Abstract
Effective models of periodic layered porous Biot media possessing viscosity and relaxation are established and investigated. These models correspond to generalized Biot media with equations containing, as a rule, exponential kernels of relaxation and viscosity. Such kernels occur even if relaxation is absent in the initial medium. Inequalities that must be satisfield by the parameters of the kernels are established with the help of energy studies. Special cases in which the effective models possess no viscosity or no relaxation are stated. Bibliography: 7 titles.
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References
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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 250, 1998, pp. 244–262.
Translated by L. A. Molotkov
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Molotkov, L.A., Bakulin, A.V. On attenuation in layered biot media and in effective models of them. J Math Sci 102, 4291–4303 (2000). https://doi.org/10.1007/BF02673859
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DOI: https://doi.org/10.1007/BF02673859