Permeability determination of porous media using large-scale finite elements and iterative solver

Authors

  • M. R. Karim,

    Corresponding author
    1. Centre for Geotechnical and Materials Modelling, Department of Civil, Surveying and Environmental Engineering, The University of Newcastle, Callaghan, Australia
    • Correspondence to: M. R. Karim, Centre for Geotechnical and Materials Modelling, Department of Civil, Surveying and Environmental Engineering, The University of Newcastle, Callaghan, NSW 2308, Australia.

      E-mail: karimmr@gmail.com

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  • K. Krabbenhoft,

    1. Centre for Geotechnical and Materials Modelling, Department of Civil, Surveying and Environmental Engineering, The University of Newcastle, Callaghan, Australia
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  • A. V. Lyamin

    1. Centre for Geotechnical and Materials Modelling, Department of Civil, Surveying and Environmental Engineering, The University of Newcastle, Callaghan, Australia
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SUMMARY

The problem of finite element simulation of incompressible fluid flow in porous medium is considered. The porous medium is characterized by the X-ray microtomography technique in three dimensions. The finite calculus-based stabilization technique is reviewed to implement the equal order finite element interpolation functions for both velocity and pressure. A noble preconditioner, the nodal block diagonal preconditioner, is considered whose performance is thoroughly investigated. Combining this preconditioner with a standard iterative solver during the computational homogenization procedure, it is possible to carry out the large-scale fluid flow simulation for estimating permeability of the porous medium with reasonable accuracy and reliability. Copyright © 2013 John Wiley & Sons, Ltd.

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