2009/07/16 by Marie-Christine Néel, Andrea Zoia, Maminirina Joelson · 14 citations
Chemistry · Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Chemistry #Flow (mathematics) #Fractal #Geology #Geotechnical engineering #Groundwater flow and contamination studies #Mathematical analysis #Mathematics #Mechanics #Monte Carlo method #Particle (ecology) #Physics #Porosity #Porous medium #Scale (ratio) #Soil and Unsaturated Flow #Sorption #Statistical physics #Statistics #TRACER #Tracking (education) #Urban Stormwater Management Solutions #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.80.056301
published in Physical Review E 80(5), 056301 (American Physical Society) · 13 pages, 5 figures
arxiv created 2009/07/16 · openalex publication_date 2009/11/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We address the description of solutes flow with trapping processes in porous media. Starting from a small-scale model for tracer particle trajectories, we derive the corresponding governing equations for the concentration of the mobile and immobile phases within a fractal mobile-immobile model approach. We show that this formulation is fairly general and can easily take into account nonconstant coefficients and in particular space-dependent sorption rates. The transport equations are solved numerically and a comparison with Monte Carlo particle-tracking simulations of spatial contaminant profiles and breakthrough curves is proposed, so as to illustrate the obtained results.