title: Mass transport subject to time-dependent flow with nonuniform sorption in porous media.
abstract: 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.
authors.affiliation: Université d'Avignon et des Pays de Vaucluse, UMR 1114 EMMAH, 84018 Avignon Cedex, France. mcneel@avignon.inra.fr
authors.forename: Marie-Christine
authors.initials: MC
authors.lastname: Néel
authors.forename: Andrea
authors.initials: A
authors.lastname: Zoia
authors.forename: Maminirina
authors.initials: M
authors.lastname: Joelson
mesh_terms: D000465:Algorithms; D001703:Biophysics / Q000379:methods*; D003198:Computer Simulation; D017709:Fractals; D015233:Models, Statistical; D009010:Monte Carlo Method; D009068:Movement; D016011:Normal Distribution; D016062:Porosity; D011336:Probability; D013997:Time Factors