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    Analytical wavefront curvature correction to plane-wave reflection coefficients for a weak-contrast interface

    45350.pdf (707.7Kb)
    Access Status
    Open access
    Authors
    Alulaiw, B.
    Gurevich, Boris
    Date
    2013
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Alulaiw, B. and Gurevich, B. 2013. Analytical wavefront curvature correction to plane-wave reflection coefficients for a weak-contrast interface. Geophysical Prospecting. 61 (1): pp. 53-62.
    Source Title
    Geophysical Prospecting
    DOI
    10.1111/j.1365-2478.2012.01060.x
    ISSN
    0016-8025
    School
    Department of Exploration Geophysics
    Remarks

    This is the peer reviewed version of the following article: Alulaiw, B. and Gurevich, B. (2013), Analytical wavefront curvature correction to plane‐wave reflection coefficients for a weak‐contrast interface. Geophysical Prospecting, 61: 53-62, which has been published in final form at https://doi.org/10.1111/j.1365-2478.2012.01060.x . This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.

    URI
    http://hdl.handle.net/20.500.11937/45370
    Collection
    • Curtin Research Publications
    Abstract

    Most amplitude versus offset (AVO) analysis and inversion techniques are based on the Zoeppritz equations for plane-wave reflection coefficients or their approximations. Real seismic surveys use localized sources that produce spherical waves, rather than plane waves. In the far-field, the AVO response for a spherical wave reflected from a plane interface can be well approximated by a plane-wave response. However this approximation breaks down in the vicinity of the critical angle. Conventional AVO analysis ignores this problem and always utilizes the plane-wave response. This approach is sufficiently accurate as long as the angles of incidence are much smaller than the critical angle. Such moderate angles are more than sufficient for the standard estimation of the AVO intercept and gradient. However, when independent estimation of the formation density is required, it may be important to use large incidence angles close to the critical angle, where spherical wave effects become important. For the amplitude of a spherical wave reflected from a plane fluid-fluid interface, an analytical approximation is known, which provides a correction to the plane-wave reflection coefficients for all angles. For the amplitude of a spherical wave reflected from a solid/solid interface, we propose a formula that combines this analytical approximation with the linearized plane-wave AVO equation. The proposed approximation shows reasonable agreement with numerical simulations for a range of frequencies. Using this solution, we constructed a two-layer three-parameter least-squares inversion algorithm. Application of this algorithm to synthetic data for a single plane interface shows an improvement compared to the use of plane-wave reflection coefficients.

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