Effective model of a~porous-fluid medium
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 37, Tome 354 (2008), pp. 190-211
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For the medium containing alternating porous Biot layers and fluid layers, the effective model is established by the method of matrix averaging. The investigation of equations of this effective model shows that the wave field consists of the leading front and two triangular fronts. The velocities of these fronts along the axes are determined. If thicknesses of the fluid layers are very small then the second triangular front turns into back concave front and a slow wave arises. This slow wave is of interest for seismics. Bibl. – 11 titles, fig. – 5.
@article{ZNSL_2008_354_a9,
author = {L. A. Molotkov},
title = {Effective model of a~porous-fluid medium},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {190--211},
publisher = {mathdoc},
volume = {354},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a9/}
}
L. A. Molotkov. Effective model of a~porous-fluid medium. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 37, Tome 354 (2008), pp. 190-211. http://geodesic.mathdoc.fr/item/ZNSL_2008_354_a9/