- Title
- Permeability determination of porous media using large-scale finite elements and iterative solver
- Creator
- Karim, M. R.; Krabbenhoft, K.; Lyamin, A. V.
- Relation
- International Journal for Numerical and Analytical Methods in Geomechanics Vol. 38, Issue 10, p. 991-1012
- Publisher Link
- http://dx.doi.org/10.1002/nag.2245
- Publisher
- John Wiley & Sons
- Resource Type
- journal article
- Date
- 2013
- Description
- 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 largescale fluid flow simulation for estimating permeability of the porous medium with reasonable accuracy and reliability.
- Subject
- permeability; stokes flow; finite element modelling; computational homogenization; preconditioner; iterative solver; X-ray microtomography; Kozeny-Carman equation
- Identifier
- http://hdl.handle.net/1959.13/1061049
- Identifier
- uon:16867
- Identifier
- ISSN:0363-9061
- Language
- eng
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