Modeling Transport in Dual-Permeability Media with Unequal Dispersivity and Velocity

Abstract

Porous media such as fractured rock and aggregated soils consist of two pore domains with distinct transport properties.A numerical code was developed to simulate solute concentrations in the two domains using a partitioned solution procedure to efficientlymodel transport in dual-permeability media. Furthermore, an approximate analytical solution was obtained that allows for different advectiveand dispersive terms in both flow domains, for a first-type or a third-type inlet condition. Solutions were obtained for local concentrationsin both domains as well as effluent concentration and the concentration per medium volume. The problem was solved by decoupling thetransport equations using diagonalization. This involves an error for the dispersivity matrix that is related to the difference in dispersivity ofboth domains. The correctness of the solution was assessed by comparison with numerical results. For low Damköhler numbers the solutionwas accurate even for a dispersivity ratio of 10. The need for a dual-dispersivity instead of a single-dispersivity model was illustrated withsample breakthrough curves and the solution was applied to optimize experimental breakthrough curves for an Andisol with a distinct intraaggregateand interaggregate porosity.


Tutti gli autori

  • A. Sciortino; F.J. Leij; M.C. Caputo; N. Toride

Titolo volume/Rivista

Journal of hydrologic engineering


Anno di pubblicazione

2014

ISSN

1084-0699

ISBN

Non Disponibile


Numero di citazioni Wos

Nessuna citazione

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Settori ERC

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Codici ASJC

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