Alternative stable qP wave equations in TTI media with their applications for reverse time migration

Zhou, Yang; Wang, Huazhong; Liu, Wenqing

doi:10.1088/1742-2132/12/5/734

Cited by 2 publications

(1 citation statement)

References 13 publications

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“…Equation 65 can be conveniently implemented in the mixed space-wavenumber domain by calculating the involved derivatives in the wavenumber domain and then applying space-variable scaling in the space domain. Because the derivative calculations can be carried out with respect to local coordinates for each point in the model space, equation 65 can be immediately used for an implementation in TTI media in a similar way to the ones indicated by Zhan et al (2013) or Zhou et al (2015).…”

Section: Second-order Approximationmentioning

confidence: 99%

A separable strong-anisotropy approximation for pure qP-wave propagation in transversely isotropic media

Schleicher

Costa

2016

GEOPHYSICS

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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 Padé 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 qPwave dispersion relation. Our numerical experiments showed that this approximation can provide highly accurate wavefields, even in strongly anisotropic inhomogeneous media.

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Section: Second-order Approximationmentioning

confidence: 99%