Abstract
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.
Highlights
The problem of solute transport and the fluid flow in porous [1,2,3] and fractured-porous media (FPM) [4,5,6] in recent years has received great attention. This is due to various applications where the processes of solute transport and fluid flow in the FPM are the basis of industrial, pilot industrial works on the utilization of various wastes in underground reservoirs [7,8] and the intensification of oil production by water flooding with various dissolved substances into reservoirs with fractured porous collectors [9]
The process of solute transport in FPM is described by a combination of convective-diffusion transport, which is dominant in fractures, and diffusion transport, which is dominant in porous blocks
The process of solute transport in a system of parallel fractures located in a porous matrix was studied in [32], which takes into account advection transport, molecular diffusion and mechanical dispersion in a fracture, molecular diffusion from fractures into the matrix, adsorption on the surface and inside the matrix, and radioactive decay of the substance
Summary
The problem of solute transport and the fluid flow in porous [1,2,3] and fractured-porous media (FPM) [4,5,6] in recent years has received great attention. A large number of works [10,11,12] are devoted to the problems of hydrodynamic modeling of the processes of solute transport in porous media. The effects of heterogeneity on the processes of solute transport were studied using various permeability distributions, which are characterized as continuous and discontinuous models [31]. The process of solute transport in a system of parallel fractures located in a porous matrix was studied in [32], which takes into account advection transport, molecular diffusion and mechanical dispersion in a fracture, molecular diffusion from fractures into the matrix, adsorption on the surface and inside the matrix, and radioactive decay of the substance. The role of adsorption and heterogeneity of the porous block on the characteristics of solute transport is estimated
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