Changement d'échelle pour des milieux fracturés hétérogènes à grande échelle
Changement d'échelle pour des milieux fracturés hétérogènes à grande échelle
Résumé
We present the homogenization problem for the equations describing at large scale of heterogeneous fractured media the one-phase flow of a slightly compressible fluid. These equations depend on three scales : (i) the localscale characteristic of fracture thickness, (ii) an intermediate scale called the under-units scale, and, (iii) the large-scale of the reservoir. A first strategy consists in calculating the large-scale equivalent properties in one step from the local-scale where flow equations are those of a simple porosity model. A second strategy consists in, first, calculating the equivalent properties at under-units-scale and, in a second time, averaging the flow equations at this level, which take the form of a double-porosity model, to the large-scale. We describe the theoretical and numerical tools necessary to realize the direct simulation or the first step described in the second strategy
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2003_Kfoury-etal--MKf-etal_Paper_CFM2003Nice_6p.pdf (179.83 Ko)
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