Linear transport in porous media

TL;DR

This paper develops a linear transport model for tracer particles in porous media, incorporating advection, and solves it numerically using analytical discrete ordinates and double-exponential inverse Laplace transform methods.

Contribution

It introduces a numerical solution approach for the linear transport equation in porous media with advection, combining discrete ordinates and double-exponential inverse Laplace transform.

Findings

Effective numerical solution for tracer transport in porous media.

Inclusion of advection in the transport model.

Accurate inverse Laplace transform method employed.

Abstract

The linear transport theory is developed to describe the time dependence of the number density of tracer particles in porous media. The advection is taken into account. The transport equation is numerically solved by the analytical discrete ordinates method. For the inverse Laplace transform, the double-exponential formula is employed.