About the main mathematical models of Filtration Theory.

Abstract

The paper provides an overview of the existing mathematical models of inhomogeneous fluids in porous media.
And also the study of the dependence of the change in the free boundary on the rate of propagation of an inhomogeneous
solution on external parameters, such as temperature and pressure.
The main research methods are classical methods of mathematical physics, functional analysis and methods of
calculating the theory of partial differential equations, difference methods.
The number of scientific works devoted to the study of porous structures has increased recently. This is due, first of
all, to the fact that the problems of oil and uranium production have emerged, and the time has come to resolve
environmental problems. Therefore, a new apparatus is required to develop models for the filtration of liquids. With the
advent and development of computer technology, it has become easier to solve problems that require numerical methods
for their solution.
Currently, rock leaching is described by a wide range of mathematical models at the macroscopic level. The main
mechanisms of physical processes are concentrated on the free boundary between the pore space and the soil skeleton.
Currently, rock leaching is described by a wide range of mathematical models at the macroscopic level.