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Stability Conditions for Wave Simulation in 3-D Anisotropic Media with the Pseudospectral Method

Published online by Cambridge University Press:  20 August 2015

Wensheng Zhang*
Affiliation:
LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O. Box Beijing 2719, P.R. China
*
*Corresponding author.Email:zws@lsec.cc.ac.en
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Abstract

Simulation of elastic wave propagation has important applications in many areas such as inverse problem and geophysical exploration. In this paper, stability conditions for wave simulation in 3-D anisotropic media with the pseudospectral method are investigated. They can be expressed explicitly by elasticity constants which are easy to be applied in computations. The 3-D wave simulation for two typical anisotropic media, transversely isotropic media and orthorhombic media, are carried out. The results demonstrate some satisfactory behaviors of the pseudospectral method.

Type
Research Article
Copyright
Copyright © Global Science Press Limited 2012

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