石油物探2018,Vol.57Issue(1):94-103,10.DOI:10.3969/j.issn.1000-1441.2018.01.013
基于SPML和海绵边界的伪谱法弹性波模拟复合吸收边界条件
A composite absorbing boundary based on the SPML and sponge absorbing boundary for pseudo-spectral elastic wave modeling
摘要
Abstract
In pseudo-spectral elastic wave modeling,the conventional split perfectly matched layer (SPML)is less effective in at-tenuating seismic waves that propagate almost parallel to the boundary and generates numerical noise,reducing the numerical sim-ulation accuracy.Here,we propose a composite absorbing boundary (CAB)by adding a sponge-absorbing boundary layer outside the SPML absorbing boundary to attenuate the unabsorbed seismic waves through the SPML boundary.We modified the sponge boundary absorption coefficient in the CAB to avoid numerical noise generation.The numerical experiments show that the CAB has a higher attenuation capability than the conventional SPML for seismic waves traveling parallel to the boundary,and no significant noise is generated around the boundary.Since the proposed CAB adds an absorption layer outside the original PML and does not in-troduce additional complex mathematical transformations,it can be easily applied to other types of numerical simulations of seismic waves,such as finite difference and finite element methods.关键词
完全匹配层/海绵吸收边界/复合吸收边界/伪谱法/弹性波正演模拟/弹性波方程/数值噪声Key words
perfectly matched layer/sponge absorbing boundary/composite absorbing boundary/pseudo-spectral/elastic wave mod-eling/elastic wave equation/numerical noise分类
天文与地球科学引用本文复制引用
马锐,邹志辉,芮拥军,贾东顺..基于SPML和海绵边界的伪谱法弹性波模拟复合吸收边界条件[J].石油物探,2018,57(1):94-103,10.基金项目
国家科技重大专项(2016ZX05006002-001)、国家自然科学基金重点项目(41230318)、山东省自然科学基金(ZR2014DM006)和教育部留学回国人员科研启动基金(教外司留[2015]1098 号)共同资助. This research is financially supported by the National Science and Technology Major Project of China (Grant No.2016ZX05006002-001),the Natu-ral Science Foundation of China (Grant No.41230318),the Natural Science Foundation of Shandong Province (Grant No.ZR2014DM006),and the Scientific Research Starting Foundation for Returned Overseas Chinese Scholars,Ministry of Education,China (Grant No.[2015]1098). (2016ZX05006002-001)