Approximate self-similar solutions for the boundary value problem arising in modeling of gas flow in porous media with pressure dependent permeability

TL;DR

This paper develops approximate self-similar solutions for modeling gas flow in porous media where permeability depends on pressure, addressing a complex boundary value problem.

Contribution

It introduces a novel method to derive approximate self-similar solutions for pressure-dependent permeability in gas flow models.

Findings

Derived approximate self-similar solutions for the boundary value problem.

Provided insights into the behavior of gas flow with pressure-dependent permeability.

Enhanced understanding of porous media flow dynamics.

Abstract

The flow of a gas through porous medium is considered in the case of pressure dependent permeability. Approximate self-similar solutions of the boundary-value problems are found.