Numerical simulation of non-fickian diffusion and advection in a fractured porous aquifer

R. Chiba, S. Fomin, V. Chugunov, Y. Niibori, T. Hashida

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

A computer program, which enables us the calculation of the non-Fickian diffusion in a fractured porous media, has been developed. The conventional mathematical model of solute transport in a rock is based on the Fick's law. In general, rock masses contain a number of preexisting fractures. In the fractured porous media, the conventional model tends to predict smaller solute travel distance than that in the actual transport process. In contrast, the non-Fickian diffusion model, which is described as a fractional advection-dispersion equation, can provide realistic representation of actual fluid flow in the heterogeneous media. We provide a numerical solution of the fractional advection-dispersion equation by using implicit-finite difference method. The numerical results obtained for one dimensional fractional advection-dispersion equation using the computer program was shown to be in a good agreement with the analytical solution.

Original languageEnglish
Title of host publicationWATER DYANMICS
Subtitle of host publication4th International Workshop on Water Dynamics
Pages75-78
Number of pages4
DOIs
Publication statusPublished - 2007 May 11
Event4th International Workshop on Water Dynamics - Sendai, Japan
Duration: 2006 Nov 72006 Nov 8

Publication series

NameAIP Conference Proceedings
Volume898
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other4th International Workshop on Water Dynamics
CountryJapan
CitySendai
Period06/11/706/11/8

Keywords

  • Fractinal derivative
  • Non-Fickian diffusion
  • Numerical simulation
  • Solute transport

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Chiba, R., Fomin, S., Chugunov, V., Niibori, Y., & Hashida, T. (2007). Numerical simulation of non-fickian diffusion and advection in a fractured porous aquifer. In WATER DYANMICS: 4th International Workshop on Water Dynamics (pp. 75-78). (AIP Conference Proceedings; Vol. 898). https://doi.org/10.1063/1.2721253