An acoustic eikonal equation for attenuating VTI media

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We present an acoustic eikonal equation governing the complex-valued travel time of P-waves in attenuating, transversely isotropic media with a vertical symmetry axis (VTI). This equation is based on the assumption that the Pwave complex-valued travel time is independent of the Swave velocity parameter v in Thomsen's notation and the attenuation coefficient A in the Thomsen-type notation for attenuating VTI media. We combine perturbation theory and Shanks transform to develop practical approximations to the attenuating acoustic eikonal equation, capable of admitting analytical description of the attenuation in homogeneous media. For a horizontal, attenuating VTI layer, we also derive non-hyperbolic approximations for the real and imaginary parts of the complex-valued reflection travel time.
Original languageEnglish (US)
Title of host publicationSEG Technical Program Expanded Abstracts 2016
PublisherSociety of Exploration Geophysicists
Pages458-463
Number of pages6
DOIs
StatePublished - Sep 2016

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