Solute Transport  in a Nonhomogeneous Porous Medium

T.O.Dzhiyanov; M.H.Turayev; G.M.Artikova; M.A.Ruziyeva

doi:10.47494/mesb.v25i.1354

(1) T.O.Dzhiyanov Samarkand State University, Samarkand, Uzbekistan
Australia
(2) M.H.Turayev Samarkand State University, Samarkand, Uzbekistan
Aruba
(3) G.M.Artikova
Bahamas
(4) M.A.Ruziyeva Samarkand State University, Samarkand, Uzbekistan,
Austria
(*) Corresponding Author

DOI:

https://doi.org/10.47494/mesb.v25i.1354

Keywords:

Samarkand State University, Samarkand, Uzbekistan

Abstract

The paper considers the solute transport in a heterogeneous porous medium consisting of well-permeable and poorly permeable zones, taking into account nonequilibrium adsorption in the zones. In a well-permeable zone, there are two areas, in each of which there is an adsorption of a substance with reversible nonequilibrium kinetics. The exchange of solute with the second zone is modeled by the source term in the form of a fractional time derivative of the concentration of the substance in the first zone. The numerical implementation of the model is carried out and the effect of mass transfer to the second zone on the characteristics of the solute transport in the first zone is estimated.

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