Skip to content

Instantly share code, notes, and snippets.

@cossatot
Created July 8, 2015 00:05
Show Gist options
  • Save cossatot/d7f8fa8bbba96c81d9f0 to your computer and use it in GitHub Desktop.
Save cossatot/d7f8fa8bbba96c81d9f0 to your computer and use it in GitHub Desktop.
Wedding Cake
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Wedding cakes,\n",
"### *or*\n",
"## Do our methods reproduce stress absorption by plateaus?"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"%config InlineBackend.figure_format = 'retina'"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import halfspace.load as hs\n",
"import halfspace.sandbox as hbx"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Approach:\n",
"\n",
"1. Make topography:\n",
" - a plateau\n",
" - a hill\n",
" - a plateau with the hill in the middle\n",
"2. Calculate stresses for each\n",
"3. Compare stresses:\n",
" - if the methods are sound, then the stress perturbation produced by the hill\n",
" on the plateau should be smaller magnitude and higher wavelength than the\n",
" hill by itself"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Making topography\n",
"\n",
"First, make a sigmoid function (in this case the standard logistic function) to deal with\n",
"the topographic slopes. This function has a $\\max{( \\partial{y} / \\partial{x})}$ of 0.25 (or thereabouts) so the slopes are at the upper end of what we should be dealing with. Nonetheless, the slopes shouldn't make a big difference, so we'll be cavalier about the plateau edges."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def sigmoid(r):\n",
" return 1 / (1 + np.exp(-(r-10)))\n",
"\n",
"def reverse_sigmoid(r):\n",
" return 1 - sigmoid(r)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"xs = np.linspace(0, 20, num=1000)\n",
"xx, xstep = np.linspace(0, 150, num=1000, retstep=True)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1108d2278>]"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAuYAAAH/CAYAAAAbqBidAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBIH/D/NFb5vjmbNXAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1108d2320>"
]
},
"metadata": {
"image/png": {
"height": 255,
"width": 371
}
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(xs, sigmoid(xs))\n",
"plt.plot(xs, reverse_sigmoid(xs))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def hill(r):\n",
" return np.piecewise(r, [r < 20, r >= 20], \n",
" (lambda r: reverse_sigmoid(r), \n",
" lambda r: 0) )\n",
"\n",
"def plateau(r, rad=80):\n",
" return np.piecewise(r, \n",
" [r < rad, (rad <= r) & (r < rad+20), r >= rad+20],\n",
" (lambda r: 1,\n",
" lambda r: reverse_sigmoid(r - rad),\n",
" lambda r: 0))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x112ca60b8>]"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABtgAAAEgCAYAAAA+I3duAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112694f60>"
]
},
"metadata": {
"image/png": {
"height": 144,
"width": 876
}
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,2))\n",
"\n",
"plt.plot(xx, plateau(xx) + hill(xx))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x113155ef0>]"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAwIAAAH/CAYAAADkL2pWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAGBIBAAAYEgEAABgKKP/zK4NM+zxAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112cb6320>"
]
},
"metadata": {
"image/png": {
"height": 255,
"width": 385
}
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(xx, np.gradient(plateau(xx) + hill(xx))/xstep)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def get_r(x, y):\n",
" return np.sqrt(x**2 + y**2)\n",
"\n",
"def circle_hill(x, y):\n",
" #r = np.sin(x)**2 + np.cos(y)**2\n",
" r = get_r(x, y)\n",
" return hill(r)\n",
"\n",
"def circle_plateau(x, y):\n",
" r = get_r(x, y)\n",
" return plateau(r)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We're going to make the plateau 3000 meters and the hill 1000 meters."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.4\n"
]
}
],
"source": [
"v, vstep = np.linspace(-200, 200, num=1001, retstep=True)\n",
"print(vstep)\n",
"X, Y = np.meshgrid(v, v, indexing='ij')\n",
"\n",
"circ_hill = circle_hill(X, Y) * 1000\n",
"circ_plat = circle_plateau(X, Y) * 3000"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-200.0, 200.0, -200.0, 200.0)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAv0AAAH/CAYAAADE5mKCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x112cd27b8>"
]
},
"metadata": {
"image/png": {
"height": 255,
"width": 382
}
},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.pcolormesh(X, Y, circ_hill)\n",
"plt.axis('equal')"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-200.0, 200.0, -200.0, 200.0)"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAv0AAAH/CAYAAADE5mKCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nLGIAa9wAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ef38f28>"
]
},
"metadata": {
"image/png": {
"height": 255,
"width": 382
}
},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.pcolormesh(X, Y, circ_plat)\n",
"plt.axis('equal')"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"cake = circ_hill + circ_plat"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"(-200.0, 200.0, -200.0, 200.0)"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAv0AAAH/CAYAAADE5mKCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1169b48d0>"
]
},
"metadata": {
"image/png": {
"height": 255,
"width": 382
}
},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.pcolormesh(X, Y, cake)\n",
"plt.axis('equal')"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1169c9320>]"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABu4AAACwCAYAAADg35jmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAAWJQAAFiUBSVIk8AAAIABJREFUeJzs3XmYnFWV+PHvSciCBAKEuAAKiAnIjoCAQhKIgoILigwC\nLoAO4AI6KgjqPDbOmKgDovxECBpwAxxBFsFlwAkJMBgQV4SYYJBNkCUmgYQQspzfH/etSdFT1Uu6\n09Wd/n6e531u9X1P3Tpv4Hm7uk7deyMzkSRJkiRJkiRJktRaQ1qdgCRJkiRJkiRJkiQLd5IkSZIk\nSZIkSVK/YOFOkiRJkiRJkiRJ6gcs3EmSJEmSJEmSJEn9gIU7SZIkSZIkSZIkqR+wcCdJkiRJkiRJ\nkiT1AxbuJEmSJEmSJEmSpH7Awp0kSZIkSZIkSZLUD1i4kyRJkiRJkiRJkvoBC3eSJEmSJEmSJElS\nP2DhTpIkSZIkSZIkSeoHLNxJkiRJkiRJkiRJ/YCFO0mSJEmSJEmSJKkf6PXCXUScExGrI2JCg3Pv\ni4jfRcSSiHg4Is6NiI2ajHN4RPwqIp6OiMcj4tsRMbZJ7P4R8cuIWBgRCyLiRxGxXW9fmyRJkiRJ\nkiRJkrSu9GrhLiJeC3wcyAbnzgK+U/14PvAH4F+AGyNiWLvYY4DrgS2AbwIzgOOB2yNidLvYicBM\nYCfgEuBa4K3AnRGxTe9cmSRJkiRJkiRJkrRuReb/qbGt3UARw4HfUgpoAJMy85bq3DbAX4A7gImZ\nuarqPxv4V+DUzLyg6hsFPAQsAPbMzCVV/wnAdODczDy96hsC3AuMBXbNzEer/oOBm4CrM/OoXrlA\nSZIkSZIkSZIkaR3qzRl3nwVeBfyywbmTgKHAlFrRrjIFeBr4YF3fMcCmwHm1oh1AZl4KzAWOj4io\nuicD44HptaJdFTuDUrg7IiI27+mFSZIkSZIkSZIkSetarxTuImI34ExKIe6eBiETKMtnzqzvzMzl\nwGxg94jYuC4W4OYG48wCxgC7dCF2JqVYeEBXrkGSJEmSJEmSJElqpR4X7iJiKGUJy3nAVCAahG0P\nPJ6ZzzY490DVjq+LTeD+LsYCzO8gdlzjzCVJkiRJkiRJkqT+Y4NeGONTwJ7A6zNzxZpVLF9gDI2L\nawCLq3Z0XezyajZeV2IBFnUhVpIkSZIkSZIkSeq3ejTjLiLGA23ABZl5Rwehw4BGhTjq+keuZWw2\niW8fK0mSJEmSJEmSJPVbaz3jLsrUuunA34GzOglfBgxvcm5E1S6ti31JN2KjydjtY5uKiOwsRpIk\nSZIkSZIkSeuvzGy4rGRf6smMu48Arwc+1GTvuvqLW0jzJStr/YvrYkdGxLAuxtb3dxQrSZIkSZIk\nSZIk9Vs92ePuXVX7syb72t1c9W8HzAMmRMSIBnvXbQesAu6rfp4HvA7Ytq6vPhZgbl1srf8vncR2\nKtOJd5LUHRHhvVOSusH7php56iloa4NLLoFly9b0b7017Lor7LILbLUVjB1bjk02gQ03hJEjSzti\nBAwbBhEwZEjHbe2oyVxztP+5UV9HMatXw/Ll8Nxza46lS8v1PfkkPPEEzJ0Ld98Nc+bA88+vyWO/\n/eCLX4SDD15n/8wawLx3SlL3ee+UpO5pUudqiZ4U7i4FZjTofzOwL/Ad4AFgEXArMAmYANxUC4yI\nkcB+wD2ZWVvS8lbg+Cq+feFuErAoM+fUxdb6b2oQuwq4s6sXJEmSJEl96Qc/gNNOg4XVWiKHHALv\neQ+86U2lSLe+WrEC7rgDrr4aLr0UZs+GyZPh3e+Giy6C0c3Wa5EkSZKk9Vz09jcvIuJrwGnApMy8\nperbAfgTpYh2UGY+X/V/Afgc8NHM/GbVtxml4PcE8NrMXFj1nwh8GzgnM8+o+oYA9wOjgL0y88Gq\nfzKlkHdVZv5TF3JOcMadJHWX3+CTpO7xvqmalSvh9NPha18rP7/hDeXxzju3Nq9WWLoUvv51+Pd/\nLzMOd9gBrruutBJ475SkteG9U5K6pzbjrj/scdcnhbuqfyrwaWAOcAOwM3AYcBswOTNX1MWeDFwI\nPAxcCWwFHEWZgbd/Zi6qiz0MuI4ys+9yShHvuOrnfWvFvE5ytnAnSWvBPwQkqXu8bwrKkpLvf3+Z\nbTdsGPy//wcnnfTCJSwHo/nz4R3vKEtpjh0Lt9wCO+7Y6qzUH3jvlKTu894pSd2z3hXuImIM8Hng\ncOAVlCU4LwROzcxVdXE/oBTV6tUSuCMz96+L/Sfgi8ArgQCWAz8G/iUzn2z3+pOBc4BdgSHACuCX\nlJl8f+1C/hbuJGkt+IeAJHWP901lwkc+AhdeCBttBD/7GUyY0Oqs+o8lS+DII+HGG8sef7fdBtts\n0+qs1GreOyWp+7x3SlL39KfCXU/2uAMgIjamzJrbAfgJcBVwIHAKsDXwtrrwf1AKdV8Cnms31CPt\nfh4KbA/MpxTstgHeDewbEXtn5uK62JXATpTlNa8ANgWOBe6sYjuddSdJkiRJ69pFF5Wi3YgRcP31\nFu3aGzUKrrmm7PF3661lBt7tt8PIka3OTJIkSZL6Ro9n3EXEFOBM4LTM/EZd/2XAMcBbMvNnVd9M\nYOfM7HCb9YgYBTwELAD2zMwlVf8JwHTg3Mw8veobAtwLjAV2zcxHq/6DKfvcXZ2ZR3Xyes64k6S1\n4Df4JKl7vG8ObnfdBa9/PTz/PFx2GRx7bKsz6r8WLYK99oL774eTTy4FTw1e3jslqfu8d0pS9/Sn\nGXdDemGMbShFtm+26//Pqt2vrm9X4O4ujHkMZdbcebWiHUBmXgrMBY6P+N8dICYD44HptaJdFTuD\nUrg7IiI27/rlSJK66vOf/3yrU5CkAcX75uD13HNw3HGlaPfhD1u068ymm8KVV5aZidOmlVl4Gry8\nd0pS93nvlKSBq1f2uGs4cMQZlCUxT83MCyJia0qB7/zM/Hgnz/0+ZS+8nTNzTrtzFwEnAbtn5t0R\n8W/AZ4HDM/Pn7WLPBKYAR2TmTzp4PWfcSZIkSVpn2trg7LPh1a+G3/2uFKTUufPPh499DF76Urjn\nHtjcr2RKkiRJWgfWtxl3LxARL46IDwNnAw8CP6hO7Va1wyPi2oh4IiKejohfRMQ+7YbZnrIX3v0N\nXuKBqh1fFwtlL7xmseO6dxWSJEmS1DvmzoWpU8vjiy6yaNcdH/0oHHAA/P3v8IlPtDobSZIkSVr3\nerVwV81++zvwDWARcGhmLq5O1wp3pwDDKXvV3URZ6vLWiDikbqgxwPLMXN7gZWrjja6LpXq9zmIl\nSZIkqc9kwimnlCUyP/ABmDCh1RkNLEOGwCWXwMiR8N3vwowZrc5IkiRJktat3p5xN5+yPOY1wFhK\nQW7P6lxQZsAdl5mHZeZZmXkkpXA3FLg0IoZXscOARkU76vpH1sVmk/j2sZIkSZLUZ773PZg5E7bY\nAr785VZnMzCNGwef+1x5fMopZb9ASZIkSVpf9WrhLjO/k5mfqQpybwe2AL5XnZuama/MzCvaPecW\n4DLgZcDEqnsZZVZeI7WFZZbWxUaT+PaxkiRJktQnnnoKPvnJ8virX4UxYzqOV3Onn172B7zvvjXL\njkqSJEnS+qjX97irycyfAv8N7BwR23cS/ruq3a5qFwIjI2JYg9jaspeL62Lr+zuK7VBEND3a2tq6\nMoQkSZIkAXDGGbBgARx8MLznPa3OZmAbPhymTSuPv/Ql+POfW5uPJEmSpIGnra2taQ2oP+lR4S4i\nhkbEGyLiDU1CHqraMRGxe0Q029Fhw6qtLXoyjzKLbtsGsbXi3ty62Pr+jmI7lJlNDwt3kiRJkrpq\n1iy49NJScLrwQuhnfwcOSAceWPYJfP75smRmZqszkiRJkjSQtLW1Na0B9Sc9nXEXwPXAZRHRaKzd\ngdWUve1uAGZERKMFYg6o2ruq9taqndQgdhKwKDPndDF2FXBnk/wlSZIkqVctWwYnn1wef/azMH58\na/NZn3zlKzB2bCmMfve7rc5GkiRJknpfjwp3mbkS+DEwFji9/lxEfAjYC/hpZj4BXFW93pR2cUcB\nhwGzMvPeqvta4BngjIjYrC72RGAc8O26IWZRZvadHBHb1MVOBt4IXJOZC3pynZIkSZLUVWefDXPn\nlj3ZPv3pVmezftl8czj33PL4U58q+whKkiRJ0vokejoFMCK2BGYDWwP/BfwJ2BM4GLgfOCAz/x4R\nm1dxrwLuAP4H2IFStHusinugbtyTgQuBh4Erga2Ao4D7gP0zc1Fd7GHAdcAi4HJgFHBc9fO+mflg\nJ9eQQL+bDilJkiRpYLnzTth///L49tth331bm8/6KBPe8AaYMQPe9z5n3kmSJEnqudo+d5nZ8o0O\nely4A4iIHSnFtVcDQ4EVwK+Ad9bPdqtmz/0QOAgYRlnG8h7giMz8a4NxpwKnAhtRlty8rxrz3gax\npwJfADYFEngEeG9mzupC/hbuJEmSJPXIwoXwmtfAAw/AJz8J55zT6ozWX/PmwW67wfLl8L3vwXvf\n2+qMJEmSJA1k61XhLiI2puwhtwPwE2AucCCwH3BDZr6tLvYs4IvAH4CfA7tRZtz9CpiUmSvqYo8B\nLgPmU5bj3IYy4+6vwN6ZubgudiJwI7AAuIJSvDsWWFLFOuNOkiRJ0jqzejUccQRcfz3svTfcdhuM\nGNHqrNZv3/oWnHQSvOhFcMcdsMsurc5IkiRJ0kC1vhXupgBnAqdl5jfq+i8DjgHekpk/q/af+wtl\nmcyJmbmqijsb+Ffg1My8oOobRdm3bgGwZ2YuqfpPAKYD52bm6VXfEOBeyj57u2bmo1X/wcBNwNWZ\neVQn12DhTpIkSdJayYQPfxguugg22wx++1vYdttWZ7X+y4T3vx++/33YaqtSLPXfXZIkSdLa6E+F\nuyG9MMY2lCLbN9v1/2fV7le1J1GW0ZxSK9pVpgBPAx+s6zuGMmvuvFrRDiAzL6XM6Ds+av+KMBkY\nD0yvFe2q2BmUwt0R1f56kiRJktSrVq2Cj3+8FO1GjoSrr7Z41Fciyr/7gQfC3/4GkyfD/PmtzkqS\nJEmSeqbHhbvMPC4zt83M1e1O7Vi1j1ftBMreczPbPX85MBvYvVp2sxYLcHODl5wFjAF26ULsTEqx\n8IBOL0SSJEmSumHBAnjLW+D882GDDeCqq2DSpFZnNbi86EVwww1ledL774d99oFf/KLVWUmSJEnS\n2uuNGXcvEBEvjogPA2cDDwI/qE5tDzyemc82eNoDVTu+LjaB+7sYC2UvvGax47qQuiRJkiR16rnn\n4MILYfz4UiQaMwZuugkOP7zVmQ1Om2wC//3f8Na3wsKF8OY3wzHHOPtOkiRJ0sDUq4W7iPg34O/A\nN4BFwKGZubg6Pabqa6QWM7oudnk1G68rsTQZu32sJEmSJHXbsmVw883wiU/Ay19e9rT7xz/K8ox3\n3eVMu1bbZBO49lqYOhU23BB++EMYN64UUy+9FB56qOyJJ0mSJEn93Qa9PN584EvADsDbgVsj4k2Z\n+TtgGNCoEEdd/8iq7W5sNolvHytJkgaYTHj++XKsWrXmg9fMFz7ubl9XX9s441oV18rXHmxxq1bB\n0qWwZMmaY9GiUux56CF44AGYMwdWrlzznD33hLPOgne9q+y1ptYbMgTOPBPe/W44+2y4/HL42c/K\nATB6NOy6K7z61fCSl8DYsbDFFjBqVNmfcOTIUvQbMQKGDi3jRZSj0eP6Pv8fUFc1+n+l2f8/6yK2\nL19rXcX217y6E1u7f0iSJDXSq4W7zPxO7XFEHA78BPgesCuwDBje5KkjqnZp1S4DXtKN2GgydvtY\nSZLUDzz6KPzpT3DvveXD8Mceg6eeKvtFPf00LF++pli3YkWrs5Wk8iHrrrvCm94E73gH7LefH7r2\nV9tuW2bZffnL8OMfw/XXw513lt8xt91WDklqpaFDyx6dG2205thiizKj++UvL/exPfeEXXaB4c0+\nSZMkSeut3p5x978y86cRMQM4OCK2BxbSfMnKWn9tacuFwI4RMSwz239c1yi21v9kJ7Edig7+8v78\n5z9PW1tbV4aRJEkNzJ8PF18M110Hc+d277nDh8OwYbBB9c6l9iu7fpbD2vR1hXHGrYu4Vr62cY1j\nRo164bHxxuXD0222KccOO5R+DRwvfjF86EPlyIS//x3uvhvuuw+efLIcTz0Fzz5b9i2sHcuWwerV\n5Tm1tv5xoz6pKxr9v9Ls/591EduXr7WuYvtrXt2JzSwzvZ95phwd2XhjeOMb4X3vg7e8pRT8JEnS\n2mtra+Pss89udRqd6lHhLiKGAgcBZOYvG4Q8SJkNtwUwD5gQESMa7F23HbAKuK/6eR7wOmDbur76\nWIC5dbG1/r90Etuh9C8uSZJ63WOPwSc/WfYbqv2q3WQT2H132Hln2GkneMUrYMyYcoweXZYpGzFi\nTcHOWS2SpJ6IgJe9rByHHNLqbCQNditWlCWaa8eSJfDEE/DII/DwwzBvHvzmN+WLBldfXY7tt4fz\nzoO3vrXV2UuSNHC1tbU1naDV0cSuvtbTGXcBXA88HREvy8zV7c7vDqwG7gduBSYBE4Cb/neAiJHA\nfsA9mVlb0vJW4Pgqvn3hbhKwKDPn1MXW+m9qELsKuLOb1yVJknrBNdfACSfA4sWlCHfMMeXn179+\nzew5SZIkaTAZNgw23bQcHXnwQbjqKrjggrJ6xdveVt5PT59e9uSUJEnrpyE9eXJmrgR+DIwFTq8/\nFxEfAvYCfpqZTwKXU4pobRFRv0L3Z4CNgYvr+q4FngHOiIjN6sY8ERgHfLsudhbwEHByRGxTFzsZ\neCNwTWYu6Ml1SpKk7ps2DY48shTtDj+8fHP4O9+BiRMt2kmSJEmd2WabsnLFvHnwta+VvfCuuKLs\nt7poUauzkyRJ60r0dHnIiNgSmA1sDfwX8CdgT+Bgyky7AzLz71XsVODTwBzgBmBn4DDgNmBy/X52\nEXEycCHwMHAlsBVwFGUG3v6Zuagu9jDgOmARpUA4Cjiu+nnfzHywk2tIcKlMSZJ6y49+BEcfXR7/\n27/BZz/rcpeSJElST/zpT3DoofDoo3DQQXDjjX4hTpKk3lJbKjMzW/4JVo8LdwARsQvwI2A8MJQy\ns24ecExm/qEu7gPAtyhLbNZL4I7M3L/duFOBU4GNKEtu3ge8MzPvbZDDqcAXgE2r8R4B3puZs7qQ\nv4U7SZJ6yZw58NrXlr06zjmnfEtYkiRJUs89+CDsuy88/jiceSZMndrqjCRJWj+sV4W7iHgpZQ+5\nrYEbgT8AOwJvARYC+2XmX6rY84GPAl8Cnms31COZeUnduMcAlwHzKctxbkOZcfdXYO/MXFwXO7F6\n7QXAFZTi3bHAkirWGXeSJPWBlSthr73gj38s+29cdpkz7SRJkqTeNGsWTJ4Mq1bBjBll9p0kSeqZ\n9a1wdxFwEvCJzPxaXf9xwPeB6zPz7VXfTGDnzBzbyZijKPvWLQD2zMwlVf8JwHTg3Mw8veobAtxL\n2Wdv18x8tOo/GLgJuDozj+rk9SzcSZLUC771LTjpJNh2W7j7bhg1qtUZSZIkSeufL3wBPv952GMP\nuOsuGDq01RlJkjSwrW+Fu8eBzMyXNjj3F2DrzBxZ/bwA+ENmHtzJmP8MTAM+mpnfbHduDrAF8OLM\nzIh4I2VvvXMy84x2sb8AJgMvycx/dPB6Fu4kSeqhJUvgVa8qy/b88Idr9riTJEmS1LuWLYPx4+GR\nR+A734H3v7/VGUmSNLD1p8LdkJ48uZrt9kWgrUnIcmBYRAyLiK2BzYA/dmHoCVV7c4Nzs4AxwC5d\niJ1J2XPvgC68piRJ6oGvf70U7fbdF/7pn1qdjSRJkrT+2nBDmDKlPP7c52DFitbmI0mSek+PCneZ\nuTozz8/Mi9qfi4gdKXvdzc/MFcBu1anhEXFtRDwREU9HxC8iYp92T98eSOD+Bi/7QNWOr4uFshde\ns9hxXbogSZK0VlauhAsvLI///d/d106SJEla1447Dl796jLr7rrrWp2NJEnqLT0q3DVTzcT7BhDA\nxVV3rXB3CjCcslfdTZSlLG+NiEPqhhgDLM/M5Q2GX1y1o+tiARZ1IVaSJK0D118Pf/sb7LADTJ7c\n6mwkSZKk9d+QIfChD5XHtS/RSZKkga/XC3dRFgKdBhwM/Br4Wu0UZQbccZl5WGaelZlHUgp3Q4FL\nI2J4FTuMssxmI7X+kXWx2SS+fawkSVoHah8UnHKKs+0kSZKkvvK+98GLXgQzZsDcua3ORpIk9YZe\nLdxFxAbAJcAHKEtXvj0zVwJk5tTMfGVmXlH/nMy8BbgMeBkwsepeRpmV18iIql1aFxtN4tvHSpKk\nXjZ/Ptx0U9ln4/3vb3U2kiRJ0uAxejQce2x5PG1aa3ORJEm9o9cKdxHxIuA64P3APOCgzPx7F5/+\nu6rdrmoXAiMjYliD2Nqyl4vrYuv7O4rtUEQ0Pdra2royhCRJg85VV5X2ne+EzTZrbS6SJEnSYPOB\nD5T2qqsgs7W5SJLUn7W1tTWtAfUnvVK4i4jNgBnAm4HfAgdk5iPtYnaPiAObDLFh1T5XtfMos+i2\nbRBbK+7NrYut7+8otkOZ2fSwcCdJUmPXXlvad76ztXlIkiRJg9FrXwtbbgkPPwy//W2rs5Ekqf9q\na2trWgPqT3pcuIuIkcANwGuBmcCkzHyqQegNwM0RMabBuQOq9q6qvbVqJzWInQQsysw5XYxdBdzZ\nLH9JkrT2Hn0UZs+GkSPh0ENbnY0kSZI0+AwZAkccUR5fc01rc5EkST3XGzPupgD7A7cDb87MJU3i\nrqpeb0p9Z0QcBRwGzMrMe6vua4FngDOq2Xy12BOBccC364aYBTwEnBwR29TFTgbeCFyTmQvW/vIk\nSVIz111X2kMOgY02am0ukiRJ0mBVK9zVVsOQJEkDV/RkCmBEvBR4EBgGXAI80iR0KrARMBt4FXAH\n8D/ADpSi3WOU5TUfqBv7ZOBC4GHgSmAr4CjgPmD/zFxUF3sYZX+9RcDlwCjguOrnfTPzwU6uI4F+\nNx1SkqT+7tBD4cYb4dJL4fjjW52NJEmSNDitWAFjx8LixTBvHowb1+qMJEkaWGr73GVmyze862nh\n7gjgaiBpPHsvq2OzzHy6mj33Q+AgSrFvFXAPcERm/rXB+FOBUylFv9WUot0762bm1ceeCnwB2LR6\nzUeA92bmrC5ch4U7SZK66dlnYbPNyocETzwBW2zR6owkSZKkweu44+Dyy+HrX4fTTmt1NpIkDSz9\nqXDXo6UyM/NaYEvgb5Ri2X8BXwF+Qim0/QPYITOfrp5yCmX5ynsos/B+AewK/CAihtWPHRHHAJ+m\nzMb7MvAjymy96yJidLvYicA5wDLgq8ClwFjgqvrlMyVJUu+5/XZ4/nnYYw+LdpIkSVKrTZ5c2ptv\nbm0ekiSpZzbohTHagK2BT2Tm12qdEXEc8H3gXODtVQHtC5S98CZm5qoq7mzgX4GTgAuqvlHV4/nA\nnrV98yLiRmA68Dng9KpvCDANWALsnZmPVv2XATdRCnpH9cJ1SpKkOrUPBA4+uLV5SJIkSVrzvnzW\nLFi9Gob06Ov6kiSpVXrjV/g7gCfqi3YAmXkZcD9wSJQ5hicBQ4EptaJdZQrwNPDBur5jKEtenlcr\n2lVjXgrMBY6P2rxFmAyMB6bXinZV7AxK4e6IiNi8F65TkiTVqRXuDjqotXlIkiRJgm23LcfChfCH\nP7Q6G0mStLZ6VLirZrt9kTLrrpHlwHDKfnYTKMtpzqwPyMzlwGxg94jYuOqeULWNJvfPAsYAu3Qh\ndialWHhAhxciSZK6ZckS+PWvYehQOPDAVmcjSZIkCdZ8qW7GjNbmIUmS1l5P97hbnZnnZ+ZF7c9F\nxI7AjsD8zHwe2B54PDOfbTDUA1U7vmq3pxT57u9iLJRlNZvFjmt+FZIkqbtuuw1WroS99oJNNml1\nNpIkSZJgTeHOfe4kSRq41slq19VMvG8AAVxcdY8BFjV5yuKqHV0Xu7yajdeVWJqM3T5WkiT1gpkz\nS+symZIkSVL/UXt/fsstsGpVx7GSJKl/6vXCXbX33DTgYODXQG3vu2GUpTMbqfWPXMvYbBLfPlaS\nJPWC228vrctkSpIkSf3H1lvDdtvBM8/APfe0OhtJkrQ2erVwFxEbAJcAH6AsXfn2zFxZnV5G2e+u\nkRFVu3QtY6NJfPtYSZLUQytWwF13lcf77dfaXCRJkiS9UO09+uzZrc1DkiStnV4r3EXEi4DrgPcD\n84CDMvPvdSELab5kZa1/cV3syIgY1sXY+v6OYjsUEU2Ptra2rgwhSdJ67+67YdkyGDcOxozpPF6S\nJElS37FwJ0lSY21tbU1rQP1JrxTuImIzYAbwZuC3wAGZ+Ui7sHnASyJiRPvnA9sBq4D76mID2LZJ\nLMDcutj6/o5iO5SZTQ8Ld5IkFbUPAJxtJ0mSJPU/Fu4kSWqsra2taQ2oP+lx4S4iRgI3AK8FZgKT\nMvOpBqG3AkOBCQ2evx9wT2YurYsFmNRgnEnAosyc08XYVcCdnV6IJEnqEgt3kiRJUv+1xx4wYgTM\nmQOLFrU6G0mS1F29MeNuCrA/cDvw5sxc0iTuckoRrS0i6vej+wywMXBxXd+1wDPAGdVsPgAi4kRg\nHPDtuthZwEPAyRGxTV3sZOCNwDWZuWAtr02SJLVj4U6SJEnqv4YPh9e8pjy+06+yS5I04GzQkydH\nxEuBj1Q//hk4q8laoFMzc25EnAN8GvhdRNwA7AwcBtwGfKsWnJkLI+IM4ELg9xFxJbAVcBRl2csp\ndbGrI+LDlP317oqIy4FRwHHAE8DpPblGSZK0xlNPwX33wYYbwq67tjobSZIkSY3stx/86lflOOSQ\nVmcjSZK6o0eFO8oSl8OABE6s+qL6uSaBr0bEeyhFO4CdqqNmRGauaDf2I8BfgO2BTwJLgR8Cn8zM\n9hP9FwJ/BHYDTgOeA34JfCwzH1zrq5MkSS9Q+8bu3nvDsGGtzUWSJElSY7XVMe64o7V5SJKk7utR\n4S4zr6VabjMiRlGKZa8FPp6Z59fHRsTu1cMvUQpr9R5pF3sMcBkwH/gPYBvKbLt92z83IiYCNwIL\ngPOBTYFudW1TAAAb9klEQVRjq9iVPbk+SZL0QnfdVdp99mltHpIkSZKaq71fv+suyITGC2RJkqT+\nqKcz7gCo9pa7Gtizg7DdgAWZ+ZlOxhoFXEAp2u1Z2zMvIm4EpgOfo1r+MiKGANOAJcDemflo1X8Z\ncBNwDqXgJ0mSesFvflPavfdubR6SJEmSmtt2W9h8c3jySXjkEXj5y1udkSRJ6qohPR0gIj4O3A3s\nCszoIHTXKq4zx1BmzZ1XK9oBZOallP3tjo81G+lNBsYD02tFuyp2BqVwd0REbN6Ny5EkSR2ozbiz\ncCdJkiT1XxFr3rPX3sNLkqSBoceFO+BjwF+BCcD3GwVExNbAZpR96DozoWpvbnBuFjAG2KULsTOB\nocABXXhNSZLUiUcfLcfo0bD99q3ORpIkSVJHLNxJkjQw9Ubh7iRgj8ycDTRbMXu3qh0eEddGxBMR\n8XRE/CIi2u+Ssz2QwP0NxnmgasfXxUJZVrNZ7LhO8pckSV1QWyZzr71gSG+8g5AkSZK0zli4kyRp\nYOrxx26ZeVNmZidhtcLdKcBwyl51N1GWurw1Ig6pix0DLM/M5Q3GWVy1o+tiARZ1IVaSJPWAy2RK\nkiRJA0d94a7TT+4kSVK/0Vfflw/KDLjjMvOwzDwrM4+kFO6GApdGxPAqdhjQqGhHXf/IuthsEt8+\nVpIk9UCtcLfXXq3NQ5IkSVLntt4axo6Ff/wDHnig1dlIkqSu6pPCXWZOzcxXZuYV7fpvAS4DXgZM\nrLqXUWblNTKiapfWxUaT+PaxkiRpLWU6406SJEkaSCJcLlOSpIGoP+xQ87uq3a5qFwIjI2JYg9ja\nspeL62Lr+zuK7VREND3a2tq6OowkSeudRx6BJ56AzTaD7bbrPF6SJElS61m4kyRpjba2tqY1oP6k\nTwp3EbF7RBzY5PSGVftc1c6jzKLbtkFs7aPCuXWx9f0dxXYqM5seFu4kSYPZb35T2r33Lt/clSRJ\nktT/1Qp3tffzkiQNZm1tbU1rQP1JX824uwG4OSLGNDh3QNXWvvtza9VOahA7CViUmXO6GLsKuLN7\nqUqSpPZcJlOSJEkaeOpn3PWzzyQlSVITfVW4u6p6rSn1nRFxFHAYMCsz7626rwWeAc6IiM3qYk8E\nxgHfrhtiFvAQcHJEbFMXOxl4I3BNZi7o/cuRJGlwsXAnSZIkDTxbbgkvexksXgzz57c6G0mS1BV9\nVbj7N+AvwD9HxK8i4pyIuB74IfAocEItMDMXAmcA2wO/r2KvAC6mLHs5pS52NfBhyn52d0XE1yNi\nOvBT4Ang9D65OkmS1mOZFu4kSZKkgcp97iRJGlh6u3A3mrI/3cT6zsz8B7AvcBOwF/BJ4M3An4AD\nM/OBdvHTgC8DY6rYf6IU/o7MzEXtYn8GfALYADiNUgR8Ajg6Mx/s3cuTJGnwefBBWLAAxo6Fl7+8\n1dlIkiRJ6g4Ld5IkDSy9VriLiFHAMUBSlrBs7xTK8pX3AFOBXwC7Aj+IiGHtxjoG+DTwGKWA9yPg\nVcB1ETG6XexE4BxgGfBV4FJgLHBV/fKZkiRp7dT+wN9rL4hobS6SJEmSumevvUpr4U6SpIFhg94Y\npCqQXQ3s2cH5LwC3AxMzc1XVfzbwr8BJwAVV36jq8Xxgz8xcUvXfCEwHPke1BGZEDAGmAUuAvTPz\n0ar/MsrsvnOAo3rjGiVJGqxcJlOSJEkauGqFu9/8BlavhiF9tXGOJElaKz3+VR0RHwfupsyem9Ek\n7CRgKDClVrSrTAGeBj5Y13cMsClwXq1oB5CZl1L2uDs+4n+/7z8ZGA9MrxXtqtgZlMLdERGxeQ8u\nT5KkQe+OO0q7zz6tzUOSJElS9730pWXJ+yVLYM6cVmcjSZI60xvfsfkY8FdgAvD9JjETKEtozqzv\nzMzlwGxg94jYuC4W4OYG48yi7Hu3SxdiZ1KKhQd0dgGSJKmxlSvh178uj/fbr7W5SJIkSVo7++9f\n2tmzW5uHJEnqXG8U7k4C9sjM2UCznW+2Bx7PzGcbnHugasfXxSZwfxdjoSyr2Sx2XJOcJElSJ+65\nB5YuhVe+El784lZnI0mSJGlt1L6EZ+FOkqT+r8eFu8y8KTOzk7AxwKIm5xZX7ei62OXVbLyuxNJk\n7PaxkiSpm2p/2DvbTpIkSRq4LNxJkjRw9NV2tMOARoU46vpHrmVsNolvHytJkrrJwp0kSZI08O25\nJwwbVlbUePrpVmcjSZI60leFu2XA8CbnRlTt0rWMjSbx7WMlSVI3WbiTJEmSBr6RI0vxLnPNHtaS\nJKl/6qvC3UKaL1lZ619cFzsyIoZ1Mba+v6PYTkVE06Otra2rw0iStF5YuBD+/GcYMQJ2373V2UiS\nJEnqCZfLlCQNdm1tbU1rQP1JXxXu5gEviYgRDc5tB6wC7quLDWDbJrEAc+ti6/s7iu1UZjY9LNxJ\nkgab2h/0r3kNDG82F16SJEnSgFAr3N1+e2vzkCSpVdra2prWgPqTvirc3QoMBSbUd0bESGA/4J7M\nXFoXCzCpwTiTgEWZOaeLsauAO9cyZ0mSBrWZM0s7YUKHYZIkSZIGgAMPLO2tt8LKla3NRZIkNddX\nhbvLKUW0toio/87+Z4CNgYvr+q4FngHOiIjNap0RcSIwDvh2Xews4CHg5IjYpi52MvBG4JrMXNDL\n1yJJ0qBw882lPeig1uYhSZIkqee23hpe9Sp45hn47W9bnY0kSWqmTwp3mTkXOAfYH/hdRHw5Im4A\nPgfcBnyrLnYhcAawPfD7iDgnIq6gFPfmAlPqYlcDH6bsZ3dXRHw9IqYDPwWeAE7vi+uTJGl9s3gx\n/OY3sMEGcMABrc5GkiRJUm84+ODSzpjR2jwkSVJzvV24y+r4vycyzwI+CoylFOYOp+xldwCwPCJW\nVwU6MnMa8G5gNfAJ4GjgOWAmsKLduD8D3gQ8Xo1/QnVqFvBs712aJEmDxy23wOrVsO++sNFGrc5G\nkiRJUm+oraZRW11DkiT1Pxv05mCZ+V3gux2c/2ZEvImyjOXUBiF/qnu8PbAN8Afg58BuwMnAbhEx\nKTPrC3gvBnYC5gM/rp53FPCaiNg7Mxev/VVJkjT4uEymJEmStP6ZNKm0t90Gzz8Pw4d3GC5Jklog\nMhtOkFt3LxjxAPBUZu7dQcw2wF+AO4CJmbmq6j8b+Ffg1My8oOobRdnnbgGwZ2YuqfpPAKYD52Zm\nh0tmRkQC9PW/hSRJ/dWee8Lvfw///d9rltORJEmSNPDttBPMmQO33uqy+JIk1UQEAJkZLU6lb/a4\nq4mITYBXAH/sJPQkYCgwpVa0q0wBngY+WNd3DLApcF6taAeQmZdS9sQ7PiL69DolSRrI/va3UrQb\nORL237/V2UiSJEnqTZMnl/bnP29tHpIkqbG+LmjtVrWdFe4mUPbKm1nfmZnLgdnA7hGxcV0sQKPV\nuWcBY4Bd1iZZSZIGo+uuK+2hh8KGG7Y2F0mSJEm96+1vL+0117Q2D0mS1FirCncvjoibImJhRPwj\nIq6MiPF1cdsDj2fmsw3GeKBqx9fFJnB/B7Hjepa2JEmDx7XXlvYd72htHpIkSZJ638SJsOmmZbnM\nuXNbnY0kSWqvVYW7TwGLgGmUfeyOBO6IiN2r82Oq840srtrRdbHLq9l4ncVKkqQOLFwIN98MQ4fC\nW97S6mwkSZIk9bZhw9a81699aU+SJPUffV24W0mZBfeGzDwqM8/MzDcD76EU1y6p4oYBjQpx1PWP\nXItYSZLUgZ/9DFauhAkTYMyYVmcjSZIkaV2ora5h4U6SpP6nTwt3mfnRzHxlZt7Srv9y4FZgj2rJ\nzGXA8CbDjKjapVXbnVhJktSBK64orctkSpIkSeuvQw+FkSNh9my4v9HmM5IkqWX6esZdR34LBLAd\nsJDmy1vW+mvLYC4ERkbEsC7Edigimh5tbW1dughJkgaqBx4oM+6GD4d3v7vV2UiSJElaVzbaCI46\nqjyeNq21uUiS1Ffa2tqa1oD6kz4r3EXE0Ih4TUTs0yRkw6p9DpgHvDQiRjSI2w5YBdxX/TyPUvDb\ntkksQJe22s3MpoeFO0nS+u7iiyET3vUuGDu21dlIkiRJWpc+9KHSXnIJLG+2CY0kSeuRtra2pjWg\n/qQvZ9wNA+4AfhERL3jdKOXM1wErgN9Rls0cAkxoFzcS2A+4JzNry1/eWrWTGrzmJGBRZs7pnUuQ\nJGn99PzzMH16eVz7A16SJEnS+mu//WD33eGpp+Cqq1qdjSRJqumzwl1mPgfcAGwGnNnu9CeBXYDL\nM/Np4HLKrLq2iKjfv+4zwMbAxXV91wLPAGdExGa1zog4ERgHfLuXL0WSpPXO974HTzwBu+wCr399\nq7ORJEmStK5FrPnS3jnnwOrVrc1HkiQV0ZdTACPilcCvgLHAL4E/AnsBE4F7gAmZubCKnQp8GphD\nKfjtDBwG3AZMzswVdeOeDFwIPAxcCWwFHEVZTnP/zFzUSV4J9LvpkJIk9YUlS2D8eHjsMbjsMjj2\n2FZnJEmSJKkvPPts+Vvgb38rX+Z773tbnZEkSa1R2+cuM1u+4V1fLpVJZt4P7A18lzLD7lTgFcA5\nwOtqRbsq9izgo0ACpwE7AV8FDq8v2lWx04BjKXvdfQI4GniWMhtvybq9KkmSBrZzzy1Fu332gXe/\nu9XZSJIkSeorL3oRfPGL5fFnPwvLlrU2H0mS1MeFO4DMfDgzT8jMLTNzRGZun5lnZOYzDWK/mZm7\nZOaGmfnKzPxUo7jKQcDWlD3vvgT8njJj74p1djGSNMi1tbW1OgX10B/+AF/6Unl8zjkwpM/fGUiD\ni/dNSeo+753SuvWe98Aee8DDD8OZ7Te30YDlvVOSBq4+XSpzXYmI11GW0LwyM4+u6/8O8D7grZn5\n0w6e71KZkrQWIsJ75wC2aBHsvTfMnw8nngjTp7c6I2n9531TkrrPe6e07t1xBxx4IKxYAT/8IRx9\ndOfPUf/mvVOSumfQLpW5Dn2kas9u138WZanND/ZtOpIk9W+LFsHb3laKdnvsAd/4RqszkiRJktQq\n++4L551XHp94IvziF63NR5KkwWx9KdxNAJ7MzHvrOzPzMeC+6rwkSQL+/GeYOBFuvRW23BJ+/GPY\ncMNWZyVJkiSplT78Yfjnf4Znn4W3vhUuvBBWr251VpIkDT4DvnAXESOArYD5TUIeADaLiDF9lpQk\nSf3QY4/BWWfB7rvDH/8IO+wAt98Or3xlqzOTJEmS1GoRMG0anHEGrFxZCnkTJ8KMGeCKi5Ik9Z0N\nWp1AL9i8ahc1Ob+4akcDC9Z9OpIk9Q9Ll8I995T9Kn7+c/jlL8ueFQAf/CB85Suw2WatzVGSJElS\n/xEBX/4yvOY1cNppcNttMHly+dLf294Gr3897LRT+fLf0KGtzlaSpPXT+lC4G1a1y5ucr/WP7Gyg\nadN6lkhvffvIcRzHcRxnII0zdWrvjNOI43Rs9WpYtqwU6GrHM8/Ao4/Cww/DwoUvjB8yBI48Ej75\nSdh//97JQZIkSdL65+ij4ZBD4Pzz4aKLYO5c+I//KAfAiBGw3XawxRYwZgxsvnlZfn/48DXHiBGl\n3WCDUhCMKM+tb9e2T11z8cWtzkCStDYiB/hc94gYCzwO/DwzD29w/j+Bo4DtMvPBJmMM7H8ESZIk\nSZIkSZIk9UhmtvxrIgN+jzvKUphJWQqzkdHV+cVNzkuSJEmSJEmSJEktN+CXyszM5yPiQWC7JiHb\nAU9mZrM98PpFBVWSJEmSJEmSJEmD2/ow4w7gVuBlETGuvjMitgTGAbNbkpUkSZIkSZIkSZLURetL\n4e57VTslomxTW7VTq363YpUkSZIkSZIkSVK/FpnZ6hx6RURcARwN3AnMBF4HHABcmZlHtzA1SZIk\nSZIkSZIkqVPrU+FuA+BM4HhgK+BB4PvAVzJzRQtTkyRJkiRJkiRJkjq13hTuJEmSJEmSJEmSpIFs\nfdnjTpIkSZIkSZIkSRrQBnXhLiI2iIh/iYh7I+LZiJgfEZ+rlt2UpEEjIl4aERdFxMMRsTwiHouI\n70fEdg1i3xcRv4uIJVX8uRGxUZNxD4+IX0XE0xHxeER8OyLGrvsrkqS+FRHnRMTqiJjQ4Jz3TUmq\nRMRxEXFnRCyNiEcj4qqI2KFBnPdOSQIiYouImBYRf6v+Xv9rRHw5IjZsEOu9U9KgFBFbRsTiiPhY\nk/Pr5P4YEftHxC8jYmFELIiIHzX6PLW7BnXhDrgAOBd4Evga8DfgC8AVrUxKkvpSRLwUuBM4CbiH\ncj+8EzgW+HVEvKou9izgO9WP5wN/AP4FuDEihrUb9xjgemAL4JvADMo+pLdHxOh1d0WS1Lci4rXA\nx4H/swa9901JWiMi/p2yF/0mlL/HZwJvB35V/wGH905JKiJiE+B/gH8G5lD+Xn8UOB24KSKG1sV6\n75Q0KEXEKOBqYGP68O/yiJhIeT+7E3AJcC3wVuDOiNimR9c0WPe4i4jXAbcBV2bm0XX93wHeB7w1\nM3/aovQkqc9ExEWUot0nMvNrdf3HUT5YuT4z3179wvkLcAcwMTNXVXFnA/8KnJqZF1R9o4CHgAXA\nnpm5pOo/AZgOnJuZp/fVNUrSuhIRw4HfUt6oA0zKzFuqc943JalSfclhNuXDjTdn5vKq/0jgSuC7\nmXmC905JWiMizgC+BHwtMz9R1/994Djg+Mz8nvdOSYNVdf+7Gtiz6vp4Zp7f7nyv3x8jYghwLzAW\n2DUzH636DwZuAq7OzKPW9roG84y7j1Tt2e36z6JUZT/Yt+lIUsu8A3iivmgHkJmXAfcDh0REUIp7\nQ4EptV9ylSnA07zwvnkMsClwXu2XXDXmpcBc4PjqF5wkDXSfBV4F/LLBOe+bkrTGR4DVwEm1oh1A\nZv4YuBiYV3V575SkNV5TtZe06/921e5btd47JQ06EfFx4G5gV8rMuEZ6+/4YVfdkYDwwvVa0q2Jn\nUAp3R0TE5mt7bYP5JjwBeDIz763vzMzHgPuq85K0XqvejH8RaGsSshwYDgyj3BeT8i3p/1V98DIb\n2D0iNq66a/fQmxuMOQsYA+zSg9QlqeUiYjfgTMob/nsahHjflKQ13gzcnZl/aX8iM0/JzKnVj947\nJWmNx6t223b9W1ftk1XrvVPSYPQx4K+U+9r3m8Ssq/tjR7EzKcXCAzq7gGYGZeEuIkYAWwHzm4Q8\nAGwWEWP6LClJaoHMXJ2Z52fmRe3PRcSOwI7A/Mx8HtgeeDwzn20w1ANVO75qt6f8Ury/g9hxPUhd\nklqq2k9kOmWGyFQgGoR535QkICJeTNkn5J6I2DEiro6IRdXxo4jYti7ce6ckrTENWAqcFxGvi4gX\nRcQk4MvAItbMxPPeKWkwOgnYIzNn0/hvcuj9+2N9LDSuMdVi1/peOigLd0BtiuKiJucXV62bsUoa\nlKqZeN+g/NK7uOoeQ9fvm2OA5fXLIHUQK0kD0acoa+h/MDNXNInxvilJxZZVuzVlf5FXUJZ5+x/g\nXcDsiHhFFeO9U5Iq1UphBwAjgduAJZTl4FYCr8/Mh6pQ752SBp3MvCkzs5OwdXV/rE36ajR2j++l\ng7VwN6xqG/0HqO8f2Qe5SFK/Uq3VPA04GPg1UNv7bhhdv292J1aSBpSIGE9ZYviCzLyjg1Dvm5JU\nbFS1E4CrgX0y81OZeThwGvBifM8pSf9H9aWGH1C+APET4BzKEmyvAC6OiNqHwt47JamxdXV/HEaZ\nndcovsf30sFauFtWtcObnB9RtUv7IBdJ+v/t3V3IpGUZB/D/lUoWRghBlmCKLFGCQQeW6cGaRLgH\ntUS1Bx0oGYhGkAVbGaR14EIniRBB9Gm0HRhbkkUelWtEdNBBUKJRuNrHSsq6WdmH7tXB/UzODu+s\n7q7v7rjz+8HwMM99zfAMA9f7zn0993WvjKo6PaPVxrUZS73f3d1PT8NP5fnnzaOJBXjRmG5u+GqS\n/Uk+9Rzh8ibAcGg6Pp3kxoU7o7+YsTfJtqp6WeROgHm7k1yUZEd3b+/und399iQfS3JZnu2QI3cC\nbGyz8uNTGZ3KNoo/7ly6roW7gxnV0GVLFV85jR9cMg5wyqmqlye5K8nVGXs2XdHd++dCDuTIeTN5\nNm8eSHJmVZ3xPGIBXkw+nDFJcv2SHvnzffXlTYBhlr8e6u7D2glNRbxfZ9y1fF7kToAk/19t97Yk\n93b3d+fHuvu2JPcneU9VnRW5E2CZzcqPBxbOHyn2qK1l4a67/5NkX5ILloRckOSviz8oAE5VVXV2\nRp/8q5L8Ksnl3f3HhbAHk7y6ql66+PqMvPlMkt/NxVaS85fEJskDx3nZACfDe6fjj6rq0OyR0eot\nSX4ynXtdRi48R94EyB8yVt0tu4N5Njnyz8idADPnTsf7l4z/NmNu99zInQDLbNZ85oML548Ue9TW\nsnA3uS/Ja6pqy/zJqnptki1JfnFSrgrgBKuqM5PcneSSjF75W7v7sQ1C70tyWsbeJIuvf2uS33T3\nP+Zik2TrBu+zNckT3b3sxwfAKvt6xv52i4/ZXnffmJ4/kZELXxJ5E1hz3f2vjL2Tz6uqC+fHplbt\nb0ryeJI/JflZ5E6AJPnLdHz9kvEtGR3DHo3/OwGW2az5zOeKfSbJL4/xmte6cHfHdLx12qtktmfJ\nrun8lzd8FcCp59Yklyb5eZKruvvvS+J2Z/zRuaWq5u+WvinJK3J43vx+kieT7JxW8yVJquqDGT8u\nvvLCXT7AidPd3+zuzy0+Mle4m84djLwJMG+W826finUzH89YLXJHdx9K8u3InQDp7ocyJn23VtW7\n5seq6tokFye5Z+oY5v9OgI1tVn68N8nDSa6bOu7MYq9M8o4k3+vux4/1ouvwPaHXS1V9J8mOjD+C\nP83oG315kju7e8dJvDSAE6KqzsloHXxGkq8lWWyPObOru/9dVbuSfCKjVcfdGZtkb8u4M/rK7v7v\n3Htfl+RLSR5JcmfGhMz7MpafX6odMXAqqarbMtplbu3uvXPn5U2ASVXtSbI9o73bj5O8IaNV+wNJ\nLunuJ6c4uRMgSVVdlGRvxn5JP8hozXZxkncm+XOSy7p73xQrdwJrq6quyZjb/Gh3374wtin5saq2\nJbkro+PO7iRnJfnA9Pwts/x8TJ9nzQt3pyf5ZJJrMr6AfUm+leTz818WwKmqqrYn2ZPRXqOWhHWS\ns7v7b9NrbkhyQ5ILM1p37Eny2dlEy8L7vz/JziRvzGh/dE+ST3f3oy/wRwE4qarqCxmFuyvmC3fT\nmLwJkKSqTkvykSQfysiJj2Xc2fyZ7j6wECt3AiSpqvOT3JxRrHtVkv1JfpjklsU8J3cC66qqrs4o\n3N24WLibxjclP04r7G5O8uaM1Xp7k9zU3b8/rs+zzoU7AAAAAAAAWBXrvMcdAAAAAAAArAyFOwAA\nAAAAAFgBCncAAAAAAACwAhTuAAAAAAAAYAUo3AEAAAAAAMAKULgDAAAAAACAFaBwBwAAAAAAACtA\n4Q4AAAAAAABWgMIdAAAAAAAArACFOwAAAAAAAFgBCncAAAAAAACwAhTuAAAAAAAAYAUo3AEAAAAA\nAMAKULgDAAAAAACAFaBwBwAAAAAAACtA4Q4AAAAAAABWgMIdAAAAAAAArID/AXZsXvDkDHYXAAAA\nAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ef38f28>"
]
},
"metadata": {
"image/png": {
"height": 88,
"width": 887
}
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,1))\n",
"plt.plot(cake[:,500])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## convolution stuff"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"rho = 2700\n",
"g = 9.81\n",
"Fv = -rho * g\n",
"study_res = vstep * 1000\n",
"b_conv_mode = 'valid'\n",
"c_conv_mode = 'same'\n",
"\n",
"kernel_rad = 2e4\n",
"kernel_len = int(kernel_rad * 2 / study_res +1)\n",
"kernel_shape = np.array([kernel_len, kernel_len])"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"z_res = study_res\n",
"z_min = study_res\n",
"z_max = 10000 + z_min\n",
"z_len = int( (z_max - z_min) / z_res + 1)\n",
"z_vec = np.linspace(z_min, z_max, num=z_len)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x106604898>]"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAvcAAAH/CAYAAADTxPJLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1169e7a58>"
]
},
"metadata": {
"image/png": {
"height": 255,
"width": 379
}
},
"output_type": "display_data"
}
],
"source": [
"plt.plot(v, np.gradient(-cake[:,500], study_res))"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"def do_convo(dem, pad_dem=True):\n",
" \n",
" \n",
" if pad_dem:\n",
" topo_prepad_shape = dem.shape\n",
" topo = np.pad(dem, kernel_len//2, \n",
" mode='constant', constant_values=[0.])\n",
" \n",
" b_out_x, b_out_y = hbx.size_output(kernel_shape, topo.shape,\n",
" mode=b_conv_mode)\n",
"\n",
" b_out_size = np.array( (b_out_x, b_out_y, z_len))\n",
" b_stress_empty = np.empty( (b_out_size))\n",
"\n",
" b_stress = {}\n",
" comp_list = ['xy', 'xz', 'yz', 'xx', 'yy', 'zz']\n",
" \n",
" for comp in comp_list:\n",
" print('working on Bouss {} stresses'.format(comp) )\n",
" b_stress[comp] = b_stress_empty.copy()\n",
"\n",
" for i, z in enumerate(z_vec):\n",
" b_stress[comp][:,:,i] = hs.do_b_convo(component=comp, \n",
" z=z, Fv=Fv,\n",
" load=topo,\n",
" load_mode='topo',\n",
" conv_mode=b_conv_mode, \n",
" kernel_radius=kernel_rad,\n",
" kernel_res=study_res)\n",
"\n",
" b_stress[comp] *= 1e-6 # scale results to MPa\n",
" \n",
" b_xx_top = b_stress['xx'][:,:,0] * 1e6\n",
" b_xy_top = b_stress['xy'][:,:,0] * 1e6\n",
" b_yy_top = b_stress['yy'][:,:,0] * 1e6\n",
" b_shape = b_xx_top.shape\n",
"\n",
" topo = hs._centered(topo, b_shape)\n",
"\n",
" topo_dy, topo_dx = np.gradient(topo, study_res)\n",
" \n",
" # make horizontal loading functions\n",
" Fht_x = topo * Fv * topo_dx\n",
" Fhb_x = b_xx_top * topo_dx + b_xy_top * topo_dy \n",
"\n",
" Fht_y = topo * Fv * topo_dy\n",
" Fhb_y = b_yy_top * topo_dy + b_xy_top * topo_dx\n",
"\n",
" Fh_x = Fht_x + Fhb_x\n",
" Fh_y = Fht_y + Fhb_y\n",
" \n",
" # make Cerruti output arrays\n",
" c_x = np.zeros([topo.shape[0], topo.shape[1], z_len])\n",
" c_y = c_x.copy()\n",
"\n",
" cerr_x = {}\n",
" cerr_y = {}\n",
" m_stress = {}\n",
" \n",
" for comp in comp_list:\n",
" print('working on Cerr {} stresses'.format(comp))\n",
"\n",
" cerr_x[comp] = c_x.copy()\n",
" cerr_y[comp] = c_y.copy()\n",
"\n",
" for i, z in enumerate(z_vec):\n",
" cerr_x[comp][:,:,i] = hs.do_c_convo(component=comp, f_dir='x',z=z,\n",
" load=Fh_x, kernel_res=study_res,\n",
" kernel_radius=kernel_rad,\n",
" conv_mode=c_conv_mode) * 1e-6\n",
"\n",
" cerr_y[comp][:,:,i] = hs.do_c_convo(component=comp, f_dir='y', z=z,\n",
" load=Fh_y, kernel_res=study_res,\n",
" kernel_radius=kernel_rad,\n",
" conv_mode=c_conv_mode) * 1e-6\n",
" \n",
" m_stress[comp] = cerr_x[comp] + cerr_y[comp] + b_stress[comp]\n",
" \n",
" return b_stress, m_stress\n",
" \n",
" \n",
" "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Calculating topo stresses"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"working on Bouss xy stresses\n",
"working on Bouss xz stresses\n",
"working on Bouss yz stresses\n",
"working on Bouss xx stresses\n",
"working on Bouss yy stresses\n",
"working on Bouss zz stresses\n",
"working on Cerr xy stresses\n",
"working on Cerr xz stresses\n",
"working on Cerr yz stresses\n",
"working on Cerr xx stresses\n",
"working on Cerr yy stresses\n",
"working on Cerr zz stresses\n"
]
}
],
"source": [
"cake_b_stress, cake_stress = do_convo(-cake)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x1126dd9b0>"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABfkAAAEgCAYAAAAHXnmBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11698aac8>"
]
},
"metadata": {
"image/png": {
"height": 144,
"width": 764
}
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,2))\n",
"\n",
"plt.pcolormesh(v, z_vec/1000, cake_stress['zz'][500,:,:].T, cmap=plt.cm.CMRmap)\n",
"\n",
"plt.plot(v, -cake[:,500]/1000)\n",
"\n",
"plt.gca().invert_yaxis()\n",
"\n",
"plt.colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"working on Bouss xy stresses\n",
"working on Bouss xz stresses\n",
"working on Bouss yz stresses\n",
"working on Bouss xx stresses\n",
"working on Bouss yy stresses\n",
"working on Bouss zz stresses\n",
"working on Cerr xy stresses\n",
"working on Cerr xz stresses\n",
"working on Cerr yz stresses\n",
"working on Cerr xx stresses\n",
"working on Cerr yy stresses\n",
"working on Cerr zz stresses\n"
]
}
],
"source": [
"hill_b_stress, hill_stress = do_convo(-circ_hill)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x11677c748>"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABfAAAAEgCAYAAAD7S1JLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJEmSNIFM4EuSJEmSJEmSNIH+Pxlr3fkJdfDBAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11285f400>"
]
},
"metadata": {
"image/png": {
"height": 144,
"width": 760
}
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,2))\n",
"\n",
"plt.pcolormesh(v, z_vec/1000, hill_stress['zz'][500,:,:].T, cmap=plt.cm.CMRmap)\n",
"\n",
"plt.plot(v, -cake[:,500]/1000)\n",
"\n",
"plt.gca().invert_yaxis()\n",
"\n",
"plt.colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"working on Bouss xy stresses\n",
"working on Bouss xz stresses\n",
"working on Bouss yz stresses\n",
"working on Bouss xx stresses\n",
"working on Bouss yy stresses\n",
"working on Bouss zz stresses\n",
"working on Cerr xy stresses\n",
"working on Cerr xz stresses\n",
"working on Cerr yz stresses\n",
"working on Cerr xx stresses\n",
"working on Cerr yy stresses\n",
"working on Cerr zz stresses\n"
]
}
],
"source": [
"plateau_b_stress, plateau_stress = do_convo(-circ_plat)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x117739898>"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABfAAAAEgCAYAAAD7S1JLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1162c6320>"
]
},
"metadata": {
"image/png": {
"height": 144,
"width": 760
}
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,2))\n",
"\n",
"plt.pcolormesh(v, z_vec/1000, plateau_stress['zz'][500,:,:].T, cmap=plt.cm.CMRmap)\n",
"\n",
"plt.plot(v, -cake[:,500]/1000)\n",
"\n",
"plt.gca().invert_yaxis()\n",
"\n",
"plt.colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.colorbar.Colorbar at 0x119356400>"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAABgEAAAEgCAYAAACdJ9PtAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11773f588>"
]
},
"metadata": {
"image/png": {
"height": 144,
"width": 768
}
},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(15,2))\n",
"\n",
"plt.pcolormesh(v, z_vec/1000, (cake_stress['zz'][500,:,:].T\n",
" -hill_stress['zz'][500,:,:].T\n",
" -plateau_stress['zz'][500,:,:].T), \n",
" cmap=plt.cm.CMRmap)\n",
"\n",
"plt.plot(v, -cake[:,500]/1000)\n",
"\n",
"plt.gca().invert_yaxis()\n",
"\n",
"plt.colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Conclusion:\n",
"\n",
"This does indeed show that the stress perturbation from the hill on top of the plateau is wider, and extends less deeply (for a given magnitude) than the hill on top of the halfspace.\n",
"\n",
"So this is good."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.4.3"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment