Geodesic
On the wave attenuation in the effective model describing porous and fractured media saturated by fluid
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 32, Tome 297 (2003), pp. 216-229

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The wave attenuation is introduced into the effective model of media consisting of alternating elastic and fluid layers. This attenuation is connected with friction on boundaries between elastic and fluid layers and is described by additional terms in the equations of the effective model. Investigation of these equations allows to derive expressions of attenuation coefficients for every body wave propagating along the layers. 
@article{ZNSL_2003_297_a12,
     author = {L. A. Molotkov},
     title = {On the wave attenuation in the effective model describing porous and fractured media saturated by fluid},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {216--229},
     publisher = {mathdoc},
     volume = {297},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_297_a12/}
}
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L. A. Molotkov. On the wave attenuation in the effective model describing porous and fractured media saturated by fluid. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 32, Tome 297 (2003), pp. 216-229. http://geodesic.mathdoc.fr/item/ZNSL_2003_297_a12/