An identification problem related to the Biot system
Viatcheslav PriimenkoLaboratory of Petroleum Engineering and Exploration, North Fluminense State University Darcy Ribeiro, Av. Brennand, s/n, Rod. Amaral Peixoto, km 163, Imboassica, 27925-535, Macaé, RJ, BrazilMikhail VishnevskiiLaboratory of Differential Equations and Related Problems of Analysis, Sobolev Institute of Mathematics, SB RAS, Acad. Koptyug avenue, 4, 630090, Novosibirsk, Russia; and Laboratory of Mathematical Sciences, North Fluminense State University Darcy Ribeiro, Av. Alberto Lamego, 2000, Parque Califórnia, 28013-602, Campos dos Goytacazes, RJ, Brazil
2014en
ABI
Аннотация
Abstract In this paper, we study the propagation of elastic waves in porous media governed by the Biot equations in the low frequency range. We prove the existence and uniqueness result both for the direct problem and the inverse one, which consists in identifying the unknown scalar function f ( t ) in the body density force f ( t )𝐠(𝐱, t ) acting on a poroelastic body when some additional measurement is available.
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