Comptes Rendus
Micromechanical computational modeling of expansive porous media
[Modélisation micromécanique des milieux poreux déformables]
Comptes Rendus. Mécanique, Volume 330 (2002) no. 12, pp. 865-870.

Un principe de Terzaghi modifié est proposé pour décrire les phénomènes électro-chimico-mécaniques couplés dans des argiles gonflantes fortement compactées. Le modèle à deux échelles utilise la méthode de l'homogénéisation pour un système diphasique composé de particules d'argile saturées par une solution aqueuse d'un sel complètement dissocié. Quelques résultats numériques illustrent les résultats dans un cas particulier.

A modified Terzaghi principle is proposed to describe the influence of locally coupled electro-chemo-mechanical processes in highly compacted swelling clays upon the form of the macroscopic modified effective stress principle. The two-scale model is derived using the homogenization procedure to upscale the microscopic behavior of a two-phase system composed of clay particles saturated by a completely dissociated electrolyte aqueous solution. Numerical experiments are performed to illustrate the results in a particular cell geometry.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-0721(02)01543-7
Keywords: porous media, expansive clays, effective stress, homogenization, Poisson–Boltzmann, swelling (disjoining) pressure
Mots-clés : milieux poreux, argiles expansives, contrainte effective, homogénéisation, Poisson–Boltzmann, pression de (disjonction) gonflement

Márcio A. Murad 1 ; Christian Moyne 2

1 Laboratório Nacional de Computação Cientı́fica, LNCC/MCT, Av Getúlio Vargas 333, 25651–070 Petrópolis, RJ, Brazil
2 LEMTA–CNRS–INPL–UHP (UMR 7563), 2, avenue de la Forêt de Haye, 54504 Vandœuvre lès Nancy cedex, France
@article{CRMECA_2002__330_12_865_0,
     author = {M\'arcio A. Murad and Christian Moyne},
     title = {Micromechanical computational modeling of expansive porous media},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {865--870},
     publisher = {Elsevier},
     volume = {330},
     number = {12},
     year = {2002},
     doi = {10.1016/S1631-0721(02)01543-7},
     language = {en},
}
TY  - JOUR
AU  - Márcio A. Murad
AU  - Christian Moyne
TI  - Micromechanical computational modeling of expansive porous media
JO  - Comptes Rendus. Mécanique
PY  - 2002
SP  - 865
EP  - 870
VL  - 330
IS  - 12
PB  - Elsevier
DO  - 10.1016/S1631-0721(02)01543-7
LA  - en
ID  - CRMECA_2002__330_12_865_0
ER  - 
%0 Journal Article
%A Márcio A. Murad
%A Christian Moyne
%T Micromechanical computational modeling of expansive porous media
%J Comptes Rendus. Mécanique
%D 2002
%P 865-870
%V 330
%N 12
%I Elsevier
%R 10.1016/S1631-0721(02)01543-7
%G en
%F CRMECA_2002__330_12_865_0
Márcio A. Murad; Christian Moyne. Micromechanical computational modeling of expansive porous media. Comptes Rendus. Mécanique, Volume 330 (2002) no. 12, pp. 865-870. doi : 10.1016/S1631-0721(02)01543-7. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01543-7/

[1] R.J. Hunter Introduction to Modern Colloid Science, Oxford University Press, 1994

[2] Van Olphen An Introduction to Clay Colloid Chemistry: For Clay Technologists, Geologists, and Soil Scientists, Wiley, New York, 1977

[3] B.V. Derjaguin; N.V. Churaev; V.M. Muller Surface Forces, Plenum Press, New York, 1987

[4] P.F. Low Structural component of the swelling pressure of clays, Langmuir, Volume 3 (1987), pp. 18-25

[5] A. Anandarajah Influence of particle orientation on one-dimensional compression of montmorillonite, Colloid Interface Sci, Volume 194 (1997), pp. 44-52

[6] A. Sridharan; G.V. Rao Mechanisms controlling volume change of saturated clays and the role of the effective stress concept, Geotechnique, Volume 23 (1973) no. 3, pp. 359-382

[7] J.M. Huyghe; J.D. Janssen Quadriphasic mechanics of swelling incompressible porous media, Int. J. Engrg. Sci, Volume 25 (1997) no. 8, pp. 793-802

[8] L. Dormieux; P. Barboux; O. Coussy; P. Dangla A macroscopic model of the swelling phenomenon of a saturated clay, European J. Mech. A Solids, Volume 14 (1995) no. 6, pp. 981-1004

[9] L.D. Landau; E.M. Lifshitz Electrodynamics of Continuous Media, Pergamon Press, Oxford, 1960

[10] E. Sanchez-Palencia Non-Homogeneous Media and Vibration Theory, Lectures Notes in Phys, Springer-Verlag, 1980

[11] J.L. Auriault Geomaterials: Constitutive Equations and Modeling (F. Darve, ed.), Elsevier, New York, 1990, pp. 311-328

  • Wei Zhang; Junliang Zhao; Dongxiao Zhang Construction and validation of the upscaling model of organic-rich shale by considering water-sensitivity effects, Journal of Petroleum Science and Engineering, Volume 216 (2022), p. 110718 | DOI:10.1016/j.petrol.2022.110718
  • Mahdad Eghbalian; Mehdi Pouragha; Richard Wan Micromechanical approach to swelling behavior of capillary‐porous media with coupled physics, International Journal for Numerical and Analytical Methods in Geomechanics, Volume 43 (2019) no. 1, p. 353 | DOI:10.1002/nag.2867
  • Mahdad Eghbalian; Richard G. Wan, Poromechanics VI (2017), p. 449 | DOI:10.1061/9780784480779.055
  • Aline C. Rocha; Marcio A. Murad; Christian Moyne; Saulo P. Oliveira; Tien D. Le A new methodology for computing ionic profiles and disjoining pressure in swelling porous media, Computational Geosciences, Volume 20 (2016) no. 5, p. 975 | DOI:10.1007/s10596-016-9572-5
  • Thibaut Colinart; Jean-Christophe Perrin; Christian Moyne Application of a micro/macro-homogenization procedure to the investigation of the mechanical behavior of ionomer membranes for fuel cells, Journal of Polymer Science Part B: Polymer Physics, Volume 52 (2014) no. 22, p. 1496 | DOI:10.1002/polb.23589
  • Julia Mainka; Marcio A. Murad; Christian Moyne; Sidarta A. Lima A Modified Effective Stress Principle for Unsaturated Swelling Clays Derived from Microstructure, Vadose Zone Journal, Volume 13 (2014) no. 5, p. 1 | DOI:10.2136/vzj2013.06.0107
  • T.D. Le; C. Moyne; M.A. Murad; S.A. Lima A two-scale non-local model of swelling porous media incorporating ion size correlation effects, Journal of the Mechanics and Physics of Solids, Volume 61 (2013) no. 12, p. 2493 | DOI:10.1016/j.jmps.2013.07.012
  • Julia Mainka; Marcio A. Murad; Christian Moyne; Sidarta A. Lima, Poromechanics V (2013), p. 1425 | DOI:10.1061/9780784412992.170
  • Bárbara de Melo Quintela; Daniel Mendes Caldas; Michèle Cristina Resende Farage; Marcelo Lobosco Multiscale Modeling of Heterogeneous Media Applying AEH to 3D Bodies, Computational Science and Its Applications – ICCSA 2012, Volume 7333 (2012), p. 675 | DOI:10.1007/978-3-642-31125-3_51
  • Guillermo A. Narsilio; David W. Smith; Peter Pivonka Estimating vertical and lateral pressures in periodically structured montmorillonite clay particles, Anais da Academia Brasileira de Ciências, Volume 82 (2010) no. 1, p. 13 | DOI:10.1590/s0001-37652010000100003
  • David W. Smith; Guillermo A. Narsilio; Peter Pivonka Numerical particle-scale study of swelling pressure in clays, KSCE Journal of Civil Engineering, Volume 13 (2009) no. 4, p. 273 | DOI:10.1007/s12205-009-0273-7
  • Michèle Cristina Resende Farage; Anne-Lise Beaucour; Luis Paulo da Silva Barra; Yang Ke; Diogo Ferreira dos Santos Sanábio; Anna Paula Guida Ferreira Multiscale modeling of the elastic moduli of lightweight aggregate concretes: numerical estimation and experimental validation, Rem: Revista Escola de Minas, Volume 62 (2009) no. 4, p. 455 | DOI:10.1590/s0370-44672009000400007
  • Sidarta Araújo de Lima; Márcio A. Murad; Christian Moyne; Didier Stemmelen A three-scale model for pH-dependent steady flows in 1:1 clays, Acta Geotechnica, Volume 3 (2008) no. 2, p. 153 | DOI:10.1007/s11440-008-0070-3
  • Márcio A. Murad; Christian Moyne A dual-porosity model for ionic solute transport in expansive clays, Computational Geosciences, Volume 12 (2008) no. 1, p. 47 | DOI:10.1007/s10596-007-9060-z
  • Christian Moyne; Márcio A. Murad A Two-Scale Model for Coupled Electro-Chemo-Mechanical Phenomena and Onsager’s Reciprocity Relations in Expansive Clays: I Homogenization Analysis, Transport in Porous Media, Volume 62 (2006) no. 3, p. 333 | DOI:10.1007/s11242-005-1290-8

Cité par 15 documents. Sources : Crossref

Commentaires - Politique