Earthquake Science

, Volume 23, Issue 2, pp 139–148 | Cite as

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

  • Gengxin YuEmail author
  • Liyun Fu
  • Xizhu Guan


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.

Key words

boundary-element method Born series self-interaction operator extrapolation operator 

CLC number



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Copyright information

© The Seismological Society of China and Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Institute of Geology and GeophysicsChinese Academy of SciencesBeijingChina

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