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Mass transport with sorption in porous media

Abstract : Small-scale models in the form of random walks, combining Gaussian jumps, advection by mean flow field and possibly very long sorbing durations, correspond to experimental data in many porous media, in the laboratory and in the field. Within this framework , solutes are observed in two phases, which are mobile and immobile. For such random walks, in the hydrodynamic limit, the densities of that phases are linked by a relationship involving a fractional integral. This implies that the total density of tracer evolves according to a fractional variant of Fourier's law.
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Submitted on : Wednesday, May 18, 2016 - 4:21:56 PM
Last modification on : Tuesday, March 16, 2021 - 2:34:20 PM

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J Golder, Maminirina Joelson, M.C. Neel. Mass transport with sorption in porous media. Mathematics and Computers in Simulation, Elsevier, 2011, ⟨10.1016/j.matcom.2010.12.030⟩. ⟨hal-01317624⟩

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