Please use this identifier to cite or link to this item: https://repositorio.ufba.br/handle/ri/15512
metadata.dc.type: Artigo de Periódico
Title: Rapid expansion and pseudo spectral implementation for reverse time migration in VTI media
Other Titles: Journal of Geophysics and Engineering
Authors: Pestana, Reynam da Cruz
Ursin, Bjorn
Stoffa, Paul L.
metadata.dc.creator: Pestana, Reynam da Cruz
Ursin, Bjorn
Stoffa, Paul L.
Abstract: In isotropic media, we use the scalar acoustic wave equation to perform reverse time migration (RTM) of the recorded pressure wavefield data. In anisotropic media, P- and SV-waves are coupled, and the elastic wave equation should be used for RTM. For computational efficiency, a pseudo-acoustic wave equation is often used. This may be solved using a coupled system of second-order partial differential equations. We solve these using a pseudo spectral method and the rapid expansion method (REM) for the explicit time marching. This method generates a degenerate SV-wave in addition to the P-wave arrivals of interest. To avoid this problem, the elastic wave equation for vertical transversely isotropic (VTI) media can be split into separate wave equations for P- and SV-waves. These separate wave equations are stable, and they can be effectively used to model and migrate seismic data in VTI media where |epsilon − δ| is small. The artifact for the SV-wave has also been removed. The independent pseudo-differential wave equations can be solved one for each mode using the pseudo spectral method for the spatial derivatives and the REM for the explicit time advance of the wavefield. We show numerically stable and high-resolution modeling and RTM results for the pure P-wave mode in VTI media.
Keywords: Seismic waves
Anisotropy
Dispersion relation,
Vertical transversely isotropic,
Reverse time migration,
Rapid expansion method
Pseudo spectral method
metadata.dc.rights: Acesso Aberto
URI: http://repositorio.ufba.br/ri/handle/ri/15512
Issue Date: 2012
Appears in Collections:Artigo Publicado em Periódico (IGEO)

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