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    Wave-induced fluid flow in random porous media: Attenuation and dispersion of elastic waves

    19768_downloaded_stream_286.pdf (166.2Kb)
    Access Status
    Open access
    Authors
    Muller, Tobias
    Gurevich, Boris
    Date
    2005
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Muller, Tobias M. and Gurevich, Boris. 2005. Wave-induced fluid flow in random porous media: Attenuation and dispersion of elastic waves. Journal of the Acoustical Society of America 117 (5): 2732-2741.
    Source Title
    Journal of the Acoustical Society of America
    DOI
    10.1121/1.1894792
    Faculty
    Department of Exploration Geophysics
    Division of Resources and Environment
    URI
    http://hdl.handle.net/20.500.11937/5537
    Collection
    • Curtin Research Publications
    Abstract

    A detailed analysis of the relationship between elastic waves in inhomogeneous, porous media and the effect of wave-induced fluid flow is presented. Based on the results of the poroelastic first-order statistical smoothing approximation applied to Biot's equations of poroelasticity, a model for elastic wave attenuation and dispersion due to wave-induced fluid flow in 3-D randomly inhomogeneous poroelastic media is developed. Attenuation and dispersion depend on linear combinations of the spatial correlations of the fluctuating poroelastic parameters. The observed frequency dependence is typical for a relaxation phenomenon. Further, the analytic properties of attenuation and dispersion are analyzed. It is shown that the low-frequency asymptote of the attenuation coefficient of a plane compressional wave is proportional to the square of frequency. At high frequencies the attenuation coefficient becomes proportional to the square root of frequency. A comparison with the 1-D theory shows that attenuation is of the same order but slightly larger in 3-D random media. Several modeling choices of the approach including the effect of cross correlations between fluid and solid phase properties are demonstrated. The potential application of the results to real porous materials is discussed. 2005 Acoustical Society of America.

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