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    Rigorous bounds for seismic dispersion and attenuation due to wave-induced fluid flow in porous rocks

    189476_66150_Rigourous_bounds_for_seismic_dispersion.pdf (355.4Kb)
    Access Status
    Open access
    Authors
    Gurevich, Boris
    Makarynska, D.
    Date
    2012
    Type
    Journal Article
    
    Metadata
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    Citation
    Gurevich, Boris and Makarynska, D. 2012. Rigorous bounds for seismic dispersion and attenuation due to wave-induced fluid flow in porous rocks. Geophysics. 77 (6): pp. L45-L51.
    Source Title
    Geophysics
    DOI
    10.1190/GEO2012-0039.1
    ISSN
    0016-8033
    Remarks

    Published by the Society of Exploration Geophysicists. © 2012 Society of Exploration Geophysicists.

    A link to the Society's web site is available from the Related Links field.

    URI
    http://hdl.handle.net/20.500.11937/5678
    Collection
    • Curtin Research Publications
    Abstract

    The Hashin-Shtrikman (HS) bounds define the range of bulk and shear moduli of an elastic composite, given the moduli of the constituents and their volume fractions. Recently, the HS bounds have been ex tended to the quasi-static moduli of composite viscoelastic media. Because viscoelastic moduli are complex, the viscoelastic bounds form a closed curve on the complex plane. We analyze these general viscoelastic bounds for a particular case of a porous solid saturated with a Newtonian fluid. In our analysis, for poroelastic media, the viscoelastic bounds for the bulk modulus are represented by a semicircle and a segment of the real axis, connecting formal HS bounds that are computed for an inviscid fluid. Importantly, viscoelastic bounds for poroelastic media turn out to be independent of frequency. However, because the bounds are quasi-static, the frequency must be much lower than Biot’s characteristic frequency. Furthermore, we find that the bounds for the bulk modulus are attainable (realizable). We also find that these viscoelastic bounds account for viscous shear relaxation and squirt-flow dispersion, but do not account for Biot’s global flow dispersion, because the latter strongly depends on inertial forces.

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