Geodesic
The effective models of the stratified media containing porous Biot layers
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 26, Tome 239 (1997), pp. 140-163

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The periodic stratified media with alternating layers are investigated in three cases, when a period consists of: 1) two different porous Biot layers, 2) porous and elastic layers, 3) porous and fluid layers. In the case of alternating porous layers the effective model is proved to be generalized transversaly isotropic Biot medium. In this medium fluid density and averaged density are tensors. The effective model of stratified porous-fluid medium is a partial case of generalized transversaly isotropic Biot model and a generalization of effective model of layered fluid-solid medium. 
@article{ZNSL_1997_239_a13,
     author = {L. A. Molotkov and A. V. Bakulin},
     title = {The effective models of the stratified media containing porous {Biot} layers},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {140--163},
     publisher = {mathdoc},
     volume = {239},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a13/}
}
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L. A. Molotkov; A. V. Bakulin. The effective models of the stratified media containing porous Biot layers. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 26, Tome 239 (1997), pp. 140-163. http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a13/