A fast algorithm for estimating large-scale permeabilities of correlated anisotropic media

Einar L. Hinrichsen*, Ammon Aharony, Jens Feder, Alex Hansen, Torstein Jøssang, H. H. Hardy

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


The problem of estimating large-scale permeabilities of reservoirs based on knowledge of the small-scale permeabilities is addressed. We present an accurate and fast algorithm to calculate the global permeabilities of two- or three-dimensional correlated and anisotropic block samples, thus providing a fast algorithm for obtaining grid block permeabilities for reservoir simulators from small scale data. The algorithm is tested on both two- and three-dimensional tube networks generated from real images and fractal forgeries modeling porous media. In almost all cases, the algorithm estimates the correct global permeability (calculated using exact but slow algorithms) of the network to better than 5%. The new algorithm is comparable in speed to conventional averaging techniques, such as the geometric mean, but the obtained estimates are always much better.

Original languageEnglish
Pages (from-to)55-72
Number of pages18
JournalTransport in Porous Media
Issue number1
StatePublished - Jul 1993
Externally publishedYes


  • Effective permeability
  • correlations and anisotropy
  • renormalization, numerical algorithm


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