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arXiv · 0812.1436

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

Andrea Zoia·Christelle Latrille·Alain Cartalade
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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.

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Andrea Zoia, Christelle Latrille, Alain Cartalade. 2009-04-17. A nonlinear random walk approach to concentration-dependent contaminant transport in porous media. https://doi.org/10.1103/physreve.79.041125

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