地震正演数值模拟完全匹配层吸收边界条件研究综述

An overview of research on perfectly matched layers absorbing boundary condition of seismic forward numerical simulation

由于对边界反射具有优秀的吸收效果,完全匹配层(Perfectly Matched Layer,PML)吸收边界条件自被提出就受到了广泛的关注和研究,并发展成为地震正演数值模拟中应用最广泛的边界条件.随着地震正演数值模拟技术的发展,对PML边界条件的研究取得了显著的进展,发展形成了多种PML边界条件,并在声波、弹性波等多种方程的地震正演数值模拟中得到了广泛的应用,取得了良好的效果.但是,对于该领域涌现出的大量的研究成果,缺少系统总结的综述性文献.为此,本文归纳梳理了近年来PML边界条件在地震正演数值模拟领域的研究和应用成果,分阶段地概述了PML边界条件的发展进程.最后讨论总结了各种方法的异同之处,并对地震正演数值模拟领域中PML边界条件的研究方向进行了展望.

Thanks to the excellent effect of absorbing boundary reflection, Perfectly Matched Layer（PML） absorbing boundary conditions（ABC）are widely concerned and studied since it was presented.It has been the most popular boundary conditions in seismic forward modeling numerical simulation.Along with the development of seismic forward modeling,significant progress on theory and application of PML ABC has been made.Many kinds of PML formulations were developed,and were widely applied to seismic forward modeling numerical simulation with acoustic wave equation,elastic wave equation,etc.Although there was a large quantity of research paper published,but less literature on systemic summary came forth.In this paper,research achievement and applications of PML ABCs in field of seismic forward numerical simulation are summarized and classified,with development course divided into serveral stages. Similarities and differences between various PML formulations are discussed,and the future trend of research in PML ABC in seismic forward modeling is prospected.