Modelling contaminant flows in soils and aquifers

Project dates: 01/01/2000 - 31/12/2010

A class of fractional partial differential equations have been used widely as a possible explanation and simulation for regional scale anomalous dispersion with heavy tails, and include the effects of nonstationarity in highly heterogeneous aquifers.  Fractional Fokker-Planck equation, time and space nonlocalities underlying fractional models have been proposed to model the transport of passive tracers carried by fluid flow in a porous medium and contaminant flows in soils and aquifers, and to fit the tritium plumes measured at the Macrodispersion Experiment test site.

 


Funding / Grants

  • ARC SPIRT grant C10024101 (2006 - 2010)

Chief Investigators

Partners

Publications

  • S. Shen, F. Liu*, Q. Liu and V. Anh (2015) Numerical simulation of anomalous infiltration in porous media. Numerical Algorithms
  • Liu, Fawang, Zhuang, Pinghui, Burrage, Kevin (2012) Numerical methods and analysis for a class of fractional advection-dispersion models. Computers and Mathematics with Applications, 64 (10), pp.2990-3007.
  • Ilic, Milos, Turner, Ian, Liu, Fawang, Anh, Vo (2010) Analytical and numerical solutions of a one-dimensional fractional-in-space diffusion equation in a composite medium. Applied Mathematics and Computation, 216 (8), pp.2248-2262.
  • Q. Liu and F. Liu (2009) Modified alternating direction methods for solving a two-dimensional non-continuous seepage flow with fractional derivatives in uniform media. Mathematica Numerica Numerica Sinica
  • Liu, Fawang, Anh, Vo, Turner, Ian, Zhuang, P (2004) Numerical simulation for solute transport in fractal porous media. The ANZIAM Journal, 45, pp.461-473.
  • Liu, Fawang, Anh, Vo, Turner, Ian (2004) Numerical solution of the space fractional Fokker-Planck equation. Journal of Computational and Applied Mathematics, 166, pp.209-219.
  • Liu, Fawang, Anh, Vo, Turner, Ian, Bajracharya, Kiran, Huxley, W, Ninghu, Ninghu (2006) A finite volume simulation model for saturated–unsaturated flow and application to Gooburrum, Bundaberg, Queensland, Australia. Applied Mathematical Modelling, 30 (4), pp.352-366.

Saltwater intrusion is an important environmental problem for coastal aquifers of  Queensland, Australia.

A control volume unstructured mesh finite-element method is developed for simulating saltwater intrusion in a heterogeneous coastal aquifer system.