English

A nonlinear random walk approach to concentration-dependent contaminant transport in porous media

Statistical Mechanics 2009-04-17 v2

Abstract

We propose a nonlinear random walk model to describe the dynamics of dense contaminant plumes in porous media. A coupling between concentration and velocity fields is found, so that transport displays non-Fickian features. The qualitative behavior of the pollutant spatial profiles and moments is explored with the help of Monte Carlo simulation, within a Continuous Time Random Walk approach. Model outcomes are then compared with experimental measurements of variable-density contaminant transport in homogeneous and saturated vertical columns.

Keywords

Cite

@article{arxiv.0812.1436,
  title  = {A nonlinear random walk approach to concentration-dependent contaminant transport in porous media},
  author = {Andrea Zoia and Christelle Latrille and Alain Cartalade},
  journal= {arXiv preprint arXiv:0812.1436},
  year   = {2009}
}

Comments

8 pages, 9 figures