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

Tae-Kyung Hong, B. L N Kennett

Research output: Contribution to journalArticle

19 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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Elastic waves
elastic wave
elastic waves
Wave propagation
wave propagation
wavelet
Differential equations
differential equations
Boundary conditions
Differentiation (calculus)
boundary conditions
simulation
boundary condition
free boundaries
traction
absorbing boundary
Wave equations
P waves
wavelet analysis
Wavelet transforms

All Science Journal Classification (ASJC) codes

  • Geochemistry and Petrology
  • Geophysics

Cite this

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A wavelet-based method for simulation of two-dimensional elastic wave propagation. / Hong, Tae-Kyung; Kennett, B. L N.

In: Geophysical Journal International, Vol. 150, No. 3, 01.09.2002, p. 610-638.

Research output: Contribution to journalArticle

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