Molotkov, L. A. On the matrix method in the theory of wave propagation in layered Biot media. (English. Russian original) Zbl 1028.74029 J. Math. Sci., New York 111, No. 5, 3737-3749 (2002); translation from Zap. Nauchn. Semin. POMI 264, 197-216 (2000). Summary: Wave propagation in porous Biot media with homogeneous isotropic layers is investigated by matrix method. In order to use this method, we introduce matrices describing porous layer and half-spaces. On the basis of these matrices, the wave fields in layered porous media are examined. We also find matrices of inhomogeneous porous layers which are represented by convergent series. MSC: 74J10 Bulk waves in solid mechanics 74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) Keywords:wave propagation; porous Biot media; homogeneous isotropic layers; matrix method; convergent series PDFBibTeX XMLCite \textit{L. A. Molotkov}, J. Math. Sci., New York 111, No. 5, 1 (2000; Zbl 1028.74029); translation from Zap. Nauchn. Semin. POMI 264, 197--216 (2000) Full Text: DOI