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Investigation of normal waves in a porous layer surrounded by elastic half-spaces

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The wave field and dispersion equations are found for a porous layer surrounded by two elastic half-spaces. The porous layer is described by the effective model of a medium in which elastic and fluid layers alternate. To investigate the normal waves, all real roots of dispersion equations are determined and their movements as the wave number increases are investigated. As a result, the dispersion curves of all normal waves are constructed and the dependence of normal waves on the parameters of the porous layer and elastic half-spaces is analyzed. Bibliography: 6 titles.

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Authors and Affiliations

  1. St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg, Russia

    L. A. Molotkov & A. A. Mukhin

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  1. L. A. Molotkov
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  2. A. A. Mukhin
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Correspondence to L. A. Molotkov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 369, 2009, pp. 127–142.

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Molotkov, L.A., Mukhin, A.A. Investigation of normal waves in a porous layer surrounded by elastic half-spaces. J Math Sci 167, 670–679 (2010). https://doi.org/10.1007/s10958-010-9953-6

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  • DOI: https://doi.org/10.1007/s10958-010-9953-6

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