Anomalous Solute Transport in an Element of a Fractured-Porous Medium with Memory Effects
DOI:
https://doi.org/10.71310/pcam.3_67.2025.01Keywords:
diffusion, fractional derivatives, flow rate, fractured-porous medium, matrixAbstract
Fractured porous media (FPM) in theoretical investigations is considered as a system of fractures and adjacent porous blocks (matrix). In such media, solute transport occurs mainly through the fracture system with mass transfer in porous blocks. In this work, the problem of solute transport through an element of FPM is studied, taking into account the memory effects. The medium consists of a single fracture and a porous block (matrix) bordering it. The problem was solved numerically using the finite difference method with Caputo’s definition of fractional derivatives. Based on the numerical results, concentration profiles in the fracture and matrix were obtained. The influence of the fractional order of derivatives on the distribution of concentration is shown. The current, total and summing flow rates of the solute from the fracture into the matrix were also determined.
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