We consider filtration of a suspension in a homogeneous porous medium which is described
by a macroscopic 1-D model including the mass exchange equation and the kinetic …

In the paper a mathematical model of two component suspension filtration in a porous
medium with multistage deposition kinetics is considered. The model includes dynamic …

Many phenomena in nature and technology are associated with the filtration of suspensions
and colloids in porous media. Two main types of particle deposition, namely, cake filtration …

Thepaperexploresamathematicalmodelofth…-componentsuspensionwithinaporous medium
characterized by two distinct zones. This model encompasses mass balance equations of …

The fine particle liquid–solid flow in porous media is involved in many industrial processes
such as oil exploitation, geothermal reinjection and particle filtration. Understanding the …

In this work, the boundary inverse problem of fluid filtration in porous media under elastic
conditions is numerically solved. Marching methods were used to solve the problem. Two …

The primary objective of this paper is to apply the Adomian decomposition method and
variational iteration methods to approximate and find exact solutions for higher-order …

In this work, the boundary inverse problem for the equation of relaxation filtration of liquid in
porous media under elastic conditions is numerically solved. To solve the inverse problem …

The manuscript considers the numerical solution of the multi-term time fractional diffusion
equations in a finite region. We know that anomalous solute transport is modeled by …

In this work, we construct a hybrid model of mass transport in porous media. In this case, the
mathematical model of suspension filtration (cake filtration) forming a cake layer is" stitched" …