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Numerical upscaling of the permeability of a randomly cracked porous medium

  • Université Paris-Est
  • Université Paris-Est

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The equivalent permeability of a randomly cracked porous material is studied using a finite element program in which a four-nodes zero-thickness element is implemented for modelling the cracks. The numerical simulations are performed for geometries with different cracks densities and for different values of matrix permeability and crack conductivity, but the cracks length are taken equal to one. The method used for determination of the equivalent permeability resulted in a perfectly symmetric equivalent permeability tensor for each case. Based on the obtained results, a simple relation is presented for the equivalent permeability of a randomly cracked porous material as a function of the matrix permeability and the cracks density and conductivity. This relation is then generalized for the cracks of any length using a linear transformation.

Original languageEnglish
Title of host publication12th International Conference on Computer Methods and Advances in Geomechanics 2008
Pages2536-2543
Number of pages8
Publication statusPublished - 1 Dec 2008
Externally publishedYes
Event12th International Conference on Computer Methods and Advances in Geomechanics 2008 - Goa, India
Duration: 1 Oct 20086 Oct 2008

Publication series

Name12th International Conference on Computer Methods and Advances in Geomechanics 2008
Volume4

Conference

Conference12th International Conference on Computer Methods and Advances in Geomechanics 2008
Country/TerritoryIndia
CityGoa
Period1/10/086/10/08

Keywords

  • Crack
  • Double porosity
  • Equivalent permeability
  • Porous material
  • Upscaling

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