The problem of filtration and solute transport in a two-zone porous medium

In the paper, has been developed a mathematical model of process of anomalous solute transport in a two-zone medium. In order to solve the obtained differential equations with fractional derivatives a numerical algorithm has been developed based on finite difference method. In the one zone, anomalous convective-diffusion transfer occurs, and in other - only diffusion. The influence of the anomalous convective-diffusion on the transport characteristics is also studied. It is shown that a decrease in the order of the derivative in the diffusion term leads to an “acceleration” of the diffusion process.

Перевод пока недоступен