Geodesic
Seismic in composite media: elastic and poroelastic components
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 75-88

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In the present paper we consider elastic and poroelastic media having a common interface. We derive the macroscopic mathematical models for seismic wave propagation through these two different media as a homogenization of the exact mathematical model at the microscopic level. They consist of seismic equations for the each component and boundary conditions at the common interface, which separates different media. To do this we use the two-scale expansion method in the corresponding integral identities, defining the weak solution. Our results we illustrate with the numerical implementations of the inverse problem for the simplest model.
Keywords: seismic, two-scale expansion method, full wavefield inversion, numerical simulation. 
@article{SEMR_2016_13_a90,
     author = {A. Meirmanov and S. Mukhambetzhanov and M. Nurtas},
     title = {Seismic in composite media: elastic and poroelastic components},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {75--88},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a90/}
}
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A. Meirmanov; S. Mukhambetzhanov; M. Nurtas. Seismic in composite media: elastic and poroelastic components. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 75-88. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a90/