# The linear Boltzmann equation in column experiments of porous media

## TL;DR

This paper demonstrates that the linear Boltzmann equation effectively models transport phenomena in porous media column experiments, and derives the advection-diffusion equation as a limiting case.

## Contribution

It introduces the linear Boltzmann equation as a new modeling approach for porous media transport and connects it to classical advection-diffusion models.

## Key findings

- Breakthrough curves are accurately reproduced by the linear Boltzmann equation.
- The advection-diffusion equation is derived as an asymptotic limit.
- The approach bridges microscopic transport and macroscopic modeling.

## Abstract

The use of the linear Boltzmann equation is proposed for transport in porous media in a column. By column experiments, we show that the breakthrough curve is reproduced by the linear Boltzmann equation. The advection-diffusion equation is derived from the linear Boltzmann equation in the asymptotic limit of large propagation distance and long time.