{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Horizons and attributes\n", "\n", "After [a question about attributes](http://earthscience.stackexchange.com/questions/5023/how-do-i-extract-seismic-amplitude-on-an-interpreted-horizon) on Earth Science Stack Exchange, I made a couple of illustrations for a blog post on the subject, *[An attribute analysis primer](http://agilegeoscience.com/blog/2015/6/26/an-attribute-analysis-primer)*. I want to show three things for now:\n", "\n", "* Different types of surface or window to use for attribute extraction.\n", "* The importance of interpolation type in extracting attributes at arbitrary time locations. \n", "* The range of different statistics one can extract over a window.\n", "\n", "First, the usual imports." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'd also like to make some fake data — fake horizons and a fake seismic trace. To do this, we need an interpolator." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from scipy.interpolate import spline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now a horribly hacky function to generate a fake horizon. The components, `y0`, `y1`, etc., are strcture at different scales, which we then add together. The smart thing would be to do this in a loop for an arbitrary number of scales." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def generate():\n", " x = np.linspace(0, 100, 101)\n", "\n", " y0 = np.random.random(3) * 3\n", " x0 = np.linspace(0, 100, 3)\n", " y0 = spline(x0, y0, x)\n", " \n", " y1 = np.random.random(10)\n", " x1 = np.linspace(0, 100, 10)\n", " y1 = spline(x1, y1, x)\n", "\n", " y2 = np.random.random(40)/10 - 0.05\n", " x2 = np.linspace(0, 100, 40)\n", " y2 = spline(x2, y2, x)\n", "\n", " y3 = np.random.random(101)/10 - 0.05\n", "\n", " return x, y0 + y1 + y2 + y3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can generate two fake horizons, and turn them into something 'depthlike' for more intuitive visualization. In retrospect, this was probably not necessary..." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x, h1 = generate()\n", "x, h2 = generate()\n", "\n", "h1 = -(20*h1 + 100)\n", "h2 = -(20*h2 + 200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now I make a 'zone' around `h1`, and a function to generate proportional slices. I also include an average horizon, but we don't use that one because it's essentially like the middle porportional horizon." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "h1_top = h1 + 25\n", "h1_bot = h1 - 50\n", "\n", "h_avg = (h1 + h2) / 2\n", "\n", "def prop(p, t):\n", " t = float(t)\n", " return h1 - (p/t)*(h1-h2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now tie it all together in a plot." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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iF5YdW8YF8wXHvs6nn+eVba8wvOVwXm3+qmQxC3G7y8mh6uLFBE2ditFszrdK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\nr7qYAdLL0nl5w8t8f+h7soxZjZZFeEfQxbcLQZ5BxPnHcV2360gOSm5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PLyouFkFx7Vp5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cbE47BvH7z88qVb5/Rs2GxqC2l+/onao9nZF79e8iXoQNcB7nn2Hna07WB6+nTmZs/l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\nhBBCCDF5nSlzOUHX9U9N9IkIIYQQQgghh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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Set up plot\n", "fig = plt.figure(figsize=(20,3))\n", "\n", "# Timeslice H1\n", "ax0 = fig.add_subplot(151)\n", "ax0.plot(h1, lw=2, color='g')\n", "ax0.plot(h2, lw=2, color='g')\n", "ax0.axhline(-200, color='r', lw=3)\n", "ax0.fill_between(x, 0, h1, facecolor='gray', alpha=0.33, lw=0)\n", "ax0.fill_between(x, h2, -400, facecolor='gray', alpha=0.33, lw=0)\n", "ax0.set_ylim(-350,-50)\n", "ax0.set_xticklabels([])\n", "ax0.set_yticklabels([])\n", "ax0.set_ylabel('two-way time', size=15)\n", "ax0.text(2, -75, 'Timeslice', size=15, weight=\"bold\")\n", "\n", "# Highlight H1\n", "ax1 = fig.add_subplot(152)\n", "ax1.plot(h1, lw=3, color='r')\n", "ax1.plot(h2, lw=2, color='g')\n", "ax1.fill_between(x, 0, h1, facecolor='gray', alpha=0.33, lw=0)\n", "ax1.fill_between(x, h2, -400, facecolor='gray', alpha=0.33, lw=0)\n", "ax1.set_ylim(-350,-50)\n", "ax1.set_xticklabels([])\n", "ax1.set_yticklabels([])\n", "ax1.text(2, -75, 'Horizon', size=15, weight=\"bold\")\n", "\n", "# Zone around H1\n", "ax2 = fig.add_subplot(153)\n", "ax2.plot(h1, lw=2, color='g')\n", "ax2.plot(h1_top, lw=0)\n", "ax2.plot(h1_bot, lw=0)\n", "ax2.fill_between(x, h1_top, h1_bot, facecolor='r', alpha=0.5, lw=0)\n", "ax2.plot(h2, lw=2, color='g')\n", "ax2.fill_between(x, 0, h1, facecolor='gray', alpha=0.33, lw=0)\n", "ax2.fill_between(x, h2, -400, facecolor='gray', alpha=0.33, lw=0)\n", "ax2.set_ylim(-350,-50)\n", "ax2.set_xticklabels([])\n", "ax2.set_yticklabels([])\n", "ax2.text(2, -75, 'Zone', size=15, weight=\"bold\")\n", "\n", "# Between both (with shift maybe)\n", "ax3 = fig.add_subplot(154)\n", "ax3.plot(h1, lw=2, color='g')\n", "ax3.plot(h2, lw=2, color='g')\n", "ax3.fill_between(x, h1, h2+25, facecolor='r', alpha=0.5, lw=0)\n", "ax3.fill_between(x, 0, h1, facecolor='gray', alpha=0.33, lw=0)\n", "ax3.fill_between(x, h2, -400, facecolor='gray', alpha=0.33, lw=0)\n", "ax3.set_ylim(-350,-50)\n", "ax3.set_xticklabels([])\n", "ax3.set_yticklabels([])\n", "ax3.text(2, -75, 'Interval', size=15, weight=\"bold\")\n", "\n", "# Proportional slicing\n", "ax4 = fig.add_subplot(155)\n", "ax4.plot(h1, lw=2, color='g')\n", "ax4.plot(h2, lw=2, color='g')\n", "slices = 5\n", "for i in range(slices):\n", " ax4.plot(prop(i+1, slices+1), 'r')\n", "ax4.fill_between(x, 0, h1, facecolor='gray', alpha=0.33, lw=0)\n", "ax4.fill_between(x, h2, -400, facecolor='gray', alpha=0.33, lw=0)\n", "ax4.set_ylim(-350,-50)\n", "ax4.set_xticklabels([])\n", "ax4.set_yticklabels([])\n", "ax4.text(2, -75, 'Proportional', size=15, weight=\"bold\")\n", "\n", "# Display\n", "plt.tight_layout()\n", "plt.savefig('horizons.png', dpi=150)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "## Different measures of amplitude at a given *t*\n", "\n", "A horizon can cross a trace at any time *t* (within the precision of the horizon's TWT property). But a seismic trace only has samples at discrete times. So how do we determine the amplitude at arbitrary times on the trace? Interpolation!" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "amp_samples = np.array([0,1,3,0,-2,-5,-2,2,5,0,-1,1,0,2,4,1,-3,-5,-1,0])" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Interpolate for a smooth curve\n", "from scipy.interpolate import spline, bisplev, lagrange\n", "x = np.arange(len(amp_samples))\n", "t = np.linspace(0, len(amp_samples)-1, 20000)\n", "amp = spline(x, amp_samples, t)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "horizon = 7.543" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "4.41593421788\n" ] } ], "source": [ "amp_spline = spline(x, amp_samples, t)\n", "index = int(20000*horizon/19) # Must be an integer.\n", "hor_spline = amp_spline[index]\n", "print(hor_spline)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.63013150658\n" ] } ], "source": [ "amp_linear = np.interp(t, x, amp_samples)\n", "index = int(20000*horizon/19) # Must be an integer.\n", "hor_linear = amp_linear[index]\n", "print(hor_linear)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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llwM4cqQqPj5ZxMRsdEaY56VWrb1YrQXs2FGPvXtrai8Spa5DX3/9Nbfddhtp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\nU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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "styles = {'ha':'left', 'va':'center', 'size':12}\n", "fig = plt.figure(figsize=(16,4))\n", "\n", "ax = fig.add_axes([0.05,0.15,0.825,0.75])\n", "\n", "# Samples\n", "ax.scatter(x, amp_samples, s=50, c='k', lw=0)\n", "for i, v in enumerate(amp_samples):\n", " if v > 0:\n", " ax.axvline(x=i, ymin=0.5, ymax=0.5 + v/12., c='k', lw=2)\n", " else:\n", " ax.axvline(x=i, ymin=0.5 + v/12., ymax=0.5, c='k', lw=2)\n", "\n", "# Spline interpolated\n", "ax.plot(t, amp_spline, 'k', lw=2)\n", "ax.fill_between(t, 0, amp_spline, where=amp>0, color='k', alpha=0.5, lw=0)\n", "ax.text(0.5, 3.5, \"spline fit\", color='k', **styles)\n", "\n", "# Linear interpolated\n", "ax.plot(t, amp_linear, 'b', lw=2)\n", "ax.fill_between(t, 0, amp_linear, where=amp_linear>0, color='b', alpha=0.5, lw=0)\n", "ax.text(2.5, 2.5, \"linear fit\", color='b', **styles)\n", "\n", "# Horizon crossing point and amplitudes\n", "pos = 19.1\n", "ax.axvline(x=horizon, c='r', lw=2)\n", "ax.text(horizon+0.15, -5, \"HORIZON at t = {}\".format(horizon), color='r', **styles)\n", "\n", "ax.axhline(y=5, xmin=8/19., c='r', lw=1)\n", "ax.axhline(y=hor_spline, xmin=horizon/19., c='r', lw=1)\n", "ax.axhline(y=hor_linear, xmin=horizon/19., c='r', lw=1)\n", "ax.text(pos, 5+0.5, \"nearest = {:.2f}\".format(5), color='k', **styles)\n", "ax.text(pos, hor_spline, \"spline = {:.2f}\".format(hor_spline), color='k', **styles)\n", "ax.text(pos, hor_linear-0.1, \"linear = {:.2f}\".format(hor_linear), color='b', **styles)\n", "\n", "# Axes etc.\n", "ax.axhline(0, color='k')\n", "ax.set_xlim(0, 19)\n", "plt.xlabel('time samples', size=12)\n", "plt.ylabel('amplitude', size=12)\n", "\n", "plt.savefig('trace_sampling.png', dpi=150)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "7.543 happens to be the position of the maximum 'energy' or magnitude of the complex trace..." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Max magnitude: 5.25\n", "Position of max: 7.544\n" ] } ], "source": [ "import scipy.signal\n", "h = scipy.signal.hilbert(amp)\n", "print(\"Max magnitude: {0:.2f}\".format(np.amax(np.abs(h))))\n", "print(\"Position of max: {0:.3f}\".format(19. * (np.argmax(np.abs(h))/20000.)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "## Different statistics from a zone" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "amp = amp_spline" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def rms(a):\n", " mean_squares = np.sum(a**2.)/a.size\n", " return np.sqrt(mean_squares)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0.0064922903754029903" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mean_amp = np.mean(amp); mean_amp" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "2.5986847965736848" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rms_amp = rms(amp); rms_amp" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "2.0724055117964868" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "avg_abs_amp = np.mean(abs(amp)); avg_abs_amp" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "5.0791795368383132" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "max_amp = np.amax(amp); max_amp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We should also compute the Hilbert transform for a phase-independent amplitude 'envelope'. This is sometimes called 'relfection strength' or 'energy'." ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "5.2524545342402007" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import scipy.signal\n", "h = scipy.signal.hilbert(amp)\n", "avg_h = np.mean(np.abs(h))\n", "max_h = np.amax(np.abs(h)); max_h" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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jjjsYNmwYhYWFzJo1i//7v/874d+NEEKcrZqaGlatWsXjjz/O9OnTOXDgAD4+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\nfQfAgAEDuPfee894ufVj21cpKSlMmzaNtLQ0goODe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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(16,4))\n", "\n", "ax = fig.add_axes([0.05,0.15,0.825,0.75])\n", "ax.scatter(x, amp_samples, s=50, c='k', lw=0)\n", "ax.fill_between(t, 0, amp, where=amp>0, color='k', alpha=0.5, lw=0)\n", "for i, v in enumerate(amp_samples):\n", " if v > 0:\n", " ax.axvline(x=i, ymin=0.5, ymax=0.5 + v/12., c='k', lw=2)\n", " else:\n", " ax.axvline(x=i, ymin=0.5 + v/12., ymax=0.5, c='k', lw=2)\n", "ax.plot(t, amp, 'k', lw=2)\n", "abs_h = np.abs(h)\n", "ax.plot(t, abs_h, 'k', lw=2, alpha=0.67)\n", "line, = ax.plot(t, -abs_h, 'k--', lw=2, alpha=0.67)\n", "line.set_dashes([10,10])\n", "ax.fill_between(t, -abs_h, abs_h, color='k', alpha=0.25, lw=0)\n", " \n", "# Add the mean and the RMS\n", "linestyle = {'lw':2, 'alpha':0.67}\n", "ax.axhline(mean_amp, color='r', **linestyle)\n", "ax.axhline(rms_amp, color='g', **linestyle)\n", "ax.axhline(avg_abs_amp, color='lime', **linestyle)\n", "ax.axhline(max_amp, color='b', **linestyle)\n", "ax.axhline(avg_h, color='m', **linestyle)\n", "ax.axhline(max_h, color='purple', **linestyle)\n", "\n", "# Add some labels\n", "pos = 19.1\n", "styles = {'ha':'left', 'va':'center', 'size':12}\n", "ax.text(1.9, -1.3, \"amplitude\", color='k', **styles)\n", "ax.text(4.8, 4.2, \"envelope\", color='k', alpha=0.67, **styles)\n", "ax.text(7.5, -4.4, \"negative\\nenvelope\", color='k', alpha=0.67, ha='center', size=12)\n", "ax.text(pos, mean_amp, \"mean amp = {:.2f}\".format(mean_amp), color='r', **styles)\n", "ax.text(pos, rms_amp+0.1, \"RMS amp = {:.2f}\".format(rms_amp), color='g', **styles)\n", "ax.text(pos, avg_abs_amp-0.25, \"avg abs amp = {:.2f}\".format(avg_abs_amp), color='lime', **styles)\n", "ax.text(pos, max_amp-0.25, \"max amp = {:.2f}\".format(max_amp), color='b', **styles)\n", "ax.text(pos, avg_h+0.45, \"avg energy = {:.2f}\".format(avg_h), color='m', **styles)\n", "ax.text(pos, max_h+0.45, \"max energy = {:.2f}\".format(max_h), color='purple', **styles)\n", "ax.set_xlim(0, 19)\n", "plt.xlabel('time samples', size=12)\n", "plt.ylabel('amplitude', size=12)\n", "\n", "plt.savefig('trace_stats.png', dpi=150)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "
\n", "

© 2015 Agile GeoscienceCC-BY — Have fun!   

" ] } ], "metadata": { "kernelspec": { "display_name": "Python [default]", "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": "3.5.2" } }, "nbformat": 4, "nbformat_minor": 0 }