKFeIapaXivOXl4nrFxcLxXbFC\nTNv2ww/w1VciHnHIkOC/k57lFEryOJnqjdIihwYVkx4a8ml3Gi2gGZlsE24t++0HF14oetVvu814\nPb3BCC0nnSTWH35onAYzXjdcyKffabSAZmSwjdnqtQw2b4/qSY8gX3whpl8BkdH99NON1RPNTJ8u\n4v3DMff3vffKl5E93ISaPE4RGfxD8dTcygpFdHHbbfD88/Daa2JKnmHDjFbUdzj5ZGG/Dz+MvmHK\nCoUi+vDfwwWaQE7FpEeIzZvh4INFb+s//gHz5xutKPzIHvuiaWJoYbDzTMfFiRunESPEVGv77w/n\nnSfCFfoinZXT6tWw777iexYXGyRM0YbW5fTzz6L9OPBAsa2QB9nbvWBRsZmR57zz4L//hYICmDvX\naDXGEkw5aRoMGgQ7d6p8KpFG5t9TKKh2TxEJ7r8fZs2CG24Q235UTLqB1NWJXvPSUjjxxLYT2Csi\nh8Uihp2vXdsyLL28HMrK2q7922VlsH49VFcLJ3b16pZzxcaKG6toYeRIET+/caNIkKeS8MhFTIxY\nu93G6lAoFOHnr38VTvrChWLedDXDRmBYLGLO+WeegbfeUk66QqGQG/89nP+erieifBBvW4yKN7jy\nSvGUd8QIEc9ss8kV+yCTFtBXj8MhhnYfeKCYr3b6dLj0UvFka+5cMUT+tdfg009Fgrfq6s61BPoD\nCyd622XsWLHd+mGEUXqCJdq1OBxiHaiTbsaYLpnqQLDIp91ptIBmZLKNXloOPVT8J5WWwgcfGK8n\nFIzScuaZYv3GG+Zr92Qq/1CQT7/TaAHNyGAbs9XrSFzXfw/nv6frCVM56Ubw0kuwaBHEx8P//gfp\n6UYrUgRCVZVw1DvjmGNEb/P//icSwf36q0gU53L17aFSoSSPU0QG/0MhPWYkUCgUxmKxwIwZYvu1\n14zV0tfIz4eMDPFwedMmo9UoFApF1wTbk65i0nVk40Yx/KqqSvTQzpxptCJ96UuxLz4fNDR0v1x0\nkRga3xtycuCXX6B///DoDgddldM994iZB/7+d3jwQQOEKdrQupy2b4fcXBg4UGwr5KEvtXuBoGIz\njWHLFhg6FBISYM8eMY2nGQmlnC65RMzocscdoWXJVwSP7L+nYFHtniIS3HCDuL++/36x7UfFpEcY\njwfOPVc46KefLoZUKwKnslJkvAURHuBfGhuhvl7E+dfVdb4dyOseT2S+x65dItHXCSdE5nq9QWV4\nl5dgh7srFIq+xZAhcNhhLfN+n3qq0Yr6DmeeKZz0119XTrpCoZCXYHvSTeWkO51O8vPzI3Kt+fPh\n++9F5tFnn+2Ybj+SWnpCJi0g9Fx2WT7r1kXmeqmpIlFabGzHxeVyMmBAfqevdbZoGtTWisXlgt/9\nDo4/Pjw69S6nYIe7y1Rvol1LsMPdjbKHkeUgUx0IFvm0O4F8gzUIZLKN3lpOPFE46f/3f4E56Way\nTXccfTSkpcFvvzlZsya/Ob9KpDBjexsO5NPvRLV7xmuI5usGG5NuKic9UqxZI4ZdgYhH79fPUDl9\nkj//WWS5jQSVlWLpjGuugUcfjYwOoxk2TORO2L4dKirETY9CDlRPukIR/Rx3HMyZA598YrSSvkVM\nDJx2GvznP/Dqq8KGCoVCIRsqJt1gfD6YMgW+/VbEND/3nNGKIofesS+aJmLFXS6RuM2/3rxZTGtX\nWioWlyt819x/f5EYLprorpwmThTT1H37rRgFoDCO1uXU2CgadZstcqEaisCItpg/FZtpHB4PZGWJ\nh6QbNsDw4UYrijyhltOnn4qHHCNGQFFRx9GLivDSF35PwaDaPUUkOO88Md3m88+3ncZZxaRHiKef\nFg5OTg488IDRaqILi0XMHxsX1zI6QdNEPNrWrfpcc+VKkbDLbu98sdnE+7ze0BaPp2V75kx45BEx\nbN4o9ttPOOm//aacdJmwN7XUXq94EGhV83IoFFGH3S6ylb/9triPMKOTHipHHy0Sa27YAD/8AJMn\nG61IoVAo2qLmSe8GvefA270bbrpJbD/xRPfTrckwB6IfmbRAcHosFpHZVS98Pifbt4ve+g0bRLb3\nlStFxvalS+HHH8WydCksXw4rVsCqVeJ969eLDP9btogh5Lt2QUkJlJWJ4fU1NSKJXWOjcLyefhq+\n/rprLZEop2CSx8lUb6Jdi8XSMuQ9kLj0aJ5nVMZr9xb5tDuNFtCMTLaJhJbDDxfrH37o+b1ms013\n2Gxw1FFCgz/pbKQwY3sbDuTT7zRaQDMy2MZs9VrNkx7lzJ4tsrmfdBKccYbRaszDbbeJHvXWywcf\nGK0qeC65BI480lgNaq50efE/eVVx6QpF9BKMk65oy3HHifWrr4oH4AqFQiETKibdIH76CQ49VAxX\nW7kSRo0yWlHkkSn25ZNP9Jv2zGoVSdVSU8U6KUkkXIuLE+vW20lJkJcn4uSGDxfZ/o0eqtxdOfnn\n6s3KEnP1KoyjfTllZEB5Oezdq5JRyoRM7V44ULGZxlJXBykpYnRVRQUkJxutKLL0tpwOPlhMe/r6\n6yIUTqEPfeX3FCiq3VNEgmOPhc8+g48/bjvzk4pJ1xGfT2QB1zT429/M6aDLxvHHi/jdqirh2JSV\niXV3263nVG8/x3rrIcY+n/hcWVno+h5/HP76195/z3AzeLC4KSwpEU56//5GK1L48ecqaGgwVodC\nodCP+HgYP16EUC1dKmLUFYFz3nnCSf/Pf5STrlAo5MJ//xYXF9j7TTXcXa94g5dfFnOb5uTALbcY\nqyUUZNIC4dPj7/EeNkw8XZ82Dc46Cy67DG68EebNE3PYv/EGfP45fPed+HNfvRo2bRIx5O+846S6\nGrZtE6Ml/vznsEjjtdeC/0wkysliaRny3lNcukz1xgxa4uPFOpBhnNEc0yXjtXuLfNqdRgtoRibb\nRErLgQeK9YoV3b/PjLbpScOf/iRGNH70kcgFE6nrGoEMNu8N8ul3Gi2gGRlsY7Z6HYnr1tWJtf9+\nridUT3ovcbvh1lvF9r33imFqir7Frl1ijtUffwzuc0OHQmKiGNKelNSy3dkx/7amCSdr+nR9vks4\nGDdOPHRauRKmTjVajcKP/8mrv5FXKBTRyQEHiHW0Tf8ZCbKz4Q9/EA/fn3tO5KxRKBQKGfB3sgTa\nk65i0nvJE0/AVVfBPvuIp97+KbnMSF+NfXngAfjHP3p/nvvvhxtu6P159Kancnr0URG2cdllIuO8\nwhjal9NBB8GyZVBYKEaGKOSgr7Z7XaFiM43nq6/EMPdJk2DJEqPVRJZwlNPnn4uRc7m5YoYVu+qO\nCjt96fcUCKrdU0SCUaPEzE/r1rUNjVYx6TrgcsFdd4ntu+82t4Pel7nkEjF92pdfioyLrRf/NAku\nl1g2buz6PE891Tec9J5QGd7lxP/kVWUtViiim/33F+vffhO5VdS9RXBMnQojR4qb4Y8+glNOMVqR\nQqFQtIyEVDHpnRDueIN//lPMjX7IIXD66cZq6Q0yaYHI6fH5WpLHXXcdLFok4tSvu07Enh9zDPTr\n52TQIMjM7DmUIdB5D0MlUnZpPVd6dw9gZao3ZtCiYtLlvXZvkU+702gBzchkmzt1dnsAACAASURB\nVEhpycgQvcC1tVBcbLyeQJBBi1+D1SpGgkFkRoOZsb0NB/LpdxotoBkZbGO2eh2J6wY73F3vnvQ4\n4CsgFogB3gFuavee/Kbj/r+iN4G7ddbVa2pqxPBmgHvuaRkqo5Cbq64SIQp6MHu2PueNNNnZYoqv\n0lLYsUNMG6cwHtWTrlCYh7FjRcLSoiI1Y0woXHAB3Hyz6EnftElMhapQKBRG4r9/CzRxXCRcywSg\nFvFA4Fvghqa1n3zg78Cp3ZxDupj0hx6C66+HyZPh22+Vkw7yx75omkj2tnVraJ9PShJTlP3lL6Ls\n+2qcWyDlNGUKfP11x7kcFZGjfTlNnw5vvaXm/5UN2du9YFGxmXJw5ZUihOqRR+Daa41WEznCWU4z\nZsBLL8FNN4nEvorw0dd+Tz2h2j2F3mia8Bt8PjGtc2sfoquY9EgMd69tWscANqCz2aX7lIvb0AAP\nPii2Z89WDnqk2L1bZL21WEJbrNbQHXQQoydWrxbTt733Xvi+l4y0HvKukAPVk65QmIeRI8W6qMhY\nHX2ZK68U62eeUbNiKBQKY/F4hINutwfeyRcJJ90KLAd2A18Cq9q9rgGTgV+AD4F99RISrniD558X\nw4APOABOOslYLeFAJi3QtZ533+153tjw4+z06BlnQP/+Yih4Xp4Yjni3zkEakSynQJLHyVRvzKAl\nGCc9mmO6ZLx2b5FPu9NoAc3IZJtIavEPcV+/vuv3mNU2gWqYPFnkDCothRdeiNx1I4UMNu8N8ul3\nGi2gGRlsY7Z6rfd1g41Hh8hkd/cBE4BU4BPE8HZnq9d/BgYjetxPBN4GRrc/yQUXXEBeU1BRWloa\nEyZMID8/H2gxbE/7fgJ9f2f7Hg/cfrvYv+mmfCyW0M63fPnykK6vx/7y5ctD+rx/e9OmTc37epbT\n4MFOpk+HtWuF3V0uJxYLJCWJ/ZoasZ+SIvarq8V+aqrYr6wU+2lp4nzl5U48HoiLy6exESoqnNTX\nQ2NjPrW1oGlOxPOlfL+iprXYLylpu//QQ06OOCI6yqmxUXyvlSv1/T2Fa98Mv6e1a9OACdTXy/E9\nZSuHUO0uQ7snU/0V7VxLu2e0Hpn+nyJZTmVlYr+oSA49famc/PsWCxx/vJOffoKHH87nkkvg66/D\nbweZykGvff92X/099bSv2j159mWqF+HcF6N5nFit4HR2LKfOiPRA7VuBOuCBbt6zETiYtsPipYlJ\nf+01+OMfxVC0NWvU1CitMSr25b//hfPOi/hlO5Cb27vh9JEikHIqLRUZ7RMToapKhAooIkv7crrh\nBhFmM38+/OMfBgpTtCHaYv5UbKYcNDRAQoLYrqsTU4KagXCXU2MjDB8ukvB9+CGceGLYTm1q+trv\nqSdUu6fQmy1bRF6swYPFdmuMiknPBNKatuOBY4Fl7d6TTYuwSU3bncWtS8Fjj4n1ddcpB10GNE2e\nuclTU41WED769YOcHDE3/ObNRqtRgIpJVyjMRGysuJn7//bOPEyK4vzjn9mLBZZjCXIJ4VAUDQoq\n4BV1o4KCikc0niGoMYbggRrFIz803jd4oCHe8RbvA6OgjHgLKARFRQVEDgEFBJGFhe3fH+/0zswy\nsztXd9VMv5/n6ae7Z2e7vlPVXd3V9R61tdoHZ0NpKZx9tmyPHWtWi6IowSUTc3evB+kdgTcRG5IP\ngZeAN4AzIwvAscCcyHfGASd4JSbWHCQTZs6Ed9+VwdiwYWa15BKbtEB6ekIheO012Guv+GXPPWWJ\n/WzAgIzUpPzNjh0zOX7q+N1OjQWPs+m8CYIW9Um3t+xssU972LSAOmyqG7+1dOki68WLE/89yHWT\njoYzzhCrhMmTG46zkutyvcaGOs8G+/SHTQuow4a6Cdp57XW5bvBKm3zS5wC7J/h8Qsz2+MhiPXfc\nIevTT5d0XIod9OkD77/f+Pc2bZIb9ZYtqR+7WzcYOVJyGpaXy7qsTKwoYpeyMth//4x/gpX07g1T\npshDzeGHm1ajuHk1dSZdUYKBO0jPBzcqm6mshFNPhfHj4eab4cEHTStSFCVopJsjHfIn9Zlxn/QV\nK+SGWVMj0VZ79DAqx0rywffl3nvlbfqqVbB6tSyrVsFPPyX3RerfH9q0kRt969bQooX4aldURNet\nW0s+8dJSf39PJqTaTvfeKzMQJ58sfv+Kv9Rvp/Hj4ayzYMQIuOsug8KUOPKh30sH9c20h9GjJQbF\n1VfDZZeZVuMPXrXT/PkSMb+oSJ7hunbNeRGBIh+vp4bQfk/xmrfegqoqmdB76634vyXzSfcjuntB\ncM89MhM7dKgO0G3jk0/E56xJk+jA2R08FxXJi5VNm6KL48jfyspk4N25s7zh+uEH+P57+OWX+ONP\nn56ajgMPhDfeyP3vM4Vr7u6FeaCSPuqTrijBonNnWetMevb06AEnngiPPgo33QR33mlakaIoQcI1\nd09nJj1QMZsz9TeorZVZRYC//c2sFi+wSQukp8dx4NBDJVbAm29KLvXHH5f2GjcObr1V3BQmTIAH\nHpAb9MSJ8PzzEul1yhSYNg0++kjetNcfoKfjo9ShAyxcCEuXwsqVMju/YUN65vUN4Xc77bSTrL/8\nUq4B03oaIgha1Cfd3rKzxT7tYdMC6rCpbtQnPTk2aGlMwyWXyPree+WFvF/leoUNdZ4N9ukPmxZQ\nhw11E7Tz2utybQwcVxBMnSqDr1//GgYONK1GiSUUkoG4DTz2GHTvDttuC+3aiQl8s2ZQUiI6Yxf3\nYcFmWrWSYHjV1Vuni1D8R2fSFSVYqE96bvnNb+DooyW9nS3PDYqiBINMAsepT3oKnHgiPPEEXHEF\nXH65MRnWY5vvi+PIzLjrd/7jjzLL/eOPMsu9dq0s7nb9z376yTttxxwDzzzj3fEbIp12OvBAeUn1\n6qtisaD4R/12mjQJDjtM8vxOmmRQmBKHbf1etqhvpj0sXy4WWpWVcg8LAl6304wZEmemokJS27Vp\n41lRBU0+Xk8Nof2e4jUPPACnnQbDh8t2LOqTniE//gjPPisX8KmnmlajJOLOO6N5UP0mFJIZczew\nXGVl4u2WLeWhoKJCtnfZxYzedOnVSwbpX3yhg3TTuG9f3bexiqIUNttsI7FTVq+WF87NmplWlP/0\n6weDBsHrr4srnE68KIriB2ru3giZ+Bs8+qgEGxs0SMzdTWrxCpu0QPo+6dde652WRD5KFRWwww4S\npfEPf4CjjpLI7gccILnYe/eWc6V1axnEr1sHy5aJz/vcufC//0kwu7SVGGinXr1k/cUXW//NpvMm\nCFrUJ93esrPFPu1h0wLqsKlu/NZSVATt28v28uXm9TSEDVpS1eBGyh87Vl6A+FVurrGhzrPBPv1h\n0wLqsKFugnZe+5UnPZ3AcTqT3gj33y/rP//ZrA4lMaEQvPOOvA1vyKInFJIAblOmSFC3bPj5Z5g3\nT5ZMeegh0WI7DQ3SFX9Rn3RFCR7t2olP+ooVEvNEyZ799xdXrjffFN/0q64yrUhRlEInk5l09Ulv\ngM8+k1nRykqZCW3SxHcJeYXtvi+OI+bna9aYViJv8EeNMlN2Ou20aJHkk23fPrfRcJXGqd9On38O\nO+8sL04+/9ygMCUO2/u9dFHfTLs47DCJQfHii3DEEabVeI9f7fTee7DvvmIZt2ABtG3reZEFRb5e\nT8nQfk/xmjFj5IXgP/8p27Ek80kPlLl7ujz+uKx//3sdoBcCoZCkYvOKP/5RXCNqa6Wjb2gxNUBP\nl86dxQ9y+fLcmAUqmaM+6YoSPNq1k3Uic3clc/bZB4YMEcu4G280rUZRlEJH86Q3Qrq+zu4g/cQT\nzWrxGpu0gLd6/vCH5APnLVskgu4338D06RJYZsyYMHffLX7vf/87nHQS7Lln4rfur70GpaXRN7K5\nxkQ7FRXBjjvK9pdfmteTjCBocTv2VAbpherTZWvZ2WKf9rBpAXXYVDcmtLg+6StWbP23oNdNthqu\nvFLWd94p1pJ+lZsrbKjzbLBPf9i0gDpsqJugndfqk55HTJ8ugb46dpSAYErhU1QUjcreo4f4uT/z\njMyMu2ncNm1K/v/Nm/un1U969YJPPhG/9L32Mq0muKQzSFcUpTBwZ9ITDdKV7NhjD8mb/txzcN11\ncPvtphUpilKo/PKLrNMZpKtPehLOOw/GjROz5LFjfS06b8kH35cVK2TAuWqVDLzdwbe77e4vWpQ4\nT3qTJtG0arGp1ior5WafDy900m2nK6+UFxajR8P113soTImjfjtt2iTnX0lJZtkBFG/Ih34vHdQ3\n0y4efRROOQVOOCFq3VfI+N1Oc+ZAnz5iBTdvnsRgURonX6+nZGi/p3jNiSfCE0/AY49tbaGtedLT\nYMsWqUjwxtRdMcOWLbDrrun59nXtCi+/HB2Qp/MGrFDQCO92UFoq1h6bN8sgvbTUtCJFUbxGZ9K9\nZZdd5DnvscfgH/+Ahx82rUhRlEJEfdIbIVV/g3fekUjWPXpA//5mtfiBTVrAOz21talHdi8vl0ja\nhx8epndv6NTJ/ADdVDslG6TbdN4EQUsolLrJe6H6dNladrbYpz1sWkAdNtWNSZ90zZPunYZrroGy\nMnjkEfj4Y//KzRYb6jwb7NMfNi2gDhvqJmjntdflZmLurjPpCXj+eVkfe6x3QcAU/yktFR/zqVOT\nm7uvXy/fra6GuXMlP+2dd5rVbZqePeU6+OYbncE1TdOmco5u2AAtW5pWoyiK12yzjaxXrjSro5Dp\n1g3OPhtuuQUuvBCmTNFnP0VRcos7udKsWer/ky/dkG8+6Y4D3bvDt99KHs299/al2ILAFt+XmhqZ\nMU80EE82OHe3q6vjj9WmDfz4o5nf4RWZtFOPHpJL9vPPozPrirckaqeuXSVewoIF8mCpmMeWfi9X\nqG+mXVRXy8u50lLYuLHwB4+m2mn1athuO1m/8oqkZ1OSk6/XUzK031O8pl8/mDlTApP36xf/N/VJ\nT5HZs2WA3r69pNpS7GfMGLjqKm+O/dvfwrRpYgpXWirr2MX9rLS0cKO7gwzMFywQk3cdpJtDI7wr\nSrAoL5frfsMGMZcs5PuMSSorxSf9ggvgootg0CAJ0qkoipILMjF3V5/0erim7kceKUGaTGrxC5u0\nQPr57B96yDstL74Y5oADxKKiXz8JPNerl8wsd+4sL3MqK6GiwvsggybbKZFfuk3nTVC0qE+6nWVn\ni33aw6YF1GFT3ZjSUlkp61Wr4j/XusmthpEjxZLys8/gwQf9KzdTbKjzbLBPf9i0gDpsqJugndd+\n5UlPx9xd3xPWwx2kH320WR1KaoRCklLt0UdlAFNRIWmqNm+WlFUbNkgqtZ9+grVrZUm0/dNP0bdc\nmdKiRW5+k43suKOsv/zSrI6gozPpihI8Kith6VIxxe7SxbSawqVJE7j2Wnnh/n//B8cfX9j3dUVR\n/COT6O754t3ki0/6ggUyQ9qihQRpadLE8yILClO+L5deCtdd520ZbdpIKpx27SSQT/3ttm2jOaxL\nS2Udu11aCsXFcqyiIvk/U76FmbTTW29BVRXstRe8/743upR4ErXTQQfBm2/C66/DwIGGhClxFJrP\nn/pm2sd++0nWmXAYDjjAtBpvMd1OjgP77AMffCBm7zfcYEyK1Zhup1yj/Z7iNS1bwrp1EjOrVav4\nv6lPegq88oqsDz1UB+j5guNEc9p7yapVsuQqV/jJJ0u6l3zBNXf//HOp80IPXmQrOpOuKMGjTRtZ\n1zd3V3JPKAS33y4xicaOhdNPhx12MK1KUZR8JxNzd/VJj+G//5W1H1E9bfA3cbFJC6SnxzV3/9e/\n4N57xY/skUfgySfh2WdleeopMYdPx8csRk0m/9Qo7dql/z8m26ldO3nz99NP0VRANp03QdGiPul2\nlp0t9mkPmxZQh011Y9onffXq+M+1brzR0L8/nHaaZIo57zz/yk0XG+o8G+zTHzYtoA4b6iZo57WX\n5dbUiBtucXF6aYx1Jj1CdbXkzwY45BCzWpT0aNUKzjwzte8uXw6jR3unZe7c5JHgS0q8DUboJaGQ\n5EufMQO++iqzlwxK9rhvYHUmXVGCQ7JBuuId114LEyfCpEnw8stw+OGmFSmKkq9k4o8O6pNex5Qp\n4uPZpw/MmuVpUQVLPvi+zJsnaVZABp6u3Prb1dXw4ovpHbt7d5g/P3davSLTdjrpJHj8cXjgARg+\nPPe6lHgStdNf/woTJsBdd8GIEYaEKXHkQ7+XDuqbaR9XXgmXXy7xV665xrQab7GpncaNk5n07baT\niO/qBhnFpnbKBdrvKV6yfDl06CDxqFas2Prv6pPeCK6p+6GHmtWheIfjSCo1r/z6ysq8Oa4t9Owp\n66++MqsjyKhPuqIED51JN8PIkfDvf0sslrFj4eKLTStSFCUfycQfHdQnvQ6/B+k2+Ju42KQF0tez\neTN8/HF0+eADiYL76qvik/7YY3DffTB+fPoXSDo+SumasaSL6XaqP0g3rSeWoGhRn3Q7y84W+7SH\nTQuow6a6MaXFDRynPun+aigthdtuk+2rr4bFi/0pN1VsqPNssE9/2LSAOmyom6Cd116W66Z4Tnec\noDPpwHffiSlTRYWk3lDyB8eBAQMkeJyfFBfLxda0KZSXiwnLww/7q8FvdCbdPG4H73b4iqIUPq1b\ny3rNGrM6gsjAgXDMMfLCf9QoePpp04oURck3bPZJLwZmAIuBIxL8/XZgMPALMBxINNzy1Cf9vvvg\nz3+GoUPhhRc8K6bgMeX7MmyYtwPk006TQGnNmkUH5bED9ETb9ffdHOk2kGk7rVoFv/oVNG8uuR41\nDZu3JGqnm2+GCy8UP8lbbzUkTImj0Hz+1DfTPqZNk/zo++4r+dILGRvb6bvvYOed4eefJVbNEYme\nZAOGje2UDdrvKV7yzjuw337J+3CTPunnAnOBFgn+NgTYHugJ7AncDezlg6Y43KjuAwf6XbKSC/7z\nH1lAOthNmyTw24YN0XW626tXRwf+99+fe81XXRUNYJcvtGkjy6pV8P330LGjaUXBQ33SFSV4tIg8\nPa1bZ1ZHUOnSRczdR42Cs86C3/1OLC8VRVFSIVNzd6990jsjA/F7STxrPxR4KLL9IdAaaO+VmET+\nBo4THaRXVXlVcmpaTGGTFshOTygkEVhbtZJIit26wU47we67iyvDgQfCoEGNL4cdVqcm+x+UgPff\nT/9/bGinWJN3G/S4BEVLqinYCtGny+ays8U+7WHTAuqwqW5MaWnZUtZr18Z/rnXjn4azzoI99oBF\ni+CKK/wrtyFsqPNssE9/2LSAOmyom6Cd116Wm6m5u9cz6WOBC4GWSf6+LfBdzP5iZGC/3GNddXz9\nNSxdCm3bijmTkn88+CCceqp3x6+slEF/y5bRdfPmqZu7l5dLjnSQlwglJbD//t7p9ZKePeHDD2WQ\nvt12ptUED51JV5TgoTPp5ikulvSXAwZIaraTT4bddjOtSlGUfCDT6O5eepUejviajwSqgAvY2if9\nJeB64N3I/hTgIuDjet/zzCf9nnvgL3+BY4+FiRM9KSIwmPB9cRwxu17u22sdobhYIr+WlUWXigoZ\n0FdWill4ou2yMpnp33//6MDdb7JpJzdf7+jRcP31ORamxJGonV54AY46SnwiX3zRkDAljkLz+VPf\nTPvYsEEe7srKYONG02q8xfZ2GjVKIr737y8WcTbFm/ET29spXbTfU7zk/vvh9NNh+HB44IGt/27C\nJ30fxJx9CFCOzKb/BxgW850lQJeY/c6Rz7Zi+PDhdOvWDYDWrVvTt29fqiL26a6JQib7YuoeplMn\nkHcJ2R0vSPvu9sKFC+v2vWqnhvbfeKOKUaNgzZowRUWwzTZVFBfD6tWy36GD7K9cKfvt21exaRMs\nWRKmpgZatZL9lStlv2lT2V+zJszmzVBUVEVNDfzyi+xv3lzFli2wZUuY6mpwz5uoqVTj+4MHw0UX\neVMfXraTmLuHee+96O+y5XzM9313u6F2qqnpC1SxYYM9uoO2726b7ve82q/fb5nWo+1URXk5FBWF\n2bQJNm2qoqzMLn3Z7Lvb+dJOgwaFefRRmD69irvvht69zerRdsrNvvZ7uu/l/oYNsr9qVRi3qeq3\nk0kOQGbN6zMEmBTZ3gv4IMn/O7lg6tSpcfu1tY7TsaPjgON8+mlOishYi0lypcWrdvKK2lrH2bDB\ncVatcpylSx3nm2/kPJgxw3HefttxXn/dca6+eqrz5JOO8+CDjnP33Y4zdqzjXHut41x6qeOcdZbj\n/PGPjnPQQXIOpbNcdVX6em1op+nTRf8uuxTmOZwLvGynadOk/vfd1x8N6WKyHUyVnYt+z6bzNxKp\nxbSMOmzo91xMtlPr1tI2P/xgh5762NBOftXHc89JW1RUOM633wazv83366k+2u95p0HLdZybbpJz\n7IILEv8dSGju4KfBrSvgzMh6AjJAHwJ8DawHPPQs3pp582DZMslxrf7oweCEE+DJJ707/uWXJzd1\nr6wUU/d8xg0c9/XXUFtrVksQ0TzpihJMWraUPOnr1kkqTMUcRx0VzZ1+xhlw8cWmFSmKYjOZRnfP\nl0zHkRcNuWXCBPjrX+G44+Cpp3J++MBhu+9LdXX6F0i6dOoERUXi3xQKRbdjP6uslJRxO+7orZZk\nZNtO7drBypWSO7Zz5xwKU+JI1E6ffQa9e0OvXvD554aEKXHY3u+li/pm2knv3nL9/+9/sMsuptV4\nR7600/LlMrmzahXcdx+cdpppRf6SL+2UKtrvKV5yySUSx+maa+DSS7f+ezKf9CLvpdnLe+/Jer/9\nzOpQsmP8+OgAuKHF6wE6SKaAxYtlALtoESxcCAsWwDffyOzzV1/BRx/BsGGNHspaYtOwKf6Sago2\nRVEKCzfCe/00bIoZ2reH22+X7fPOk/u+oihKIjKN7h6oQXpsYAWI5qree2/zWkxikxZIT4/jwNVX\ne6clGkwkt1xzTfr/Y0s7uYP0l18OG9URiy11A95qSTUFm6n6MNkONp0D6WKf9rBpAXXYVDcmtSRK\nw6Z1Y1bDSSdJpo21a8Oceab/s7A21Hk22Kc/bFpAHTbUTdCeI7wsN1Nzd0NJoMzzww8yE9i0KfTp\nY1qNkimhELz7rpiPbN4MNTVEIrBHt2PXs2end/zKSjFnU6K4g3SdOfAfzZOuKMGkZUtZa650ewiF\n4F//gjffhEmT4OGH89tKTlEUb3Cf2dQnPUVeflnegO63H0ybltNDB5Z88H055xy4447Uv9+li5it\nFxLZttNTT8Hxx8ORR8Lzz+dQmBJHonbatEmCD5aUyEsnxTz50O+lg/pm2smpp8KDDxa+/3M+ttOD\nD0r7tG4Nc+dCx46mFXlPPrZTQ2i/p3jJscfCM8/AxImyXR/1Sa+HSVN3xRy33x5NhFZbCz/9JD7j\nH38Mb7whF9C//w1XXCHfV/+/rVGfdHOUlkoQQtcyRFGUYJDI3F2xgz/9CQYPluj7JszeFUWxm0zN\n3QM1SI/1N3AH6fvsY16LaWzSAv7pCYXEhLB9+62Xdu3kO5s3+6MlFWxppx49ZP3112FrHkZsqRvw\nVktsAMSGTN4L0afL5rKzxT7tYdMC6rCpbkxqSRQ0UuvGDg1vvRVmwgR5nnjpJbj/fn/KtaHOs8E+\n/WHTAuqwoW6C9hzhZbmZmrsH0id982aJsA06kx40rr4a/u//Uv/++vUwbpzMYJaVRZf6+4k+S7Zf\nXOzd7/ODVq0kT++PP0oamg4dTCsKFk2bynm5YUPUT1VRlMLGHaS7MzKKXXTpIplm/vhHOPdcqKqC\n7bYzrUpRFBvINLp7IH3SZ82C3XaTGcFvvsnZYQOP7b4vjiOz5CtXmlYCI0bAXXeZKTsX7TRgAEyf\nLkH7TFmjFDrJ2qlrV4mTsGABdOvmvy4lHtv7vXRR30w7uflmuPBCuOAC2S5U8rmdHEfitUycKPfF\nadPy/6V8MvK5nRKh/Z7iJbvuCnPmyPgzUbDyZD7pgZxJV3/0YBIKie/5nXfK26yKClmKi8W/t6ZG\nAnPFLhs3ws8/y8xl7Dp2e/Xq9P2D337bm9/oFz16yCB9/nwdpPuNRnhXlOCh1739uNHe33kH3nsP\nbrwRLrnEtCpFUUyTqbl7IH3SZ86U/QEDzGuxAZu0QPp6HEdMAJcskTdV06bBCy/AAw/ArbeKefvI\nkZLT9M9/lpvnpEnwyCMS6f3GG+GGG+D662W54Ybocsst4mv2yCMSyXzyZHnJM2eODFBXrMgsgFe6\nFyrY1U7ilx5m/nzTSgSb6sZrLeqTbl/Z2WKf9rBpAXXYVDc2+KTHmrtr3dihIbbcNm3k2QNgzBj4\n5BN/ys1H7NMfNi2gDhvqxobrqVDKVZ/0NHAH6bvvblaHkj2OA4ccIoNn0/TtKwHnysrkjfr69Yln\n4CsqJMp8PuMGj7NlkB4kdEZNUYKH+qTnD4ccAmedJVZ7p5wCM2Zk9mJeUZTCwO231Se9EaqrJZXJ\nli2SXquiIieHVTDj+2LTIH3AAPjwQ9MqGicX7fTmm3DQQbDffmK5oOSeZO100EFS/5Mnw8EHGxCm\nxFFoPn/qm2knL70EQ4fC4YfLdqGS7+3k8ssvsMce8MUXEkhu3DjTinJLobSTi/Z7ipc0bSrjz/Xr\nEw/U1Sc9wqefSnT3nXbSAbrNOI7MOtfWbu0rXn9/9Gi5CSbzGXfX69aJmbtXnHqqd8e2DZ1JN4c7\nI6MzaooSHHQmPb9o1gweflhiH912m0wmDB5sWpWiKH5TWysDdIDy8vT+N3A+6baYutvgb+JikxYQ\nPUOGSHqp1q1hm21g222he3fYcUfo3Vvab6+9YP/9ZTbx8MPhhBPg9NNlwH7ZZXDttWJWft998OST\nmQ7Qw4wZAzfdJP7tN90E110HV14p/maXXioRdy+9FI47Ltc1UU+JRe3UuTMUFYVZsiTa+ZjEprpR\nn3Qz2HQOpIt92sOmBdRhU92oT3pybNBiW7/Xr588KwD86U+wbJk/5eYLLrBrwQAAIABJREFU9ukP\nmxZQhw11Y9v1lK/lxg7Qi9IcdQduJv3jj2W9xx5mdSgN07y5aQVR3JtsY0yeDB995K0WWygpkfzo\nS5fCwoXQq5dpRcHBfVhXn3RFCQ563ecno0fDG2/IMmwYvPZa+g/qiqLkL5kGjYMA+qT36yeB48Jh\nOOCAnBxSieCF74vjiHuCu9TUZLZdUyMzECedlFN5cdx7r8zk206u2mnQIHkx8corMGRIDoQpcSRr\np7/+FSZMgLvughEjDAhT4ig0nz/1zbSTefPEkqxnT9kuVPK9nRKxbJnkRl65UizxLr7YtKLsKbR2\n0n5P8YrFi6FLF+jUSbJQJUJ90hH/5TlzZHu33cxqUVIjFILSUlmyZcuW9AfpffrIC50WLSSfuhJF\n/dLNoNHdFSV4qE96/tKxIzz0kLzM/sc/oKpK3PUURSl8Mo3sDgHzSX/ooTCbNsmb6JYtzWqxwd/E\nxSYt4J2eoqL0zcxmzw5TWSnm3U2aSLDBNm3E1PvXv4btt5cghH36QP/+sO++cgPec0/4zW+gWzdo\n21YGVqFQdMnkJ9rWTo4TBuwYpNtUN+qTbgabzoF0sU972LSAOmyqG/VJT44NWmzu9wYPhvPPl8mC\nE0+ENWv8Kddm7NMfNi2gDhvqxubrKZ/KzcbcPVAz6V99JWvTQeMUM4RCEkwuU1MzN5r8+vXZaxk9\nOj/StTVEp06ytmGQHiR0Jl1RgofOpOc/110Hb70lLpdnnglPPBE1s1YUpTBRn/QUOe88yVV5zTUS\njVvJLbb7vjiOvKCZNcuchooKiVT/9NMSpd4EuWqnjz+WAIy77AL/+18OhClxJGunm2+WjALnnScZ\nBxSz2N7vpYv6ZtqJ44jLlRunpVDdr/K9nRrj66/F3fLnnyW2yF/+YlpRZhRaO2m/p3jFm2/CQQeJ\nle3UqYm/oz7pSI50kEGFEky6dUt/kF5cLLPGiZYOHSQSfdOm4kJRWSlp43LhQ287sT7pjqMzAn6h\nM+mKEjxCIZlNX79erv2KCtOKlEzYfnv417/glFPgnHMkmLFadypK4ZLNTHqgfNJnzgwD5mYwY7HB\n38TFJi3gnZ5QCCZOhEWLZKA+aZJEZL/ySomYPXSo3DBdM+6IGrZsge++E/P0556D8eMlD/upp4qf\n2f77iz/6U09JTnevBui2tdOsWeKvv349rFhhVotNdeO1llRSMRWaT5ftZWeLfdrDpgXUYVPdmNZS\n/9o3rScWG7TkS7938sli7r5xIxx7LKxe7U+5tmGf/rBpAXXYUDf5cj3ZXq76pKfAypXSETZvDl27\nmlajmKC2VszMXIuKXDNlikRuDRI9eoh/3fz50L69aTXBQGfSFSWYlJfLWv3S859x42D6dHEbGz4c\nnn9erdEUpRDJJrp7vnQJWfukT50KBx4oUbc/+CBHqpQ4bPd92bhRLpLa2tT/Z+edJRJr06bygNS0\nafx2WZkEk9uyBQYOlH3byWU7/eEPYp3wyCMyO6DkjmTt9MILcNRRcMQR8OKLBoQpcdje76WL+mba\nS8+e4tP85Zewww6m1XhDIbRTqixYIKbua9bAjTdKrJF8odDaSfs9xSsmTBBr3TPOgH//O/F3Au+T\n7s6e2mDqrpihSRO4/XZ4/XVYtUosK1avlu3q6sT/M3cuPPPM1oPzRNtz5iT/TpMm0fRrJSViHp9u\nOjgbca1Svv3WrI4goTPpihJMmjSR9caNZnUouaF7d8mffuSRcMklkjt9v/1Mq1IUJZeoT3oKyCA9\nbE3QOBv8TVxs0gLe6hk5UmYi335bzoklS+QC2rABli6Vz95+G559tk4Ns2bB++9LhMZJk2TQ/sgj\n4s9+xx3yBvzKK+UmO2qUvDH7059klnnoUJlh339/ufn+9rdyIz766PS129hO3brJtulBuk11o3nS\nzWDTOZAu9mkPmxZQh011Y1pL/UG6aT2x2KAlH/u9oUMlJeuWLXD88bB8uT/l2oB9+sOmBdRhQ93k\n4/VkY7nZmLsHZiZ9zhxZ60y6kojycujYURaQmfVQyDvTp759vTmu37gz6QsXGpURKHQmXVGCic6k\nFyZXXy0TAdOmiXvd5MmFm2JPUYKG5klv9J+hVStYt07eUrZrl0NlSh2F5PtSXQ2/+lVuA/TEmsGf\ncQZccUXujp0OuWynOXNg111hxx3hiy9yckglQrJ2+uwzednYqxd8/rkBYUochdTvgfpm2syBB0p8\nnTfekO1CpBDaKROWLZPAtsuXi1XetdeaVtQwhdZO2u8pXvH3v8MttzQcd8KkT3oxMANYDBxR729V\nwAvA/Mj+M8DVuRbw3XcyQN9mGx2gB53a2qh5e3X11tuxn51+upi4L12aeYqUWKqrZVm9WiK6FgLu\nTPqiRZor3S9SScGmKErhoTPphUvHjvDEE3DQQXDddZIO9phjTKtSFCVb3Mk+W33SzwXmAsle5bwF\n7BZZcj5Ah+hsU6dOYS8OnxE2+Ju42KQF0tdzzz3RoGyNLcXFUFEhL2y6dJEIuX36SNT/qio49FDx\nFz/pJPE3/+yzcEoD9KIiSUG2yy5ykz3hBDjnHPFVv/NOePRRePVVySzw5ZeSb93revGacDhMy5bQ\nurUMGFeuNKvFFtQn3Qw2nQPpYp/2sGkBddhUN6a1qE+6nRpyVW5VFdx0k2wPGyZWU36Uawr79IdN\nC6jDhrrJ9+vJlnLdZzUbfdI7A0OAa4Dzk3zH87m3L7+UdZcuXpek+I3jwJgxplXIDP3y5YmDvpSU\nQGmpvCRw36hddpn4oRUCXbtKCplvv1VLFT9Qn3RFCSbuID1ZNhIl/znvPJg5Ex57TFJtfvQRVFaa\nVqUoSqbY7JM+EbgWaAn8na3N3Q8AnkVM4ZdEvjM3wXGy8kkfORLuukt8As5P9qpAyRpTvi9ffAEX\nXyyz5CUl0UFx7La7X1QEmzfLUlOT/ba7Xrw4Pc1duoiJuAly3U5HHin5uidOhGOPzdlhA0+ydtq0\nSR7WS0rk/FPMUmg+f+qbaS/DhsHDD8ODD0oGkUKkENopW375BfbdF2bNgsGD4aWX7AskV2jtpP2e\n4hVDh8o1/Nxz8uItESZ80g8HVgCfIL7nifgY6AL8AgwGngd2yLUQdyZ9xx1zfWTFBnr1guefN1f+\nunUSZC7VAVOLFvC3v3mryU80V7q/lJbGv2wqCUyODkUJNuqTHgyaNZMH+n79xE3u8ssLx/JOUYKG\nrebu+wBDEXP3cmQ2/T/AsJjvrIvZfhW4C2gDrKp/sOHDh9MtkpS5devW9O3bl6qqKiDqR5Bsf/Zs\n2V+zBqCq0e/7sT9r1ixGjRplrPzY/XHjxqVVn7F+G+FwmIUx+beyaafY41ZVmWunffapYvVqeO21\nMDNnzmLQoFGsXg0ffRRm7Vpo3bqKVavgq6/C/PwzbNpURU0NNGkS5uSToV+/KiorYdEi8dk++GDZ\nnzUrTHFx4bXT5s2y/+23mf0uvZ5k391OpZ2aNoX168O8/joMGbL1ceu3kV/1YLIdMq13G64nm85f\n8cucBdihx6Z+z3Q7/fADQBUbN9qhJ3bfhnaKPaaf9eBVOzz5JAwcGOaaa2D33as45hhzv9fdLqTr\nKXZf+72t9wvtejL1e7//HkCe2xpqJ5McALyU4PP2RKf3BwALk/y/kyk//+w44DilpY4zZcrUjI+T\na6ZOnWpaQh250pJNO8XiZd28/bbjXHON41xwgeOcdprjHH204xxwgOPsuqvjdO7sOM2by/kSXabW\n20++DB3qmWzHcextp6eflt9/xBE5OWxWWmzAj3Zq21bq/PvvvdWQLibbwVTZubiebDp/3X7PFmzq\n90y30/nnS/vcdJMdemKxoZ0Ksd+7+WZp8+bNHefTT/0rtzEK4XqKRfs97zQEvdzddpPza/r05N8h\nSXB1vxImHQBcgMysnxn5bAIwEhgBbEZM3s8HPkjw/5HfkD6ffAK77w477QRzE3m7KznDdt+XmhqJ\nRN5Y7vPiYgnU0qZN/Lqh7cpK6NQpP1KQ5bqdZsyA/v0lX/rs2Tk7bOBpqJ26dpWYBgsWQOQFuWII\n2/u9dFHfTHu59FJJz3X11RJ8tBAphHbKJY4Dp5wigeS2396eQHKF1k7a7ylesdNOEjvrs89g550T\nf8dknnSQNGtvRbYnxHw+PrJ4hvqjKy6bNzc8QP/VrySNWps24vtXVib+v2Vl8vf162Wgv2qVfBa7\nuN+L3Xcjum/ZEr+UlcHxx2cW6dFG1CfdfzTCu6IED/VJDx6hkKSZnTtXAsn94Q8waZI8XyiKYj/Z\nRHfPFzI2M7jiCjEzGD3aLtOaQtSSTTvF4kXdbNniOOvWOU6PHqmZrmdi7p7O8rvfmauXXLdTba3j\nNG0qv2vNmpwcOmMtNuBHO/XtK/U9c6a3GtJFzd0zw6bzV80+k2O6na67Ttrnoovs0BOLDe1UyP3e\nwoWO066dtP/Ikf6Vm4xCuJ5i0X7POw1BL3ebbeT8WrYs+XdIYu5e5NMg2xg6k1743HSTvG1uaCku\nlqjq8+ebViscfbRpBbkjFNLZdL/RmXRFCR46kx5cunaVLDZlZTB+vKQVVhTFfrKJ7p4HHrRAFj7p\ne+wBH38M774L++yTY1VKHCZ8XxwHOneGpUu9LadJk6390Fu1ksG/48jF95e/QNu2MoBq2hTKy+1M\nj+VFOx16KLz2muRLP+KInB46sDTUTgcdBG++CZMnw8EH+yxMiaPQfP7UN9Ne7r5b0neeeSb861+m\n1XhDIbSTlzz8MAwbJs8e//2vuf6/0NpJ+z3FCxxHXFO2bIFNm5K7qZj2STeC48DXX8t2z55mtSje\nEApJIJVrrxV/8w0boLpa1u5SXS3+5GvWyJJJf7VxI3z/PZFUComZPRvefz/z35LP6Ey6v+hMuqIE\nD51JV/74R/FPv/56OO44+PBD2GEH06oURUlETY0M0IuLM4sjUdDm7qtXw9q1Yubctm18fjrTqJbk\npKtn223httvgjjtkuf326La7P3483HsvPPQQjBsHl18OZ58tUVMPOwz23ht69YJ27epfSKlrOfHE\ntGSnjc3t5EYYN5Xy0aa68UOLO0hPFgjRVH2YbAebzoF0sU972LSAOmyqG9Na6g/STeuJxQYtQen3\nrrkGjjoK1qwJc8QR8qybj9hwzsQTNi2gDhvqJijXk5flZmPqDgU+k+76H/fokR+psZT0cRwYPFhM\nrb2kTRsZwG+zjazbtZMXP02aiEl7SYlEj7/5ZtFUWxsNE+duu+vychgxAlq29Fazn+hMur+4Hb7O\npCtKcNCZdAWgqEjM3vv2hXnzZEb91Vc14rui2Ea2kd3zZeiakU/6k0/CCSdIkK5nn/VAlRKHKZ/0\nQYNgyhRfi82a/faDadPMlO1FO73zjvymPfeEDz7I6aEDS0Pt9Ne/woQJEjxoxAifhSlxFJrPn/pm\n2stLL8HQoWL99fLLptV4QyG0k18sWgT9+8OKFRKrYLynCY3jKbR20n5P8YL582G77WQiqyFL00D6\npMfOpCuFSSgEr78ezUFeUyMz2ps3b71dUwO9e5tWLAwbZlpBbuncWdaLF5vVERTUJ11RgofOpCux\n/PrXEvG9qkpe2O6wA5x7rmlViqK4ZGvuXtA+6fUH6Tb4eLioluSkq+f77+Hii+Ef/4Arr5SAKrfc\nIv7oEybAAw/Ao4/CxImw115pq0n3H1LivffS/x+b26lTJ3lhsmyZvBQxqcU0fvqkJxukF5JPVz6U\nnS32aQ+bFlCHTXVjWotrzlxTI2vTemKxQUvQ+r1wOMzee8ODD8r+eefJoD1fsOGciSdsWkAdNtRN\nEK+nXJOtubvOpCt5jeOIudeSJaaVpEd5uWkFuaWsDNq3lxcmy5ZBly6mFRU2OpOuKMGj/iBdUUCC\n1i5YAJddBiedBOEwDBhgWpWiKG5wX/VJT0D37uID8OWXmqLCD0z5vtxwg8yk28BXX0UDyZWWJt4u\nMmy/4lU79e8PM2aIlcDee+f88IGjoXa6+Wa48EI4/3yxGlHMUWg+f+qbaS8ffijWYP37S+rRQqQQ\n2skEjgNnnAH33SeBbT/4QJ6BvaLQ2kn7PcULXnsNDj0UBg4U19xkBM4nvaZGgmqEQtHI00phMnq0\nLKmwcKE83PzwAyxfLsv330vgFXc7WVqrxthzT9h++8z+txDo0kUG6eqX7j06k64owUNn0pVkhEJw\n993y3Dt5MgwZIi/MKytNK1OU4JKtuXvB+qQvWiQprzp3jgZbscHHw0W1JMcLPbW1UF0NO+0Exx8P\nI0eK//qECfDCC/D+++IesfUAPXUtl12WS8VbY3s7ucHjvvvOvBaT+KHFDUKiedLtKDtb7NMeNi2g\nDpvqxrQW9Um3U4Mt5ZaWSuydXXaBL76AY46xO8igDedMPGHTAuqwoW5sOa/zudxszd0LdpCu/ujB\n4aKL5C1yQ0txsVwk1dXe6Rgzxrtj5wMa4d0/dCZdUYKHzqQrjdGqFbzyCnTsKL7pf/5z4ZlwK0q+\noHnSkzBhguQSPvVUuP9+j1QpcZjKk7799tGXMl7Qv380xVvsUlsr682boXlzeOIJ6NPHOx25wqt2\nevxxCVpz3HHw1FM5P3zgaKidXngBjjoKjjgCXnzRZ2FKHIXm86e+mfbyzTdyv+ve3dt7nkkKoZ1s\n4JNPYL/9YP16mUD45z9ze/xCayft9xQvuPNOOPts+NvfYPz45N8LnE/6t9/Kuls3ozIUjwmFYNYs\nGRQmGki7y+bNMot+//0SfTxV2rYt3AA9ucakuXvQ0Jl0RQkeOpOupMpuu8lz0RFHiGtft24yaaUo\nin+ouXsS3IHCr38d/cwGHw8X1ZKcdPW0aAGnnw5/+QuMGAFnnQXnniuRry+8MJpD/aqr0h/UbNoU\ntubNqu3tZNLc3aa60TzpZrDpHEgX+7SHTQuow6a6Ma1FfdLt1GBruUOGyEweSOT3V1/1XlM62HDO\nxBM2LaAOG+rG1vM6n8rVPOlJWLRI1pqvWXEJhWDSJDjtNJldr8+mTbByZXwwrrVr41OmlZRARYUs\nzZvLUlEhKU9uvTXY59u228p62TKxXCgp2N7FPDqTrijBQ2fSlXQZMUKeh6+/Ho49FqZO1RzqiuIX\n7jOaG+w3XQrWJ71HD1iwAObNg549PVKlxGHK9+Wxx+Dkk30vdit23x1mzjStonG8bKcOHSSV3Xff\nRWfWlcxoqJ0++wx695ZsBXPn+ixMiaPQfP7UN9NefvoJWrcW67G1a02r8YZCaCfbcBwYPhz+8x9x\n4Xv3Xdhhh+yOWWjtpP2e4gXnnAN33AFjx8KoUcm/l8wnvSDN3Wtroya3OlAobBxHzNptwMvI8fmC\nRnj3h8ZSsCmKUnjoTLqSCaEQ3HsvDB4MP/wAhxwC3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wBuHyPnKshAYDrpkWm5sZgKHKf9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\nURRFURRFURRFURRFsZX/B9oRzhKQ9kI7AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fd82e2ac710>"
]
}
],
"prompt_number": 6
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Note**: `gy` seems noisy but it's actually around 10^-14, so practically zero."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Comparing with the results you sent me:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Image(filename='Side.png', width=600)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {
"png": {
"width": 600
}
},
"output_type": "pyout",
"png": 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CAN59912cOHECEydOxIULF3DhwgVF/ZYtW2LUqFFavx6iuuIIiG6KiIjAmDFj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JpwUwoQrSRN5XuV95+WR87DQz2kjD/uE09of+bzz9NrprzXHnlEfswzZ+h9M2OGugckL48uysne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\nSUVORK5CYII=\n",
"prompt_number": 7,
"text": [
"<IPython.core.display.Image at 0x7fd82fd14b90>"
]
}
],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"They look pretty consistent. However, I don't see a problem with the tensor components. Note that `gxy` and `gyz` have an amplitude of 10^-14."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Just be sure, we can check the consistency with the Laplace equation (since we're outsize of the prism):"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"gxx, gyy, gzz = data[[3, 6, 8]]\n",
"laplace = (gxx + gyy + gzz)\n",
"print('Calculated Laplace eq (in Eotvos):')\n",
"print(' max/min: {} / {}'.format(laplace.max(), laplace.min()))\n",
"print(' mead/stddev: {} / {}'.format(laplace.mean(), laplace.std()))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Calculated Laplace eq (in Eotvos):\n",
" max/min: 4.26325641456e-14 / -4.26325641456e-14\n",
" mead/stddev: 7.78044295657e-16 / 1.38917642226e-14\n"
]
}
],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Borehole 2: Corner\n",
"\n",
"Now lets have a look at the corner value:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"y = -9001*np.ones(n)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 9
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data = np.array([prism.gx(x, y, z, [model]),\n",
" prism.gy(x, y, z, [model]),\n",
" prism.gz(x, y, z, [model]),\n",
" prism.gxx(x, y, z, [model]),\n",
" prism.gxy(x, y, z, [model]),\n",
" prism.gxz(x, y, z, [model]),\n",
" prism.gyy(x, y, z, [model]),\n",
" prism.gyz(x, y, z, [model]),\n",
" prism.gzz(x, y, z, [model])])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 10
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, subplots = mpl.subplots(1, 9, sharey=True, figsize=(14, 6))\n",
"titles = ['gx', 'gy', 'gz', 'gxx', 'gxy', 'gxz', 'gyy', 'gyz', 'gzz']\n",
"for title, d, ax in zip(titles, data, subplots.ravel()):\n",
" ax.set_title(title)\n",
" ax.plot(d, z/1000, linewidth=2)\n",
" xs = ax.get_xbound()\n",
" ax.fill_between(xs, y1=model.z1/1000, y2=model.z2/1000, color='grey', alpha=0.4)\n",
" ax.set_xlim(*xs)\n",
" ax.grid(True)\n",
" ax.set_xticks(ax.get_xticks()[1:-1:2]) \n",
"ax = subplots[0]\n",
"ax.invert_yaxis()\n",
"ax.set_yticks(np.arange(0, 5.5, 0.5))\n",
"ax.set_ylabel('z (km)')\n",
"mpl.tight_layout()\n",
"mpl.subplots_adjust(wspace=0)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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tTyBjhNJSWL5cjrOZIMcpW7j7bskdcvPNcM89iV+jnvQKOnaE9u1h40YoKTGt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\nJFsMm0rWYfqmlxIs1JPuIo8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FXXH64APxNtV333XFGxLF6c47xRd83XXw97+b0aVUJ2z9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027SnoCWUtwsPCqA3jySZFIVqae5iBDi+EyWlZmTts6Jl3ttkeMgCFDICcHZs2Sr6c5qKDFatcR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\n0v0l3YYS7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RBCCCGEEEIIIYQQQgghhBBCiIbkNmwKffFUex/0x7aa\nawWWAFf7lUMb8CSwCPirRx2jgLnAU9isi/M9aonog5XL3b6FYFsTzgL+gV03U/zKAeA7mJ7FwG+B\nBHbi7sLJwFJgGXCRh/j5hHYNX47tlrGo8+dkx/HaSKYvKdWfX06yn7VW2uhaVm/DFld9BrgPa/Mu\n6E35Tc177hKsfS3FLGtxUq7N+NKTz8c6de2k6wy/chomYeW6DJjpUFvS/V6pa6a76zWpOnJZDpV+\n5mop1wZcxCr3/TOJvkftKUeo7Qn89b3/iX2XbAUeoHCtMtefv5prU8TIccBEwkjSwbz6YAv3zQeO\n9ahlBdY5+GZ/cgsEDgSeBt7hTw4AFwI/x9ZN8M3PgM92njfhJyEu5v3k1rW4pvMnSfpgNplmoC/W\nufu8ZkK7hr+FXcNJkVRfUqo/T/qz1kqpsroO29kE7Iuiq/ZUSfkdhrWrvlg7W068a9mUazO+9ORz\nKHAIlkDlf3ErpSHaKeev2OK4APfg5maRj36v1DVT7npNqo5cl0Mln7kWyrUBV/1Bqe+fSfQ9ak85\nQmxPEb763kF55+cBtyYUFyq7NpPYunw3iQbzyMNAQjsF94pNncd+WAfxukctkMxWfD2xGmsMABux\nEdoD/MlhJHAK1lH4Lp8hWKd+W+fjHcB6f3J2MwfY1Xm+ACuzJJmMdZptwHbgV8BpCWvIJ7RrGJK/\ndpOIV64/991OK6VY76nYzTg6j//sKG4l5Xca8EusfbVh7W1yiddVS6k2M8KjnnyWYqNavdFwFLbd\n7CByMyNux00d+uj3Sl0z5a7XpOrIdTlU8plroVwbcNUfFH//XOswVj5qTzlCbE/5+Oh7N+SdDwRe\nSyguVHZtui77AholSQ+NPbBO+RXszs0Sj1o6sL3pHwfO8agjn2bsLuMCjxpuAL5OLgn1yRhsC8Of\nAAuBH5G7Gx4Kn8XudCfJCOCFvMeryH3B900z/q9hsDvSi4Ef4276dITvviTJz1orpcpqP3I7m7zS\n+ThJSpXfAVi7inDZxpqxNjM/ED3lKKeh+Pcv4kZbKP1eues1qTryUQ6u22gzuf8brmIVf/98ymGs\n3qD2ZPhuT/n46nv/C1gJTCNnxfDZ53v/f6Mk3Q+7sOlNI4H3Ai0etbwH+6cwFfgyNmLrk4GY9/or\n2F1lH3wYaMf8OCGMzjVhU3Bu7Dy+CVycUOw52JSs4p+P5L3mm8A24BcJaYroSDheb0nyGi5XP6cC\nN2E3eCYALwPfdazFZ1+S9GetlZ7KqoNkr+9Kys+FruI2k5Se3vRvoRFiv9fT9epCs+9yiLuNDgR+\ng7WBDUXPxRmr+PvnCTHGUnuKB9ftKa7vDZXq6On6+CYwGhuQmhFj3N7E7i2JXi9NSQYTXVgP/BE4\nEsh60vBy5/FV4C5sKsfDnrT0xf5J3QH8zpMGgGOwzuoUbKGVwdhUq0950rOq8+exzsezSC5Jf38P\nz0/Dyukk91K68CKFi4uMovCupw+SvoZ7qp+IW3G/AKLPvqQ97zyJz1orpcrqFcyfuhqb6tle+k+d\nUK78itvYyM7fxUmpNpOUnt62n3xKaVjV+fuRRb+Pu6xKxffV75W7XpO4ZkrFSaIcXLXRqA38D7k2\n4Lo/iL5/TooxltpT9STZnqr53hCHjt7G/QW5mZlxff64rk0X16DAphGFsHDc3uSmj7wFeAg/CQ7Y\nlOlosYYBwDz8rV6YwRLhGzzFL8fxhPGF/yFsYQuw1Tev9SdlNydjU+X29hS/CXgWa9v98L9wXGjX\n8PC88wtwO9Mh6b6kmcL+PMnPWivlyuo6cisLX4zbhRib6V35RQvn9MNGV54l3tlF5dqMLz2lmIsl\nMhHdaViA+WkzuFvoyle/10zXha5KXa9J1VES5dBM7z5zLZRrAy5ilfv+mWTfo/ZkNBNWe4rw1feO\nyzs/D7thlUTcfCq5NkWM/BJ4CdiKeU8+41HLOzFfcSu2Bc/XPWoZ06mjFdv64xKPWo7FpmG1EtY2\nSscTxuruR2Aj6T63OytmGfA8ufq60YOGqdhquMvxe/1CeNfw7VgfsxgbnXHpM0yyL4n6821Yf/5Z\nkv2stVKurN6G+dRdb8FWafldirWvpcAHY9ZSqs1M9agnn9Ox8tmMjW79qRcaoi2jlgPfc6gt6X6v\n+Jr5DN1fr0nVkctyqPQzV0u5/xsuYpX7/plE36P2lCPU9gT++t5ZWF23YrNK9k0oLlR3bQohhBBC\nCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQgghhBBCCCGEEEIIIYQQQggh\nhBBCCCGEEEIIIYQQQgghRJD8fzLkuycH3lt7AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7fd82dfc26d0>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Comparing with the results you sent me:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"Image(filename='Corner.png', width=600)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {
"png": {
"width": 600
}
},
"output_type": "pyout",
"png": 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DTJ06Fe+8845Rykn0JBiAEBlmtgGI2syZM9GpUyeMGTMG8fHxVV4usrLy8vIM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\ncFKbXgAAAABJRU5ErkJggg==\n",
"prompt_number": 12,
"text": [
"<IPython.core.display.Image at 0x7fd82fd14d90>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"I also don't see a problem with this borehole. I have to check my maths but intuitively they look like what I'd expect."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Checking the consistency with the Laplace equation:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"gxx, gyy, gzz = data[[3, 6, 8]]\n",
"laplace = (gxx + gyy + gzz)\n",
"print('Calculated Laplace eq (in Eotvos):')\n",
"print(' max/min: {} / {}'.format(laplace.max(), laplace.min()))\n",
"print(' mead/stddev: {} / {}'.format(laplace.mean(), laplace.std()))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Calculated Laplace eq (in Eotvos):\n",
" max/min: 2.84217094304e-14 / -2.84217094304e-14\n",
" mead/stddev: -1.84297022088e-16 / 8.46420840508e-15\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Borehole 3: Center\n",
"\n",
"While we're at it, let's check how the fields behave in the center of the prism:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x = np.zeros(n)\n",
"y = np.zeros(n)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"data = np.array([prism.gx(x, y, z, [model]),\n",
" prism.gy(x, y, z, [model]),\n",
" prism.gz(x, y, z, [model]),\n",
" prism.gxx(x, y, z, [model]),\n",
" prism.gxy(x, y, z, [model]),\n",
" prism.gxz(x, y, z, [model]),\n",
" prism.gyy(x, y, z, [model]),\n",
" prism.gyz(x, y, z, [model]),\n",
" prism.gzz(x, y, z, [model])])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig, subplots = mpl.subplots(1, 9, sharey=True, figsize=(14, 6))\n",
"titles = ['gx', 'gy', 'gz', 'gxx', 'gxy', 'gxz', 'gyy', 'gyz', 'gzz']\n",
"for title, d, ax in zip(titles, data, subplots.ravel()):\n",
" ax.set_title(title)\n",
" ax.plot(d, z/1000, linewidth=2)\n",
" xs = ax.get_xbound()\n",
" ax.fill_between(xs, y1=model.z1/1000, y2=model.z2/1000, color='grey', alpha=0.4)\n",
" ax.set_xlim(*xs)\n",
" ax.grid(True)\n",
" ax.set_xticks(ax.get_xticks()[1:-1:2]) \n",
"ax = subplots[0]\n",
"ax.invert_yaxis()\n",
"ax.set_yticks(np.arange(0, 5.5, 0.5))\n",
"ax.set_ylabel('z (km)')\n",
"mpl.tight_layout()\n",
"mpl.subplots_adjust(wspace=0)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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erBmcpfOHKIpiiFGjJEBv3BhGjgxmgK4oYSXV7u5eE9ru7pqTHhxbmdhbsSLT\nAF3stm4tg8798gv89BNMmCADunz3HXz9NXz5pQTof/2rBGk77ph5gG5bno/bhKl8f/mLrD/4IGpU\nR6YExSdu6xwyRNYXXggFBa4e2hXs80vUtIA4Np0bm7QIUdMC4mRDbnOmdubPl+lcAR57TKZ19cpW\nsmSD35InalpAHJvOjU1awFs9qXZ39/rc6DM8JbB8+y2cfLI7x1q8GF59tfbP3HorzJ4tAbqSXcSC\n9LlzzepQUmfxYmmxikSCl5qiKEo4KCuDiy6C1avh+ONlW1EUu4gF6cuXm9URQ3PSM0Bz0ivjd+5L\n9+4y77Ff7LGHPBho0MA/m16gOUqp8+mncPjhMsDP55/7Y1P95A6DBsGdd8KJJ8J//uP+8cPmJ83N\nDAbqp2Dx5JNw1VWwzTbw66/Sey/IhM1PWp8UgGXLYNttJVj3M1CvKSc9tN3dlfAzbJh3x77//sRI\n8bFl4sTgB+hKesRa0qdONatDSY3iYhg6VLZvuMGsFkVRspNp0+Cmm2R72LDgB+iKElaaN5f1ypXS\n+8U0oQ3SNSc9OLbStXfoobDrrhlbrvbVLVsyPW4Sli3L83GbMJWvbVvJZV66NGpNN6h0CIpP3NI5\nciQsXQp77WX3NEf2+SVqWkAcm86NTVqEqGkBcbIhtzkdOyUlcMEF8sDwvPPg1FO9s5UO2eC35Ima\nFhDHpnNjkxbwVk9engww6ziSmmJSC4Q4SFeyAzfyuv77X5g5ExYuhFWrYNMmGDAg8+Mq4SESSbSm\n//67WS1KcjgOPPKIbN9wQ6I7o6Ioil888IAMQNu2LTz+uGk1iqLUhU156UG5bdGc9ABgU+5Lz57w\nww/JfXb//aFJE5kSJbY+7zzYbz9vNZrCJj8FifPOk5bZESPg4ou9t6d+yoyPPoKjj4YddoBZs6Be\nPW/shM1PmpsZDNRP9vPzz7DPPtIz75NPZFyTsBAmP4HWJyXBPvvA+PHycK1nT39s6jzpSmiZMkX+\n/BYsSO/733yz9WtPPgkzZuic2EoCzUsPFvfdJ+trrvEuQFcURamOkhJ5mLtlC/TrF64AXVHCTKrT\nsHlJaLu7a056cGxlau+ee9IP0GvLQdpnH5nHdOedobBQWtaPOALOOAMuu0wGgrn7bnjiCXj5ZXj/\nfRn5++efJcBfsqT2p7K25fm4TdjKJ0F6NNBBelB8kqnOL7+Uuti8udwg2459fomaFhDHpnNjkxYh\nalpAnGwWhkaWAAAgAElEQVTIbU7FzkMPwY8/QocOMhCtl7YyIRv8ljxR0wLi2HRubNIC3uuJBenL\nlpnXoi3pSmBwHPjf/2Rp2jSxeNXavWJF5k/SLrgAXnzRHT2KWWIt6VOmmNWh1M0998j66qvlGqEo\niuIXv/8O//qXbD/zjKTRKYoSDLbbTtZLl5rVAZqTnhGak14Zr3NffvjBv/wQt7j6ahgyxLSKymiO\nUnps2iQjvDsOrF0LjRp5a0/9lB4//gh77y2+mjMHWrXy1l7Y/KS5mcFA/WQnZWXQqxd89ZUMbPvc\nc6YVeUPQ/VQVrU9KjHvugYED4ZZbEmlzXqM56Urg6d5dWjP96m5cUFB5MLmK202aJJaq7zVuLAFc\nw4Yyr/qMGZCfL8ds1w5yQptkEm7q15ff4OTJsvToYVqRUh333ivrK67wPkBXFEWpyJNPSoDepg0M\nHmxajaIoqRJrSV+yxKwO0Jx0V9CcdH/sNW0qXY0dJ7GUlsLKlRIIf/+9jOg8cqS0Xt91l+SNX345\nnH02HHWU5Ja3aVPJco321q+HxYth+nSYOFHyXEePhjfflKfjjz0mOem33AJXXQUXXihzoB55pMzJ\n3KOHzOPetSvsuKMsvXqlVuYgE8bytW4dBWDSJLM60iUoPklX55Qp8M47MlDcP/7hriYvsc8vUdMC\n4th0bmzSIkRNC4iTDbnNddmZPRtuvVW2hw6FFi28s+UW2eC35ImaFhDHpnNjkxbwXk8qQbrmpCtK\nDSxZIlMs/fijaSXJ066daQVKJnTqBGPHBjdIDzv33CMP7y6+GLbf3rQaRVGyBceRAWXXr5fBZU86\nybQiRVHSwaaWdM1JzwDNSa+M37kvw4dLl9YgsOOO0srXsKFpJZqjlAnvvQcnngh9+sgAhl6ifkqN\nX3+F3XeHvDz44w+pc34QNj9pbmYwUD/ZxXPPwSWXSIrN5MmJG/2wElQ/1YTWJyXGjBnSA7ZjR5g1\nyx+bmpOuhI5zz4VffpGWzfx86eJar15iOz+/8nZensxdWlIic5du2ZLYjq2//tobrXPmyEjxbdt6\nc3zFH3bbTdbakm4fgwbJDdbf/uZfgK4oirJ0Kdx4o2w/9lj4A3RFCTM2taSHNkiPRqMUFRX5Ykty\n0r235WeZ/LSVrr3GjWWQli1bpIvZhg2yrrjU9trq1TB1apTS0iKWLq25Qh54oLSAV7c0aCAPAfLy\nEg8CKm7H1r16bR2g+32O/SaM5Zs1K0rjxkUsXiw3Zttua1pRagTFJ6nqnDBBctEbNoQBA7zT5RX2\n+SWKH/9pyWDTubFJixBF/eSf7Zrs3HijjI1z+OFwzjne2nKbbPBb8kTR+rQ1NmkB7/U0biz39rFY\noaDAnJbQBulKOJk6FXbe2T97vXpBv36JgLti8F3ddiQCmzdLBe/e3T+dij/k5MhggN9+K63pvXub\nVqSATJcCMoCj5qIriuIXY8fCSy/J7B9PPZXoNq0oSjCJRKQ1fe5cabzr1MmgFnOmU0Jz0gOAH7kv\nH30kg8UFgYEDZYR529Acpcy4/HJ4+ml49FG49lrv7KifkuPLL2U2hSZNYOZM2GYbf+2HzU+amxkM\n1E/m2bQJ9tgDfv8d7rwTbrvNtCL/CJKfkkHrk1KRffaB8eOlQWbffb23pznpSig46igZlGXOnEQO\nek5OzbnmtW1PmgSvvOKd1p128u7Yijk0L90eHCfRin799f4H6IqiZC8PPCABevfu0L+/aTWKoriF\nLXnpOk+6C+g86f7a23lnCdZ794aDDoIDDpBu6b17yxzlxx0n05+cfrrkh11wgYy6esUV0h32+uvl\nD1VyxJO3G6N5c9hrLzjtNLj5Zhg2DD75RLrGlJUl5nC/4AL3yhxEwli+aDQa6CA9KD5JVufo0TBu\nnMxHfMMN3mryEvv8EjUtII5N58YmLULUtIA42TDfdkU7f/whUz6CzIlev753trwkG/yWPFHTAuLY\ndG5s0gL+6Ek2SNd50hXFI269VaZX2LxZKmRZmYzAvny5rFesgGXLpEtbRVatkrnZa5uf/fjj4fnn\nZToWJVzEgvRff4XSUsjNNasnWykpSYyofNtt0KyZWT2KomQHjgN//7vcG1xwgaQ8KooSHmxpSdec\n9AzQnPTK2Jr7Mm8e9OwJixb5a/eii2TuVNuw1U9BokMH+V1NmQJ/+Ys3NtRPtTNsmAzq2LmzpMC4\n3ZKVLGHzk+ZmBgP1kznefBPOOEN68Eydmp1TrgXBT6mg9UmpyODB0ghw3XXwyCPe26spJ93r7u7P\nAYuB2jqGDgH+AH4G9vRYj5KFfPihfwF6x46y3n57edKuhJO99pJ1bb0pFO9YswZuv12277/fXICu\nKEp2sX49/OMfsn3vvdkZoCtK2LGlJd3rIP154Kha3j8G6ArsBPwNGOqWYc1JD44tr+317Qt33CFz\nmPbpAy1bVrLsqq2JE+VJ7J9/wt571/5Z2/J83CaM5YuVKebbCRPMaUmHoPikLp333y/z1B9wAJx6\nqj+avMQ+v0RNC4hj07mxSYsQNS0gTjbkNkejUe6/X3pR7bknXHaZt7b8IBv8ljxR0wLi2HRubNIC\n/uhp3VrWCxea1eJ1TvoXQMda3j8BeLF8+zugOdAaaX1XFFeoXz/R6gbQvr3km2fCyJEyknS9epKT\nnJcHf/0rNG2a2XGVYKAt6eaYNw8efli2Bw/WeYkVRfGHhQtlRHeAxx/X8UgUJazssIOs6wrSvcaP\n25uOwPvAbtW89z5wH/B1+f6nwM1A1fYpzUkPAEHJfXnjDTjzTNlu0UKemM2ZA8XFyR/jhx+gRw9v\n9HlNUPxkM4sWSUpD06awcqVMA+g26qfqOf98mTrxzDPhtddMqwmfnzQ3Mxion/znlFPg3/+Gc8/1\ndvrWIGCzn9JB65NSkRUrZODnpk1h9Wrv7ZnKSU+GqqL016R4ynbbwT//KX+4bdrAjBnJBeht28K+\n+8Krr9bdlV0JN23aSJC+Zg3MnGlaTfbw5Zdyc1y/Ptx3n2k1iqJkC//7nwToBQWSbqMoSnhp0ULu\nM9asgXXrzOkwPQXbAqB9hf125a9tRd++felYPipX8+bNKSwspKioCEjkBFTcnzhxItddd12N77ux\nD7I/d+6jRKO163HHnrzm1fFTPX+x7dmzZ8f3U/VT1TKlq7u4GD78MMq6ddCtWxGrVsHXX0dZuxa2\n2072J0+OsnAh/PhjUUw9MBG4jg4doFWrKG3awAEHFNGxo4w10KYNnHZaEZGI++f50UcfTfr8ZLIf\n23bDT6na9ev36td+xbLtvXcRH3wAL70UpXfvYPjJj+ui2+c59v6YMVH+9jeAIm6+GebMiTJnjv/6\nYttu+skmv1S8LtqgJ93rZGxb/eTPvkk/ee2XkhK49toiIMo558gc6W3bunf8ms5LkQ//n8n6Lbat\n9cmffb3umdezww4wa1aU//wHzjuv+s+76SdTdKTm0d2PAT4s394P+LaGzzmpMnbs2JS/kypjxjgO\nOE5hofe2HMefMmViKx0/ZWLPcRznyivFB6ks+fmOc+ONjjNqlOM8/fRYZ926tGVnhJ/+rEgmfkoF\nU+Xzkopluv12+T317++NLS/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ZlStlusMtW+SBV1gDdEVRgsErr8h/94EHaoCuKEpq1NTd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\nORQJQlhHdy/aRno8HqeqqqrB1zz5pDtlx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"text": [
"<matplotlib.figure.Figure at 0x7fd827fe5090>"
]
}
],
"prompt_number": 16
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Again, notice that `gx` and `gy` are 10^-14. Again, they look like what I'd expect."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To be sure, we can check the consistency with the Laplace equation on the outside and the Poisson equation on the inside:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"gxx, gyy, gzz = data[[3, 6, 8]]\n",
"inside = (z >= model.z1) & (z <= model.z2)\n",
"poisson = (gxx + gyy + gzz)[inside]\n",
"poisson_true = utils.si2eotvos(-4*np.pi*G*model.props['density'])\n",
"print('Poisson eq (in Eotvos):')\n",
"print(' max/min: {} / {}'.format(poisson.max(), poisson.min()))\n",
"print(' mead/stddev: {} / {}'.format(poisson.mean(), poisson.std()))\n",
"print(' expected value: {}'.format(poisson_true))\n",
"laplace = (gxx + gyy + gzz)[~inside]\n",
"print('Laplace eq (in Eotvos):')\n",
"print(' max/min: {} / {}'.format(laplace.max(), laplace.min()))\n",
"print(' mead/stddev: {} / {}'.format(laplace.mean(), laplace.std()))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Poisson eq (in Eotvos):\n",
" max/min: -251.566173329 / -251.566173329\n",
" mead/stddev: -251.566173329 / 5.76232197724e-13\n",
" expected value: -251.566173329\n",
"Laplace eq (in Eotvos):\n",
" max/min: 5.68434188608e-14 / -4.97379915032e-14\n",
" mead/stddev: 1.74527059471e-15 / 1.84751524683e-14\n"
]
}
],
"prompt_number": 17
}
],
"metadata": {}
}
]
}
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