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Mass transport subject to time-dependent flow with nonuniform sorption in porous media

Marie-Christine Néel1,*, Andrea Zoia2,†, and Maminirina Joelson1,‡

  • 1Université d’Avignon et des Pays de Vaucluse, UMR 1114 EMMAH, 84018 Avignon Cedex, France
  • 2CEA/Saclay, DEN/DM2S/SFME/LSET, Bât. 454, 91191 Gif-sur-Yvette Cedex, France

  • *mcneel@avignon.inra.fr
  • †andrea.zoia@cea.fr
  • ‡maminirina.joelson@univ-avignon.fr
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Phys. Rev. E 80, 056301 – Published 4 November, 2009

DOI: https://doi.org/10.1103/PhysRevE.80.056301

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.

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Phys. Rev. E 80, 056301– Published 4 November, 2009
  • Received 7 July 2009

© 2009 American Physical Society

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