Contaminant transport in fractured porous media

• Autorzy: Royer, P. , Auriault, J. L. , Lewandowska, J. , Serres, C.

Warianty tytułu

PL

Transport zanieczyszczeń w spękanym ośrodku porowatym

• Konferencja: XII Kolokwium Francusko-Polskie ze Stosowanej Mechaniki Gruntów i Skał. 03-04.07.2000 r. Paryż
• Języki publikacji: EN

Abstrakty

EN

This work is aimed at deriving mathematical models that describe pollutant migration through fractured porous media. A homogenisation method is used, i.e. macroscopic models are rigorously deduced from the physical description which is valid within a Representative Elementary Volume (REV). The fundamental assumption behind homogenisation is the separation of scales which is expressed by: l/L = E<<1. In the present work, l denotes the characteristic size of the REV, i.e. at the fracture's scale, and L is the characteristic macroscopic size. The approach introduced by Auriault [1] is used. This methodology is based on the definition and estimation of dimensionless numbers arising from the description at the REV's scale. It is shown that the macroscopic behaviour strongly depends upon the local transport regime characterised by the Peclet number in the fractures. Four distinct macroscopic models for solute transport in fractured porous media are derived.

Słowa kluczowe

PL

ośrodek porowaty; zanieczyszczenia; transport

EN

porous medium; contaminant; transport

• Czasopismo: Studia Geotechnica et Mechanica
• Rocznik: 2003
• Tom: Vol. 25, nr 1-2
• Strony: 171--180
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Royer, P.

• Laboratoire 3S, UJF, INPG, CNRS, BP53 38041 Grenoble Cedex 9, France,

autor

Auriault, J. L.

• Laboratoire 3S, UJF, INPG, CNRS, BP53 38041 Grenoble Cedex 9, France,

autor

Lewandowska, J.

• LTHE, UJF, INPG, CNRS, IRD, BP53 38041 Grenoble Cedex 9, France,

autor

Serres, C.

• Intitut de protection et de Sûreté Nucléaire (IPSN), Fontenay-aux-Roses, France,

• Laboratoire 3S,UJF, INPG, CNRS, BP53 38041 Grenoble Cedex 9, France

Bibliografia

• [1] Auriault J.-L., Heterogeneous medium. Is an equivalent macroscopic description possible? Int. J. Engn. Sc., 1991,29, 7, 785-795.
• [2] Auriault J.-L., Adler P., Taylor dispersion in porous media: analysis by multiple scale expansions, Adv. Water Res., 1995, 18, 4, 217-226.
• [3] Auriault J.-L., Lewandowska J., Non-Gaussian Diffusion Modeling in Composite Porous Media by Homogenization: Tail Effects, T.I.P.M., 1995, 21, 47-70.
• [4] Bensoussan A., Lions J.L., Papanicolaou G., Asymptotic Analysis for Periodic Structures, North- Holland Publishing Company, Amsterdam, 1978.
• [5] Royer P., Auriault J.-L., Boutin C., Macroscopic modelling of double-porosity reservoirs, International Journal of Petroleum Science and Engineering, 1996, 16, 187-202.
• [6] Sanchez-Palencia E., Non-Homogeneous Media and Vibration Theory, Springer-Verlag, Lecture Notes in Physics 127, Berlin, 1980.