Modeling the Process of Anomalous Solute Transport in a Porous Medium based on a Fractional Balance Equation
Аннотация
The paper explores a mathematical model for the anomalous solute transport within a porous medium. This model encompasses the mass balance equation and the kinetic equation. To solve the problem, a numerical algorithm for computer experimentation is developed on the basis of the finite difference method. Based on numerical results, the main characteristics of solute transport in a porous medium are established. Influences of model parameters on the transport and deposition of suspended particles of suspension in porous media are analysed. The anomalies of solute transport and the multi-stage nature of deposition kinetics can induce effects that differ from those typically observed in the normal solute transport with single-stage particle deposition kinetics.