Acoustics of a Stratified Poroelastic Composite
Author(s) -
Robert P. Gilbert,
Alexander Panchenko
Publication year - 1999
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/924
Subject(s) - poromechanics , acoustics , composite number , geology , materials science , geotechnical engineering , composite material , physics , porous medium , porosity
In this paper we discuss the acoustic boundary layer problem for a poroelastic seabed abutting onto a liquid half space. The problem is addressed using the method of homogenization where the microscopic equations are modelled after Burridge and Keller [5], Levy [10], and Panasenko [13]. A difference in our approach is that we do not consider the viscosity coefficients to be dependent on the pore size. To achieve continuity of displacement and stress at the interface to an arbitrary asymptotic order, we introduce correctors of two different types on each side. Then correctors of different types are matched across the interface.
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