Skip to Main content Skip to Navigation
Journal articles

Permeability and pore connectivity: A new model based on network simulations

Abstract : The purpose of this paper is to model the effect of pore size heterogeneity and pore connectivity on permeability. Our approach is that of conceptual modeling based on network simulations. We simulated fluid flow through pipe networks with different coordination numbers and different pipe radius distributions. Following a method widely used in percolation theory, we sought “universal” relationships (i.e., independent of lattice type) between macroscopic properties such as permeability k and porosity ϕ, and, pore geometry attributes such as hydraulic radius rH, coordination number z, and so forth. Our main result was that in three-dimensional simple cubic, FCC, and BCC networks, permeability obeyed “universal” power laws, k ∝ (z − zc)β, where the exponent β is a function of the standard deviation of the pore radius distribution and zc = 1.5 is the percolation threshold expressed in terms of the coordination number. Most importantly, these power law relationships hold in a wide domain, from z close to zc to the maximum possible values of z. A permeability model was inferred on the basis of the power laws mentioned above. It was satisfactorily tested by comparison with published, experimental, and microstructural data on Fontainebleau sandstone.
Document type :
Journal articles
Complete list of metadatas

Cited literature [48 references]  Display  Hide  Download

https://hal-insu.archives-ouvertes.fr/insu-01729261
Contributor : Eva Fareau <>
Submitted on : Monday, March 12, 2018 - 2:51:46 PM
Last modification on : Saturday, September 19, 2020 - 3:56:38 AM
Long-term archiving on: : Wednesday, June 13, 2018 - 2:04:12 PM

File

2Bernab-_et_al-2010-Journal_of...
Publisher files allowed on an open archive

Identifiers

Citation

Y. Bernabé, M. Li, A. Maineult. Permeability and pore connectivity: A new model based on network simulations. Journal of Geophysical Research : Solid Earth, American Geophysical Union, 2010, 115 (B10), pp.10203. ⟨10.1029/2010JB007444⟩. ⟨insu-01729261⟩

Share

Metrics

Record views

485

Files downloads

1482