Equations of nonisothermal filtration in fast processes in elastic porous media |
| |
Authors: | A M Meirmanov |
| |
Institution: | (1) 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.
__________
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 4, pp. 113–129, July–August, 2008. |
| |
Keywords: | nonisothermal Stokes and Lamé equations hydraulic fracture two-scale convergence averaging of periodic structures |
本文献已被 SpringerLink 等数据库收录! |
|