Advertisement

THE SCALE-UP PROBLEM FOR ION TRANSPORT IN KAOLINITE CLAYS INCLUDING PH-DEPENDENCE

  • Iury Igreja
  • Marcio A. Murad
  • Sidarta Lima
  • Claude Boutin
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)

Summary

We propose a new multiscale computational model to simulate electrokinetic remediation processes in clayey soils. The macroscopic governing equations are derived using the homogenization procedure applied to the pore-scale description consisting of micro-pores saturated by an aqueous solution containing four monovalent ionic species (Na  + , H  + , Cl , OH ) and charged solid particles surrounded by thin electrical double layers. The homogenized equations are discretized by the finite element method and applied to numerically simulate an electroosmosis experiment for decontamination of a clay sample by electrokinetics. Boundary conditions of Dankwerts type are postulated at the electrodes, which bring additional complexity to the iterative algorithm for solving the discrete model.

Keywords

clay Dankcwerts’ boundary conditions electrokinetics finite element homogenization 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Moyne, C., Murad, M.: A two-scale model for coupled electro-chemo-mechanical phenomena and onsager’s reciprocity relations in expansive clays. Transport in Porous Media 62(3), 333–380 (2006)MathSciNetCrossRefGoogle Scholar
  2. 2.
    Murad, M.A., Moyne, C.: A dual-porosity model for Ionic solute transport in expansive clays. Computational Geosciences 12, 47–82 (2008)MathSciNetzbMATHCrossRefGoogle Scholar
  3. 3.
    Lima, S.A., Murad, M.A., Moyne, C., Stemmelen, D.: A three scale model for pH-dependent steady flows in 1:1 clays. Acta Geotechnica 3, 153–174 (2008)CrossRefGoogle Scholar
  4. 4.
    Lima, S.A., Murad, M.A., Moyne, C., Stemmelen, D., Boutin, C.: A three-scale model of pH-dependent flows and ion transport with equilibrium adsorption in kaolinite clays I and II. Transport in Porous Media (2010) (Online first)Google Scholar
  5. 5.
    Alshawabkeh, A.N., Acar, Y.B.: Electrokinetic remediation: Theoretical model. J. Geotech. Eng. 122, 186–196 (1996)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Iury Igreja
    • 1
  • Marcio A. Murad
    • 1
  • Sidarta Lima
    • 1
  • Claude Boutin
    • 2
  1. 1.Laboratório Nacional de Computação Científica LNCC/MCTPetrópolisBrazil
  2. 2.Lab. Geomateriaux, DGCB URA CNRS 1652, Ecole Nationale des Travaux Publics de l’EtatUniveristé de LyonVaulx-en-Velin CedexFrance

Personalised recommendations