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    Modeling of wave dispersion along cylindrical structures using the spectral method

    Access Status
    Fulltext not available
    Authors
    Karpfinger, Florian
    Gurevich, Boris
    Bakulin, Andrey
    Date
    2008
    Type
    Journal Article
    
    Metadata
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    Citation
    Karpfinger, Florian and Gurevich, Boris and Bakulin, Andrey. 2008. Modeling of wave dispersion along cylindrical structures using the spectral method. Journal of Acoustical Society of America 124 (2): pp. 859-865.
    Source Title
    Journal of Acoustical Society of America
    DOI
    10.1121/1.2940577
    ISSN
    00014966
    Faculty
    Department of Exploration Geophysics
    Faculty of Science and Engineering
    WA School of Mines
    Remarks

    Copyright 2008 Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America.

    The following article appeared in Karpfinger, Florian and Gurevich, Boris and Bakulin, Andrey. 2008. Modeling of wave dispersion along cylindrical structures using the spectral method. Journal of Acoustical Society of America 124 (2): pp. 859-865 and may be found at : http://dx.doi.org/10.1121/1.2940577

    URI
    http://hdl.handle.net/20.500.11937/42757
    Collection
    • Curtin Research Publications
    Abstract

    Algorithm and code are presented that solve dispersion equations for cylindrically layered mediaconsisting of an arbitrary number of elastic and fluid layers. The algorithm is based on the spectralmethod which discretizes the underlying wave equations with the help of spectral differentiationmatrices and solves the corresponding equations as a generalized eigenvalue problem. For a givenfrequency the eigenvalues correspond to the wave numbers of different modes. The advantage ofthis technique is that it is easy to implement, especially for cases where traditional root-findingmethods are strongly limited or hard to realize, i.e., for attenuative, anisotropic, and poroelasticmedia. The application of the new approach is illustrated using models of an elastic cylinder and afluid-filled tube. The dispersion curves so produced are in good agreement with analytical results,which confirms the accuracy of the method. Particle displacement profiles of the fundamental mode in a free solid cylinder are computed for a range of frequencies.

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