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Swelling Pressure in Expansive Porous Media Derived from Nano/Macro Homogenization Including Ion Size Correlation Effects

Abstract : In the case of electrically charged porous media as clays, a precise definition of swelling pressure has already been given in our preceding works using the periodic homogenization medium for two scales (nano/macro) (Moyne and Murad, 2002, 2006). The modeling at the nanoscale is based on the Poisson-Boltzmann equation to describe the electrostatics. However, for montmorillonite clays, if for a monovalent compensating cation (eg Na), swelling is always observed. For divalent ions (eg Ca or ions of higher valence), on the contrary, shrinking phenomena can be observed. As the Poisson-Boltzmann equation always predicts swelling, a more precise description of the physics at the nanopore level is needed. Therefore, a pore-scale model is developed within the framework of Statistical Mechanics in conjunction with a thermodynamic approach based on Density Functional Theory.
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https://hal.univ-lorraine.fr/hal-01443472
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Submitted on : Monday, January 23, 2017 - 10:56:39 AM
Last modification on : Monday, March 29, 2021 - 4:03:05 PM

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Tien-Dung Le, Christian Moyne, Marcio A. Murad, Sidarta A. Lima. Swelling Pressure in Expansive Porous Media Derived from Nano/Macro Homogenization Including Ion Size Correlation Effects. Fifth Biot Conference on Poromechanics, Vienna University of Technology (TU Wien) ; Institute for Mechanics of Materials and Structures; Institute for Geotechnical Engineering, Jul 2013, Vienne, Austria. pp.9780784412992, ⟨10.1061/9780784412992.208⟩. ⟨hal-01443472⟩

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