Application of selective filtering non-staggered finite difference method to seismic wave simulation

Qiu Lei　Tian GangWang Bangbingcom sh advance

Acta Seismologica Sinica > 2012 > 34(4): 463-475.

Qiu Lei　Tian GangWang Bangbingcom sh advance. 2012: Application of selective filtering non-staggered finite difference method to seismic wave simulation. Acta Seismologica Sinica, 34(4): 463-475.

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Application of selective filtering non-staggered finite difference method to seismic wave simulation

Qiu Lei　Tian GangWang Bangbingcom sh advance

(Department of Earth Sciences, Zhejiang University, Hangzhou 310027, China)

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Published Date: July 12, 2012

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Abstract

Abstract

In this study a selective filtering non-staggered finite difference method, called SFFD, is introduced to simulate seismic wave propagation in 2D media. SFFD utilizes optimized 11-point DRP (dispersion relation preserving) non-staggered finite difference scheme to discretize first-order spatial derivatives. In addition, selective filtering is applied to removing grid-to-grid oscillation caused by non-staggered algorithm. The selective filtering enhances the numerical accuracy and makes the simulation stable to implement. Test result demonstrates that SFFD can achieve the same accuracy as O(Delta;x8, Delta;t4) order staggered finite difference scheme. Moreover, the proposed algorithm is able to handle the media with high Poissonrsquo;s ratio. The media with strong inhomogeneity can also be treated by SFFD. As a non-staggered method, SFFD has potential application to seismic wave simulation in curvilinear coordinate system and general anisotropic media, in which complex interpolation must be performed for staggered scheme.

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