Decoupled equations for reverse time migration in tilted transversely isotropic media

Ge Zhan; Reynam C. Pestana; Paul L. Stoffa

doi:10.1190/geo2011-0175.1

Decoupled equations for reverse time migration in tilted transversely isotropic media

Ge Zhan, Reynam C. Pestana, Paul L. Stoffa

Research output: Contribution to journal › Article › peer-review

107 Scopus citations

Abstract

Conventional modeling and migration for tilted transversely isotropic (TTI) media may suffer from numerical instabilities and shear wave artifacts due to the coupling of the P-wave and SV-wave modes in the TTI coupled equations. Starting with the separated P- and SV-phase velocity expressions for vertical transversely isotropic (VTI) media, we extend these decoupled equations for modeling and reverse time migration (RTM) in acoustic TTI media. Compared with the TTI coupled equations published in the geophysical literature, the new TTI decoupled equations provide a more stable solution due to the complete separation of the P-wave and SV-wave modes. The pseudospectral method is the most convenient method to implement these equations due to the form of wavenumber expressions and has the added benefit of being highly accurate and thus avoiding numerical dispersion. The rapid expansion method (REM) in time is employed to produce a broad band numerically stable time evolution of the wavefields. Synthetic results validate the proposed TTI decoupled equations and show that modeling and RTM in TTI media with the decoupled equations remain numerically stable even for models with strong anisotropy and sharp contrasts. © 2012 Society of Exploration Geophysicists.

Original language	English (US)
Pages (from-to)	T37-T45
Number of pages	1
Journal	Geophysics
Volume	77
Issue number	2
DOIs	https://doi.org/10.1190/geo2011-0175.1
State	Published - Mar 2012

ASJC Scopus subject areas

Geochemistry and Petrology
Geophysics

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title = "Decoupled equations for reverse time migration in tilted transversely isotropic media",

abstract = "Conventional modeling and migration for tilted transversely isotropic (TTI) media may suffer from numerical instabilities and shear wave artifacts due to the coupling of the P-wave and SV-wave modes in the TTI coupled equations. Starting with the separated P- and SV-phase velocity expressions for vertical transversely isotropic (VTI) media, we extend these decoupled equations for modeling and reverse time migration (RTM) in acoustic TTI media. Compared with the TTI coupled equations published in the geophysical literature, the new TTI decoupled equations provide a more stable solution due to the complete separation of the P-wave and SV-wave modes. The pseudospectral method is the most convenient method to implement these equations due to the form of wavenumber expressions and has the added benefit of being highly accurate and thus avoiding numerical dispersion. The rapid expansion method (REM) in time is employed to produce a broad band numerically stable time evolution of the wavefields. Synthetic results validate the proposed TTI decoupled equations and show that modeling and RTM in TTI media with the decoupled equations remain numerically stable even for models with strong anisotropy and sharp contrasts. {\textcopyright} 2012 Society of Exploration Geophysicists.",

author = "Ge Zhan and Pestana, {Reynam C.} and Stoffa, {Paul L.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: The authors wish to thank King Abdullah University of Science and Technology (KAUST) for providing research funding to this project. We appreciate the reviews by Faqi Liu, Hongbo Zhou, and an anonymous reviewer, who made a number of helpful suggestions that improved the quality of our manuscript. We are also grateful to John Etgen, the associate editor for many useful suggestions. We would like to thank BP for making the TTI model and data set available.",

year = "2012",

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doi = "10.1190/geo2011-0175.1",

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T1 - Decoupled equations for reverse time migration in tilted transversely isotropic media

AU - Zhan, Ge

AU - Pestana, Reynam C.

AU - Stoffa, Paul L.

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: The authors wish to thank King Abdullah University of Science and Technology (KAUST) for providing research funding to this project. We appreciate the reviews by Faqi Liu, Hongbo Zhou, and an anonymous reviewer, who made a number of helpful suggestions that improved the quality of our manuscript. We are also grateful to John Etgen, the associate editor for many useful suggestions. We would like to thank BP for making the TTI model and data set available.

PY - 2012/3

Y1 - 2012/3

N2 - Conventional modeling and migration for tilted transversely isotropic (TTI) media may suffer from numerical instabilities and shear wave artifacts due to the coupling of the P-wave and SV-wave modes in the TTI coupled equations. Starting with the separated P- and SV-phase velocity expressions for vertical transversely isotropic (VTI) media, we extend these decoupled equations for modeling and reverse time migration (RTM) in acoustic TTI media. Compared with the TTI coupled equations published in the geophysical literature, the new TTI decoupled equations provide a more stable solution due to the complete separation of the P-wave and SV-wave modes. The pseudospectral method is the most convenient method to implement these equations due to the form of wavenumber expressions and has the added benefit of being highly accurate and thus avoiding numerical dispersion. The rapid expansion method (REM) in time is employed to produce a broad band numerically stable time evolution of the wavefields. Synthetic results validate the proposed TTI decoupled equations and show that modeling and RTM in TTI media with the decoupled equations remain numerically stable even for models with strong anisotropy and sharp contrasts. © 2012 Society of Exploration Geophysicists.

AB - Conventional modeling and migration for tilted transversely isotropic (TTI) media may suffer from numerical instabilities and shear wave artifacts due to the coupling of the P-wave and SV-wave modes in the TTI coupled equations. Starting with the separated P- and SV-phase velocity expressions for vertical transversely isotropic (VTI) media, we extend these decoupled equations for modeling and reverse time migration (RTM) in acoustic TTI media. Compared with the TTI coupled equations published in the geophysical literature, the new TTI decoupled equations provide a more stable solution due to the complete separation of the P-wave and SV-wave modes. The pseudospectral method is the most convenient method to implement these equations due to the form of wavenumber expressions and has the added benefit of being highly accurate and thus avoiding numerical dispersion. The rapid expansion method (REM) in time is employed to produce a broad band numerically stable time evolution of the wavefields. Synthetic results validate the proposed TTI decoupled equations and show that modeling and RTM in TTI media with the decoupled equations remain numerically stable even for models with strong anisotropy and sharp contrasts. © 2012 Society of Exploration Geophysicists.

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Decoupled equations for reverse time migration in tilted transversely isotropic media

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