{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "**Course website**: http://lagex.github.io/geofisica2\n", "\n", "**Note**: This notebook is part of the course \"Geofísica 2\" of Geology program of the \n", "[Universidade do Estado do Rio de Janeiro](http://www.uerj.br/). \n", "All content can be freely used and adapted under the terms of the \n", "[Creative Commons Attribution 4.0 International License](http://creativecommons.org/licenses/by/4.0/).\n", "\n", "![Creative Commons License](https://i.creativecommons.org/l/by/4.0/88x31.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Esse documento que você está usando é um [IPython notebook](http://ipython.org/notebook.html). É um documento interativo que mistura texto (como esse), código (como abaixo), e o resultado de executar o código (que pode ser números, texto, figuras, videos, etc)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Prática 3 - Ondas de superfície\n", "\n", "Vamos utilizar as simulações de ondas da biblioteca [Fatiando a Terra](http://www.fatiando.org). Essas simulações utilizam o [método de diferenças finitas](http://en.wikipedia.org/wiki/Finite_difference_method) para calcular soluções da equação da onda.\n", "\n", "As tarefas abaixo acompanham as questões que vocês devem responder. Usem as simulações abaixo para te ajudar a responder as perguntas." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Preparação\n", "\n", "Rode a célula abaixo para carregar as componentes necessárias para fazer as simulações. Não se preocupe se aparecer um `:0: FutureWarning: IPython widgets are experimental and may change in the future.` abaixo. Isso é consequência de utilizar tecnologia de ponta." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ":0: FutureWarning: IPython widgets are experimental and may change in the future.\n" ] } ], "source": [ "%matplotlib inline\n", "from __future__ import division\n", "import numpy as np\n", "from fatiando import utils\n", "from fatiando.seismic.wavefd import Ricker, ElasticPSV, ElasticSH\n", "from fatiando.vis import mpl\n", "import fatiando" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.3-219-gb6b00ac\n" ] } ], "source": [ "print(fatiando.__version__)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Ondas Love" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "shape = (300, 1000)\n", "spacing = 500\n", "extent = [0, shape[1]*spacing, shape[0]*spacing, 0]\n", "densidade = np.ones(shape)*2600\n", "velocidade = np.ones(shape)*4000\n", "l1 = 40e3//spacing\n", "densidade[l1:,:] = 3500\n", "velocidade[l1:,:] = 5000" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Agora vamos criar o nosso simulador de ondas." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sim1 = ElasticSH(velocidade, densidade, spacing=spacing, taper=0.005)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "e colocar uma fonte explosiva na superfície." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "sim1.add_point_source((20e3//spacing, 50e3//spacing), Ricker(5, 1, 1))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Agora que temos nossa simulação pronta, rode a célcula abaixo para avançar a simulação 400 passos no tempo." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "|##################################################|100% Ran 2000 iterations in 100.698 seconds." ] } ], "source": [ "sim1.run(2000)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/html": [ "\n", " " ], "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sim1.animate(every=20, embed=True, dpi=50, cutoff=0.5)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": [ "iVBORw0KGgoAAAANSUhEUgAAAdUAAACkCAYAAADBsLQnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\n", "AAAKwwAACsMBNCkkqwAAIABJREFUeJzt3Xlc1HX+wPHXDMOlgAqh4pWVHAoIeJIHgpIX6UpSHq1J\n", "qaVbmpWsmbVW+0srtcMrW7WytkOtVtPMo10VTc0jEcUjM8UDQkGR+5zv748vM87AAANxqe/n4zEP\n", 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