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

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

研究成果: Conference contribution

1 引用 (Scopus)

抜粋

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.

元の言語English
ホスト出版物のタイトルWATER DYANMICS
ホスト出版物のサブタイトル4th International Workshop on Water Dynamics
ページ75-78
ページ数4
DOI
出版物ステータスPublished - 2007 5 11
イベント4th International Workshop on Water Dynamics - Sendai, Japan
継続期間: 2006 11 72006 11 8

出版物シリーズ

名前AIP Conference Proceedings
898
ISSN(印刷物)0094-243X
ISSN(電子版)1551-7616

Other

Other4th International Workshop on Water Dynamics
Japan
Sendai
期間06/11/706/11/8

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • これを引用

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