Transport in chemically and mechanically heterogeneous porous media: V. Two-equation model for solute transport with adsorption |
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Institution: | 1. Department of Geotechnical Engineering and Geosciences, Universitat Politècnica de Catalunya, c/ Jordi Girona 18, Barcelona 08034, Spain;2. Associated Unit: Hydrogeology Group (UPC-CSIC) |
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Abstract: | In this paper we develop the two-equation model for solute transport and adsorption in a two-region model of a mechanically and chemically heterogeneous porous medium. The closure problem is derived and the coefficients in both the one- and two-equation models are determined on the basis of the Darcy-scale parameters. Numerical experiments are carried out for a stratified system at the aquifer scale, and the results are compared with the one-equation model presented in Part IV and the two-equation model developed in this paper. Good agreement between the two-equation model and the numerical experiments is obtained. In addition, the two-equation model is used, in conjunction with a moment analysis, to derive a one-equation, non-equilibrium model that is valid in the asymptotic regime. Numerical results are used to identify the asymptotic regime for the one-equation, non-equilibrium model. |
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