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
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
摘要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.
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.
基金资助: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)
通讯作者:
Haiming Zhang
E-mail: zhanghm@pku.edu.cn
引用本文:
Haiming Zhang, Xiaoping Rui, Wenbo Zhang. Boundary integral equations for dynamic rupture propagation on vertical complex fault system in half-space: Theory[J]. 《地震学报》英文版, 2010, 23(2): 177-190.
Haiming Zhang, Xiaoping Rui, Wenbo Zhang. Boundary integral equations for dynamic rupture propagation on vertical complex fault system in half-space: Theory. Earthquake Science, 2010, 23(2): 177-190.
