The Problem of Anomalous Filtration and Solute Transport in an Inhomogeneous Porous Medium

Authors

  • Makhmudov J.M Samarkand State University, Samarkand, Uzbekistan
  • Sulaymonov F.U Jizzakh State Pedagogical University, Jizzakh, Uzbekistan
  • Usmonov A.I Samarkand State University, Samarkand, Uzbekistan
  • Kuljanov J.B. Samarkand State University, Samarkand, Uzbekistan

Keywords:

anomalous Darcy's law, fractional derivative, solute transport, filtration

Abstract

The problem of anomalous transport and filtration of substance in a porous medium with a fractal structure is posed and numerically solved. The piezoconductivity equation proposed as fractional differential equations based on the anomalous Darcy law is proposed. The profiles of changes in the concentration of suspended particles, pressure and filtration velocity are determined. Various transport and filtration characteristics evaluated

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Published

2023-02-28

Issue

Vol. 15 (2023): EJPCM

Section

Articles

How to Cite

The Problem of Anomalous Filtration and Solute Transport in an Inhomogeneous Porous Medium. (2023). Eurasian Journal of Physics,Chemistry and Mathematics, 15, 64-73. https://geniusjournals.org/index.php/ejpcm/article/view/3521