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Boundary integral equations for dynamic rupture propagation on vertical complex fault system in half-space: Theory |
Haiming Zhang1, Xiaoping Rui2, Wenbo Zhang3 |
1 Department of Geophysics, School of Earth and Space Sciences, Peking University, Beijing 100871, China
2 College of Resources and Environment, Graduate University of Chinese Academy of Sciences, Beijing 100049, China
3 College of Earth Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049, China |
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Abstract 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 speci?c 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 ?rst 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.
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Received: 19 November 2009
Published: 10 April 2010
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Fund:the President Fund of GUCAS (No. O85101CM03) and National Natural Science Foundation of China (Nos. 90715019 and 40821062), and partially by National Basic Research Program of China (No.2004CB418404) |
Corresponding Authors:
Haiming Zhang
E-mail: zhanghm@pku.edu.cn
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