imomnazarov1.pdf193.69 KB

The deformation tensor ε in a porous medium is a function of the stress tensor σ and the pore pressure ρ. Additional osmotic effects are present in some rocks, such as shales. It is shown that such effects, in turn, modify the thermodynamics of the system, namely, in terms...

imomnaz1.pdf206.16 KB

We consider a one-dimensional direct initial-boundary value problem for a nonlinear system of the poroelasticity equations. The theorem of local solvability of the classical solution to the problem is proved. The Frechet differentiability of the problem operator is proved, too.