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A fractal R-C circuit model for the current flowing in porous media

ABSTRACT
The current flows in a porous media is a very complex nature phenomenon, and it is very difficult to establish its mathematical model with the traditional definition of derivative. In this paper, the fractal R-C circuit of porous media is successfully established based on He's fractal derivative, and the two-scale transform is adopted to solve the fractal circuit. In this fractal R-C circuit, the fractal dimension represents the effective porosity of the two plates of the capacitor, and the influence of its value on the fractal R-C circuitis also elaborated.
KEYWORDS
PAPER SUBMITTED: 2020-03-01
PAPER REVISED: 2020-06-10
PAPER ACCEPTED: 2020-06-12
PUBLISHED ONLINE: 2021-01-31
DOI REFERENCE: https://doi.org/10.2298/TSCI200301049W
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