Geodesic
Investigation of low frequency normal waves in Biot layer surrounded by an elastic medium
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 38, Tome 369 (2009), pp. 110-126 Cet article a éte moissonné depuis la source Math-Net.Ru

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The porous Biot layer surrounded by two elastic half-plates is considered. For this medium, two dispersion equations are established. These dispersion equations correspond to symmetric and antisymmetric parts of the medium. The investigation of these equations is fulfilled in region of low frequencies. The imaginary roots of these equations in this region determine the low frequency normal waves. Bibl. – 6 titles. 
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L. A. Molotkov. Investigation of low frequency normal waves in Biot layer surrounded by an elastic medium. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 38, Tome 369 (2009), pp. 110-126. http://geodesic.mathdoc.fr/item/ZNSL_2009_369_a5/

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[2] M. A. Biot, “Theory of elastic waves in fluid-saturated porous solid. II. High frequency range”, J. Acoust. Soc. Amer., 28 (1956), 179–191 | DOI | MR

[3] T. Bourbie, O. Coussy, B. Zinzner, Acoustic of Porous Media, Paris, 1987

[4] L. A. Molotkov, Issledovanie rasprostraneniya voln v poristykh i treschinovatykh sredakh na osnove effektivnykh modelei Bio i sloistykh sred, Nauka, SPb, 2001

[5] L. A. Molotkov, “Rasprostranenie voln v izolirovannom poristom sloe Bio s zakrytymi porami na granitsakh”, Zap. nauchn. semin. POMI, 354, 2008, 173–189 | MR | Zbl

[6] L. A. Molotkov, A. A. Mukhin, “Issledovanie normalnykh voln v poristom sloe, okruzhennom uprugoi sredoi”, Zap. nauchn. semin. POMI, 369, 2009, 127–142 | MR