Earthquake Science

, Volume 23, Issue 2, pp 177–190 | Cite as

Boundary integral equations for dynamic rupture propagation on vertical complex fault system in half-space: Theory

  • Haiming ZhangEmail author
  • Xiaoping Rui
  • Wenbo Zhang


The boundary integral equation method (BIEM) is now widely used in numerical studies on earthquake rupture dynamics, and is proved to be a powerful tool to deal with problems on complex fault system. However, since this method heavily lies on the specific forms of Green’s function and only the Green’s function in full-space has a closed analytic expression, it is usually limited to a full-space medium. In this study, as a first step to extend this method to an arbitrary complex fault system in half-space, the boundary integral equations (BIEs) for dynamic strike-slip on vertical complex fault system in half-space are derived based on exact Green’s function for isotropic and homogeneous half-space. Effect of the geometry of the complex fault system are dealt with carefully. Final BIEs is composed of two parts: contribution from full-space, which has been thoroughly investigated by Aochi and his co-workers by using the Green’s function for full-space, and that from free surface, which is studied in detail in this study.

Key words

seismic source dynamics boundary integral equation complex fault system free surface 

CLC number



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Copyright information

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

Authors and Affiliations

  1. 1.Department of Geophysics, School of Earth and Space SciencesPeking UniversityBeijingChina
  2. 2.College of Resources and EnvironmentGraduate University of Chinese Academy of SciencesBeijingChina
  3. 3.College of Earth SciencesGraduate University of Chinese Academy of SciencesBeijingChina

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