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- Title
Effective conductivity of isotropic highly heterogeneous formations: Numerical and theoretical issues.
- Authors
Jankovic, Igor; Fiori, Aldo; Dagan, Gedeon
- Abstract
We consider three-dimensional uniform flow in heterogeneous porous media characterized by a spatially variable hydraulic conductivity K(x) ; the latter is considered as a stationary random function of lognormal distribution (mean ln KG and variance σ²Y of Y = ln K) and of finite integral scale IY. We investigate the effective conductivity Kef of such formation by adopting a structural model of cubical inclusions that tessellate the space. The domain is large compared to IY. The dependence of Kef/KG upon σ²Y is determined by numerical simulations that are performed in parallel employing 2.5 x 109 cells. This technical note focuses on numerical issues in media with strong heterogeneity: domain discretization and the averaging scheme for the intercell conductivity. The effective conductivity is also derived using the self-consistent approximation.
- Subjects
HYDRAULICS; FLUID mechanics; HYDRAULIC conductivity; LOGNORMAL distribution; DISTRIBUTION (Probability theory)
- Publication
Water Resources Research, 2013, Vol 49, Issue 2, p1178
- ISSN
0043-1397
- Publication type
Article
- DOI
10.1029/2012WR012441