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Mathematical notes of NEFU, 2022, Volume 29, Issue 2, Pages 19–30
DOI: https://doi.org/10.25587/SVFU.2022.10.86.002
(Mi svfu347)
 

Mathematics

On an inverse dynamic poroelasticity problem for a layered medium

Kh. Kh. Imomnazarova, L. Kh. Khujaevb, Z. Sh. Yangiboevc

a Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk
b Karshi Branch of Tashkent University of Information Technologies
c Qarshi Davlat Univesity
Abstract: An inverse dynamic problem of poroelasticity of piecewise-smooth shear coeficient with respect to additional information about vibrations of free surface points is considered. The Gupill hypothesis of equal propagation time of perturbations through the layers of a porous medium saturated with liquid is assumed fulfilled. Recursive formulas for recovering the unknown shift coeficient are obtained.
Keywords: seismic waves, porosity equations, shear modulus, Darcy coefficient, half-space, viscous liquid.
Funding agency Grant number
Russian Foundation for Basic Research 21-51-15002
Received: 15.03.2022
Accepted: 31.05.2022
Document Type: Article
UDC: 517.95
Language: Russian
Citation: Kh. Kh. Imomnazarov, L. Kh. Khujaev, Z. Sh. Yangiboev, “On an inverse dynamic poroelasticity problem for a layered medium”, Mathematical notes of NEFU, 29:2 (2022), 19–30
Citation in format AMSBIB
\Bibitem{ImoKhuYan22}
\by Kh.~Kh.~Imomnazarov, L.~Kh.~Khujaev, Z.~Sh.~Yangiboev
\paper On an inverse dynamic poroelasticity problem for a layered medium
\jour Mathematical notes of NEFU
\yr 2022
\vol 29
\issue 2
\pages 19--30
\mathnet{http://mi.mathnet.ru/svfu347}
\crossref{https://doi.org/10.25587/SVFU.2022.10.86.002}
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