Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/325950
Type: Artigo
Title: A Separable Strong-anisotropy Approximation For Pure Qp-wave Propagation In Transversely Isotropic Media
A separable strong-anisotropy approximation for pure qP-wave propagation in transversely isotropic media
Author: Schleicher, Jorg
Costa, Jessé C.
Abstract: The wave equation can be tailored to describe wave propagation in vertical-symmetry axis transversely isotropic (VTI) media. The qP- and qS-wave eikonal equations derived from the VTI wave equation indicate that in the pseudoacoustic approximation, their dispersion relations degenerate into a single one. Therefore, when using this dispersion relation for wave simulation, for instance, by means of finite-difference approximations, both events are generated. To avoid the occurrence of the pseudo-S-wave, the qP-wave dispersion relation alone needs to be approximated. This can be done with or without the pseudoacoustic approximation. A Pade expansion of the exact qP-wave dispersion relation leads to a very good approximation. Our implementation of a separable version of this equation in the mixed space-wavenumber domain permits it to be compared with a low-rank solution of the exact qP-wave dispersion relation. Our numerical experiments showed that this approximation can provide highly accurate wave-fields, even in strongly anisotropic inhomogeneous media.
The wave equation can be tailored to describe wave propagation in vertical-symmetry axis transversely isotropic (VTI) media. The qP- and qS-wave eikonal equations derived from the VTI wave equation indicate that in the pseudoacoustic approximation, their dispersion relations degenerate into a single one. Therefore, when using this dispersion relation for wave simulation, for instance, by means of finite-difference approximations, both events are generated. To avoid the occurrence of the pseudo-S-wave, the qP-wave dispersion relation alone needs to be approximated. This can be done with or without the pseudoacoustic approximation. A Pade expansion of the exact qP-wave dispersion relation leads to a very good approximation. Our implementation of a separable version of this equation in the mixed space-wavenumber domain permits it to be compared with a low-rank solution of the exact qP-wave dispersion relation. Our numerical experiments showed that this approximation can provide highly accurate wave-fields, even in strongly anisotropic inhomogeneous media.
Subject: Equação de onda
Padé, Aproximante de
Anisotropia
Propagação de ondas
Diferenças finitas
Métodos numéricos
Country: Estados Unidos
Editor: Society of Exploration Geophysicists
Citation: Geophysics. Soc Exploration Geophysicists, v. 81, p. C337 - C354, 2016.
Rights: fechado
Identifier DOI: 10.1190/GEO2016-0138.1
Address: http://library.seg.org/doi/abs/10.1190/geo2016-0138.1
Date Issue: 2016
Appears in Collections:IMECC - Artigos e Outros Documentos

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