Direct and inverse dynamic problems for a system of equations of homogeneous elastic-porous media

A solution to a system of equations of elastic-porous media for a homogeneous space in the time and frequency domains for the case of a point source is obtained. Ray representations of waves of various types in an inhomogeneous elastic-porous medium are obtained. Inverse problems of determining the...

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Bibliographic Details
Published in:Applied mathematics letters 2004-09, Vol.17 (9), p.1097-1103
Main Authors: Alekseev, A.S., Imomnazarov, Kh.Kh, Grachev, E.V., Rakhmonov, T.T., Imomnazarov, B.Kh
Format: Article
Language:English
Subjects:
Inverse problem
Mathematical model
Method of critical component
Porous medium
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Summary:A solution to a system of equations of elastic-porous media for a homogeneous space in the time and frequency domains for the case of a point source is obtained. Ray representations of waves of various types in an inhomogeneous elastic-porous medium are obtained. Inverse problems of determining the parameters of the medium and seismic moment tensor are considered. This is done by using the information about o (1) component parts of the displacement vectors of P 1- and S-waves at a fixed point of space; (2) pressure measured at two fixed points of space for all times. The noise stability of the solutions to the inverse problems considered is investigated numerically with the use of the method of critical components.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2004.07.015