Modelling Rupture Dynamics of a Planar Fault in 3-D Half Space by Boundary Integral Equation Method: An Overview

2006 ◽  
Vol 163 (2-3) ◽  
pp. 267-299 ◽  
Author(s):  
Xiaofei Chen ◽  
Haiming Zhang
Keyword(s):  
Integral Equation ◽  
Half Space ◽  
Boundary Integral Equation ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Boundary Integral Equation Method ◽  
Equation Method ◽  
Rupture Dynamics ◽  
Planar Fault

Proposal of Extended Boundary Integral Equation Method for Rupture Dynamics Interacting With Medium Interfaces

2012 ◽  
Vol 79 (3) ◽  
Author(s):  
Nobuki Kame ◽  
Tetsuya Kusakabe
Keyword(s):  
Integral Equation ◽  
Integral Equations ◽  
Boundary Integral Equation ◽  
Boundary Integral Equations ◽  
Integral Equation Method ◽  
Seismic Wave Propagation ◽  
Boundary Integral ◽  
Boundary Integral Equation Method ◽  
Equation Method ◽  
Rupture Dynamics

The boundary integral equation method (BIEM) has been applied to the analysis of rupture propagation of nonplanar faults in an unbounded homogeneous elastic medium. Here, we propose an extended BIEM (XBIEM) that is applicable in an inhomogeneous bounded medium consisting of homogeneous sub-regions. In the formulation of the XBIEM, the interfaces of the sub-regions are regarded as extended boundaries upon which boundary integral equations are additionally derived. This has been originally known as a multiregion approach in the analysis of seismic wave propagation in the frequency domain and it is employed here for rupture dynamics interacting with medium interfaces in time domain. All of the boundary integral equations are fully coupled by imposing boundary conditions on the extended boundaries and then numerically solved after spatiotemporal discretization. This paper gives the explicit expressions of discretized stress kernels for anti-plane nonplanar problems and the numerical method for the implementation of the XBIEM, which are validated in two representative planar fault problems.

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