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Equivalent permeability tensor in fractured media : an algebraic approach.

Ababou, Rachid and Renard, Philippe Equivalent permeability tensor in fractured media : an algebraic approach. (2011) In: MAMERN11: 4th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources May 23-26, 2011, 23 May 2011 - 26 May 2011 (Saidia, Morocco).

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Abstract

This work is part of an extensive investigation on the equivalent permeability of heterogeneous and fractured media. We focus here on the problem of Darcian/Poiseuille flow in an irregular network of fracture segments (in 2D) or conduits (in 2D or 3D). An exact algebraic relation between the mean flux vector(Q) and the mean hydraulic gradient (J) is developed through a mathematical analyzis of the network flow problem, based on concepts from graph theory, leading to a discrete definition of DIV and GRAD operators. The resulting equivalent permeability is a 2nd rank tensor Kij, not necessarily symmetric and not necessarily positive-definite. Its properties are analyzed for given types of boundary conditions and averaging procedures.

Item Type:Conference or Workshop Item (Lecture)
HAL Id:hal-00967860
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > Université de Neuchâtel (SWITZERLAND)
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Deposited On:10 Jan 2014 15:03

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