Investigation of the wave field in an effective model of a layered elastic-fluid medium |
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Authors: | L A Molotkov M N Perekareva |
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Institution: | (1) St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia;(2) St.Petersburg State Marine Technical University, St.Petersburg, Russia |
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Abstract: | For a medium that consists of alternating elastic and fluid layers, an effective model is constructed and investigated. This
model is a special case of the Biot medium. The wave field is represented as Fourier and Mellin integrals. In the Mellin integral,
the contour of integration is replaced by a stationary contour. In the expressions obtained, the order of integration is changed
and the inner integral is calculated. The outer integral is equal to two residues. The corresponding poles are roots of two
equations of fourth order. These roots lie on the right half-plane and may be complex or real. The representation obtained
for the wave field is in agreement with the expressions derived by the Smirnov-Sobolev method. Bibliography: 8 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 332, 2006, pp. 175–192. |
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Keywords: | |
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