TY - GEN
T1 - Numerical simulation of non-fickian diffusion and advection in a fractured porous aquifer
AU - Chiba, R.
AU - Fomin, S.
AU - Chugunov, V.
AU - Niibori, Y.
AU - Hashida, T.
PY - 2007/5/11
Y1 - 2007/5/11
N2 - 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.
AB - 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.
KW - Fractinal derivative
KW - Non-Fickian diffusion
KW - Numerical simulation
KW - Solute transport
UR - http://www.scopus.com/inward/record.url?scp=34248210735&partnerID=8YFLogxK
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U2 - 10.1063/1.2721253
DO - 10.1063/1.2721253
M3 - Conference contribution
AN - SCOPUS:34248210735
SN - 0735404038
SN - 9780735404038
T3 - AIP Conference Proceedings
SP - 75
EP - 78
BT - WATER DYANMICS
T2 - 4th International Workshop on Water Dynamics
Y2 - 7 November 2006 through 8 November 2006
ER -