{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Programming a seismic program" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook goes with the article\n", "\n", "> Bianco, E and M Hall (2015). Programming a seismic program. *CSEG Recorder*, November 2015. \n", "\n", "It's based on some other notebooks, which are themselves accompaniments to various blog posts at [Agile Geoscience](http://www.agilegeoscience.com/blog).\n", "\n", "* [Laying out a seismic survey](https://github.com/agile-geoscience/notebooks/blob/master/Laying_out_a_seismic_survey.ipynb)\n", "* [Binning a seismic survey](https://github.com/agile-geoscience/notebooks/blob/master/Binning_a_seismic_survey.ipynb)\n", "* [Seismic acquisition](https://github.com/agile-geoscience/notebooks/blob/master/Seismic_acquisition.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Set up the survey" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll start with the usual prelims..." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from shapely.geometry import Point, LineString\n", "import geopandas as gpd\n", "import pandas as pd\n", "from fiona.crs import from_epsg\n", "\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define some survey parameters:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "xmi = 575000 # Easting of bottom-left corner of grid (m)\n", "ymi = 4710000 # Northing of bottom-left corner (m)\n", "SL = 600 # Source line interval (m)\n", "RL = 600 # Receiver line interval (m)\n", "si = 100 # Source point interval (m)\n", "ri = 100 # Receiver point interval (m)\n", "x = 3000 # x extent of survey (m)\n", "y = 1800 # y extent of survey (m)\n", "\n", "epsg = 26911 # A CRS to place it on the earth" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can compute some properties of the survey:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "rlines = int(y/RL) + 1\n", "slines = int(x/SL) + 1" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "rperline = int(x/ri) + 2\n", "sperline = int(y/si) + 2" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "shiftx = -si/2.0\n", "shifty = -ri/2.0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We compute lists of the *x*- and *y*-locations of the receivers and sources with nested loops. We'll use Python's list comprehensions, which are shorthand for `for` loops that generate lists." ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "collapsed": false }, "outputs": [], "source": [ "rcvrx, rcvry = zip(*[(xmi + rcvr*ri + shiftx, ymi + line*RL - shifty)\n", " for line in range(rlines)\n", " for rcvr in range(rperline)])\n", "\n", "srcx, srcy = zip(*[(xmi + line*SL, ymi + src*si)\n", " for line in range(slines)\n", " for src in range(sperline)])" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "collapsed": true }, "outputs": [], "source": [ "rcvrs = [Point(x, y) for x, y in zip(rcvrx, rcvry)]\n", "srcs = [Point(x, y) for x, y in zip(srcx, srcy)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can make a list of 'r' and 's' labels then compile into a dataframe." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "station_list = ['r']*len(rcvrs) + ['s']*len(srcs)\n", "survey = gpd.GeoDataFrame({'geometry': rcvrs+srcs, 'station': station_list})\n", "survey.crs = from_epsg(epsg)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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aeaykpCTuEPKK8hmOchmW8hmW8hmOchmW8pk8KrRFRERERHJAPdoiIiIiUnDU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\n9WiLiIiIiKSUJtolTL1xYSnPcJRlWMozLOUZjrIMS3mmjyb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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "try:\n", " # Needs geopandas fork: https://github.com/kwinkunks/geopandas\n", " survey.plot(figsize=(12,12), column='station', colormap=\"bwr\", markersize=20)\n", "except:\n", " # This will work regardless.\n", " survey.plot()\n", "plt.grid()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make a Station ID row, so we can recognize the stations again." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sid = np.arange(len(survey))\n", "survey['SID'] = sid" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [], "source": [ "survey.to_file('data/survey_orig.shp')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Midpoint calculations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need midpoints. There is a midpoint between every source-receiver pair.\n", "\n", "Hopefully it's not too inelegant to get to the midpoints now that we're using this layout object thing." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "midpoint_list = [LineString([r, s]).interpolate(0.5, normalized=True)\n", " for r in rcvrs\n", " for s in srcs]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As well as knowing the (x,y) of the midpoints, we'd also like to record the distance from each *s* to each live *r* (each *r* in the live patch). This is easy enough to compute:\n", "\n", " Point(x1, y1).distance(Point(x2, y2))\n", " \n", "Then we can make a list of all the offsets when we count the midpoints into the bins. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [], "source": [ "offsets = [r.distance(s)\n", " for r in rcvrs\n", " for s in srcs]" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [], "source": [ "azimuths = [np.arctan((r.x - s.x)/(r.y - s.y))\n", " for r in rcvrs\n", " for s in srcs]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make a Geoseries of the midpoints, offsets and azimths:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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azimuthgeometryoffset
0-45.000000POINT (574975 4710025)70.710678
145.000000POINT (574975 4710075)70.710678
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311.309932POINT (574975 4710175)254.950976
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\n", "
" ], "text/plain": [ " azimuth geometry offset\n", "0 -45.000000 POINT (574975 4710025) 70.710678\n", "1 45.000000 POINT (574975 4710075) 70.710678\n", "2 18.434949 POINT (574975 4710125) 158.113883\n", "3 11.309932 POINT (574975 4710175) 254.950976\n", "4 8.130102 POINT (574975 4710225) 353.553391" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "midpoints = gpd.GeoDataFrame({'geometry': midpoint_list,\n", " 'offset': offsets,\n", " 'azimuth': np.degrees(azimuths),\n", " })\n", "\n", "midpoints[:5]" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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CF9qPQoumrQEAoTfq0fzxV/BI714AAKN9Ofr2boRRA83coU4P1+wkPNHJnGnN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\nXV25Lxxb2aNlJyN0as/PyDE6Fq3q8xeed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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = midpoints.plot(color='b')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Save to a shapefile if desired. " ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# midpoints.to_file('midpoints.shp')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spider plot" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "0 50\n", "1 50\n", "2 150\n", "3 250\n", "4 350\n", "Name: offsetx, dtype: float64" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "midpoints['offsetx'] = offsets * np.cos(azimuths)\n", "midpoints['offsety'] = offsets * np.sin(azimuths)\n", "midpoints[:5].offsetx # Easy!" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "574975.0" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "midpoints.ix[3].geometry.x # Less easy :(" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need lists (or arrays) to pass into the [matplotlib quiver plot](http://matplotlib.org/examples/pylab_examples/quiver_demo.html). This takes four main parameters: *x, y, u,* and *v*, where *x, y* will be our coordinates, and *u, v* will be the offset vector for that midpoint.\n", "\n", "We can get at the GeoDataFrame's attributes easily, but I can't see how to get at the coordinates in the geometry GeoSeries (seems like a user error — it feels like it should be really easy) so I am resorting to this: " ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "x = [m.geometry.x for i, m in midpoints.iterrows()]\n", "y = [m.geometry.y for i, m in midpoints.iterrows()]" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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8j3Q6TYr1dDrNfkcgECAtl+FwmPT3jcfjKBaLpLvPYDAgBWyv12N9uO/fv0+6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\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b7n0UNE1DLBbD/Pw8mXUU2tAej4cNFIVzoKZp5H3s7e1hY2MD4XCYJJfD4RCaphkW6xSE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\nNG2TZnlhG8EAfLDJxGdM5x0Tm+9Rq9VoaMik9wn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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,8))\n", "plt.quiver(x, y, midpoints.offsetx, midpoints.offsety, units='xy', width=0.5, scale=1/0.025, pivot='mid', headlength=0)\n", "plt.axis('equal')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bins" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The bins are a new geometry, related to but separate from the survey itself, and the midpoints. We will model them as a GeoDataFrame of polygons. The steps are:\n", "\n", "1. Compute the bin centre locations with our usual list comprehension trick.\n", "1. Buffer the centres with a square.\n", "1. Gather the buffered polygons into a GeoDataFrame." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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geometry
0POLYGON ((575050 4710000, 575000 4710000, 5750...
1POLYGON ((575050 4710050, 575000 4710050, 5750...
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" ], "text/plain": [ " geometry\n", "0 POLYGON ((575050 4710000, 575000 4710000, 5750...\n", "1 POLYGON ((575050 4710050, 575000 4710050, 5750...\n", "2 POLYGON ((575050 4710100, 574999.9999999995 47..." ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Factor to shift the bins relative to source and receiver points\n", "jig = si / 4.\n", "bin_centres = gpd.GeoSeries([Point(xmi + 0.5*r*ri + jig, ymi + 0.5*s*si + jig)\n", " for r in range(2*rperline - 3)\n", " for s in range(2*sperline - 2)\n", " ])\n", "\n", "# Buffers are diamond shaped so we have to scale and rotate them.\n", "scale_factor = np.sin(np.pi/4.)/2.\n", "bin_polys = bin_centres.buffer(scale_factor*ri, 1).rotate(-45)\n", "bins = gpd.GeoDataFrame(geometry=bin_polys)\n", "\n", "bins[:3]" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = bins.plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Spatial join" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thank you to Jake Wasserman and Kelsey Jordahl for this code snippet, and many pointers. \n", "\n", "This takes about 20 seconds to run on my iMac, compared to something close to 30 minutes for the old nested loops. " ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [], "source": [ "def bin_the_midpoints(bins, midpoints):\n", " b = bins.copy()\n", " m = midpoints.copy()\n", " reindexed = b.reset_index().rename(columns={'index':'bins_index'})\n", " joined = gpd.tools.sjoin(reindexed, m)\n", " bin_stats = joined.groupby('bins_index')['offset']\\\n", " .agg({'fold': len, 'min_offset': np.min})\n", " return gpd.GeoDataFrame(b.join(bin_stats))" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": true }, "outputs": [], "source": [ "bin_stats = bin_the_midpoints(bins, midpoints)" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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\n", "
" ], "text/plain": [ " geometry fold min_offset\n", "0 POLYGON ((575050 4710000, 575000 4710000, 5750... 1 70.710678\n", "1 POLYGON ((575050 4710050, 575000 4710050, 5750... 1 70.710678\n", "2 POLYGON ((575050 4710100, 574999.9999999995 47... 1 158.113883\n", "3 POLYGON ((575050 4710150, 575000 4710150, 5750... 1 254.950976\n", "4 POLYGON ((575050 4710200, 574999.9999999995 47... 1 353.553391\n", "5 POLYGON ((575050 4710250, 575000 4710250, 5750... 1 452.769257\n", "6 POLYGON ((575050 4710300, 575000 4710300, 5750... 2 552.268051\n", "7 POLYGON ((575050 4710350, 574999.9999999995 47... 2 552.268051\n", "8 POLYGON ((575050 4710400, 575000 4710400, 5750... 2 452.769257\n", "9 POLYGON ((575050 4710450, 574999.9999999995 47... 2 353.553391" ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bin_stats[:10]" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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rgCMy82e1vitksui/NmpmYWbRpm7bx8xigHoCmUWJ16hJTBajWIZaPMDXABdWjy8ETq4e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\nbRUAEVrmffUAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = bin_stats.plot(column=\"fold\")" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = bin_stats.plot(column=\"min_offset\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "## Dealing with the real world: moving stations" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "collapsed": false }, "outputs": [], "source": [ "new_survey = gpd.GeoDataFrame.from_file('data/adjusted.shp')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Join the old survey to the new, based on SID. " ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": false }, "outputs": [], "source": [ "complete = pd.merge(survey, new_survey[['geometry', 'SID']], how='outer', on='SID')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Rename the columns." ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "collapsed": false }, "outputs": [], "source": [ "complete.columns = ['geometry', 'station', 'SID', 'new_geometry']" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "ename": "NameError", "evalue": "name 'complete' is not defined", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mcomplete\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;36m18\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;36m23\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", "\u001b[0;31mNameError\u001b[0m: name 'complete' is not defined" ] } ], "source": [ "complete[18:23]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Calculate the distance each station has moved. We have to use `GeoSeries` to do this, and everything was transformed to ordinary `Series` when we did the join." ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false }, "outputs": [], "source": [ "old = gpd.GeoSeries(complete.geometry)\n", "new = gpd.GeoSeries(complete['new_geometry'])\n", "\n", "complete['skid'] = old.distance(new)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " geometry station SID \\\n", "15 POINT (576450 4710050) r 15 \n", "16 POINT (576550 4710050) r 16 \n", "17 POINT (576650 4710050) r 17 \n", "18 POINT (576750 4710050) r 18 \n", "19 POINT (576850 4710050) r 19 \n", "\n", " new_geometry skid \n", "15 POINT (576450 4710050) 0.000000 \n", "16 POINT (576550 4710050) 0.000000 \n", "17 POINT (576650 4710050) 0.000000 \n", "18 POINT (576750 4710050) 0.000000 \n", "19 POINT (576879.571706684 4710079.571706683) 41.820709 " ] }, "execution_count": 31, "metadata": {}, "output_type": "execute_result" } ], "source": [ "complete[15:20]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have the new geometry, we can recompute everything, this time from the dataframe rather than from lists.\n", "\n", "First the midpoints." ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/matt/anaconda/lib/python3.4/site-packages/pandas/core/frame.py:1825: UserWarning: Boolean Series key will be reindexed to match DataFrame index.\n", " \"DataFrame index.\", UserWarning)\n" ] } ], "source": [ "rcvrs = complete[complete['station']=='r'][complete['new_geometry'].notnull()]['new_geometry']\n", "srcs = complete[complete['station']!='r'][complete['new_geometry'].notnull()]['new_geometry']\n", "\n", "midpoint_list = [LineString([r, s]).interpolate(0.5, normalized=True)\n", " for r in rcvrs\n", " for s in srcs]" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "124" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(srcs)" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "collapsed": true }, "outputs": [], "source": [ "offsets = [r.distance(s)\n", " for r in rcvrs\n", " for s in srcs]" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "collapsed": true }, "outputs": [], "source": [ "azimuths = [np.arctan((r.x - s.x)/(r.y - s.y))\n", " for r in rcvrs\n", " for s in srcs]" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "collapsed": false }, "outputs": [], "source": [ "new_midpoints = gpd.GeoDataFrame({'geometry': midpoint_list,\n", " 'offset': offsets,\n", " 'azimuth': np.degrees(azimuths),\n", " })" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can fill the bins and get the statistics." ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [], "source": [ "new_stats = bin_the_midpoints(bins, new_midpoints).fillna(-1)" ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "new_stats.plot(column=\"fold\", figsize=(12,8))\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A quick diff shows how the fold has changed." ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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qW096z1Oq6tNV9ZMzx04MTW323/dVw/GvHO53d1W9q6r+3sx7XlZVdw1f/3ys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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "new_stats['diff'] = bin_stats.fold - new_stats.fold\n", "new_stats.plot(column=\"diff\", figsize=(12,8))\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# new_stats.to_file('data/new_stats.shp')" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false }, "source": [ "
\n", "

© 2015 Agile GeoscienceCC-BY — Have fun!   

" ] } ], "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 }