石油物探2017，Vol.56Issue(3)：349-361,13.DOI:10.3969/j.issn.1000-1441.2017.03.005
TTI介质声波方程分裂式PML吸收边界条件研究
The research on split PML absorbing boundary conditions of acoustic equation for TTI media
摘要
Abstract
We study split perfectly matched layer (SPML) absorbing boundary conditions for TTI media based on the characteristics of TTI media acoustic wave equation.We firstly summarize several common TTI media acoustic wave equations and compare these wave equations in detail from the perspective of wavefield propagation stability for TTI media.We conclude that the TTI acoustic approximation equation introduced SV-wave component is applicable for TTI media.Then we derive the TTI media first-order acoustic wave equation based on the SPML boundary condition from the TTI P-wave and SV-wave coupled second-order wave equation.Afterwards we give the concrete implementation method for high-order staggered-grid finite-difference algorithm.The numerical modeling examples show that the SPML boundary condition can absorb the artificial boundary reflection very well.The boundary reflection absorbing effect of the proposed SPML algorithm is much better compared with the optimal sponge boundary condition.关键词
TTI介质/分裂式完全匹配层/纵横波耦合方程/一阶波动方程/高阶交错网格有限差分Key words
TTI media/split perfectly matched layer/P-wave and SV-wave coupled equation/first-order wave equation/high-order staggered-grid finite-difference分类
天文与地球科学引用本文复制引用
张衡,刘洪,李博,丁仁伟,李丽青,李福元..TTI介质声波方程分裂式PML吸收边界条件研究[J].石油物探,2017,56(3):349-361,13.基金项目
国家自然科学基金项目(41604110)、国土资源部海底矿产资源重点实验室开放基金项目(KLMMR-2015-A-14)、国家高技术研究发展计划(863计划)项目(2013AA092501)和国家科技重大专项(2011ZX05003-003)联合资助.This research is financially supported by the National Natural Science Foundation of China (Grant No.41604110),the Open Fund of MLR Key Laboratory of Marine Mineral Resources (Grant No.KLMMR-2015-A-14),the National High-tech R & D Program of China (863 Program) (Grant No.2013AA092501) and the National Science and Technology Major Project of China (Grant No.2011ZX05003-003). （41604110）
