A wavelet-based method for simulation of two-dimensional elastic wave propagation

Tae Kyung Hong, B. L.N. Kennett

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

A wavelet-based method is introduced for the modelling of elastic wave propagation in 2-D media. The spatial derivative operators in the elastic wave equations are treated through wavelet transforms in a physical domain. The resulting second-order differential equations for time evolution are then solved via a system of first-order differential equations using a displacement-velocity formulation. With the combined aid of a semi-group representation and spatial differentiation using wavelets, a uniform numerical accuracy of spatial differentiation can be maintained across the domain. Absorbing boundary conditions are considered implicitly by including attenuation terms in the governing equations and the traction-free boundary condition at a free surface is implemented by introducing equivalent forces in the semi-group scheme. The method is illustrated by application to SH and P-SV waves for several models and some numerical results are compared with analytical solutions. The wavelet-based method achieves a good numerical simulation and shows an applicability for an elastic-wave study.

Original languageEnglish
Pages (from-to)610-638
Number of pages29
JournalGeophysical Journal International
Volume150
Issue number3
DOIs
Publication statusPublished - 2002 Sep 1

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All Science Journal Classification (ASJC) codes

  • Geophysics
  • Geochemistry and Petrology

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