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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.
Received: 15.03.2022 Accepted: 31.05.2022
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
Linking options:
https://www.mathnet.ru/eng/svfu347 https://www.mathnet.ru/eng/svfu/v29/i2/p19
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Abstract page: | 26 | Full-text PDF : | 18 |
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