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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2009 Volume 369, Pages 127–142 (Mi znsl3524)

This article is cited in 1 paper

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

L. A. Molotkov, A. A. Mukhin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

Abstract: The wave field and dispersion equations are established for the porous layer surrounded by two elastic half-spaces. The porous layer is described by the effective model of the medium in which elastic and fluid layers alternate. In order to investigate the normal waves, all real roots of dispersion equations are determined and their movements with increasing wave number are investigated. As a result, the dispersion curves of all normal waves are constructed and dependence of the normal waves on the parameters of the porous layer and the elastic half-spaces is analyzed. Bibl. – 6 titles.

Key words and phrases: normal waves, dispersion curves, effective model, alternating elastic and fluid layers.

UDC: 550.24

Received: 29.06.2009


 English version:
Journal of Mathematical Sciences (New York), 2010, 167:5, 670–679

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© Steklov Math. Inst. of RAS, 2024