Approximate reflection coefficients for a thin VTI layer

Qi Hao, Alexey Stovas

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We present an approximate method to derive simple expressions for the reflection coefficients of P- and SV-waves for a thin transversely isotropic layer with a vertical symmetry axis (VTI) embedded in a homogeneous VTI background. The layer thickness is assumed to be much smaller than the wavelengths of P- and SV-waves inside. The exact reflection and transmission coefficients are derived by the propagator matrix method. In the case of normal incidence, the exact reflection and transmission coefficients are expressed in terms of the impedances of vertically propagating P- and S-waves. For subcritical incidence, the approximate reflection coefficients are expressed in terms of the contrast in the VTI parameters between the layer and the background. Numerical examples are designed to analyze the reflection coefficients at normal and oblique incidence, and investigate the influence of transverse isotropy on the reflection coefficients. Despite giving numerical errors, the approximate formulae are sufficiently simple to qualitatively analyze the variation of the reflection coefficients with the angle of incidence.
Original languageEnglish (US)
Pages (from-to)C1-C11
Number of pages1
Issue number1
StatePublished - Sep 18 2017

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: We thank rock and seismic (ROSE) project for support. The first author thanks V. Li, J. Cheng and an anonymous reviewer for their critical reviews, and especially thanks guest associate editor I. Tsvankin for his constructive review, many valuable suggestions and improving the English of the paper.


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