物理
波传播
地震波
各向同性
波动方程
背景(考古学)
平面波
偏微分方程
领域(数学分析)
数值分析
主题(文档)
数学分析
计算机科学
地球物理学
光学
数学
地质学
量子力学
古生物学
图书馆学
作者
Gabriela Landinez,Santiago Rueda,F. D. Lora-Clavijo
标识
DOI:10.1088/1361-6404/ac18cf
摘要
In geophysics, wave propagation in elastic media is a crucial subject. In this context, seismology has made significant progress as a result of numerous advances, among these stands out the advancement of numerical methods such as the finite-difference one. Usually, seismic wave propagation in elastic media results in complex systems of partial differential equations, whose solutions cannot be obtained in an analytical way, especially when dealing with heterogeneous media. In consequence, there exists a necessity to implement numerical methods. However, the available information about the construction of a numerical solution of these equations is not as explicit as it should be. Our main goal is to provide pedagogical instructions for undergraduate students who want to improve their computational skills as well as their knowledge of the subject. The last through current teaching methods involving challenging problems and transversal tools. Particularly, we provide a brief description of the equations and a detailed description of the numerical solution of the seismic wave equation. Furthermore, we model two different seismic explosive sources in both homogeneous and heterogeneous media as an illustrative example. In the results, we include velocity maps showing wave propagation in the x-z plane, and the z-velocity as a function of time measured in a series of detectors distributed in the numerical domain.
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