diff --git a/normal_fault/normal_fault_component_tutorial.ipynb b/normal_fault/normal_fault_component_tutorial.ipynb new file mode 100644 index 0000000..114da70 --- /dev/null +++ b/normal_fault/normal_fault_component_tutorial.ipynb @@ -0,0 +1,668 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Introduction to the NormalFault component\n", + "\n", + "This tutorial provides an introduction to the `NormalFault` component in the Landlab toolkit. This component takes the following parameters. \n", + "\n", + " Parameters\n", + " --------\n", + " grid : ModelGrid\n", + " faulted_surface : str or ndarray of shape `(n_nodes, )` or list of str\n", + " or ndarrays. \n", + " Surface that is modified by the NormalFault component. Can be a\n", + " field name or array or a list of strings or ndarrays if the fault.\n", + " should uplift more than one field. Default value is \n", + " `topographic__elevation`.\n", + " fault_throw_rate_through_time : dict, optional\n", + " Dictionary that specifies the time varying throw rate on the fault.\n", + " Expected format is:\n", + " ``fault_throw_rate_through_time = {'time': array, 'rate': array}``\n", + " Default value is a constant rate of 0.001 (units not specified).\n", + " fault_dip_angle : float, optional\n", + " Dip angle of the fault in degrees. Default value is 90 degrees.\n", + " fault_trace : dictionary, optional\n", + " Dictionary that specifies the coordinates of two locations on the\n", + " fault trace. Expected format is\n", + " ``fault_trace = {'x1': float, 'y1': float, 'x2': float, 'y2': float}``\n", + " where the vector from ``(x1, y1)`` to ``(x2, y2)`` defines the\n", + " strike of the fault trace. The orientation of the fault dip relative\n", + " to the strike follows the right hand rule.\n", + " Default is for the fault to strike NE.\n", + " include_boundaries : boolean, optional\n", + " Flag to indicate if model grid boundaries should be uplifted. If\n", + " set to ``True`` uplifted model grid boundaries will be set to the\n", + " average value of their upstream nodes. Default value is False.\n", + "\n", + "\n", + "The `NormalFault` component will divide the model domain into two regions, a 'faulted nodes' region which will experience vertical rock uplift at a rate of \n", + "\n", + "$t * sin (d)$\n", + "\n", + "where $t$ is the fault throw rate and $d$ is the fault dip angle. \n", + "\n", + "While dip angles less than 90 degrees are permitted, in its present implementation, the `NormalFault` component does not translate field information laterally. \n", + "\n", + "The fault orientation is specified by two coordinate pairs (x1, y1) and (x2, y2). The strike of the fault, specivied with the right hand rule convention is the vector from (x1, y1) to (x2, y2). Give that this component creates a normal fault, in which the footwall moves up relative to the hanging wall, this means that the nodes that are counterclockwise from the strike are the uplifted nodes. \n", + "\n", + "To start, lets import necessary landlab and python modules. " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# start by importing necessary modules \n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "\n", + "%matplotlib inline\n", + "from landlab import RasterModelGrid, HexModelGrid\n", + "from landlab.components import NormalFault, FastscapeEroder, FlowAccumulator, StreamPowerEroder\n", + "from landlab.plot import imshow_grid " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "First we will make a default `NormalFault`." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAATsAAAEKCAYAAABt+vLPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n2ZlZKfx/ufrKqHV++AEAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "grid = RasterModelGrid((6, 6), spacing=10)\n", + " \n", + "_ = grid.add_zeros('node', 'topographic__elevation')\n", + "\n", + "nf = NormalFault(grid) \n", + "\n", + "plt.figure() \n", + "imshow_grid(grid, nf.faulted_nodes, cmap='viridis')\n", + "plt.plot(grid.x_of_node, grid.y_of_node, 'c.')\n", + "plt.plot([nf.fault_trace['x1'], nf.fault_trace['x2']],\n", + " [nf.fault_trace['y1'], nf.fault_trace['y2']], 'r')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + " This fault has a strike of NE and dips to the SE. Thus the uplifted nodes (shown in yellow) are in the NW half of the domain. \n", + "\n", + "The default `NormalFault` will not uplift the boundary nodes. We can set this functionality on by using the keyword argument `include_boundaries`. If this is specified, the elevation of the boundary nodes is cacluated as an average of the faulted nodes adjacent to the boundaries. This occurs because most landlab erosion components do not operate on boundary nodes. " + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAATsAAAEKCAYAAABt+vLPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "nf = NormalFault(grid, include_boundaries=True) \n", + "\n", + "plt.figure() \n", + "imshow_grid(grid, nf.faulted_nodes, cmap='viridis')\n", + "plt.plot(grid.x_of_node, grid.y_of_node, 'c.')\n", + "plt.plot([nf.fault_trace['x1'], nf.fault_trace['x2']],\n", + " [nf.fault_trace['y1'], nf.fault_trace['y2']], 'r')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can add functionality to the `NormalFault` with other keyword arguments. We can change the fault strike and dip, as well as specify a time series of fault uplift through time. " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAADxCAYAAADbaUyMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "grid = RasterModelGrid((60, 100), spacing=10)\n", + "z = grid.add_zeros('node', 'topographic__elevation')\n", + "\n", + "nf = NormalFault(grid, fault_trace = {'x1': 0,\n", + " 'y1': 200, \n", + " 'y2': 30, \n", + " 'x2': 600})\n", + "\n", + "imshow_grid(grid, nf.faulted_nodes, cmap='viridis') " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "By reversing the order of (x1, y1) and (x2, y2) we can reverse the location of the upthrown nodes (all else equal). " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAADxCAYAAADbaUyMAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ntEQCekRESySgR0S0xP8HjZcvWst5MegAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "grid = RasterModelGrid((60, 100), spacing=10)\n", + "z = grid.add_zeros('node', 'topographic__elevation')\n", + "\n", + "nf = NormalFault(grid, fault_trace = {'y1': 30, \n", + " 'x1': 600,\n", + " 'x2': 0,\n", + " 'y2': 200})\n", + "\n", + "imshow_grid(grid, nf.faulted_nodes, cmap='viridis') " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also specify complex time-rock uplift rate histories, but we'll explore that later in the tutorial. \n", + "\n", + "Next let's make a landscape evolution model with a normal fault. Here we'll use a HexModelGrid to highlight that we can use both raster and non-raster grids with this component. \n", + "\n", + "We will do a series of three numerical experiments and will want to keep a few parameters constant. Since you might want to change them, we are making it easier to change all of them together. They are defined in the next block:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# here are the parameters to change\n", + "K = 0.0005 # stream power coefficient, bigger = streams erode more quickly\n", + "U = 0.0001 # uplift rate in meters per year\n", + "\n", + "dt = 1000 # time step in years\n", + "dx = 10 # space step in meters\n", + "\n", + "nr = 60 # number of model rows\n", + "nc = 100 # number of model columns" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXEAAADxCAYAAAA9QIfIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nqZR4JZVUUskSlkqJV1JJJZUsYfl/SGv03JScGE0AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# instantiate the grid\n", + "grid = HexModelGrid(nr, nc, dx=dx, shape='rect')\n", + "\n", + "# add a topographic__elevation field with noise\n", + "z = grid.add_zeros('node', 'topographic__elevation')\n", + "z[grid.core_nodes] += 100.0 + np.random.randn(grid.core_nodes.size)\n", + "\n", + "fr = FlowAccumulator(grid)\n", + "fs = FastscapeEroder(grid, K_sp=K)\n", + "nf = NormalFault(grid, fault_trace={'x1': 0, 'x2': 800, 'y1': 0, 'y2': 500})\n", + "\n", + "#Run this model for 300 100-year timesteps (30,000 years). \n", + "for i in range(300):\n", + " nf.run_one_step(dt)\n", + " fr.run_one_step()\n", + " fs.run_one_step(dt)\n", + " z[grid.core_nodes] += 0.0001 * dt\n", + "\n", + "# plot the final topography\n", + "imshow_grid(grid, z) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As we can see, the upper left portion of the grid has been uplifted an a stream network has developed over the whole domain. \n", + "\n", + "How might this change when we also uplift the boundaries nodes?" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXEAAADxCAYAAAA9QIfIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nxgg9AAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# instantiate the grid\n", + "grid = HexModelGrid(nr, nc, dx=10, shape='rect')\n", + "\n", + "# add a topographic__elevation field with noise\n", + "z = grid.add_zeros('node', 'topographic__elevation')\n", + "z[grid.core_nodes] += 100.0 + np.random.randn(grid.core_nodes.size)\n", + "\n", + "fr = FlowAccumulator(grid)\n", + "fs = FastscapeEroder(grid, K_sp=K)\n", + "nf = NormalFault(grid, fault_trace={'x1': 0, 'x2': 800, 'y1': 0, 'y2': 500}, include_boundaries=True)\n", + "\n", + "#Run this model for 300 100-year timesteps (30,000 years). \n", + "for i in range(300):\n", + " nf.run_one_step(dt)\n", + " fr.run_one_step()\n", + " fs.run_one_step(dt)\n", + " z[grid.core_nodes] += U * dt\n", + " \n", + "# plot the final topography\n", + "imshow_grid(grid, z) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can see that when the boundary nodes are not included the faulted region is impacted by the edge boundary conditions differently. Depending on your application, one of these boundary condition options may suite your problem better. \n", + "\n", + "Note here that non-raster grids plotted with landlab do not typically show the alue of \n", + "\n", + "The last thing to explore is the use of the `fault_rate_through_time` parameter. This allows us to specify generic fault throw rate histories. For example, consider this history, in which every 100,000 years there is a 10,000 year period in which the fault is active. \n" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZIAAAEKCAYAAAA4t9PUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTiRmZtYSJxIzM2vJfwFZzOarU8gCDQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "time = np.array([0.0, 7.99, 8.00, 8.99, 9.0, 17.99, 18.0, 18.99, 19.0, 27.99, 28.00, 28.99, 29.0]) * 10*dt\n", + "rate = np.array([0, 0, 0.01, 0.01, 0, 0, 0.01, 0.01, 0, 0, 0.01,0.01, 0])\n", + "\n", + "plt.figure()\n", + "plt.plot(time, rate)\n", + "plt.plot([0, 300*dt], [0.001, 0.001])\n", + "plt.xlabel('Time [years]')\n", + "plt.ylabel('Fault Throw Rate [m/yr]')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The default value for uplift rate is 0.001 (units unspecified as it will depend on the x and t units in a model). \n", + "\n", + "This will result in a total of 300 m of fault throw over the 300,000 year model time period. This amount of uplift can also be accommodated by faster fault motion that occurs over shorter periods of time. \n", + "\n", + "Next we plot the cumulative fault throw for the two cases. " + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEKCAYAAADn+anLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEsYYYwKyJmGMMSag/weXe3FW+leNugAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "t = np.arange(0, 300*dt, dt)\n", + "rate_constant = np.interp(t, [0, 300*dt], [0.001, 0.001])\n", + "rate_variable = np.interp(t, time, rate)\n", + "\n", + "cumulative_rock_uplift_constant = np.cumsum(rate_constant)*dt\n", + "cumulative_rock_uplift_variable = np.cumsum(rate_variable)*dt\n", + "\n", + "plt.figure()\n", + "plt.plot(t, cumulative_rock_uplift_constant)\n", + "plt.plot(t, cumulative_rock_uplift_variable)\n", + "plt.xlabel('Time [years]')\n", + "plt.ylabel('Cumulative Fault Throw [m]')\n", + "plt.show()\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A technical note: Beyond the times specified, the internal workings of the `NormalFault` will use the final value provided in the rate array. \n", + "\n", + "Lets see how this changes the model results. " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXEAAADxCAYAAAA9QIfIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# instantiate the grid\n", + "grid = HexModelGrid(nr, nc, dx=10, shape='rect')\n", + "\n", + "# add a topographic__elevation field with noise\n", + "z = grid.add_zeros('node', 'topographic__elevation')\n", + "z[grid.core_nodes] += 100.0 + np.random.randn(grid.core_nodes.size)\n", + "\n", + "fr = FlowAccumulator(grid)\n", + "fs = FastscapeEroder(grid, K_sp=K)\n", + "nf = NormalFault(grid, fault_throw_rate_through_time={'time': time, 'rate': rate},\n", + " fault_trace={'x1': 0, 'x2': 800, 'y1': 0, 'y2': 500}, \n", + " include_boundaries=True)\n", + "\n", + "#Run this model for 300 100-year timesteps (30,000 years). \n", + "for i in range(300):\n", + " nf.run_one_step(dt)\n", + " fr.run_one_step()\n", + " fs.run_one_step(dt)\n", + " z[grid.core_nodes] += U * dt\n", + " \n", + "# plot the final topography\n", + "imshow_grid(grid, z) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As you can see the resulting topography is very different than in the case with continuous uplift. \n", + "\n", + "For our final example, we'll use `NormalFault` with a more complicated model in which we have both a soil layer and bedrock. In order to move, material must convert from bedrock to soil by weathering.\n", + "\n", + "First we import remaining modules and set some parameter values" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "from landlab.components import ExponentialWeatherer, ExponentialWeatherer, DepthDependentDiffuser\n", + "\n", + "# here are the parameters to change\n", + "K = 0.0005 # stream power coefficient, bigger = streams erode more quickly\n", + "U = 0.0001 # uplift rate in meters per year\n", + "max_soil_production_rate = 0.001 # Maximum weathering rate for bare bedrock in meters per year\n", + "soil_production_decay_depth = 0.7 # Characteristic weathering depth in meters\n", + "linear_diffusivity = 0.01 # Hillslope diffusivity and m2 per years\n", + "soil_transport_decay_depth = 0.5 # Characteristic soil transport depth in meters\n", + "\n", + "dt = 100 # time step in years\n", + "dx = 10 # space step in meters\n", + "\n", + "nr = 60 # number of model rows\n", + "nc = 100 # number of model columns\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next we create the grid and run the model. " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXEAAADxCAYAAAA9QIfIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nvog7HA5HF+P/BwZp16RtGVlSAAAAAElFTkSuQmCC\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# instantiate the grid\n", + "grid = RasterModelGrid(nr, nc, dx=10, shape='rect')\n", + "\n", + "# add a topographic__elevation field with noise\n", + "z = grid.add_zeros('node', 'topographic__elevation')\n", + "z[grid.core_nodes] += 100.0 + np.random.randn(grid.core_nodes.size)\n", + "\n", + "# create a field for soil depth\n", + "d = grid.add_zeros('node', 'soil__depth')\n", + "\n", + "# create a bedrock elevation field\n", + "b = grid.add_zeros('node', 'bedrock__elevation')\n", + "b[:] = z - d\n", + "\n", + "\n", + "fr = FlowAccumulator(grid, depression_finder='DepressionFinderAndRouter', routing='D4')\n", + "fs = FastscapeEroder(grid, K_sp=K)\n", + "ew = ExponentialWeatherer(grid, \n", + " soil_production_decay_depth=soil_production_decay_depth, \n", + " max_soil_production_rate=max_soil_production_rate)\n", + "\n", + "dd = DepthDependentDiffuser(grid, \n", + " linear_diffusivity=linear_diffusivity, \n", + " soil_transport_decay_depth=soil_transport_decay_depth)\n", + "\n", + "nf = NormalFault(grid, \n", + " fault_throw_rate_through_time={'time': [0, 30], 'rate': [0.001, 0.001]},\n", + " fault_trace={'x1': 0, 'x2': 800, 'y1': 0, 'y2': 500}, \n", + " include_boundaries=False)\n", + "\n", + "#Run this model for 300 100-year timesteps (30,000 years). \n", + "for i in range(300):\n", + " \n", + " # Move normal fault\n", + " nf.run_one_step(dt)\n", + "\n", + " # Route flow\n", + " fr.run_one_step()\n", + "\n", + " # Erode with water\n", + " fs.run_one_step(dt)\n", + "\n", + " # We must also now erode the bedrock where relevant. If water erosion\n", + " # into bedrock has occurred, the bedrock elevation will be higher than\n", + " # the actual elevation, so we simply re-set bedrock elevation to the\n", + " # lower of itself or the current elevation.\n", + " b = grid.at_node['bedrock__elevation']\n", + " b[:] = np.minimum(b, grid.at_node['topographic__elevation'])\n", + "\n", + " # Calculate regolith-production rate\n", + " ew.calc_soil_prod_rate()\n", + "\n", + " # Generate and move soil around. This component will update both the\n", + " # soil thickness and topographic elevation fields. \n", + " dd.run_one_step(dt)\n", + "\n", + " # uplift the whole domain, we need to do this to both bedrock and topography\n", + " z[grid.core_nodes] += U * dt\n", + " b[grid.core_nodes] += U * dt\n", + " \n", + "\n", + "# plot the final topography\n", + "imshow_grid(grid, 'topographic__elevation') " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can also examine the soil thickness and soil production rate. Here in the soil depth, we see it is highest along the ridge crests. " + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAWsAAADxCAYAAAANzJbpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# and the soil depth\n", + "imshow_grid(grid, 'soil__depth', cmap='viridis') " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The soil production rate is highest where the soil depth is low, as we would expect given the exponential form. " + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYcAAADvCAYAAAAZzhj9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# and the soil production rate\n", + "imshow_grid(grid, 'soil_production__rate', cmap='viridis') " + ] + } + ], + "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": "3.6.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}