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Double Porosity Models for Absolutely Rigid Body via Reiterated Homogenization
Anvarbek Meirmanov
Double porosity models for the liquid filtration in an absolutely rigid body is derived from homogenization theory. The governing equations of the fluid dynamics on the microscopic…
Double Porosity Models for Liquid Filtration in Incompressible Poroelastic Media
Anvarbek Meirmanov
Double porosity models for the liquid filtration in a naturally fractured reservoir is derived from the homogenization theory. The governing equations on the microscopic level cons…
Homogenized models for a short-time filtration and for acoustic waves propagation in a porous media
Anvarbek Meirmanov
We consider a linear system of differential equations describing a joint motion of elastic porous body and fluid occupying porous space. The rigorous justification, under various c…
Darcy's law for a compressible thermofluid
Anvarbek Meirmanov
A linear system of differential equations describing a joint motion of a thermoelastic porous body with a sufficiently large Lame's constants (absolutelty rigid body) and a thermof…
Acoustic and Filtration Properties of Thermo-elastic porous medium: Biot's Equations of Thermo- Poroelasticity
Anvarbek M. Meirmanov
A linear system of differential equations describing a joint motion of thermo-elastic porous body and incompressible thermo-fluid occupying porous space is considered. Although the…
Nguetseng's Two-scale Convergence Method For Filtration and Seismic Acoustic Problems in Elastic Porous Media
Anvarbek M. Meirmanov
A linear system of differential equations describing a joint motion of elastic porous body and fluid occupying porous space is considered. Although the problem is linear, it is ver…