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    Approximate reflection coefficients for a thin VTI layer

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    Type
    Article
    Authors
    Hao, Qi
    Stovas, Alexey
    KAUST Department
    Physical Science and Engineering (PSE) Division
    Date
    2017-09-18
    Permanent link to this record
    http://hdl.handle.net/10754/625511
    
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    Abstract
    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.
    Citation
    Hao Q, Stovas A (2017) Approximate reflection coefficients for a thin VTI layer. GEOPHYSICS: 1–61. Available: http://dx.doi.org/10.1190/geo2016-0638.1.
    Sponsors
    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.
    Publisher
    Society of Exploration Geophysicists
    Journal
    GEOPHYSICS
    DOI
    10.1190/geo2016-0638.1
    Additional Links
    http://library.seg.org/doi/10.1190/geo2016-0638.1
    ae974a485f413a2113503eed53cd6c53
    10.1190/geo2016-0638.1
    Scopus Count
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    Articles; Physical Science and Engineering (PSE) Division

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