波动方程时空域有限差分数值解及吸收边界条件研究进展  

Research progress on time-space domain finitedifference numerical solution and absorption boundary conditions of wave equation

作　　者：刘洋[1,2] 

机构地区：[1]中国石油大学(北京)油气资源与探测国家重点实验室,北京102249 [2]中国石油大学(北京)CNPC物探重点实验室,北京102249

出　　处：《石油地球物理勘探》2014年第1期35-46,300,共12页Oil Geophysical Prospecting

基　　金：国家自然科学基金项目(41074100);教育部新世纪优秀人才支持计划项目(NCET-10-0812)联合资助

摘　　要：波动方程数值解是波动方程正演、逆时偏移和全波形反演的核心技术之一。本文对波动方程数值求解的有限差分技术和吸收边界条件进行了分析,重点总结了基于时空域频散关系的有限差分、自适应可变空间算子长度有限差分、优化有限差分及混合吸收边界条件等方法,介绍了这些方法在逆时偏移和波形反演中的应用。Numerical solution of the wave equation is one of core technologies for wave equation forward modeling,reverse time migration and full waveform inversion.In this paper,I review finite difference for numerical solution of wave equation and absorption boundary conditions,and discuss the hybrid absorption boundary conditions and different finite difference methods such as the time-space domain dispersion-relation-based finite difference, the adaptive variable-length spatial finite difference,the optimized finite difference.The paper introduces applications and progresses of these methods in reverse time migration and waveform inversion.

关 键 词：波动方程 时空域有限差分 吸收边界条件 研究进展 

分 类 号：P631[天文地球—地质矿产勘探]