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1 2003

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Contaminant transport in fractured porous media

Royer P., Auriault J. L., Lewandowska J., Serres C.

Studia Geotechnica et Mechanica

2003

Vol. 25, nr 1-2

171--180

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.