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Numerical simulation for solute transport in fractal porous media

Liu, Fawang, Anh, Vo, Turner, Ian, & Zhuang, Pinghui (2004) Numerical simulation for solute transport in fractal porous media. ANZIAM Journal, 45, C461-C473.

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Abstract

A modified Fokker-Planck equation with continuous source for solute transport in fractal porous media is considered. The dispersion term of the governing equation uses a fractional-order derivative and the diffusion coefficient can be time and scale dependent. In this paper, numerical solution of the modified Fokker-Planck equation is proposed. The effects of different fractional orders and fractional power functions of time and distance are numerically investigated. The results show that motions with a heavy tailed marginal distribution can be modelled by equations that use fractional-order derivatives and/or time and scale dependent dispersivity.

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ID Code: 22238
Item Type: Journal Article
Additional URLs:
ISSN: 1446-1811
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Deposited On: 17 Jun 2009 23:08
Last Modified: 11 Mar 2012 13:27

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