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BEM+Born series modeling schemes for wave propagation and their convergence analysis

查看全文 作　　者：Gengxin Yu Liyun Fu Xizhu [1]Guan 高影响力作者 机构地区：[1]Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China高影响力机构 出　　处：《Earthquake Science》索引2010年第23卷第2期,共10页高影响力期刊 基　　金：supported by National Natural Science Foundation of China (No.40830423);National Basic Research Program of China(973 Program,2009CB219403) 摘　　要：This paper formulates two different boundary-element+Born series schemes for wave propagation simulation in multilayered media by incorporating a Born series and boundary integral equations.The first scheme directly decomposes the resulting boundary integral equation matrix into the self-interaction operators associated with each boundary itself and the extrapolation operators expressing cross-interactions between different boundaries in a subregion.For the second scheme,the matrix dimension is firstly reduced to a half by the elimination of the traction field in the equations.The resulting new matrix can also be split into the self-interaction matrices associated each subregion itself and the extrapolation matrices interpreting cross-interactions between different subregions in a whole model.Both the numerical schemes avoid the inversion of the relatively much larger boundary integral equation matrix of a full-waveform BE method and hence save computing time and memory greatly.The two schemes are validated by calculating synthetic seismograms for a homogeneous layered model,compared with the full-waveform BE numerical solution.Numerical experiments indicate that both the BEM+Born series modeling schemes are valid and effective.The tests also confirm that the second modeling scheme has a faster convergence in comparison with the first one. 关 键 词：boundary-element method Born series self-interaction operator extrapolation operator
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