Effective permeabilities for model heterogeneous porous media

C. Otero, A. E. Saez, I. Rusinek

Research output: Contribution to journalArticlepeer-review

Abstract

This paper presents a rigorous technique to evaluate effective absolute permeabilities for heterogeneous porous media. The technique is based on a perturbation analysis of the equations of motion of a slightly compressible fluid in a homogeneous porous medium at low Reynolds numbers. The effective permeabilities can be calculated once the local geometry of the heterogeneous medium is specified. The technique is used to evaluate two- and three-dimensional effective vertical permeabilities in porous media with shale intercalations. including the case in which the porous matrix is anisotropic. The results indicate that the use of two-dimensional models is not adequate when describing such systems, since three-dimensional calculations differ substantially from two-dimensional ones Effective permeabilities are also reported for the standard 'sugar cubes' model for fractured porous media. In this case, the differences between two- and three-dimensional models are quantitatively insignificant.

Original languageEnglish (US)
Pages (from-to)229-244
Number of pages16
JournalIn Situ
Volume14
Issue number3
StatePublished - Sep 1 1990
Externally publishedYes

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Fuel Technology
  • Geotechnical Engineering and Engineering Geology
  • Energy Engineering and Power Technology

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