Computation of large-scale parameters for dispersion in fissured porous medium using finite-volume methods

Yannick Caillabet , Pierre Fabrie , Didier Lasseux (1) , Michel Quintard

1 I2M - Institut de Mécanique et d'Ingénierie de Bordeaux

In this work, we are interested in solute transport in fissured porous media. The medium is considered as a special case of a two-region system, and a two-equation model previously obtained from a volume averaging technique is used to derive large-scale dispersion coefficients. These coefficients are obtained as solutions of a set of closure problems and the main objective of this work is to present an efficient method to solve these closure problems. The method makes use of an unstructured grid and special techniques to take into account the fissure network. Results are compared with other existing methods on simple fissured media. Finally, the technique is applied to a complex structure.

Mots clés: fissured porous medium; joint element; large scale dispersion; Mass transfer coefficient; Porous medium; Two-equation model; fissured medium; large-scale dispersion; mass tranfer coefficient; porous medium; two-equation model; fissured porous medium

Domaines: Equations aux dérivées partielles [math.AP]; Mécanique des fluides [physics.class-ph]; Milieux fluides et réactifs; Génie des procédés

Yannick Caillabet, Pierre Fabrie, Didier Lasseux, Michel Quintard. Computation of large-scale parameters for dispersion in fissured porous medium using finite-volume methods. Computational Geosciences, 2001, 5 (2), pp.121-150. ⟨10.1023/A:1013140922402⟩. ⟨hal-03827898⟩