Abstract
The process of anomalous solute transport in a porous medium is modeled by differential equations with a fractional derivative. The problem of the solute transport in a two-zone porous medium consisting of macropores and micropores. The profiles of changes in the concentrations of suspended particles in the macropore and micropore were determined. The influence of the order of the derivative with respect to the space and time coordinates is estimated, i.e. fractal dimension of the medium, on the characteristics of the solute transport in both zones.
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Khuzhayorov, B., Usmonov, A., Kholliev, F. (2023). Numerical Solution of Anomalous Solute Transport in a Two-Zone Fractal Porous Medium. In: Alikhanov, A., Lyakhov, P., Samoylenko, I. (eds) Current Problems in Applied Mathematics and Computer Science and Systems. APAMCS 2022. Lecture Notes in Networks and Systems, vol 702. Springer, Cham. https://doi.org/10.1007/978-3-031-34127-4_10
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