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Article Dans Une Revue International Journal of Rock Mechanics and Mining Sciences Année : 2008

Fracture morphology and viscous transport

Résumé

The morphology of a fracture in a granite block is sampled using a high resolution profiler providing a 3999×4000 pixel image of the roughness. We checked that a self-affine model is an accurate geometrical model of the fracture morphology on the basis of a spectral analysis. We also estimated the topothesy of the experimental surface to be l r ≈ 2 10 −7 mm and the roughness exponent to be ζ ≈ 0.78. A finite difference scheme of the Stokes equation was used to model the viscous flow through a fracture aperture that included the experimental fracture surface. It consists of a semi-fracture between a flat Plexiglas plate and the rough fracture surface. We finally compare our numerical results to experimental measurements of the fluid flux through the fracture using a glycerol/water mixture (to be at sufficiently low Reynolds number where Stokes equations holds). The comparison is successful despite a limited resolution of the experimental measurements. We finally show that only long wavelengths of the fracture control its hydraulic conductivity.
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Dates et versions

hal-01909701 , version 1 (31-10-2018)

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J. Schmittbuhl, A. Steyer, L. Jouniaux, Renaud Toussaint. Fracture morphology and viscous transport. International Journal of Rock Mechanics and Mining Sciences, 2008, 45 (3), pp.422 - 430. ⟨10.1016/j.ijrmms.2007.07.007⟩. ⟨hal-01909701⟩
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