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Solute Transport in the Element of Fractured Porous Medium with an Inhomogeneous Porous Block

1
Department of Mathematical Modeling, Samarkand State University, Samarkand 140100, Uzbekistan
2
Department of Physics, Jizzakh Polytechnic Institute, Jizzakh 140300, Uzbekistan
3
Department of Mathematics and Institute for Mathematical Research, Universiti Putra Malaysia, Serdang 43400, Malaysia
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(6), 1028; https://doi.org/10.3390/sym12061028
Received: 19 May 2020 / Revised: 10 June 2020 / Accepted: 15 June 2020 / Published: 18 June 2020
In this paper, the problem of solute transport in a fractured-porous medium taking into account the non-equilibrium adsorption kinetic is studied. The solute transport in fractured-porous medium consisting of two fractures and a porous block between them located in a symmetric form is considered. The problem is then solved numerically by using the finite difference method. Based on the numerical results, the solute concentration and adsorption fields in the fractures and porous blocks are shown in graphical form. The effect of adsorption on the solute transport in a fractured-porous medium is then analyzed. In the case of different parameters in two zones, asymmetric distribution of the solute concentration and adsorption is obtained. The nonlinear kinetics of adsorption leads to an increase in the adsorption effects, conversely slowing down the rate of the distribution of concentration of the solute in the fluid. View Full-Text
Keywords: adsorption; diffusion; non-equilibrium adsorption; asymmetric concentration distribution; porous block; fractured-porous medium adsorption; diffusion; non-equilibrium adsorption; asymmetric concentration distribution; porous block; fractured-porous medium
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Khuzhayorov, B.; Mustofoqulov, J.; Ibragimov, G.; Md Ali, F.; Fayziev, B. Solute Transport in the Element of Fractured Porous Medium with an Inhomogeneous Porous Block. Symmetry 2020, 12, 1028.

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