Macroscopic behavior of swelling porous media derived from micromechanical analysis

Transport in Porous Media

Volumn 50, Issue 1-2, 2003, Pages 127-151

  Moyne, Christian ^a   Murad, Márcio ^b,c  

^a NANCY UNIVERSITÉ   (France)

^b LABORATÓRIO NACIONAL DE COMPUTAÇÃO CIENTÍFICA   (Brazil)

^c Visiting Inst Politecnico Univ   (Brazil)

Author keywords

Anomalous osmosis; Disjoning (swelling) pressure; Double layer theory; Electro osmosis; Electrohydrodynamics; Homogenization; Ion transport; Modified Terzaghi's principle; Poisson Boltzmann equation; Swelling porous medium

Indexed keywords

COMPOSITE MICROMECHANICS; DIFFUSION; ELASTICITY; ELECTROLYTES; HYDRODYNAMICS; MACROMOLECULES; MATHEMATICAL MODELS; MICROSTRUCTURE; NEGATIVE IONS; POSITIVE IONS; SOLUTIONS; SWELLING; TRANSPORT PROPERTIES;

ELECTROLYTE SOLUTIONS;

POROUS MATERIALS;

MECHANICAL PROPERTY; POROUS MEDIUM; SWELLING;

MICROMECHANICS; POROUS MEDIUM; SWELLING;

EID: 0037278360     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020665915480     Document Type: Article

References (32)

1. Anandarajah, A.: 1997, Influence of particle orientation on one-dimensional compression of montmorillonite, J. Colloid Interface Sci. 194, 44-52.
2. Auriault, J. L.: 1991, Heterogeneous media: is an equivalent homogeneous description always possible? Int. J. Engng Sci. 29, 785-795.
3. Auriault, J. L. and Adler, P. M.: 1995, Taylor dispersion in porous media: analysis by multiple scale expansions, Adv. Water Resour. 18(4), 217-226.
4. Auriault, J. L. and Sanchez-Palencia, E.: 1977, Etude du comportement macroscopique d'un milieu poreux saturé déformable, J. de Mécanique 16(4), 575-603.
5. Bennethum, L. S., Murad, M. A. and Cushman, J. H.: 2000, Macroscale thermodynamics and the chemical potential for swelling porous media. Transport in Porous Media 39, 187-225.
6. Bike, S. G. and Prieve, C.: 1992, Electrohydrodynamics of thin double layers: a model for the streaming potential profile, J. Colloid Interface Sci. 154(1), 87-96.
7. Callen, H.: 1985, Thermodynamics and an Introduction to Thermostatics, Wiley, New York.
8. Dahnert, K. and Huster, D.: 1999, Comparison of the Poisson-Boltzmann model and the Donnan equilibrium of a polyelectrolyte in salt solution, J. Colloid Interface Sci. 215, 131-139.
9. Derjaguin, B. V., Churaev, N. V. and Muller, V. M.: 1987, Surface Forces, Plenum Press, New York.
10. Donnan, F. G.: 1924. The theory of membrane equilibria, Chem. Rev. 1, 73-90.
11. Dormieux, L., Barboux, P., Coussy, O. and Dangla, P.: 1995, A macroscopic model of the swelling phenomenon of a saturated clay, Euro. J. Mech. /Solids 14(6), 981-1004.
12. Eringen, A. C. and Maugin, G. A.: 1989, Electrodynamics of Continua, Springer-Verlag.
13. Gu, W. Y., Lai, W. M. and Mow, V. C.: 1998, A mixture theory for charged-hydrated soft tissues containing multi-electrolytes: passive transport and swelling behaviors, J. Biomech. Engng 120, 169-180.
14. Gu, W. Y., Lai, W. M. and Mow, V. C.: 1999, Transport of multi-electrolytes in charged hydrated biological soft tissues, Transport in Porous Media 34, 143-157.
15. Helfferich, F.: 1962, Ion Exchange, McGraw-Hill, USA.
16. Hunter, R. J.: 1994, Introduction to Modern Colloid Science, Oxford University Press.
17. Huyghe, J. M. and Janssen, J. D.: 1997, Quadriphasic mechanics of swelling incompressible porous media, Int. J. Engng Sci. 25(8), 793-802.
18. Israelachvili, J.: 1991, Intermolecular and Surfaces Forces, Academic Press, New York.
19. Ivanov, I. B. and Kralchevsky, P. A.: 1988, Mechanics and thermodynamics of curved thin films, In: I. B. Ivanov (ed.), Surfactant Science Series, Vol. 29, Dekker, pp. 49-129.
20. Kralchevsky, P. A. and Ivanov, I. B.: 1990, Micromechanical description of curved interfaces: II film surface tensions, disjoining pressure and interfacial stress balances, J. Colloid Interface Sci. 137(1), 235-252.
21. Lai, W. M., Hou, J. S. and Mow, V. C.: 1991, A triphasic theory for the swelling and deformation behaviors of articular cartilage, J. Biomech. Engng 113, 245-258.
22. Landau, L. D. and Lifshitz, E. M.: 1960, Electrodynamics of Continuous Media, Pergamon Press, Oxford.
23. Low, P. F.: 1987, Structural component of the swelling pressure of clays, Langmuir 3, 18-25.
24. Murad, M. A.: 1999, A thermomechanical model of hydration swelling in smectite clays, I. two-scale mixture-theory approach, Int. J. Numer. Analyt. Meth. Geomech. 23(7), 673-696.
25. Olphen, V.: 1977, An Introduction to Clay Colloid Chemistry: For Clay Technologists, Geologists, and Soil Scientists, Wiley, New York.
26. Rusanov, A.: 1978, On the thermodynamics of deformable solid surfaces, J. Colloid Interface Sci. 63(2), 330-345.
27. Samson, E., Marchand, J., Robert, J. and Bournazel, J.: 1999, Modeling ion diffusion mechanisms in porous media, Int, J. Numer. Meth. Engng 46, 2043-2060.
28. Sanchez-Palencia, E.: 1980, Non-Homogeneous Media and Vibration Theory, Lectures Notes in Physics, Springer Verlag.
29. Sasidhar, V. and Ruckestein, E.: 1981, Electrolyte osmosis through capillaries, J. Colloid Interface Sci. 82(2), 439-457.
30. Sasidhar, V. and Ruckestein, E.: 1982, Anomalous effects during electrolyte osmosis across charged porous membranes, J. Colloid Interface Sci. 85(2), 332-361.
31. Sridharan, A. and Rao, G. V.: 1973, Mechanisms controlling volume change of saturated clays and the role of the effective stress concept, Geotechnique 23(3), 359-382.
32. Terada, K., Ito, T. and N. Kikuchi, N.: 1998, Characterization of the mechanical behaviors of solid-fluid mixture by the homogenization method, Comput. Meth. Appl. Mech. Engng 153, 223-257.