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

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 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.