NDLI: Scale Dependence of Effective Hydraulic Conductivity Distributions in 3D Heterogeneous Media: A Numerical Study

Content Provider	Springer Nature Link
Author	Boschan, A. Nœtinger, B.
Copyright Year	2012
Abstract	Upscaling procedures and determination of effective properties are of major importance for the description of flow in heterogeneous porous media. In this context, we study the statistical properties of effective hydraulic conductivity (K $_{eff}$) distributions and their dependence on the coarsening scale. First, we focus on lognormal stationary isotropic media. Our results suggest that K $_{eff}$ is lognormally distributed independently on the coarsening scale. The scale dependence of the mean and variance of K $_{eff}$ are in agreement with recent analytical derivations obtained using coarse graining filtering techniques. In the second part, we focus on binary media, analysing the dependence of K $_{eff}$ distributions on the coarsening scale and also on the high-K facies volume fraction p. When p is near the percolation threshold p $_{c}$, the decrease of the normalized variance with the coarsening scale is remarkably (10$^{2}$ times) slower compared to the situation in which p far from p $_{c}$, but also compared to the cases of lognormal media studied before. This result permits to assess the degree of difficulty that systems with p near p $_{c}$ pose for upscaling procedures. Also we point out in terms of K $_{eff}$ statistics the relative influence of the coarsening scale and of the high-K facies connectivity.
Starting Page	101
Ending Page	121
Page Count	21
File Format	PDF
ISSN	01693913
Journal	Transport in Porous Media
Volume Number	94
Issue Number	1
e-ISSN	15731634
Language	English
Publisher	Springer Netherlands
Publisher Date	2012-04-05
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Heterogeneity Upscaling Random media Effective conductivity Single phase flow Industrial Chemistry/Chemical Engineering Geotechnical Engineering & Applied Earth Sciences Classical Continuum Physics Hydrogeology Civil Engineering
Content Type	Text
Resource Type	Article
Subject	Catalysis

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