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Solute Transport in a Nonhomogeneous Porous Medium

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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.


 

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.


 

Keywords

Samarkand State University
Samarkand
Uzbekistan

Declarations

Conflict of Interest Statement

The author (s) declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.

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Cite this article as:

T.O.Dzhiyanov, M.H.Turayev, G.M.Artikova, & M.A.Ruziyeva. (2022). Solute Transport in a Nonhomogeneous Porous Medium. Middle European Scientific Bulletin, 25, 69-79. Retrieved from https://cejsr.academicjournal.io/index.php/journal/article/view/1354
  • Submitted
    9 June 2022
  • Revised
    9 June 2022
  • Published
    9 June 2022