{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# To make a wedge" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make a wavelet, or import one from SciPy" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "from scipy.signal import ricker\n", "import matplotlib.pyplot as plt\n", "% matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also need to make a physical earth model with three rock layers. In this example, let's make up an acoustic impedance earth model, and to keep it simple, let's define the earth model with two-way travel time along the earth axis." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "n_samples, n_traces = [600,500]\n", "\n", "rock_grid = np.zeros((n_samples, n_traces))\n", "\n", "def make_wedge(n_sampless, n_traces, layer_1_thickness, start_wedge, end_wedge):\n", " \n", " for j in np.arange(n_traces): \n", " \n", " for i in np.arange(n_samples): \n", " if i <= layer_1_thickness: \n", " rock_grid[i][j] = 1 \n", " \n", " if i > layer_1_thickness: \n", " rock_grid[i][j] = 3 \n", " \n", " if j >= start_wedge and i - layer_1_thickness < j-start_wedge: \n", " rock_grid[i][j] = 2\n", " \n", " if j >= end_wedge and i > layer_1_thickness+(end_wedge-start_wedge):\n", " rock_grid[i][j] = 3\n", " return rock_grid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can plot the layers that we have just created\n", "Note these are just indicies 1, 2, and 3" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "layer_1_thickness = 180\n", "start_wedge = 25 # trace location where wedge starts \n", "end_wedge = 150 # trace location where wedge ends \n", "rock_grid = make_wedge(n_samples, n_traces, layer_1_thickness, start_wedge, end_wedge)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOcAAAEACAYAAABIwmGuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAADz1JREFUeJzt3V2MXdV5xvH/Y4NFCCkjh2j8NZUtgRUmSgqO5IaPFIgS\nx40imyubqI2s1FC1TgKlEmWci4jmJsAN6Y0vWj46dcDVKBHIVkrw2IWEJC0GYYuPYbCdZiTGMWOE\nQkSbEDzM24uzBg4TZ+acmfPx+pznJ23N2uvsffaLh4e1zj7bLEUEZpbPonYXYGZn5nCaJeVwmiXl\ncJol5XCaJeVwmiXVlHBK2ihpVNIxSbc34xpmnU6N/p5T0mLgZeCzwAngaeBLEfFSQy9k1uGaMXKu\nB45HxFhEnAb+HdjchOuYdbRmhHMl8ErV/njpM7M6NCOcfh7QrAHOacJ7ngD6qvb7qIye75LkAFtX\niAjN99xmhPMZ4BJJq4FfAluBL808KP7rm0249MLcce8T3HHjte0u431cU20y1qQrvrWg8xsezoiY\nlPQ14DFgMXCf79Sa1a8ZIycR8SjwaDPe26xb+AmhKteuW93uEn6Pa6pNxpoWquEPIdR0USkyfuY0\nayRd8a0F3RDyyGmWlMNplpTDaZaUw2mWlMNplpTDaZaUw2mWlMNplpTDaZaUw2mWlMNplpTDaZaU\nw2mWlMNplpTDaZaUw2mWlMNplpTDaZaUw2mWlMNplpTDaZaUw2mWlMNplpTDaZaUw2mWlMNpltSc\n4ZR0v6QJSc9X9S2VNCzpqKT9knqqXtsp6ZikUUkbmlW4WaerZeR8ANg4o28AGI6ItcDBso+kfirr\ncfaXc3ZJ8uhsNg9zBicingR+NaN7EzBY2oPA9aW9GdgTEacjYgw4DqxvTKlm3WW+o1pvREyU9gTQ\nW9oreP8S8+PAynlew6yrLXjKGZU1BGdbR7D1awyadYD5rmw9IWlZRLwqaTlwqvSfAPqqjltV+n7P\nHfc+8W772nWrO3LxU+suTzw7xhPPjjXs/WpaPFfSamBfRHy87N8NvB4Rd0kaAHoiYqDcEHqIyufM\nlcAB4OKYcREvnmvdYKGL5845ckraA1wDXCTpFeCbwJ3AkKTtwBiwBSAiRiQNASPAJLBjZjDNrDZe\ndt6sSbzsvFmHcjjNknI4zZJyOM2ScjjNknI4zZJyOM2ScjjNknI4zZJyOM2ScjjNknI4zZJyOM2S\ncjjNknI4zZJyOM2ScjjNknI4zZJyOM2ScjjNknI4zZJyOM2ScjjNknI4zZJyOM2Smu9CRgu27ydH\n5zzmT/74wy2oxCynti3HUMtxiyT++a/+rNnlmDXFjff9qHOXY5iK4NaHftbuMszaInU4Ad787Wlu\nvO9H7S7DrOXmDKekPkmPS3pR0guSbi79SyUNSzoqab+knqpzdko6JmlU0oZGFOqAWrepZeQ8Ddwa\nER8DPgV8VdKlwAAwHBFrgYNln7KA7lagH9gI7JLUkBH61gc9xbXuMWdoIuLViDhS2v8LvERl1epN\nwGA5bBC4vrQ3A3si4nREjAHHqax0vWBvvuUprnWPuka0svz85cBTQG9ETJSXJoDe0l4BjFedNk4l\nzA3jgFo3qPl7TkkXAN8HbomIN6X37hBHRMzx9UjDv6+59cGfcc9fXNnotzWbt9GTb/DyyTca9n41\njZySzqUSzN0R8UjpnpC0rLy+HDhV+k8AfVWnryp9DeUprmXz0eU9bF63+t1toWq5WyvgPmAkIr5T\n9dJeYFtpbwMeqeq/QdISSWuAS4BDC670D3BArVPVMnJeBfwlcJ2kw2XbCNwJfE7SUeAzZZ+IGAGG\ngBHgUWBHNPkxpL/7ru/iWudJ/fheve7dfk0z3tZsXjr68b16eYprnaSjwglw83d/2u4SzBqi48L5\nm99NctP9HkHt7Ndx4QSI8BTXzn4dGc5pX9/tKa6dvTo6nL99e5K/vv/H7S7DbF46OpxQ+QvbnuLa\n2ajjwznta//2k3aXYFaXrgnnW6ff4W8eeLLdZZjVrGvCCTA5NeUprp01uiqc03YMegS1/LoynG9P\nTvG3/+qAWm5dGU6A0+94imu5dW04p/kmkWXV9eGcnJryZ1BLqevDCZXPoJ7iWjYOZxU/6meZOJxV\npiLYMegniSwHh3OGtyff8RTXUnA4/wAH1NrN4ZzFVz3FtTZyOGfxO09xrY0czho4oNYODmeNPMW1\nVnM4a+QprrWaw1knB9RaxeGcB09xrRUcznnwFNdaYdZwSjpP0lOSjkgakfTt0r9U0rCko5L2S+qp\nOmenpGOSRiVtaPY/QDs5oNZMs4YzIt4CrouIy4BPUFkG8GpgABiOiLXAwbKPpH5gK9APbAR2Sero\n0dnP4lqzzBmciPhNaS4BFgO/AjYBg6V/ELi+tDcDeyLidESMAceB9Y0sOBs/i2vNUsvK1oskHQEm\ngMcj4kWgNyImyiETQG9prwDGq04fB1Y2sN60HFBrtHPmOiAipoDLJF0IPCbpuhmvxxyL4bZ+dd42\n2TH4JLu2fbrdZVibjJ58g5dPvtGw96v582BE/Br4AfBJYELSMgBJy4FT5bATQF/VaatKX1fw/1Gh\nu310eQ+b161+d1uoWZedl3QRMBkRb0j6APAY8I/A54HXI+IuSQNAT0QMlBtCD1H5nLkSOABcHDMu\n0qxl582yWciy83NNa5cDg+WO6yJgd0QclHQYGJK0HRgDtpRCRiQNASPAJLBjZjDNrDazjpxNu6hH\nTusSCxk5O/o7SLOzmcNplpTDaZaUw2mWlMNplpTDaZaUw2mWlMNplpTDaZaUw2mWlMNplpTDaZaU\nw2mWlMNplpTDaZaUw2mWlMNplpTDaZaUw2mWlMNplpTDaZaUw2mWlMNplpTDaZaUw2mWlMNplpTD\naZaUw2mWVE3hlLRY0mFJ+8r+UknDko5K2i+pp+rYnZKOSRqVtKFZhZt1ulpHzluoLOs3vTrYADAc\nEWuBg2Wfsj7nVqAf2AjsKssHmlmd5gyOpFXAF4B7genlzDYBg6U9CFxf2puBPRFxOiLGgONUFtI1\nszrVMqrdA9wGTFX19UbERGlPAL2lvQIYrzpunMoK12ZWp1nDKemLwKmIOMx7o+b7lJWrZ1sM1wvl\nms3DXMvOXwlskvQF4DzgjyTtBiYkLYuIVyUtB06V408AfVXnryp9ZlaviKhpA64B9pX23cDtpT0A\n3Fna/cARYAmwBvg5ZWn7Ge8V3rx1w1Zrvs60zTVyzhTl553AkKTtwBiwhUolI5KGqNzZnQR2lGmv\nmdVJ7ciOJAfWukJEnPFeTS38HaRZUg6nWVIOp1lSDqdZUg6nWVIOp1lSDqdZUg6nWVIOp1lSDqdZ\nUg6nWVIOp1lSDqdZUg6nWVIOp1lSDqdZUg6nWVIOp1lSDqdZUg6nWVIOp1lSDqdZUg6nWVIOp1lS\nDqdZUg6nWVIOp1lSDqdZUjWFU9KYpOckHZZ0qPQtlTQs6aik/ZJ6qo7fKemYpFFJG5pVvFknq3Xk\nDODaiLg8ItaXvgFgOCLWAgfLPpL6ga1U1urcCOyS5BHarE71hGbmUmabgMHSHgSuL+3NwJ6IOB0R\nY8BxYD1mVpd6Rs4Dkp6RdFPp642IidKeAHpLewUwXnXuOLBywZWadZlaV7a+KiJOSvoIMCxptPrF\niIg5FsT1Yrlmdapp5IyIk+Xna8DDVKapE5KWAUhaDpwqh58A+qpOX1X6zKwOc4ZT0vmSPlTaHwQ2\nAM8De4Ft5bBtwCOlvRe4QdISSWuAS4BDjS7crNPVMq3tBR6WNH38gxGxX9IzwJCk7cAYsAUgIkYk\nDQEjwCSwIyI8rTWrk9qRmzk+n5p1jIiY+S1Hzfz9o1lSDqdZUg6nWVIOp1lSDqdZUg6nWVIOp1lS\nDqdZUg6nWVIOp1lSDqdZUg6nWVIOp1lSDqdZUg6nWVIOp1lSDqdZUg6nWVIOp1lSDqdZUg6nWVIO\np1lSDqdZUg6nWVIOp1lSDqdZUg6nWVIOp1lSNYVTUo+k70l6SdKIpD+VtFTSsKSjkvZL6qk6fqek\nY5JGJW1oXvlmnavWkfOfgP+IiEuBTwCjwAAwHBFrgYNlH0n9wFagH9gI7JLkEdqsXhEx6wZcCPzP\nGfpHgd7SXgaMlvZO4Paq434IfGrGueHNWzdsc+Vrtq2WEW0N8JqkByQ9K+lfygrXvRExUY6ZoLLI\nLsAKYLzq/HFgZQ3XMbMqtYTzHGAdsCsi1gH/R5nCTisrV8cs7zHba2Z2BrWEcxwYj4iny/73qIT1\nVUnLACQtB06V108AfVXnryp9ZlaHmpadl/Rj4MaIOCrpDuD88tLrEXGXpAGgJyIGyg2hh4D1VKaz\nB4CLox3r25udxc6p8bivAw9KWgL8HPgKsBgYkrQdGAO2AETEiKQhYASYBHY4mGb1q2nkNLPWa/n3\nj5I2locTjkm6vYXXvV/ShKTnq/ra+iCFpD5Jj0t6UdILkm5ud12SzpP0lKQj5YGTb7e7pqrrLJZ0\nWNK+RDWNSXqu1HWooXUt5HuYejcqU+HjwGrgXOAIcGmLrv1p4HLg+aq+u4F/KO3bgTtLu7/Udm6p\n9TiwqAk1LQMuK+0LgJeBSxPUdX75eQ7w38DV7a6pXOvvgQeBvRl+f+VavwCWzuhrSF1ND8WMoq8A\nfli1PwAMtPD6q2eEc94PUjSpvkeAz2api8qNv6eBj7W7Jip3/Q8A1wH7svz+Sjg/PKOvIXW1elq7\nEnilar/dDyikeZBC0moqI/tT7a5L0iJJR8q1H4+IF9tdE3APcBswVdXX7pqg8h3+AUnPSLqpkXXV\nere2UdLefYqIkNSWBykkXQB8H7glIt6U1Na6ImIKuEzShcBjkq6b8XpLa5L0ReBURByWdO0ZL9i+\n399VEXFS0keAYUmjjaqr1SPnzAcU+nj/f0labaLdD1JIOpdKMHdHxCNZ6gKIiF8DPwA+2eaargQ2\nSfoFsAf4jKTdba4JgIg4WX6+BjxM5fv9htTV6nA+A1wiaXX5znQrsLfFNVTbC2wr7W1UPvNN998g\naYmkNcAlwKFGX1yVIfI+YCQivpOhLkkXTd9dlPQB4HPA4XbWFBHfiIi+iFgD3AD8Z0R8uZ01AUg6\nX9KHSvuDwAbg+YbV1aybCbN8gP5zKncljwM7W3jdPcAvgbepfO79CrCUyk2Go8B+Kk85TR//jVLj\nKPD5JtV0NZXPUEeoBOAwlb9m17a6gI8Dz5aangNuK/1t/bOqutY1vHe3tt2/vzXlz+kI8ML0v8+N\nqssPIZgl5b8EbZaUw2mWlMNplpTDaZaUw2mWlMNplpTDaZaUw2mW1P8DmZa0mUUdg4gAAAAASUVO\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(rock_grid, cmap = 'copper_r')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can give each layer in the wedge model some properties, in SI units:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 0.858 0.816 0.8745]\n" ] } ], "source": [ "vp = np.array([3300.,3200.,3300.]) # P-wave velocity of each layer (SI units)\n", "rho = np.array([2600.,2550.,2650.]) # bulk densities of each layer (SI units)\n", "AI = vp * rho\n", "AI = AI / 10e6 # Re-scale so we don't have to write out huge numbers (optional)\n", "print (AI)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now use the acoustic impedance values and assign them accordingly to every sample in the rocks." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "model = np.copy(rock_grid)\n", "model[rock_grid == 1] = AI[0]\n", "model[rock_grid == 2] = AI[1]\n", "model[rock_grid == 3] = AI[2]" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAARkAAAEKCAYAAAAmUiEiAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(model, cmap='Spectral')\n", "plt.colorbar()\n", "plt.title('Impedances')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we compute reflection coeffcients," ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "upper = model[:-1][:]\n", "lower = model[1:][:]\n", "rc = (lower - upper) / (lower + upper)\n", "maxrc = np.amax(abs(rc)) #find maximum reflection coefficient for scaling plots" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYsAAAF6CAYAAADoLnQ3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XmcXFWZ//HPN51E0mwhgNklIEEJgxCQEFk6bMGQgQTH\nBXFYRBQUGZdhlARw0N9ENhl1kIFhBJwMyjaCGAVMAoKtjqwmbElMokaSCA0qQaR1SNLP7486HSpl\ndd3qrq6ururv+/W6r77LOXWf04T79Dnn3luKCMzMzEoZVOsAzMys/3OyMDOzTE4WZmaWycnCzMwy\nOVmYmVkmJwszM8vkZNHAJI2U1Crpj5KulPR5STdV4TxzJX29tz+3WiR9TFJb+r3sJOlQSavS9mxJ\n90g6rYzPeVpSS1/EbFZr8nMW/ZukNcAbgc3Aq8Bi4OMR8ccy6n4O2C8i3pO2Lwb2jIhTK4jnCOCm\niBjf08+oJUlDgJeBKRHxdNp3P3BXRHytRjF9HnhzJf9dzKrNPYv+L4DjI2J7YD9gX+CiMuvuBizP\n21Yvx1aPRgHbsPXv5U3AstqEY1YfnCzqSES0AYuAfTr3SZoq6X8lvSRpqaRpaf9/AacBn03DK0eT\nSzxk1U3HRkj6hqT1kv4g6U5JzcC9wBhJr6TPHV04vCVplqRn0uc+IOmtecfWSDpP0hOSNki6VdIb\numqzpI9IWpbO9YykyWn/3pIeTOd4WtIJeXXekIbdfiPpeUnXStpG0l68niQ2SLpf0mpgD+B76RxD\n0+eeWSKG/fPacnRal6Q5klZL+p2k2yTtlI5NkNQh6bQU04uSLkjHZgBzgZPS73RJ2v9BSb9M5/yV\npA+U/tdhVmUR4aUfL8CvgaPT+jjgSeCf0/ZY4HfAjLR9TNreOW1/A/h/eZ/1eXJDSOXUvRu4BdgR\nGAwcnvZPA9YWxHhx3ufuBfwJOBpoAj4DrAIG57XnIXJ/4e9E7i/6s7to+3uBdcCBafvN5HoBQ4DV\nwJwU25HAH4G9UrmvAHcBw4HtgAXAJenYbkAHMKjgd3xU3vYDwIdKxVBYD/gk8L/AmBTffwA3p2MT\n0jmvA94AvA34C/CWvN/ff+edf1tyQ2UT0/ZIYFKt/y16GdiLexb9n4C7JP0ReBb4JTAvHTsFuCci\nfgAQEfcBjwF/W1C/mC7rShoNzAA+GhEvR8SmiPhxic/L33cS8P2IuD8iNgNXAsOAQ/LKXBURz0fE\nS8D3gP27iPHDwOUR8XiK8ZcR8SwwFdg2Ii5LsT0AfB84WZKAjwD/GBEbIuJPwKXA+zN+H13pKoZC\nZwMXRcRvI2Ij8AXgPZLy/x/7QkT8X0Q8CTxBblixM6bCuDqAfSUNi4i2iPAwmdWUk0X/F8DsiNgB\nOAI4Cnh7OrYb8N40FPOSpJeAQ8n91Z6lVN3xwB8i4uUexDuGXFLLBR8RwFpyPZlOz+et/5ncX//F\njCOXHIudY23Bvt+k/bsAzcDjee26N+3via5iKDQB+E7eOZcBm8j1Cjrlt7udLtodEa+SS7ofBX4r\n6fuS3tKD2M16jZNFHYmIVuBrwOVp17Pkhn92ylu2j4gryvi4UnXXAiMk7VgsjIzPXU8uEQG5sXxy\nyWd9V80q8VlrgT2L7P8tMD59dqfd0jl+Ry4BTcpr1/CUbHuiqxgKPUtuSC//99kcEc+VUfevfgcR\nsSgijiWXvFcAdXNrsjUmJ4v681VgiqSDgW8CJ0g6VlJTmsQ9QlLnX/Glhly6rJsucPcC10gaLmmI\nXn+eoA3YWVJXF9//ITeUdZRyt6meR258/n+7KF8qxuuBf5J0QJpA3lPSm8jNebSTm7wfotztvMcD\nt6aezNeBr0raFUDSWEnHljhPKV3FUOg/gEs6j0naVdKsMs/xPDChM/lJeqNyz3tsC2wkd8v05h7G\nb9YrnCzqTET8DpgPnB8R64DZwAXAC+T+uj2P1y/AwdZ/tW7ZLlG389/EqeQuVCvIJYhPpHoryE18\n/0q5u6RGF3zuL8jNh3wNeJHc/MkJEbGpqybRRe8iIr4NfBG4mdwE9p3ATmlO4ATguHSOq4FTI2Jl\nqno+uQnwhyS9TO7ZlL0KzlmWrmIoUvTfyE2kL0rzSz8DppR5zv9JP38v6TFy/w0+Ta6n9HvgcOBj\n5cZsVg1VeSgv3Q74VXJ3w1wfEZdnVDEzs36s15OFpCbgF+RuxVwPPAqcHBHLS1Y0M7N+qxrDUFOA\n1RGxJg0X3EpuuMPMzOpUNZLFWLa+rXEdW982aWZmdaYaycJvJjQzazCDq/CZ68ndV99pPLnexRaS\nnFDMrGoiwi/N7GXVSBaPARMlTSD38NRJwMmFhdrb26tw6v5h3rx5XHRRuS+GrT9uX31r9PY1NzfX\nOoSG1OvJIiI2SToXWEju1tkbfCeUmVl9q0bPgoi4l9wTwGZm1gD8BHcVtLQ09jdtun31rdHbZ9VR\nk69VlRSNPGdhZrXT3NzsCe4qcM/CzMwyOVmYmVkmJwszM8vkZGFmZpmcLMzMLJOThZmZZXKyMDOz\nTE4WZmaWycnCzMwyOVmYmVkmJwszM8vkZGFmZpmcLMzMLJOThZmZZXKyMDOzTE4WZmaWycnCzMwy\nOVmYmVkmJwszM8vkZGFmZpmcLMzMLJOThZmZZXKyMDOzTE4WZmaWycnCzMwyOVmYmVkmJwszM8vk\nZGFmZpmcLMzMLJOThZmZZXKyMDOzTE4WZmaWycnCzMwyOVmYmVkmJwszM8vkZGFmZpkG1zoAM7N6\nJim6WyciVI1YqsnJwsysQkMP+HDZZV/7+fVVjKR6nCzMzCqkQU21DqHqnCzMzCrkZGFmZpkGQrLw\n3VBmZhVSU1PZS9H60gxJKyStknR+F2WuSsefkDQ57dtG0sOSlkpaJunSvPJfkrQ8lb9T0o6VtNHJ\nwsysQoMGNZW9FJLUBFwNzAAmASdL2rugzExgz4iYCJwFXAsQEX8BjoyI/YG3AUdKOixVWwTsExH7\nASuBuRW1sZLKZmaWG4YqdyliCrA6ItZExEbgVmB2QZlZwHyAiHgYGC5pZNpuT2WGAk3AH9L+xRHR\nkY49DIyrpI1OFmZmFaowWYwF1uZtr0v7ssqMg1zPRNJSoA14ICKWFTnHh4B7etg8oIxkIelGSW2S\nnsrbN0LSYkkrJS2SNDzv2Nw0rrZC0rGVBGdmVg80aFCXy+aX1/J/a36yZSmi3If6Ch/kC4CI2JyG\nocYBLZKO2KqSdCHwWkTc3L1Wba2cnsU3yI2l5ZsDLI6IvYD70zaSJgEnkRt3mwFcI8m9FzNraKV6\nEkN23oNhex65ZSliPTA+b3s8uZ5DqTLj0r4tIuJl4G7g7Vvikj4IzAT+vqdt65R5IY+IHwMvFeze\nMn6Wfp6Y1mcDt0TExohYA6wmNx5nZtawKhyGegyYKGmCpKHk/uBeUFBmAXAagKSpwIaIaJO0S+fI\njqRhwHRgSdqeAXwGmJ0mwivS0+csRkZEW1pvA0am9THAQ3nlio29mZk1lEqes4iITZLOBRaSm6C+\nISKWSzo7Hb8uIu6RNFPSauBV4IxUfTQwP43gDAJuioj707GvkZv0XiwJ4GcRcU5P46z4obyIiIwX\naXX7JVtmZvWkq+cnyhUR9wL3Fuy7rmD73CL1ngIO6OIzJ1YUVIGeJos2SaMi4nlJo4EX0v7McbVO\n8+bN27Le0tJCS0tLD0Mxs4GstbWV1tbWmsYwEJ7gVkT2H/6SJgDfi4h90/YVwO8j4nJJc4DhETEn\nTXDfTG6eYixwH7kHSaLg86K9vR0zs97W3Nzcp68AlxS7nvivZZd/8a7zGvMV5ZJuAaYBu0haC/wz\ncBlwu6QzgTXA+wAiYpmk24FlwCbgnMJEYWbWaIo9md1oMpNFRJzcxaFjuih/CXBJJUGZmdWTgTAM\n5bfOmplVyMnCzMwyOVmYmVkmJwszM8vkZGFmZpkqfSivHjhZmJlVyD0LMzPL5GRhZmaZnCzMzCzT\noEF19/aObnOyMDOrkJwszMwsS/q+iIbmZGFmViEPQ5mZWSYPQ5mZWSYnCzMzyzTIcxZmZpZlIPQs\nBtU6ADOzeqdBKnspWl+aIWmFpFWSzu+izFXp+BOSJqd94yU9IOkZSU9L+kSReudJ6pA0opI2umdh\nZlahSu6GktQEXE3u20fXA49KWhARy/PKzAT2jIiJkg4GrgWmAhuBT0fEUknbAY9LWtxZV9J4YDrw\nmx4HmLhnYWZWIQ0qfyliCrA6ItZExEbgVmB2QZlZwHyAiHgYGC5pZEQ8HxFL0/4/AcuBMXn1vgx8\ntjfa6GRhZlYhSWUvRYwF1uZtr0v7ssqMK4hhAjAZeDhtzwbWRcSTlbStk4ehzMwqVGoY6pU1T/LK\nb0per6PM0xSeZEu9NAT1beCTEfEnSc3ABeSGoLqq3y1OFmZmFSp1N9QOe+zHDnvst2X7+R9/q7DI\nemB83vZ4cj2HUmXGpX1IGgLcAXwzIu5Kx98MTACeSL2ZceTmM6ZExAvltKmQh6HMzCpU4d1QjwET\nJU2QNBQ4CVhQUGYBcBqApKnAhohoUy4T3AAsi4ivdhaOiKciYmRE7B4Ru5NLPgf0NFGAexZmZhWr\n5KG8iNgk6VxgIdAE3BARyyWdnY5fFxH3SJopaTXwKnBGqn4ocArwpKQlad/ciPhB4Wl6HGDiZGFm\nVqFKH8qLiHuBewv2XVewfW6Rej+hjBGiiNijogBxsjAzq9hAeILbycLMrEJNTY0//etkYWZWoS4e\ntmsoThZmZhXylx+ZmVkmz1mYmVkmfwe3mZll8jCUmZll8jCUmZllanKyMDOzLE4WZmaWycnCzMwy\nOVmYmVkmJwszM8s02MnCzMyyuGdRRb966S89qjf/PWdw5omHA69/m0fnf6Zyt3tSp7e2a3FOt9vt\nrsY5SrWxWucsZ7sWBkKyUETf/4olRXt7e4/qbnilnZ898UuOO2zfXo7KzBpBc3MzEdFnV29Jcfq3\nHi+7/Py/P7BP4+stdfdi3eHbN3PcYfty+8JHax2KmRmQ61mUu9SruksWnabsuztXfeu+WodhZuZk\n0Z9NGLMLRx+8txOGmdWck0U/t8+eY5l95GRu/cEjtQ7FzAawJqnspRhJMyStkLRK0vldlLkqHX9C\n0uS8/TdKapP0VJE6/yBpuaSnJV1eSRvrOlkA7DZmZ94/Ywp3tz5Z61DMbICqpGchqQm4GpgBTAJO\nlrR3QZmZwJ4RMRE4C7g27/A3Ut3Czz0SmAW8LSL+BriykjZmJgtJ4yU9IOmZlJ0+kfaPkLRY0kpJ\niyQNz6szN2XAFZKOrSTAch1+wET+89s/6otTmZltpcJhqCnA6ohYExEbgVuB2QVlZgHzASLiYWC4\npFFp+8fAS0U+92PApekziYgXK2ljOT2LjcCnI2IfYCrw8ZT15gCLI2Iv4P60jaRJwEnkMuQM4Bqp\n+l9nvsN2wzjioLdw5fwfVPtUZmZbGTxIZS9FjAXW5m2vS/u6W6bQRKBF0kOSHpT09m42ayuZD+VF\nxPPA82n9T5KWpyBnAdNSsfnAg+QSxmzglpTN1khaTS5zPlRJoOXYa7dRnDBtf6657Yecc9JR1T6d\nmRlQ+qG83zz5CM8+VfJW/3Ifdis8SVa9wcBOETFV0kHA7cAeZZ6r6IeVTdIEYDLwMDAyItrSoTZg\nZFofw9aJoZwM2GveMmEUbxyxPQseXMqsI/bvq9Oa2QBWKlnssf/B7LH/wVu2f3rLNYVF1gPj87bH\nk7tuliozLu0rZR1wJ0BEPCqpQ9LOEfH7jHpFlT08JGk74A7gkxHxSv6xyD0GXirL9elj4jvtsC2z\njtif2xb6Likzq74K5yweAyZKmiBpKLlh/AUFZRYApwFImgpsyPtjvSt3AUelOnsBQ3uaKKDMnoWk\nIeQSxU0RcVfa3SZpVEQ8L2k08ELaX1YGnDdv3pb1lpYWWlpaehB+aYcfsBdfuWkRnz61T+bYzawG\nWltbaW1trWkMlTw/ERGbJJ0LLASagBsiYrmks9Px6yLiHkkz07D+q8AZnfUl3UJuSmBnSWuBf46I\nbwA3AjemW2pfIyWbnsp8N5QkkZuT+H1EfDpv/xVp3+WS5gDDI2JOmuC+mdw8xVjgPnK3fEVe3R6/\nG6q7Vvz6ORY8uJTPnnFcn5zPzGqrFu+GmnffL8ouf9Exb6nLd0OV07M4FDgFeFLSkrRvLnAZcLuk\nM4E1wPsAImKZpNuBZcAm4JzIykhV9NbdRzNsm6F8466fcMaJh9UqDDNrYPX8ZHa56u6ts5X47gNL\nmH3k5OyCZla3atGzuOLBVWWX/+wRE+uyZ1H3T3B3x3GH7ct//M+DtQ7DzBqM3w3VYIYOGcw7D9mH\ny264p9ahmFkDcbJoQLuP3ZW/O+ZAvvzfC2sdipk1CCeLBrXXbiM5ffah3L7IX6BkZpWr9K2z9WBA\nJguAnXfcjvcdexC3+fXmZlahQVLZS70asMmi0zFTJ3Hlf/nlg2bWc00qf6lXAz5Z7Dx8O2YfNZkv\nfv37tQ7FzOrUoEEqe6lXAz5ZAEx800hOOf4dXHPbD2sdipnVIc9ZDCC7jd6Zj773SO647/Fah2Jm\ndcZzFgPMoEHi3ccc6Af3zKxbPGcxQB3fsh//ct33ah2GmdUJz1kMUONG7sQHZh7MpdffXetQzKwO\neBhqAHvz+DfykfdM46bv/6zWoZhZP+dhqAFul+Hbcerx7+DWex+udShm1o+5Z2EAHD9tPy6/0S8f\nNLPi/G4oA2C75m143zun8PlrvlvrUMysH3LPwrbYfewufOhdh3HlfL8axMy25jkL28qbRu/Mp06Z\n7pcPmtlW3LOwvzK4qYmTZkzhOj+4Z2ZJpXMWkmZIWiFplaTzuyhzVTr+hKTJWXUlTZH0iKQlkh6V\ndFAlbXSy6KF3HX0AF19zV63DMLN+YJDKXwpJagKuBmYAk4CTJe1dUGYmsGdETATOAq4to+4VwOci\nYjLwz2m7522spPJA9sYRO/DB2Yc6YZhZpS8SnAKsjog1EbERuBWYXVBmFjAfICIeBoZLGpVR9zlg\nx7Q+HFhfSRudLCqw+9hd+YeTj+Hrd/yo1qGYWQ0NaVLZSxFjgbV52+vSvnLKjClRdw7wr5KeBb4E\nzO1xA4HBlVQ22GWn7fjIu6dx8z0P8YGZU2sdjpnVQKmJ65//7Cf8/KGflqoeZZ6mu7PjNwCfiIjv\nSHovcCMwvZufsYWTRS9577EHccn1d3PBh/+21qGYWR8r9T0VBx1yOAcdcviW7Rv+7a+mDtYD4/O2\nx5PrIZQqMy6VGVKi7pSIOCatfxu4vlQbsngYqpcMGdzEaSe8g7n/dketQzGzPlbhrbOPARMlTZA0\nFDgJWFBQZgFwGoCkqcCGiGjLqLta0rS0fhSwspI2umfRi8aNHME5Jx3JvP/8HheddUKtwzGzPtJU\nwZ/dEbFJ0rnAQqAJuCEilks6Ox2/LiLukTRT0mrgVeCMUnXTR58F/LukNwB/Tts9pohyh8t6j6Ro\nb2/v8/P2ldc2buK2hY9w6vGH1DoUswGnubmZiOizp98kxRPrN5Rdfr+xw/s0vt7iYagqGDpkMKce\nfwj/+W3fJWU2EEjlL/XKyaKK3nvsQVz4tTtrHYaZVdkgVPZSr5wsqminHZo5+z3TmPPVb9c6FDOr\nIvcsrGJvGr0z553+Tq66+b5ah2JmVVLJ6z7qhZNFH9h1p+35xAeO8Ve0mjUo9yysV516/Du49Pq7\nax2GmfUyz1lYrzvjxMP4p3+9vdZhmFkvcs/Cet2oXXbkU6dM911SZg3EcxZWFeNG7sTnzjqBG77z\n41qHYma9QN1Y6pWTRY1s84YhnPmuw/n6Ha21DsXMKuSvVbWq+/uZUznfz2GY1TXPWVjVNQ8byic+\ncDT/+KVbax2KmfXQoG4s9aqeY28YY9+4E3M//LdcduM9tQ7FzHpAUtlLvXKy6Cd23Wl75nxoJv/1\n3ZLfqGVm/ZDvhrI+98HZh3L5jffWOgwz6wbPWVhNfPjvDueTl99S6zDMrEyes7Ca2Hn4dpz/oeM4\n78rbah2KmZXBcxZWM2N2Hc68c9/Ftbc9UOtQzCyD5yyspoZtM5SPnXSkv3HPrJ/zE9zWL3zoXYfx\nmS/75YNm/dWA71lI2kbSw5KWSlom6dK0f4SkxZJWSlokaXhenbmSVklaIenYajdgIBjc1MR5p7+T\nj1/yzVqHYmZFVDpnIWlGumauknR+F2WuSsefkDQ5q26p63RPlEwWEfEX4MiI2B94G3CkpMOAOcDi\niNgLuD9tI2kScBIwCZgBXCPJvZdeMGrnHfnCx2Zz8TV31ToUMytQSc9CUhNwNblr5iTgZEl7F5SZ\nCewZEROBs4Bry6hb9Drd4zZmFYiI9rQ6FGgCXgJmAfPT/vnAiWl9NnBLRGyMiDXAamBKJQHa63bZ\naXu+cM6JXH+nXz5o1p9UOGcxBVgdEWsiYiNwK7lrab4t19yIeBgYLmlURt2urtM9kpksJA2StBRo\nAx6IiGeAkRHRloq0ASPT+hhgXV71dcDYSgK0v/bhv2vhyvk/qHUYZpZU+NbZscDavO1i182uyowp\nUber63SPDM4qEBEdwP6SdgQWSjqy4HhIilIfUUmAVtxZ757Gx7/4Tf79wlNqHYrZgFfq8YnW1lZa\nW0uOBpR7jSxnelzFPq+M63SmzGSRd7KXJd0NHAi0SRoVEc9LGg28kIqtB8bnVRuX9v2VefPmbVlv\naWmhpaWlu7EPaDtsN4zPnX0CH7/km/z7BU4YNnCVcTGuOkXX1+Fphx/OtMMP37J9yRe/WFik8Lo5\nnq1HaIqVGZfKDCmyv/Oa29V1ukcUJRopaRdgU0RskDQMWAh8AXgn8PuIuFzSHGB4RMxJE9w3kxtH\nGwvcR25SJgo+N9rb27HKvfrn/+Prd7TyqVOm1zoUs36hubmZiOizm1QlxZ9f/VPZ5Ydtu91W8Uka\nDPwCOBr4LfAIcHJELM8rMxM4NyJmSpoKfDUippaqK+kKilyne9rOrJ7FaGB+uqNpEHBTRNwvaQlw\nu6QzgTXA+wAiYpmk24FlwCbgnMJEYb1r22Fv4FOnTOedH/1yrUMxG7AUHT2uGxGbJJ1L7o/xJuCG\ndLE/Ox2/LiLukTRT0mrgVeCMUnXTR19Gket0T5XsWVSLexZmVi216Fn85ZUNZZffZvvhfRpfbyl7\nzsLMzLowAAZQnCzMzCpVwTBUvXCyMDOrUCVzFvXCycLMrFJOFmZmlsnJwszMMjlZmJlZpg4nCzMz\ny+AJbjMzy+ZkYWZmmfxQnpmZZXLPwszMsnjOwszMsjlZmJlZJicLMzPL5GRhZmZZPGdhZmbZNm+u\ndQRV52RhZlYp9yzMzCyLh6HMzCzbAEgWg2odgJlZ3YuO8pdukDRC0mJJKyUtkjS8i3IzJK2QtErS\n+Vn1JW0j6RZJT0paJmlOVixOFmZmlerYXP7SPXOAxRGxF3B/2t6KpCbgamAGMAk4WdLeGfXfDxAR\nbwMOBM6W9KZSgThZmJlVKDo6yl66aRYwP63PB04sUmYKsDoi1kTERuBWYHZG/eeAbVOi2RZ4Dfhj\nqUCcLMzMKlW9nsXIiGhL623AyCJlxgJr87bXpX1d1o+IheSSw3PAGuBLEbGhVCCe4DYzq1SJJPDg\no0v50aNPdHlc0mJgVJFDF+ZvRERIKvYu9MJ9KrJvq/qSTgGGAaOBEcCPJd0fEb/uKk4nCzOzCkWJ\nh/KmHbAv0w7Yd8v2v1x709Z1I6Z3VVdSm6RREfG8pNHAC0WKrQfG522PS/sAuqp/CPCdiNgMvCjp\np8DbgS6ThYehzMwq1dFR/tI9C4DT0/rpwF1FyjwGTJQ0QdJQ4KRUr1T9FcBRAJK2BaYCy0sF4mRh\nZlap6s1ZXAZMl7SS3MX9MgBJYyTdDRARm4BzgYXAMuC2iFheqj5wHTBU0lPAI8CNEfF0qUAUNfg6\nQEnR3t7e5+c1s8bX3NxMRKivzicpXnvku2WXHzpldp/G11s8Z2FmVqnuDy/VHScLM7MKRfeHl+qO\nk4WZWaWcLMzMLJOHoczMLEup5ywahZOFmVmlPAxlZmaZnCzMzCxLD94mW3ecLMzMKuWehZmZZXKy\nMDOzLB6GMjOzbO5ZmJlZJicLMzPL4ofyzMwsm+cszMwsk4ehzMwsi19RbmZmmQbCrbNlfQe3pCZJ\nSyR9L22PkLRY0kpJiyQNzys7V9IqSSskHVutwM3M+ovY3FH2Uq/KShbAJ8l9EXjnF3bPARZHxF7A\n/WkbSZOAk4BJwAzgGknlnsPMrC45WQCSxgEzgeuBzi8ZnwXMT+vzgRPT+mzglojYGBFrgNXAlN4M\n2Mysv4mOjrKX7ig1ilNQbkYazVkl6fy8/e+V9IykzZIOKKjzNkk/k/S0pCclvaFULOX81f8V4DNA\nfitHRkRbWm8DRqb1McC6vHLrgLFlnMPMrG5VsWdRdBQnn6Qm4GpyozmTgJMl7Z0OPwW8C2gtqDMY\nuAk4KyL+BpgGbCwVSMlkIel44IWIWMLrvYqtRETw+vBU0SKlzmFmVu+qmCy6GsXJNwVYHRFrImIj\ncCu5UR4iYkVErCxS51jgyYh4KpV7KSJKBpd1N9QhwCxJM4FtgB0k3QS0SRoVEc9LGg28kMqvB8bn\n1R+X9v2VefPmbVlvaWmhpaUlIxQzs7/W2tpKa2trdsEq6qjeE9xdjeLkGwuszdteBxyc8bkTgZD0\nA2BX4NaI+FKpCiWTRURcAFwAIGka8E8RcaqkK4DTgcvTz7tSlQXAzZK+nBowEXik2GdfdNFFGW0x\nM8tW+MfmJZdc0ucxlJqL+Omqtfx09douj0taDIwqcujCrc4REZKKjdT0ZPRmCHAY8Hbgz8D9kh6P\niB92VaG7z1l0BnUZcLukM4E1wPsAImKZpNvJ3Tm1CTgnDVOZmTWsUsNLh+wxlkP2eH3q9ks/eGjr\nuhHTu6orqatRnHyFIzrj2XruuJi1QGtE/CGd5x7gAKDLZFH2ba0R8aOImJXW/xARx0TEXhFxbERs\nyCt3SUTsGRFvjYiF5X6+mVm9quKcxQJyozew9ShOvseAiZImSBpK7vGFBUXK5c87LwT2lTQsTXZP\nA54pFYg2SU+8AAALRUlEQVSfgTAzq1C1bp0lN4ozXdJK4Ki0jaQxku4GiIhNwLnkEsAy4LaIWJ7K\nvUvSWmAqcLeke1OdDcCXgUeBJcDjEXFvqUBUi1EiSdHe3t7n5zWzxtfc3ExEFL17sxokxW8vOafs\n8mMuuKZP4+stfjeUmVmF6vnJ7HI5WZiZVcjJwszMMg2Et846WZiZVcg9CzMzy+RkYWZmmTo8DGVm\nZlncszAzs0xRvRcJ9htOFmZmFfLdUGZmlsnDUGZmlmnza5tqHULVOVmYmVXIw1BmZpbJw1BmZpYp\nNjf+d7w5WZiZVajDPQszM8sSHe5ZmJlZhg4PQ5mZWRZPcJuZWSZPcJuZWaaBMAw1qNYBmJnVu9jc\nUfbSHZJGSFosaaWkRZKGd1FuhqQVklZJOj9v/5ckLZf0hKQ7Je1YUO9Nkv4k6bysWJwszMwq1NER\nZS/dNAdYHBF7Afen7a1IagKuBmYAk4CTJe2dDi8C9omI/YCVwNyC6l8G7i4nECcLM7MKxeYoe+mm\nWcD8tD4fOLFImSnA6ohYExEbgVuB2QARsTgiOrszDwPjOitJOhH4FbCsnECcLMzMKtSxuaPspZtG\nRkRbWm8DRhYpMxZYm7e9Lu0r9CHgHgBJ2wGfBT5fbiCe4DYzq1CpHsPPN2xgyYaXuzwuaTEwqsih\nC7c6R0RIKnaizO6KpAuB1yLi5rTr88BXIqJdkrLqg5OFmVnFSiWLydvvyOTtX59XvvHZZ7euGzG9\nq7qS2iSNiojnJY0GXihSbD0wPm97PLneRednfBCYCRydV2YK8G5JVwDDgQ5Jf46Ia7qKxcnCzKxC\nVXw31ALgdODy9POuImUeAyZKmgD8FjgJOBlyd0kBnwGmRcRfOitEREvnuqSLgVdKJQrwnIWZWcWi\nI8peuukyYLqklcBRaRtJYyTdDRARm4BzgYXkJqtvi4jlqf7XgO2AxZKWSCqZEEpRRN8/TCIp2tvb\n+/y8Ztb4mpubiYiyxuF7g6R44MCpZZc/8vGH+jS+3uJhKDOzCvndUGZmlsnvhjIzs0wD4d1QThZm\nZhWKDg9DmZlZBvcszMwsk+cszMwsk++GMjOzTB6GMjOzTB6GMjOzTB01eBNGX3OyMDOr0GYnCzMz\nyzIARqGcLMzMKuWehZmZZXLPwszMMrlnYWZmmQZCz6Ksb8qTtEbSk+mblh5J+0ZIWixppaRFkobn\nlZ8raZWkFZKOrVbwZmb9weaIspd6Ve7XqgZwRERMjogpad8cYHFE7AXcn7aRNIncd8BOAmYA10jy\n17eaWcPaHOUv9ao7F/HCrwGcBcxP6/OBE9P6bOCWiNgYEWuA1cAUzMwalJPF6wK4T9Jjkj6S9o2M\niLa03gaMTOtjgHV5ddcBYyuO1Mysn/Iw1OsOjYjJwHHAxyUdnn8wIoJcQulK/f6GzMwyVKtnUWpu\nuKDcjDRHvErS+Xn7/0XSE5KWSrpf0vi0f3r64//J9PPIrFjKuhsqIp5LP1+U9B1yw0ptkkZFxPOS\nRgMvpOLrgfF51celfVuZN2/elvWWlhZaWlrKCcXMbCutra20trbWNIYq9hg654avSElgTlq2kNQE\nXA0cQ+5a+6ikBRGxHLgiIj6Xyv0DcDHwYeBF4Ph0/d4HWEjuWt0lRUYjJTUDTRHxiqRtgUXAF1Jg\nv4+IyyXNAYZHxJw0wX0zuYQyFrgP2DPyTiQp2tvbs39NZmbd1NzcTEQUzrFWjaS4YtuJZZf/7Kur\nyo5P0gpgWkS0SRoFPBgRby0o8w7g4oiYkbbnAETEZQXl5gI7RkRhshHwO2BURGzsKpZyehYjge/k\nPo/BwLciYpGkx4DbJZ0JrAHelwJcJul2YBmwCTgnsjKSmVkdq2LPoqu54XxjgbV52+uAgzs3JH0R\nOBVoB6YWqf9u4PFSiQLKSBYR8Wtg/yL7/0Cud1GsziXAJVmfbWbWCErNRfxqczu/7vhzl8clLQZG\nFTl0Yf5GRISkYmcqmaki4kLgwtTj+ApwRt659wEuA6aX+gzwE9xmZhUr1bPYbdAwdhs0bMv2A5te\n2up4RHR5oZbU1dxwvsJ54vFsfUdqp5uBe/I+exxwJ3Bq6hSU5IflzMwq1NGNpZsWAKen9dOBu4qU\neQyYKGmCpKHkHopeACApfzJlNrAk7R8O3A2cHxE/KycQJwszswpV8TmLy4DpklYCR6VtJI2RdDdA\nRGwCziV3R9My4LZ0JxTApZKekrQUOAI4L+0/F3gzcHF6jdMSSbuUCiTzbqhq8N1QZlYttbgbau7Q\nPcouf+lrv+rT+HqL5yzMzCpUz09ml8vJwsysQvX8zqdyOVmYmVXIPQszM8v0WoeThZmZZRgIw1C+\nG8rMGkot7obqbh3fDWVmNsDU44W/J/xQnpmZZXKyMDOzTE4WZmaWycnCzMwyOVmYmVkmJwszM8vk\nZGFmZpmcLMzMLJOThZmZZXKyMDOzTE4WZmaWycnCzMwyOVmYmVkmJwszM8vkZGFmZpmcLMzMLJOT\nhZmZZXKyMDOzTE4WZmaWycnCzMwyOVmYmVkmJwszM8vkZGFmZpmcLMzMLJOThZmZZXKyMDOzTE4W\nZmaWycnCzMwyOVmYmVkmJwszM8vkZGFmZpmcLMzMLJOThZmZZXKyMDOzTE4WZmaWycnCzMwyOVlU\nQWtra61DqCq3r741evusOpwsqqDR/2d0++pbo7fPqsPJwszMMjlZmJlZJkVE359U6vuTmtmAERGq\ndQyNpibJwszM6ouHoczMLJOThZmZZerzZCFphqQVklZJOr+vz98bJN0oqU3SU3n7RkhaLGmlpEWS\nhucdm5vau0LSsbWJujySxkt6QNIzkp6W9Im0v1Hat42khyUtlbRM0qVpf0O0r5OkJklLJH0vbTdM\n+yStkfRkat8jaV/DtK/fiog+W4AmYDUwARgCLAX27ssYeqkdhwOTgafy9l0BfDatnw9cltYnpXYO\nSe1eDQyqdRtKtG0UsH9a3w74BbB3o7Qvxdycfg4GHgIOa6T2pbj/EfgWsKCR/n2mmH8NjCjY1zDt\n669LX/cspgCrI2JNRGwEbgVm93EMFYuIHwMvFeyeBcxP6/OBE9P6bOCWiNgYEWvI/WOd0hdx9kRE\nPB8RS9P6n4DlwFgapH0AEdGeVoeS+wPmJRqofZLGATOB64HOu4Iapn1J4d1Ojda+fqevk8VYYG3e\n9rq0rxGMjIi2tN4GjEzrY8i1s1PdtFnSBHI9qIdpoPZJGiRpKbl2PBARz9BA7QO+AnwG6Mjb10jt\nC+A+SY9J+kja10jt65cG9/H5BsR9uhERGc+S9Pvfg6TtgDuAT0bEK9Lrf8jVe/siogPYX9KOwEJJ\nRxYcr9v2SToeeCEilkg6oliZem5fcmhEPCdpV2CxpBX5Bxugff1SX/cs1gPj87bHs3XWr2dtkkYB\nSBoNvJD2F7Z5XNrXb0kaQi5R3BQRd6XdDdO+ThHxMnA3cCCN075DgFmSfg3cAhwl6SYap31ExHPp\n54vAd8gNKzVM+/qrvk4WjwETJU2QNBQ4CVjQxzFUywLg9LR+OnBX3v73SxoqaXdgIvBIDeIri3Jd\niBuAZRHx1bxDjdK+XTrvlJE0DJgOLKFB2hcRF0TE+IjYHXg/8MOIOJUGaZ+kZknbp/VtgWOBp2iQ\n9vVrfT2jDhxH7g6b1cDcWs/w97ANtwC/BV4jNwdzBjACuA9YCSwChueVvyC1dwXwzlrHn9G2w8iN\ndS8ldxFdAsxooPbtC/w8te9J4DNpf0O0r6Ct03j9bqiGaB+we/pvtxR4uvMa0ijt68+LX/dhZmaZ\n/AS3mZllcrIwM7NMThZmZpbJycLMzDI5WZiZWSYnCzMzy+RkYWZmmZwszMws0/8HdSOI214W1+0A\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10, 6))\n", "plt.imshow(rc, cmap='RdBu', vmax=maxrc, vmin=-maxrc)\n", "plt.colorbar(shrink=0.75)\n", "plt.title('Reflection coefficients')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we make a wavelet and interact it with the model using NumPy's convolve function" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def make_synth(f):\n", " nt=512\n", " synth = np.zeros((n_samples+nt-2, n_traces))\n", " wavelet = ricker(nt, 1e3/(4.*f))\n", " wavelet = wavelet / max(wavelet) #normalize the wavelet\n", " for i in range(n_traces):\n", " synth[:,i] = np.convolve(rc[:,i], wavelet)\n", " synth = synth[ceil(len(wavelet))/2:-ceil(len(wavelet))/2, :]\n", " return synth" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/Evan/anaconda/lib/python3.4/site-packages/ipykernel/__main__.py:8: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABBkAAAFCCAYAAAC0DgVhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "frequencies = np.array([8,10,12])\n", "rock_names = ['shale 1','sand','shale 2' ]\n", "\n", "plt.figure(figsize = (18,5))\n", "slices = [];\n", "for i in np.arange(len(frequencies)):\n", " this_plot = make_synth(frequencies[i])\n", " plt.subplot(1, len(frequencies), i+1)\n", " plt.imshow(this_plot, cmap='RdBu', vmax=maxrc, vmin=-maxrc, aspect=1)\n", " plt.title( '%d Hz wavelet' % frequencies[i] )\n", " plt.grid()\n", " plt.axis('tight')\n", " slices.append(this_plot)\n", " \n", " \n", " # Add some labels\n", " for i, names in enumerate(rock_names):\n", " plt.text(400, 100+((end_wedge-start_wedge)*i+1), names,\n", " fontsize = 14, color='gray',\n", " horizontalalignment='center',\n", " verticalalignment='center')\n", "\n", "model_x, model_y = this_plot.shape[0],this_plot.shape[1]" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/Evan/anaconda/lib/python3.4/site-packages/ipykernel/__main__.py:8: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n" ] } ], "source": [ "model_x, model_y\n", "frequencies = np.array([5,10,15])\n", "RGB_array= np.zeros((model_x,model_y,3))\n", "cbands = ['Reds_r', 'Greens_r', 'Blues_r']\n", "rock_names = ['shale 1','sand','shale 2' ]\n", "\n", "for item, band in enumerate(cbands):\n", " this_plot = make_synth(frequencies[item])\n", " RGB_array[:,:,i]=this_plot" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOcAAAEACAYAAABIwmGuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAEO1JREFUeJzt3X2MHPddx/H3x08kTgLm8nB+bG0VR8SlwlFVE1q3TUrr\nmiiy8wdKXESx2lAoEcQSbWI7CChCtFF4aKnUFCLS4pjiYKhiOUQ0tkN5lBrX1CYP7sV2lROxm56j\ntlQphcbBX/6Y39aTub3bh9u9/e3u5yWN9je/nd353p0//s3OzM4oIjCz/MzpdQFmVp/DaZYph9Ms\nUw6nWaYcTrNMOZxmmepKOCVtlDQm6aSk7d1Yh9mgU6ePc0qaCzwLvBM4A3wZeE9EfLWjKzIbcN0Y\nOdcBpyJiPCLOAQ8Bm7uwHrOB1o1wLgOeL82fTn1m1oJuhNPnA5p1wLwuvOcZYEVpfgXF6PkDkhxg\nGxoRoXZe142R8wiwWtJKSQuAW4H9XViP2UDr+MgZEa9I+jXgMWAu8ID31Jq1ruOHUppaqTdrbYjk\ntFlrZh3gcJplyuE0y5TDaZYph9MsUw6nWaYcTrNMOZxmmXI4zTLlcJplyuE0y5TDaZYph9MsUw6n\nWaYcTrNMOZxmmXI4zTLlcJplyuE0y5TDaZYph9MsUw6nWaYcTrNMOZxmmXI4zTLlcJplyuE0y5TD\naZYph9MsUw3DKekzkiYkPVXqG5F0UNIJSQckLSo9t1PSSUljkjZ0q3CzQdfMyPlZYGOlbwdwMCKu\nBh5P80haQ3Gz3DXpNfdJ8uhs1oaGwYmIfwG+XeneBOxK7V3Azam9GdgTEeciYhw4BazrTKlmw6Xd\nUW00IiZSewIYTe2lwOnScqeBZW2uw2yozXiTM4pbY093p2rfxdqsDe2Gc0LSYgBJS4Czqf8MsKK0\n3PLUZ2Ytajec+4Gtqb0V2Ffq3yJpgaRVwGrg8MxKNBtSETHtBOwBvg68DDwPvA8YAQ4BJ4ADwKLS\n8ndT7AgaA949xXuGJ0/DMjXK2FSTUlhmlaTZX6lZj0SE2nmdj0GaZcrhNMuUw2mWKYfTLFMOp1mm\nHE6zTDmcZplyOM0y5XCaZcrhNMuUw2mWKYfTLFMOp1mmHE6zTDmcZplyOM0y5XCaZapPwikuXPVh\nTpo3G2x9Es6zpfb/AeeBc8Dne1OO2Szok2sINbv4z6dlH2qxIrPuafcaQn0SzvNc2LSt+44zrMis\nWzToF/j6pwbPV69GaNb/+mTkhAuhqz5C45HTI6v1Svsj57xOl9I9vwzcP8VzjYLq0dT6Tx+NnADv\nAf6K+qPnpLW0twqzjpoz6J85a/YAd3EheA6gDa4+GDlrAay+5HvAxfgzqOVt4PfWQhGo8s+4ELip\n1K86y9R7vYNp/aHhDiFJK4AHgasohqf7I+KTkkaAvwZeC4wDt0TEf6XX7ATeT3E6zx0RcaBzJZdH\n0kfT/IPAe2nvOOhfdKwys45q4haAi4G1qX0p8CxwDXAvcFfq3w7ck9prgGPAfGAlxe0A57R/C0Cl\naU5lqvWXl30pIBpML/X8lnCehmtq9xaADTdrI+IbEXEstb8LfBVYBmwCdqXFdgE3p/ZmYE9EnIuI\ncYpwrmu0nmkqmKK/3qbsZal94xSvuTEtY5a/lo5zSloJXAs8AYxGxER6agIYTe2lwJdKLztNEeYZ\nCqb+zFh7rhbkvy8t90B6vG3mJZjNoqbDKelSiq+BbIuIl6QLIYmIaLAHdrrnWlQL4g8qa7A6h9L6\nU1N7ayXNpwjm7ojYl7onJC1Ozy/hwve6zgArSi9fnvpmICqPkyqsM5n1t4bhVDFEPgAcj4hPlJ7a\nD2xN7a3AvlL/FkkLJK0CVgOHZ15qOaDThbT26IBaf2t4EoKk9cA/A09yIRU7KQK3F3gNkw+l3E1x\nKOUVis3gxyrvOYPN3GYC2EyQzWbHgH+fc9I7lB4dUMvbEJwhVNbKJm61bdYf+jSc0HxAfZK89ac+\nDidMDmgzO4rM+kOfhxMmB7MaUAfT+lOfhvPKOn3VgJZD2swOpPlTvK9Zb/RpOM9ShO+6Sn+jURSm\nDujC0vve15kyzWagTw+lPA68I7UPAz9VXcMUj9XQVss4Q3FqcPV9zNo3ZMc5YXKwLgK+X17LFI+N\nAvrfFKNozeXAt9ov04bekB3nhMlf/fpf4HdK8/VCWD5pfqodRZdU5r9J4+vmmnVeH4fzu8AHK30f\nAX69NF9vdJxqR1HZysr824C/a7lCs5no483amp8D/qbS9yu8+hq3jQ6nTLWJW50fo7gIhFnzhnCz\ntuZvgesrfX8G/H5pvt2TFFZW5n8c+ErLFZq1YwBGzppTwOsqfR8C/ri6dlobQZcDz9dZ1ntyrTlD\nuLe2nm8CI5W+bcAnqxUw801cgAUU9wk1m9oQb9aWXV6n70+AP6j0tbOJ+5o6y77cfGlmLRqwcEIR\nqhOVvg9TXL2zrNWAPg8sqbOsvytq3TFgm7VlLwJXVPo+DPxRtRo6s4n7Q3gktXq8WTvJlRRXSSn7\nQ+ATlb52NnGX11n2+3X6zNo3wOGE4psmxyt924DfqvS1GtAzFHenqPImrnXOAG/Wlk0wOUy/CXy0\n0tepTdzqeb42zHwopaH/oQhN2Z8Cv1rpazWgi4EX6ix7pNUCbSC9yeFszpPAGyp9vwf8dqWv1YCO\nUBxjNatq//6cQxZOKEa5xZW+jwC/W+nr1CauDTeHs0UvUdzNsOwB4Jcqfa0G9CqKz7dmNUNxZ+tO\nuoziFqJltzF5B1Gre3HPAotmXJ0ZDO3IWVPv7oQfpdiTW9bOJm71LCUbTld7s7Z93wJ+tNL3lxS3\nsS9rJ6BmPkNoBkaYfNjjFyjOJirzRattdk0bTkkXSXpC0jFJxyV9LPWPSDoo6YSkA5IWlV6zU9JJ\nSWOSNnT7B+iMNwH/Wen7EJ35NotZmyJi2glYmB7nUdxOfj1wL3BX6t8O3JPaayj2tMynuIzAKWBO\nnfeMPKezAVGZHqqznALmTDEpTb3+WTzlMjXK2FRTw83aiPheai4A5gLfBjYBu1L/LuDm1N4M7ImI\ncxExThHOdY3WkY+rgCcqfbfS/snynjy1b16jBSTNobhwzuuAT0fEM5JGI6J2QG8CGE3tpRSja029\n3aGZuw54DlhZ6ttG8YveVuqrhbPeH2BmfxQbJFP9J95YMyPn+YhYS/E9qbdJuqHy/HTDyMyq65lV\nFN88KbsD2Ffpa/Sjm7Wv6b21EfEd4FHgjcCEpMUAkpZQHH2H4l/0itLLljP5X3mfWA78W6VvM/Cp\nSp8DamUBnC9N7Wu0t/aK2p5YSRcD7wKOAvuBrWmxrVwYUvYDWyQtkLQKWE1xM5M+tR74WqXvduDT\nlT4H1GpEEava1L5GnzmXALvS5845wO6IeFzSUWCvpNuAceAWgIg4LmkvxTecXwFuj16c5dBRP0bx\nI7621PfBNH9jqW+6z6BmrfMZQk37R+Dtlb77Ka4uXzbzvXQ2SM779L3Z8SxwdaVvqm+zmAGEwzl7\nTlJs6pYdovg4XuaAGjics+4Q8DOVvs8C7+9BLZY7h3PWHWfyHcd2A7/Yg1osZw5nT9QL6L8Cb+1B\nLZYrf2WsJ9YAj1X61gMP9qAWGzQeOTviaeD1vS7CsuRrCPXYTwD/0esibMA4nB2zluLUY7PO8GZt\nxx0DfrLXRVg2vFmbkbXAv/e6CBsAHjnNuswjp9mAcTjNMuVwmmXK4TTLlMNplimH0yxTDqdZphxO\ns0w5nGaZcjjNMuVwmmXK4TTLlMNplimH0yxTDqdZphxOs0w1FU5JcyUdlfRImh+RdFDSCUkHarcJ\nTM/tlHRS0pikDd0q3GzQNTtybqO4gnLtCgY7gIMRcTXweJpH0hrgVooLum4E7ku3DzSzFjUMjqTl\nFDei/HMu3J1nE7ArtXcBN6f2ZmBPRJyLiHHgFLCukwWbDYtmRrWPA3fy6ntoj0bERGpPAKOpvRQ4\nXVruNLBspkWaDaNGt52/CTgbEUeZ4p526c7V012wyxfzMmtDo9vOvxnYJOlG4CLghyXtBiYkLY6I\nb0haApxNy58BVpRevzz1mVmrIqKpieKe64+k9r3A9tTeAdyT2msorqq8AFgFfI10+c3Ke4UnT8My\nNZux6tRo5KyK9HgPsFfSbcA4cAtFFccl7aXYs/sKcHv04sK4ZgPAF5U26zJfVNpswDicZplyOM0y\n5XCaZcrhNMuUw2mWKYfTLFMOp1mmHE6zTDmcZplyOM0y5XCaZcrhNMuUw2mWKYfTLFMOp1mmHE6z\nTDmcZplyOM0y5XCaZcrhNMuUw2mWKYfTLFMOp1mmHE6zTDmcZplyOM0y5XCaZcrhNMtUU+GUNC7p\nSUlHJR1OfSOSDko6IemApEWl5XdKOilpTNKGbhVvNsiaHTkDuD4iro2IdalvB3AwIq4GHk/zSFoD\n3EpxI92NwH2SPEKbtaiV0FTvMbgJ2JXau4CbU3szsCcizkXEOHAKWIeZtaSVkfOQpCOSPpD6RiNi\nIrUngNHUXgqcLr32NLBsxpWaDZlmbzv/loh4QdKVwEFJY+UnIyIa3K3ad7I2a1FTI2dEvJAeXwQe\npthMnZC0GEDSEuBsWvwMsKL08uWpz8xa0DCckhZKuiy1LwE2AE8B+4GtabGtwL7U3g9skbRA0ipg\nNXC404WbDbpmNmtHgYcl1Zb/XEQckHQE2CvpNmAcuAUgIo5L2gscB14Bbo8Ib9aatUi9yE2Dz6dm\nAyUiqkc6muLjj2aZcjjNMuVwmmXK4TTLlMNplimH0yxTDqdZphxOs0w5nGaZcjjNMuVwmmXK4TTL\nlMNplimH0yxTDqdZphxOs0w5nGaZcjjNMuVwmmXK4TTLlMNplimH0yxTDqdZphxOs0w5nGaZcjjN\nMuVwmmXK4TTLlMNplimH0yxTDqdZphxOs0w5nGaZ6smdrc2sMY+cZplyOM0yNevhlLRR0pikk5K2\nz+J6PyNpQtJTpb4RSQclnZB0QNKi0nM7U41jkjZ0qaYVkr4o6RlJT0u6o9d1SbpI0hOSjkk6Lulj\nva6pUt9cSUclPZJDXZLGJT2Zajrc0ZoiYtYmYC5wClgJzAeOAdfM0rrfClwLPFXquxe4K7W3A/ek\n9ppU2/xU6ylgThdqWgysTe1LgWeBazKoa2F6nAd8CVjf65pKtf0G8DlgfyZ/w+eAkUpfR2rqeigq\nRf808IXS/A5gxyyuf2UlnGPAaGovBsZSeyewvbTcF4DrZqG+fcA7c6kLWAh8GXh9DjUBy4FDwA3A\nIzn8DVM4L6/0daSm2d6sXQY8X5o/nfp6ZTQiJlJ7AhhN7aUUtdV0vU5JKylG9id6XZekOZKOpXV/\nMSKe6XVNyceBO4Hzpb5e1xXAIUlHJH2gkzXN63SlDWR73CYiQtJ09XWtdkmXAp8HtkXES5J6WldE\nnAfWSvoR4DFJN1Sen/WaJN0EnI2Io5Kur7vS3vwN3xIRL0i6EjgoaaxTNc32yHkGWFGaX8Gr/yeZ\nbROSFgNIWgKcTf3VOpenvo6TNJ8imLsjYl8udQFExHeAR4E3ZlDTm4FNkp4D9gDvkLS713VFxAvp\n8UXgYWBdp2qa7XAeAVZLWilpAXArsH+WayjbD2xN7a0Un/lq/VskLZC0ClgNHO70ylUMkQ8AxyPi\nEznUJemK2t5FSRcD7wKO9rImgIi4OyJWRMQqYAvwDxHx3l7WJWmhpMtS+xJgA/BUx2rq1s6EaT5A\n/yzFXslTwM5ZXO8e4OvAyxSfe98HjFDsYDgBHAAWlZa/O9U4Bry7SzWtp/j8dIwiAEeBjb2sC3gD\n8JVU05PAnam/p7+rSo1v58Le2l7+rlal39Mx4Onav+dO1eTT98wy5TOEzDLlcJplyuE0y5TDaZYp\nh9MsUw6nWaYcTrNMOZxmmfp/oHIiFAVuXaIAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow( RGB_array/3, aspect=1)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/Evan/anaconda/lib/python3.4/site-packages/ipykernel/__main__.py:8: DeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOcAAAEACAYAAABIwmGuAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDaOlmDgNo6X8f7KyUQvoc9msAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "1.8849906696345413" ] }, "execution_count": 64, "metadata": {}, "output_type": "execute_result" } ], "source": [ "RGB_array= np.zeros((model_x,model_y,3))\n", "Raw_array= np.zeros((model_x,model_y,3))\n", "\n", "fff = [8,10,12]\n", "#raw1 = (make_synth(5))\n", "#raw2 = (make_synth(8))\n", "#raw3 = (make_synth(12))\n", "\n", "for i in range(3):\n", " Raw_array[:,:,i] = make_synth(fff[i])\n", "\n", "rms1 = (make_synth(5)**1)\n", "rms2 = (make_synth(8)**1)\n", "rms3 = (make_synth(12)**1)\n", "\n", "RGB_array[:,:,0]= rms1/np.amax(rms1)\n", "RGB_array[:,:,1]= rms2/np.amax(rms2)\n", "RGB_array[:,:,2]= rms3/np.amax(rms3)\n", "\n", "stack = sum(RGB_array, axis=-1)/3\n", "\n", "plt.imshow( stack, cmap='RdBu', clim=[-1,1],aspect=1)\n", "plt.show()\n", "\n", "RGB_array.ptp()" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import scipy\n", "scipy.misc.imsave( 'scipy_rgb_array.png', RGB_array*255.0)" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkYAAAE4CAYAAAC+HTxAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+pKw7nWdAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(10,5))\n", "ax = fig.add_subplot(121)\n", "ax2 = fig.add_subplot(122)\n", "ax.imshow(RGB_array)\n", "ax2.imshow(1 - RGB_array) " ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "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 }