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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2008, Volume 49, Issue 4, Pages 113–129
(Mi pmtf1933)
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Equations of nonisothermal filtration in fast processes in elastic porous media
A. M. Meirmanov Belgorod State University, Belgorod, 308015, Russia
Abstract:
The problem of the nonisothermal joint motion of an elastic porous body and the fluid filling the pores is considered for the case where the duration of the physical process is fractions of a second. A rigorous derivation of averaged equations (equations not containing fast oscillating coefficients) based on the Nguetseng two-scale convergence method is proposed. For various combinations of physical parameters of the problem, these equations include anisotropic nonisothermal Stokes equations for the velocity of the fluid component and the equations of nonisothermal acoustics for the displacements of the solid component or anisotropic nonisothermal Stokes equations for a single-velocity continuum.
Keywords:
nonisothermal Stokes and Lamé equations, hydraulic fracture, two-scale convergence, averaging of periodic structures.
Received: 11.07.2007 Accepted: 29.08.2007
Citation:
A. M. Meirmanov, “Equations of nonisothermal filtration in fast processes in elastic porous media”, Prikl. Mekh. Tekh. Fiz., 49:4 (2008), 113–129; J. Appl. Mech. Tech. Phys., 49:4 (2008), 614–628
Linking options:
https://www.mathnet.ru/eng/pmtf1933 https://www.mathnet.ru/eng/pmtf/v49/i4/p113
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Abstract page: | 14 | Full-text PDF : | 10 |
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