{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "Lista 3 Grav.ipynb", "provenance": [] }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "code", "execution_count": 2, "metadata": { "id": "NEndiUDxwCyr" }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "source": [ "xm=20*1000 #m\n", "dx=0.1\n", "x=np.arange(-xm,xm,dx)\n", "rho=200\n", "G=6.67E-11\n", "h=800 #m\n", "z0=4000\n", "g=G*rho*h*(np.pi/2+np.arctan(x/z0))*10**5\n", "plt.plot(x,g)\n", "plt.xlabel(\"Comprimento na direção x (m)\")\n", "plt.ylabel(\"Anomalia gravitacional(mGal)\")\n", "plt.title(\"1- Modelo original\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 313 }, "id": "GOKaA91OwLrN", "outputId": "2c73391f-2e34-426d-f46a-c10b4cbcb53a" }, "execution_count": 10, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "Text(0.5, 1.0, '1- Modelo original')" ] }, "metadata": {}, "execution_count": 10 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "xm=20*1000 #m\n", "dx=1\n", "x=np.arange(-xm,xm,dx)\n", "rho=200\n", "G=6.67E-11\n", "h=800 #m\n", "z0=4000\n", "z1=2000\n", "z2=5000\n", "g0=G*rho*h*(np.pi/2+np.arctan(x/z0))\n", "g1=G*rho*h*(np.pi/2+np.arctan(x/z1))\n", "g2=G*rho*h*(np.pi/2+np.arctan(x/z2))\n", "plt.plot(x,g0*10E5,label=\"4km\")\n", "plt.plot(x,g1*10E5,label=\"2km\")\n", "plt.plot(x,g2*10E5,label=\"5km\")\n", "plt.legend()\n", "plt.xlabel(\"Comprimento na direção x (m)\")\n", "plt.ylabel(\"Anomalia gravitacional(mGal)\")\n", "plt.title(\"1.a- Variação da profundidade\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 313 }, "id": "xgflm57w1LXS", "outputId": "b3e12ad7-c26d-4535-cdf6-a1e1d71acea5" }, "execution_count": 9, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "Text(0.5, 1.0, '1.a- Variação da profundidade')" ] }, "metadata": {}, "execution_count": 9 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "xm=20*1000 #m\n", "dx=0.1\n", "x=np.arange(-xm,xm,dx)\n", "rho0=200\n", "rho1=100\n", "rho2=300\n", "G=6.67E-11\n", "h=800 #m\n", "z0=4000\n", "g0=G*rho0*h*(np.pi/2+np.arctan(x/z0))*10**5\n", "g1=G*rho1*h*(np.pi/2+np.arctan(x/z0))*10**5\n", "g2=G*rho2*h*(np.pi/2+np.arctan(x/z0))*10**5\n", "plt.xlabel(\"Comprimento na direção x (m)\")\n", "plt.ylabel(\"Anomalia gravitacional(mGal)\")\n", "plt.plot(x,g0,label=\"200 kg/m3\")\n", "plt.plot(x,g1,label=\"100 kg/m3\")\n", "plt.plot(x,g2,label=\"300 kg/m3\")\n", "plt.legend()\n", "plt.title(\"1.b- Variação do contraste de densidade\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 313 }, "id": "mIq3nGUY3jc1", "outputId": "f5a34fe4-50f2-4c1d-9a14-c8d96a6a268a" }, "execution_count": 5, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "Text(0.5, 1.0, '1.b- Variação do contraste de densidade')" ] }, "metadata": {}, "execution_count": 5 }, { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "code", "source": [ "xm=20*1000 #m\n", "dx=0.1\n", "x=np.arange(-xm,xm,dx)\n", "rho=200\n", "G=6.67E-11\n", "h0=800 #m\n", "h1=500\n", "h2=1200\n", "z0=4000\n", "g0=G*rho*h0*(np.pi/2+np.arctan(x/z0))*10**5\n", "g1=G*rho*h1*(np.pi/2+np.arctan(x/z0))*10**5\n", "g2=G*rho*h2*(np.pi/2+np.arctan(x/z0))*10**5\n", "plt.plot(x,g0,label=\"h=0,8km\")\n", "plt.plot(x,g1,label=\"h=0,5km\")\n", "plt.plot(x,g2,label=\"h=1,2km\")\n", "plt.xlabel(\"Comprimento na direção x (m)\")\n", "plt.ylabel(\"Anomalia gravitacional(mGal)\")\n", "plt.legend()\n", "plt.title(\"1.c - Variação da espessura da falha\")" ], "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 313 }, "id": "7VcaL4V44mYj", "outputId": "d2e55cce-4777-4eed-bd38-619ee9a786cd" }, "execution_count": 6, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "Text(0.5, 1.0, '1.c - Variação da espessura da falha')" ] }, "metadata": {}, "execution_count": 6 }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": { "needs_background": "light" } } ] }, { "cell_type": "markdown", "source": [ "1.d) No primeiro caso, quando variamos a profundidade vemos a curva do contraste de aceleração da gravidade ficar mais \"suave\" quanto mais profunda a falha, e abrupta quanto mais rasa. Todas as curvas se cruzam sobre a posição do centro da falha.\n", "\n", "No segundo caso, quanto maior o contraste de densidade, maiores são os valores da anomalia gravitacional..\n", "\n", "No terceiro caso, quanto maior a espessura da falha, maiores são os valores da anomalia da gravidade. A variação de diferentes parâmetros (contraste de densidade e espessura da falha) causam a mesma variação na curva de anomalia gravitacional, isto é, são ambíguas.\n" ], "metadata": { "id": "Qj0GRAj75mD6" } } ] }