Multi-scale Periodic Homogenization of Ionic Transfer in Cementitious Materials

  • K. Bourbatache
  • O. MilletEmail author
  • A. Aїt-Mokhtar
Conference paper
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG, volume 11)


In this communication, we perform a multi-scale periodic homogenization of Nernst-Planck and Poisson-Boltzmann equations describing the ionic transfer in saturated cementitious materials. Two models of ionic transfer are established successively. The first one by periodic homogenization from the Debye length scale to the capillary porosity scale, taking into account the electrical double layer phenomenon. The second model is obtained by upscaling the same ionic transfer equations from the capillary porosity scale to the material’s scale. Numerical simulations on porous media with more or less complex periodic microstructures are then carried out. Comparisons with existing experimental data are also presented and discussed.


Ionic transfer Multi-scale periodic homogenization Electrical double layer Cementitious materials 


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.LTISaint-QuentinFrance
  2. 2.University of La RochelleLa Rochelle cedexFrance

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