Geodesic
About propagation of seismic waves in block elastic-fluid media. III
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 33, Tome 308 (2004), pp. 147-160 
L. A. Molotkov. About propagation of seismic waves in block elastic-fluid media. III. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 33, Tome 308 (2004), pp. 147-160. http://geodesic.mathdoc.fr/item/ZNSL_2004_308_a8/
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     author = {L. A. Molotkov},
     title = {About propagation of seismic waves in block elastic-fluid {media.~III}},
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     year = {2004},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_308_a8/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Propagation of seismic waves in block two- and three-dimensional media is investigated. These media consist of the same cells in which there are several fluid blocks and one elastic block. For these media the effective models are established. These effective models are anisotropic fluids. The formulas for the velocities of propagation in these fluids are derived and investigated. The particular investigation is fulfilled in the cases that the elastic block occupies almost the whole of the cell or that relative volume of the elastic block is very small.

[1] L. A. Molotkov, “O rasprostranenii seismicheskikh voln v blochnykh uprugo-zhidkikh sredakh, I”, Zap. nauchn. semin. POMI, 297, 2003, 230–253 | MR | Zbl

[2] L. A. Molotkov, “O rasprostranenii seismicheskikh voln v blochnykh uprugo-zhidkikh sredakh, II”, Zap. nauchn. semin. POMI, 297, 2003, 254–271 | MR | Zbl

[3] L. A. Molotkov, “O rasprostranenii seismicheskikh voln v blochnykh zhidkikh sredakh”, Zap. nauchn. semin. POMI, 308, 2004, 124–146 | MR | Zbl

[4] M. A. Biot, “Theory of propagation of elastic waves in fluid-saturated porous solid. I. Low-frequency”, J. Acoust. Soc. Am., 28:2 (1956), 168–178 | DOI | MR

[5] L. A. Molotkov, “Ob ekvivalentnosti sloisto-periodicheskikh i transversalno-izotropnykh sred”, Zap. nauchn. semin. LOMI, 89, 1979, 219–233 | MR | Zbl

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

[7] M. W. Lee, O. R. Hutchinson, T. S. Collett, W. P. Dillon, “Seismic velocities for hydrate-bearing sediments using weighted equation”, J. Geoph. Res., 101:B9 (1996), 20,347–20,358 | DOI

[8] C. F. Pearson, J. Murphy, R. Hermes, “Acoustic and resistivity measurments on rock samples containing tetrahydrofuran hydrates”, J. Geoph. Res., 91 (1986), 14,132–14,138 | DOI

[9] J. P. Castanga, M. L. Batle, R. L. Eastwood, “Relationship between compressional-wave and shear-wave velocities in elastic silicate rocks”, Geophysics, 50 (1985), 571–581 | DOI