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Upscaling Fractured Heterogeneous Media: Permeability and Mass Exchange Coefficient

Kfoury, Moussa and Ababou, Rachid and Noetinger, Benoît and Quintard, Michel Upscaling Fractured Heterogeneous Media: Permeability and Mass Exchange Coefficient. (2005) Journal of Applied Mechanics, 73 (1). 41-46. ISSN 0021-8936

(Document in English)

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Official URL: http://dx.doi.org/10.1115/1.1991864


In order to optimize oil recuperation, to secure waste storage, CO2 sequestration and describe more precisely many environmental problems in the underground, we need to improve some homogenization methods that calculate petrophysical parameters. In this paper, we discuss the upscaling of fluid transport equations in fractured heterogeneous media consisting of the fractures themselves and a heterogeneous porous matrix. Our goal is to estimate precisely the fluid flow parameters like permeability and fracture/matrix exchange coefficient at large scale. Two approaches are possible. The first approach consists in calculating the large-scale equivalent properties in one upscaling step, starting with a single continuum flow model at the local scale. The second approach is to perform upscaling in two sequential steps: first, calculate the equivalent properties at an intermediate scale called the ”unit scale,” and, second, average the flow equations up to the large scale. We have implemented the two approaches and applied them to randomly distributed fractured systems. The results allowed us to obtain valuable information in terms of sizes of representative elementary volume associated to a given fracture distribution.

Item Type:Article
Additional Information:Thanks to American Society of Mechanical Engineers editor. The definitive version is available at http://appliedmechanics.asmedigitalcollection.asme.org/article.aspx?articleid=1415511
HAL Id:hal-03482591
Audience (journal):International peer-reviewed journal
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)
French research institutions > IFP Energies Nouvelles - IFPEN (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:10 Jan 2014 08:57

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