Curtin University Homepage
  • Library
  • Help
    • Admin

    espace - Curtin’s institutional repository

    JavaScript is disabled for your browser. Some features of this site may not work without it.
    View Item 
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item
    • espace Home
    • espace
    • Curtin Research Publications
    • View Item

    Optimal bounds for attenuation of elastic waves in porous fluid-saturated media

    Access Status
    Fulltext not available
    Authors
    Glubokovskikh, Stanislav
    Gurevich, Boris
    Date
    2017
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Glubokovskikh, S. and Gurevich, B. 2017. Optimal bounds for attenuation of elastic waves in porous fluid-saturated media. Journal of the Acoustical Society of America. 142 (5): pp. 3321-3329.
    Source Title
    Journal of the Acoustical Society of America
    DOI
    10.1121/1.5011748
    ISSN
    0001-4966
    School
    WASM: Minerals, Energy and Chemical Engineering (WASM-MECE)
    URI
    http://hdl.handle.net/20.500.11937/60197
    Collection
    • Curtin Research Publications
    Abstract

    Explicit expressions for bounds on the effective bulk and shear moduli of mixture of an elastic solid and Newtonian fluid are derived. Since in frequency domain the shear modulus of the Newtonian fluid is complex valued, the effective mixture moduli are, in general, also complex valued and, hence, the bounds are curves in the complex plane. From the general expressions for bounds of effective moduli of viscoelastic mixtures, it is shown that effective bulk and shear moduli of such mixtures must lie between the real axis and a semicircle in the upper half-plane connecting formal lower and upper Hashin-Shtrikman bounds of the mixture of the solid and inviscid fluid of the same compressibility as the Newtonian fluid. Furthermore, it is shown that the bounds on the effective complex bulk and shear moduli of the mixture are optimal; that is, the moduli corresponding to any point on the bounding curves can be attained by the Hashin sphere assemblage penetrated by a random distribution of thin cracks. The results are applicable to a variety of solid/fluid mixtures such as fluid-saturated porous materials and particle suspensions.

    Related items

    Showing items related by title, author, creator and subject.

    • Theoretical and numerical modelling of the effect of viscous and viscoelastic fluids on elastic properties of saturated rocks
      Makarynska, Dina (2010)
      Rock physics is an essential link connecting seismic data to the properties of rocks and fluids in the subsurface. One of the most fundamental questions of rock physics is how to model the effects of pore fluids on rock ...
    • Rigorous bounds for seismic dispersion and attenuation due to wave-induced fluid flow in porous rocks
      Gurevich, Boris; Makarynska, D. (2012)
      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 ...
    • Bounds for seismic dispersion and attenuation in poroelastic rocks
      Gurevich, Boris; Makarynska, Dina; De Paula, Osni (2011)
      Recently, Hashin-Shtrikman bounds for bulk and shear moduli of elastic composites have been extended to the moduli of composite viscoelastic media. Since viscoelastic moduli are complex, the viscoelastic bounds form a ...
    Advanced search

    Browse

    Communities & CollectionsIssue DateAuthorTitleSubjectDocument TypeThis CollectionIssue DateAuthorTitleSubjectDocument Type

    My Account

    Admin

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Follow Curtin

    • 
    • 
    • 
    • 
    • 

    CRICOS Provider Code: 00301JABN: 99 143 842 569TEQSA: PRV12158

    Copyright | Disclaimer | Privacy statement | Accessibility

    Curtin would like to pay respect to the Aboriginal and Torres Strait Islander members of our community by acknowledging the traditional owners of the land on which the Perth campus is located, the Whadjuk people of the Nyungar Nation; and on our Kalgoorlie campus, the Wongutha people of the North-Eastern Goldfields.