基于有限差分法的地震波数值模拟研究综述

摘要

针对有限差分算法在进行地震波数值模拟过程中的模拟精度问题,在进行广泛文献调研后,分析了国内外关于提高有限差分法模拟精度的进展研究,主要包括提高有限差分的阶数及改进离散方式2方面.论述了有限差分法与其他数值模拟方法的优缺点,指出了有限差分法具有占用内存小、计算量小且易于实现等诸多优点,并总结了有限差分法在进行数值模拟过程中存在的主要问题,包括震源函数、边界条件、频散问题以及稳定性分析.同时指出了有限差分法在地震波场模拟应用中的发展趋势.%Aiming at the problem of simulation accuracy of finite difference algorithm in the process of seismic wave numerical simulation,the progress of research on how to improve the precision of finite difference method was analyzed after extensive literature research,which mainly includes improving the order of finite difference and improving the discrete mode.The advantages and disadvantages of the finite difference method and other numerical simulation methods were discussed.It was pointed out that the finite difference method has many advantages such as small memory,small computation and easy implementation,and summarized the main problems existing in the numerical simulation process,including the source function,boundary conditions,dispersion problems and stability analysis.At the same time,the development trend of finite difference method in seismic wave field simulation was put forward.