Modelling Rupture Dynamics of a Planar Fault in 3-D Half Space by Boundary Integral Equation Method: An Overview |
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| Authors: | Xiaofei Chen Haiming Zhang |
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| Institution: | (1) Laboratory of Computational Geodynamics, School of Earth and Space Sciences, Peking University, Beijing, 100871, China |
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| Abstract: | In this article, we first reviewed the method of boundary integral equation (BIEM) for modelling rupture dynamics of a planar
fault embedded in a 3-D elastic half space developed recently (ZHANG and CHEN, 2005a,b). By incorporating the half-space Green's
function, we successfully extended the BIEM, which is a powerful tool to study earthquake rupture dynamics on complicated
fault systems but limited to full-space model to date, to half-space model. In order to effectively compute the singular integrals
in the kernels of the fundamental boundary integral equation, we proposed a regularization procedure consisting of the generalized
Apsel-Luco correction and the Karami-Derakhshan algorithm to remove all the singularities, and developed an adaptive integration
scheme to efficiently deal with those nonsingular while slowly convergent integrals. The new BIEM provides a powerful tool
for investigating the physics of earthquake dynamics. We then applied the new BIEM to investigate the influences of geometrical
and physical parameters, such as the dip angle (δ) and depth (h) of the fault, radius of the nucleation region (Rasp), slip-weakening distance (Dc), and stress inside (Ti) and outside (Te) the nucleation region, on the dynamic rupture processes on the fault embedded in a 3-D half space, and found that (1) overall
pattern of the rupture depends on whether the fault runs up to the free surface or not, especially for strike-slip, (2) although
final slip distribution is influenced by the dip angle of the fault, the dip angle plays a less important role in the major
feature of the rupture progress, (3) different value of h, δ, Rasp, Te, Ti and Dc may influence the balance of energy and thus the acceleration time of the rupture, but the final rupture speed is not controlled
by these parameters. |
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| Keywords: | Dynamic rupture boundary integral equation half space Green's function |
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