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    Scattering of a longitudinal wave by a circular crack in a fluid-saturated porous medium

    20709_downloaded_stream_165.pdf (149.6Kb)
    Access Status
    Open access
    Authors
    Galvin, R.
    Gurevich, Boris
    Date
    2007
    Type
    Journal Article
    
    Metadata
    Show full item record
    Citation
    Galvin, R. J. and Gurevich, B.. 2007. Scattering of a longitudinal wave by a circular crack in a fluid-saturated porous medium. International Journal of Solids and Structures 44 (22-23): 7389-7398.
    Source Title
    International Journal of Solids and Structures
    DOI
    10.1016/j.ijsolstr.2007.04.011
    Faculty
    Department of Exploration Geophysics
    Division of Resources and Environment
    School
    CRGC, Department of Exploration Geophysics
    Remarks

    Galvin, R. J. and Gurevich, B. (2007) Scattering of a longitudinal wave by a circular crack in a fluid-saturated porous medium, International Journal of Solids and Structures 44(22-23):7389-7398.

    The link to this article is:

    http://dx.doi.org/10.1016/j.ijsolstr.2007.04.011

    Copyright 2007 Elsevier B.V. All rights reserved

    URI
    http://hdl.handle.net/20.500.11937/46119
    Collection
    • Curtin Research Publications
    Abstract

    Physical properties of many natural and man-made materials can be modelled using the concept of poroelasticity. Some porous materials, in addition to the network of pores, contain larger inhomogeneities such as inclusions, cavities, fractures or cracks. A common method of detecting such inhomogeneities is based on the use of elastic wave scattering. We consider interaction of a normally incident time-harmonic longitudinal plane wave with a circular crack imbedded in a porous medium governed by Biot's equations of dynamic poroelasticity. The problem is formulated in cylindrical co-ordinates as a system of dual integral equations for the Hankel transform of the wave field, which is then reduced to a single Fredholm integral equation of the second kind. It is found that the scattering that takes place is predominantly due to wave inducedfluid flow between the pores and the crack. The scattering magnitude depends on the size of the crack relative to the slow wave wavelength and has it's maximum value when they are of the same order.

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