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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.

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Type
Research Article
Copyright
Copyright © Global Science Press Limited 2012

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