Characterization of the flow for a single fluid in an excavation damaged zoneCaractérisation de l'écoulement d'un fluide monophasique en zone endommagée |
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Authors: | Brahim Amaziane Alain Bourgeat Mariya Goncharenko Leonid Pankratov |
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Institution: | 1. Université de Pau, LMA-FRE 2570 CNRS, avenue de l''Université, 64000 Pau, France;2. Université Lyon 1 – ISTIL, équipe MCS, 15, bld. Latarjet, 69622 Villeurbanne cedex, France;3. Dépt. de mathématiques, B. Verkin institut des basses températures, 47, av. Lénine, 61103, Kharkov, Ukraine |
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Abstract: | The aim of this Note is to quantify the change of characteristics of the media of an Excavated Damaged Zone (EDZ) affected by several fractures. For this, we consider Darcy flow through matrix blocks and fractures with permeability of order ε2δθ and 1 respectively. ε is the size of a typical porous block, δ representing the relative size of the fracture and θ is a parameter characterising the permeability ratio. We derive the global behavior from the limit as ε and δ tend to zero. The resulting homogenized equation is of dual-porosity type for θ=2, but it is a simple-porosity model with effective coefficients for θ>2, and there is no flow at the macroscopic level when 0<θ<2. To cite this article: B. Amaziane et al., C. R. Mecanique 332 (2004). |
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Keywords: | Porous media EDZ Double porosity model Milieu poreux EDZ Milieu poreux fracturé Modèle de double porosité |
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