2008/12/31 by Andrea Zoia, Christelle Latrille, Alain Cartalade · 8 citations
Decision Sciences · Environmental Science · Mathematics · Physics and Astronomy · #Continuous-time random walk #Environmental science #Geology #Geotechnical engineering #Groundwater flow and contamination studies #Mathematics #Mechanics #Monte Carlo method #Nonlinear system #Physics #Porosity #Porous medium #Probabilistic and Robust Engineering Design #Random walk #Statistical physics #Statistics #Wind and Air Flow Studies #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.79.041125
published in Physical Review E 79(4), 041125 (American Physical Society) · 8 pages, 9 figures
openalex publication_date 2009/04/16 · arxiv created 2009/04/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.