In this paper, we obtain the continuous dependence and convergence results for the Brinkman and Forchheimer coefficients of a differential equation that models the flow of fluid in a saturated porous medium.

A one-dimensional analytical solution is derived for free swelling and consolidation of a saturated charged porous medium. The derived equations describe infinitesimal deformation of charged porous media saturated with a fluid with dissolved cations and anions. In the one-dimensional case the governing equations reduce to a coupled diffusion equations for electrochemical potentials. Suitable in...

The propagation of plane longitudinal waves in a fluid-saturated porous medium with cavities is considered linear elastic approximation. It has been shown that as distinct from the classical (Biot's medium) where two dispersionless can propagate (a fast wave and slow wave), porous-cavity media three dispersive one them solely induced due to material. study carried out by obtaining analyzing dis...

In case of porous fluid-saturated medium the Biot’s poroelasticity theory predicts a movement of the pore fluid relative to the skeleton on seismic wave propagation through the medium. This phenomenon opens an opportunity for investigation of the flow properties of the hydrocarbon-saturated reservoirs. It is well known that relative fluid movement becomes negligible at seismic frequencies if po...

In this paper, the effect of consolidation soil structure on fractality fluid flow was evaluated. The equation fractal law in porous medium under two-phase, fully fluid-saturated determined. Given all simplifications, as well undoubted importance nature medium, which primarily determine possible processes both and based results studies, we can conclude that a homogeneous reservoir at given para...