Computational Geosciences

, Volume 19, Issue 1, pp 63–78 | Cite as

Investigation of the effective permeability of vuggy or fractured porous media from a Darcy-Brinkman approach

  • F. Golfier
  • D. Lasseux
  • M. Quintard


In this paper, the macroscopic representation of one-phase incompressible flow in fractured and cavity (or vuggy) porous media is studied from theoretical and numerical points of view. A single-domain (or equivalently a Darcy-Brinkman) type of approach is followed to describe the momentum transport at Darcy scale where the fracture or cavity region and porous matrix region are well identified. The Darcy scale model is upscaled yielding a macroscopic momentum equation operating on the equivalent homogeneous medium. Numerical solution to the associated closure problem is proposed in order to compute the effective permeability. Numerical results on some model fractured and cavity media are discussed and compared to some analytical results.


Vugular rocks Fractured porous medium Darcy-Brinkman Volume averaging Effective permeability 


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.GeoRessources LaboratoryVandoeuvre-les-NancyFrance
  2. 2.I2M - TREFLE - UMR CNRS 5295, Esplanade des Arts et MétiersTalence CedexFrance
  3. 3.Université de Toulouse (INPT, UPS) & CNRS; IMFT (Institut Mécanique des Fluides des Toulouse;Allée Camille SoulaToulouseFrance

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