Issue |
E3S Web of Conf.
Volume 544, 2024
8th International Symposium on Deformation Characteristics of Geomaterials (IS-Porto 2023)
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Article Number | 06006 | |
Number of page(s) | 6 | |
Section | Behaviour, Characterization and Modelling of Various Geomaterials and Interfaces - Constitutive Modelling of Geomaterials | |
DOI | https://doi.org/10.1051/e3sconf/202454406006 | |
Published online | 02 July 2024 |
Clay micromechanics: Numerical modelling of electrical double-layer interactions to develop particle-based models for clay
1 Univ. Grenoble Alpes, CNRS, Grenoble INP, 3SR, Grenoble (France)
2 TU Delft (The Netherlands)
3 Department of Civil and Environmental Engineering, University of Strathclyde (Scotland, UK)
* Corresponding author: angela.casarella@3sr-grenoble.fr
Discrete element modelling of clays requires defining the interaction energy between two particles. The Derjaguin, Landau, Verwey and Overbeek (DLVO) theory combining the effect of the van der Waals forces and the Coulombic forces due to the double layer of counterions provides a widely accepted framework to characterise the pair potential energy. Solutions of the Poisson-Boltzmann (PB) equation to quantify the Coulombic forces are only available for the case of infinitely extended and uniformly charged facing plates (1D conditions). However, these assumptions are not representative of a clay particle system. Particles should be represented by platelets of finite size and finite thickness, with different charges between the edge and the basal planes. This paper addresses the problem of deriving the Coulombic interaction forces for plates of finite size and thickness in 3D configuration by solving the Poisson-Boltzmann equation numerically via the Finite Element Method (FEM). It is shown that 2D particles (plates of infinitesimal thickness) provide an adequate representation of Coulombic interaction as long as the particles are uniformly charged. The advantage of 2D particles is to reconcile numerical modelling with analytical solutions available in the literature. The use of 2D particles is questionable when considering different charges between basal planes and edges.
Key words: clay / micromechanics / Electrical Double Layer / DLVO
© The Authors, published by EDP Sciences, 2024
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