Numerical simulation for solute transport in fractal porous media

Authors

  • F. Liu
  • V. Anh
  • I. Turner
  • P. Zhuang

DOI:

https://doi.org/10.21914/anziamj.v45i0.901

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.

Published

2004-06-16

Issue

Section

Proceedings Computational Techniques and Applications Conference