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Localized Boundary Integral Equation–Discrete Wavenumber Method for Simulating Wave Propagation in Irregular Multiple Layers, Part I: Theory

Institute of Geophysics, China Earthquake Administration, Beijing 100081, China zhouhong{at}pku.edu.cn

Xiaofei Chen

School of Earth and Space Science, University of Science and Technology, Hefei 230026, China

We present a new method of synthesizing seismograms for irregular multilayered problems. It is an extension of the local (lo) boundary integral equation (BIE) discrete wavenumber method (DWM) topography problem. Following similar procedures as those developed in solving the P-SV waves of topography problems, we first provide the formulation of Bouchon and Campillo’s BIE–DWM (Bouchon, 1985; Campillo and Bouchon, 1985) for the multilayered problem. By orthogonally decomposing the forces on irregular and flat parts of each interface and applying a discrete Fourier transform (DFT) we derive their relation. Finally, considering the continuity of displacement and traction on each interface, we get a linear equation only involving the unknown forces on irregular parts of interfaces and discuss its solution. In this algorithm the dimension of the lineal equation is decided by the sampling number on irregular parts of interfaces. Therefore, its computation efficiency increases dramatically, particularly for the problem in which the corrugated part of the layer is highly localized.

This article has been cited by other articles:

				H. Zhou and X. Chen Localized Boundary Integral Equation-Discrete Wavenumber Method for Simulating Wave Propagation in Irregular Multiple Layers, Part II: Validation and Application Bulletin of the Seismological Society of America, June 1, 2009; 99(3): 1995 - 2011. [Abstract] [Full Text] [PDF]