Geodesic
About the matrix method in the theory of wave propagation in layered porous Biot media
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 29, Tome 264 (2000), pp. 197-216 
L. A. Molotkov. About the matrix method in the theory of wave propagation in layered porous Biot media. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 29, Tome 264 (2000), pp. 197-216. http://geodesic.mathdoc.fr/item/ZNSL_2000_264_a13/
@article{ZNSL_2000_264_a13,
     author = {L. A. Molotkov},
     title = {About the matrix method in the theory of wave propagation in layered porous {Biot} media},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {197--216},
     year = {2000},
     volume = {264},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_264_a13/}
}
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Wave propagation in porous Biot media with homogeneous isotropic layers is investigated by matrix method. In order to use this method the matrices describing porous layers and half-spaces are established. On the basic of these matrices the wave fields in layered porous media are derived and explored. In this paper the matrices of inhomogeneous porous layers are determined also and these matrices are expressed by convergent series.