{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# GeoClaw dtopotools examples\n", "\n", "This notebook contains some examples of working with the *clawpack.geoclaw.dtopotools* module. These tools facilitate creating and manipulating the *dtopo* files that are required as GeoClaw input to specify moving topography, in particular the seafloor motion due to a subduction zone earthquake. All the examples in this notebook are of this nature: slip on a fault surface (or in geneneral a collection of rectangular planar subfaults making up the fault) is converted to seafloor deformation by applying the Okada model. \n", "\n", "See for general documentation of these tools and their use in the context of GeoClaw, and for more information on the Clawpack suite of software." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Contents\n", "\n", " - Reading a csv file specifying the subfaults\n", " - Plot the subfault geometry and slip\n", " - Plot the seafloor displacement\n", " - Create the dtopo file needed by GeoClaw\n", " - Read in an existing dtopo file\n", " - Create a fault using the NOAA SIFT database directly\n", " - Time-dependent fault rupture\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setup notebook and environment:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "source": [ "%pylab inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from clawpack.geoclaw import dtopotools, topotools\n", "import os\n", "CLAW = os.environ['CLAW']\n", "datadir = os.path.join(CLAW,'geoclaw','scratch') # directory for some sample data files" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "## Reading a csv file specifying the subfaults\n", "\n", "Read in a csv file where the first line labels the columns and the remaining lines give the parameters for each subfault. This is a model of the 1964 Alaska earthquake using 12 subfaults from the NOAA SIFT database of unit sources. \n", "\n", "See and\n", "[gica2937.pdf](http://www.pmel.noaa.gov/pubs/PDF/gica2937/gica2937.pdf).\n", "\n", "The full database is available at and a later example in this notebook illustrates using the *dtopotools.SiftFault* class to access this directly. But this example shows how a csv file can be specified. The first line labels the columns with standard attributes needed to specify each subfault. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here is the raw file:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Longitude,Latitude,Depth(km),Length,Width,Strike,Dip,Rake,Slip,UnitSrc\n", "204.89500,55.97000,17.94,100.0,50.0,236.000,15.000,90.0,19.5000,acsza31\n", "205.34000,55.59800,5.00,100.0,50.0,236.000,15.000,90.0,19.5000,acszb31\n", "206.20800,56.47300,17.94,100.0,50.0,236.000,15.000,90.0,24.5000,acsza32\n", "206.65800,56.10000,5.00,100.0,50.0,236.000,15.000,90.0,24.5000,acszb32\n", "207.53700,56.97500,17.94,100.0,50.0,236.000,15.000,90.0,29.5000,acsza33\n", "207.99300,56.60300,5.00,100.0,50.0,236.000,15.000,90.0,29.5000,acszb33\n", "208.93710,57.51240,17.94,100.0,50.0,236.000,15.000,90.0,34.5000,acsza34\n", "209.40000,57.14000,5.00,100.0,50.0,236.000,15.000,90.0,34.5000,acszb34\n", "210.25970,58.04410,17.94,100.0,50.0,230.000,15.000,90.0,34.5000,acsza35\n", "210.80000,57.70000,5.00,100.0,50.0,230.000,15.000,90.0,34.5000,acszb35\n", "211.32490,58.65650,17.94,100.0,50.0,218.000,15.000,90.0,34.5000,acsza36\n", "212.00000,58.38000,5.00,100.0,50.0,218.000,15.000,90.0,34.5000,acszb36\n", "\n" ] } ], "source": [ "subfault_fname = 'data/alaska1964.csv'\n", "print open(subfault_fname).read()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the last column has the name of the unit source from the NOAA SIFT database and will be ignored. The other columns have labels that are expected. Specify the units used for each and the coordinate system for the (longitude,latitude) and depth when reading the file in:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "*** Warning: column name not recognized: unitsrc\n" ] } ], "source": [ "input_units = {\"length\":\"km\", \"width\":\"km\", \"depth\":\"km\", \"slip\":\"m\"}\n", "fault = dtopotools.CSVFault()\n", "fault.read(subfault_fname, input_units=input_units, coordinate_specification=\"noaa sift\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You could skip directly to Create the dtopo file needed by GeoClaw, but first we'll explore this fault model a bit..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Seismic moment `Mo` and Moment Magnitude `Mw` can be computed using the `Fault` class methods:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The seismic moment is 7.08e+22 N-m\n", "The Moment magnitude is 9.20002\n", " (Assuming the rigidity mu of all subfaults is the default value 4e+10 Pa)\n" ] } ], "source": [ "print \"The seismic moment is %g N-m\" % fault.Mo()\n", "print \"The Moment magnitude is %g\" % fault.Mw()\n", "print \" (Assuming the rigidity mu of all subfaults is the default value %g Pa)\"\\\n", " % fault.subfaults[0].mu" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "### Plot the subfault geometry and slip\n", "\n", "First with a vector showing the rake (direction of slip):" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/rjl/anaconda/envs/jupyter/lib/python2.7/site-packages/matplotlib/axes/_base.py:1057: UnicodeWarning: Unicode equal comparison failed to convert both arguments to Unicode - interpreting them as being unequal\n", " if aspect == 'normal':\n", "/Users/rjl/anaconda/envs/jupyter/lib/python2.7/site-packages/matplotlib/axes/_base.py:1062: UnicodeWarning: Unicode equal comparison failed to convert both arguments to Unicode - interpreting them as being unequal\n", " elif aspect in ('equal', 'auto'):\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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fqNFo6O7uzoEDBxrtXLLVLKl9+/axbNmy7NWr13MzSssSrBVyERPGYt80/L0j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\nRK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fault.plot_subfaults(plot_rake=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot again showing the magnitude of slip on each subfault:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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43W6GvTiUa1pdzrjqMLBiNA0b1GdObKyjM1NnSQFmR0Yy0Zdhtb/bzY2pqTn6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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fault.plot_subfaults(slip_color=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot the coastline by downloading a file containing the x-y coordinates of shorelines based on etopo 4 minute data:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "File already exists, not downloading\n" ] } ], "source": [ "from clawpack.clawutil.data import get_remote_file\n", "filename = 'pacific_shorelines_east_4min.npy'\n", "url = 'http://www.geoclaw.org/topo/' + filename\n", "get_remote_file(url=url, output_dir=datadir, force=True, verbose=True)\n", "shorelines_file = os.path.join(datadir, filename)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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d3whfqf+zvjT71UxGJ0RLKaVMSU15r+u8SMOGDWWXLl2kSqX64D5yioDoAFlt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\nAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fault.plot_subfaults()\n", "shore = load(shorelines_file)\n", "plot(shore[:,0], shore[:,1], 'g')\n", "axis([170,240,40,65])\n", "gca().set_aspect(1./cos(55*pi/180.))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "### Create the dtopo file needed by GeoClaw:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate a dtopo grid by applying the Okada model to each subfault. First we need to specify the region over which the seafloor deformation should be specified and the resolution of the grid:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "xlower = 203.5\n", "xupper = 214. # approximate - adjusted below\n", "ylower = 54.5\n", "yupper = 60. # approximate - adjusted below\n", "\n", "# dtopo parameters:\n", "points_per_degree = 60 # 1 minute resolution\n", "dx = 1./points_per_degree\n", "mx = int((xupper - xlower)/dx + 1)\n", "xupper = xlower + (mx-1)*dx\n", "my = int((yupper - ylower)/dx + 1)\n", "yupper = ylower + (my-1)*dx\n", "\n", "x = linspace(xlower,xupper,mx)\n", "y = linspace(ylower,yupper,my)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now apply Okada to create the static deformation at a single time $t = 1$ second:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Making Okada dz for each of 12 subfaults\n", "0..1..2..3..4..5..6..7..8..9..10..11..\n", "Done\n" ] } ], "source": [ "dtopo = fault.create_dtopography(x,y,times=[1.], verbose=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can save this deformation as a `dtopo` file with various `dtopo_type`s recognized by GeoClaw. The most compact is `dtopo_type==3`, which specifies a header followed by all the `dZ` data:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "dtopo_fname = os.path.join(datadir, 'alaska1964.tt3')\n", "dtopo.write(dtopo_fname, dtopo_type=3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Read the file in and print just the header. (The remaining lines contain all the data.)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 631 mx \n", " 331 my \n", " 1 mt \n", "2.03500000000000e+02 xlower\n", "5.45000000000000e+01 ylower\n", "1.00000000000000e+00 t0\n", "1.66666666666799e-02 dx\n", "1.66666666666657e-02 dy\n", "0.00000000000000e+00 dt\n" ] } ], "source": [ "lines = open(dtopo_fname).readlines()\n", "for k in range(9):\n", " print lines[k][:-1]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "### Plot the seafloor displacement" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[203.5, 214.0, 54.5, 62]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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pVBKWMIUQE4CugBK4C/SSUoboSbIkI33SWjpAcHgwPfb0oF6BehztejTRMRrW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\nBiFEIfP2nLgGWyGEH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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dtopo.plot_dZ_colors(t=1)\n", "\n", "# add shoreline and Anchorage for orientation:\n", "plot(shore[:,0], shore[:,1], 'g')\n", "plot([210.1],[61.2],'ro')\n", "text(210.3,61.5,'Anchorage')\n", "axis([xlower,xupper,ylower,62])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "## Read in an existing dtopo file:\n", "\n", "An existing dtopo file can be read in for plotting purposes or to further manipulate it. To illustrate, we read in the file we just created..." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Looks ok\n" ] } ], "source": [ "dtopo2 = dtopotools.DTopography()\n", "dtopo2.read(dtopo_fname, dtopo_type=3)\n", "\n", "# Check that this data looks right:\n", "assert len(dtopo2.x) == 631, \"*** length of x is wrong\"\n", "assert len(dtopo2.y) == 331, \"*** length of y is wrong\"\n", "dz_max = abs(dtopo2.dZ).max()\n", "assert abs(dz_max - 15.368266081250006) < 1e-5, \"*** dz_max is wrong: %g\" % dz_max\n", "print \"Looks ok\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "## Create a fault using the NOAA SIFT database directly\n", "\n", "The example above showed how to read a csv file with arbitrary columns. Since this particular fault is actually specified in terms of the NOAA SIFT unit sources, another option to create the same fault is to use the *dtopotools.SiftFault* class, which takes as an argument a dictionary *sift_slip* specifying the unit sources to be used and the slip on each. \n", "\n", "To illustrate, here we specify only the northern two and southern two unit sources from the example above, but with a dictionary of 12 unit sources we could recreate the full fault." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sift_slips = {'acsza31':19.5, 'acszb31':19.5, 'acsza36':34.5, 'acszb36':34.5}\n", "f2 = dtopotools.SiftFault(sift_slips)\n", "f2.plot_subfaults(slip_color=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "## Time-dependent fault rupture\n", "\n", "This is synthetic data -- the same set of faults as before but with rupture occuring from south to north. Note that new columns `rupture_time` and `rise_time` have been added." ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Longitude,Latitude,Depth(km),Length,Width,Strike,Dip,Rake,Slip,rupture_time,rise_time\n", "204.89500,55.97000,17.94,100.0,50.0,236.000,15.000,90.0,19.5000,0,1\n", "205.34000,55.59800,5.00,100.0,50.0,236.000,15.000,90.0,19.5000,1,1\n", "206.20800,56.47300,17.94,100.0,50.0,236.000,15.000,90.0,24.5000,2,1\n", "206.65800,56.10000,5.00,100.0,50.0,236.000,15.000,90.0,24.5000,3,1\n", "207.53700,56.97500,17.94,100.0,50.0,236.000,15.000,90.0,29.5000,4,1\n", "207.99300,56.60300,5.00,100.0,50.0,236.000,15.000,90.0,29.5000,5,1\n", "208.93710,57.51240,17.94,100.0,50.0,236.000,15.000,90.0,34.5000,6,1\n", "209.40000,57.14000,5.00,100.0,50.0,236.000,15.000,90.0,34.5000,7,1\n", "210.25970,58.04410,17.94,100.0,50.0,230.000,15.000,90.0,34.5000,8,1\n", "210.80000,57.70000,5.00,100.0,50.0,230.000,15.000,90.0,34.5000,9,1\n", "211.32490,58.65650,17.94,100.0,50.0,218.000,15.000,90.0,34.5000,10,1\n", "212.00000,58.38000,5.00,100.0,50.0,218.000,15.000,90.0,34.5000,11,1\n", "\n" ] } ], "source": [ "subfault_fname = 'data/timedep.csv'\n", "print open(subfault_fname).read()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Read in this csv file and set the parameters for the desired dtopo file:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "12 subfaults read in \n", "dZ arrays will have shape 331 by 631\n" ] } ], "source": [ "input_units = {\"length\":\"km\", \"width\":\"km\", \"depth\":\"km\", \n", " \"slip\":\"m\", \"mu\":\"dyne/cm^2\"}\n", "\n", "fault = dtopotools.CSVFault()\n", "fault.read(subfault_fname, input_units=input_units, \n", " coordinate_specification=\"noaa sift\")\n", "fault.rupture_type = 'dynamic'\n", "\n", "print \"%s subfaults read in \" % len(fault.subfaults)\n", "\n", "xlower = 203.5\n", "xupper = 214.\n", "ylower = 54.5\n", "yupper = 60.\n", "xylim = [xlower,xupper,ylower,yupper]\n", "\n", "# dtopo parameters:\n", "points_per_degree = 60 # 1 minute resolution\n", "mx = int((xupper - xlower)*points_per_degree + 1)\n", "my = int((yupper - ylower)*points_per_degree + 1)\n", "x = linspace(xlower,xupper,mx)\n", "y = linspace(ylower,yupper,my)\n", "print \"dZ arrays will have shape %s by %s\" % (len(y),len(x))\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Specify the desired output times, in this case 6 times between $t=0$ and $t=13$, when the rupture motion is complete. Then apply the Okada model at each time (to the set of all subfaults with slips computed at each time based on the `rupture_time` and `rise_time` for that subfault). Then `dtopo.dZ` will be a 3 dimensional array where each field at 6 different time points will be represented:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Created array of dtopo deformations with shape (6, 331, 631)\n" ] } ], "source": [ "times = linspace(0,13,6)\n", "dtopo = fault.create_dtopography(x,y,times=times)\n", "print \"Created array of dtopo deformations with shape\", dtopo.dZ.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Create an animation of the fault rupture\n", "\n", "First define a function that will show time-dependent slip on the fault planes and resulting time-dependent seafloor motion in two side-by-side axes in the same figure:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "maximum abs(dz) over the full rupture time: 15.3682660812\n" ] } ], "source": [ "# for setting color scale:\n", "print \"maximum abs(dz) over the full rupture time:\", \\\n", " abs(dtopo.dZ).max()\n", "\n", "# Read in shoreline segments to give context in plots:\n", "#shoreline_fname = os.path.join(datadir,'tohoku_shoreline_1min.npy')\n", "#shoreline_xy = load(shoreline_fname)\n", "shoreline_xy = shore\n", "\n", "# Incorporate this function in dtopotools to replace animate_dz_colors?\n", "def plot_subfaults_dZ(t, fig):\n", " fig.clf()\n", " ax1 = fig.add_subplot(121)\n", " ax2 = fig.add_subplot(122)\n", " fault.plot_subfaults(axes=ax1, slip_color=True, \n", " slip_time=t, xylim=xylim)\n", " dtopo.plot_dZ_colors(axes=ax2, t=t, cmax_dZ=dz_max)\n", " ax1.plot(shoreline_xy[:,0],shoreline_xy[:,1],'g')\n", " ax2.plot(shoreline_xy[:,0],shoreline_xy[:,1],'g')\n", " ax2.set_xlim(xlower,xupper)\n", " ax2.set_ylim(ylower,yupper)\n", " return fig\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The loop below makes each plot and then saves it as a png file:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Figure files for each frame will be stored in _plots\n", "Saved _plots/frame00000.png\n", "Saved _plots/frame00001.png\n", "Saved _plots/frame00002.png\n", "Saved _plots/frame00003.png\n", "Saved _plots/frame00004.png\n", "Saved _plots/frame00005.png\n", "Final frame will be displayed below:\n" ] }, { "data": { "image/png": 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/+v0TZ4WaKXunaAtlVOpIG/82DhdccAdKKbZe3MrG/zay4b8NHOp36IkI6v7r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ngQY3Pzb/3HkMSEnCB+6a1fwlT4ly3Srl798XYVK6b6PTva+jHeKUiuRdr/DQm+GHCRlltaMrbG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GJhYJKTAUV+UHywjE7t3bGDKkO8uX76R48bIxNKO1+2t+7Nq1mhkzBjJ9+m6+/750rMyvGcvr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\nUwYXP8uz2x9oMMiFcb4lU1QAG42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GGGOMMUnHQrAxxhhjjEk6FoKNMcYYY0zS\nsRBsjDHGGGOSjoVgY4wxxhiTdCwEG2OMMcaYpPP/o9bY6v592DcAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from clawpack.visclaw.JSAnimation import IPython_display\n", "import clawpack.visclaw.JSAnimation.JSAnimation_frametools as J\n", "plotdir = '_plots'\n", "J.make_plotdir(plotdir, clobber=True)\n", "fig = plt.figure(figsize=(12,5))\n", "\n", "for k,t in enumerate(times):\n", " plot_subfaults_dZ(t,fig)\n", " J.save_frame(k, verbose=True)\n", " \n", "print \"Final frame will be displayed below:\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Combine the png files into an animation and display it:" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "
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