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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2013 Volume 25, Number 12, Pages 44–49 (Mi mm3428)

Anomalous diffusion simulation of the effects for drainage systems

N. M. Kashchenko, M. A. Nikitin

Kant Baltic State University

Abstract: A model of filtration in a drainage system that takes into account the anomalous diffusion normality moisture transfer in soil caused by the fractal properties of the medium is considered. It is shown that the use of fractal models of filtration of the soil leads to better compliance with the calculation results of the groundwater profiles with the experimental data.

Keywords: mathematical modeling, anomalous diffusion, fractal geometry, partial differential equations of fractional derivatives, filtration.

UDC: 519.6:631.616

Received: 14.06.2012
Revised: 18.02.2013


 English version:
Mathematical Models and Computer Simulations, 2014, 6:4, 337–341

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