PML边界条件应用于最优近似解析离散化地震波场模拟方法

PML boundary conditions applied to the optimal approximate analytical discrete seismic wave field simulation method

近似解析离散化方法(NADM)是一种新的地震波数值模拟方法,由清华大学杨顶辉教授提出并发展起来.该方法不仅吸收了传统离散的数值方法的基本思想,而且加入了解析数学的思想.介绍了近似解析离散化方法及其最优改进法(ONADM)基本思路,再利用最优的近似解析离散化方法(ONADM)并结合完全匹配边界条件(PML)做了一维、二维声波和弹性波的波场模拟试验,证明了这种边界条件应用于ONADM方法的有效性,同时能提高波场模拟的数值精度.

Nearly Analytic Discrete Method(NADM) is a new numerical simulation method.It was brought and developed by Prof.Yang in Tsinghua University.Not only this method absorbs the idea of traditional simulation method,but also it combines some new math idea.This thesis sets out the idea of NADM and ONADM with emphasis.We complete modeling experiment in 1 D and 2 D medium with PML.It is proved that this boundary condition is effective for ONADM method and can improve the numerical accuracy of wave field simulation.