NON-ISOTHERMAL FILTRATION AND SEISMIC ACOUSTIC IN POROUS SOILS: THERMO-VISCOELASTIC AND LAME EQUATIONS

摘要

The paper considers the linear system of differential equations describing the simultaneous motion of an incompressible elastic porous body and an incompressible fluid filling in the pores. The model considered is very complicated, since the basic differential equations contain nondifferentiable rapidly oscillating small and large coefficients under the derivative signs. On the basis of the Nguetseng two-scaled convergence, the author suggests a correct deduction of averaged equations which are either the thermo-viscoelasticity system of equations (connected pore space) or the anisotropic Lame system of thermoelasticity.