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Volumn 34, Issue 4, 2007, Pages 267-278

Theory of flow and deformation of swelling porous materials at the macroscale

Author keywords

Clay; Darcy's law; Flow and deformation; Porous media; Swelling porous media; Thermodynamics

Indexed keywords

COMPACTION; POROUS MATERIALS; SWELLING; THERMODYNAMICS; VOLUME FRACTION;

EID: 34547734374     PISSN: 0266352X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compgeo.2007.02.003     Document Type: Article
Times cited : (28)

References (65)
  • 1
    • 0031211252 scopus 로고    scopus 로고
    • Moisture transport in shrinking gels during saturated drying
    • Achanta S., Okos M.R., Cushman J.H., and Kessler D.P. Moisture transport in shrinking gels during saturated drying. AIChE 43 8 (1997) 2112-2122
    • (1997) AIChE , vol.43 , Issue.8 , pp. 2112-2122
    • Achanta, S.1    Okos, M.R.2    Cushman, J.H.3    Kessler, D.P.4
  • 2
    • 33947335754 scopus 로고
    • Fluidized beds: equations of motion
    • Anderson T.B., and Jackson R. Fluidized beds: equations of motion. Ind Eng Chem Fundam 6 4 (1967) 527-536
    • (1967) Ind Eng Chem Fundam , vol.6 , Issue.4 , pp. 527-536
    • Anderson, T.B.1    Jackson, R.2
  • 4
    • 0001287609 scopus 로고    scopus 로고
    • Multiscale, hybrid mixture theory for swelling systems - II: constitutive theory
    • Bennethum L.S., and Cushman J.H. Multiscale, hybrid mixture theory for swelling systems - II: constitutive theory. Int J Eng Sci 34 2 (1996) 147-169
    • (1996) Int J Eng Sci , vol.34 , Issue.2 , pp. 147-169
    • Bennethum, L.S.1    Cushman, J.H.2
  • 5
    • 0001493942 scopus 로고    scopus 로고
    • Multiscale, hybrid mixture theory for swelling systems - I: balance laws
    • Bennethum L.S., and Cushman J.H. Multiscale, hybrid mixture theory for swelling systems - I: balance laws. Int J Eng Sci 34 2 (1996) 125-145
    • (1996) Int J Eng Sci , vol.34 , Issue.2 , pp. 125-145
    • Bennethum, L.S.1    Cushman, J.H.2
  • 6
    • 0036608413 scopus 로고    scopus 로고
    • Multicomponent, multiphase thermodynamics of swelling porous media with electroquasistatics: I. macroscale field equations
    • Bennethum L.S., and Cushman J.H. Multicomponent, multiphase thermodynamics of swelling porous media with electroquasistatics: I. macroscale field equations. Transp Porous Media 47 3 (2002) 309-336
    • (2002) Transp Porous Media , vol.47 , Issue.3 , pp. 309-336
    • Bennethum, L.S.1    Cushman, J.H.2
  • 7
    • 0036609450 scopus 로고    scopus 로고
    • Multicomponent, multiphase thermodynamics of swelling porous media with electroquasistatics: II. constitutive theory
    • Bennethum L.S., and Cushman J.H. Multicomponent, multiphase thermodynamics of swelling porous media with electroquasistatics: II. constitutive theory. Transp Porous Media 47 3 (2002) 337-362
    • (2002) Transp Porous Media , vol.47 , Issue.3 , pp. 337-362
    • Bennethum, L.S.1    Cushman, J.H.2
  • 8
    • 0031104607 scopus 로고    scopus 로고
    • Generalized forchheimer law for two-phase flow based on hybrid mixture theory
    • Bennethum L.S., and Giorgi T. Generalized forchheimer law for two-phase flow based on hybrid mixture theory. Transp Porous Media 26 3 (1997) 261-275
    • (1997) Transp Porous Media , vol.26 , Issue.3 , pp. 261-275
    • Bennethum, L.S.1    Giorgi, T.2
  • 9
    • 0030884859 scopus 로고    scopus 로고
    • Modified darcy's law, terzaghi's effective stress principle and fick's law for swelling clay soils
    • Bennethum L.S., Murad M.A., and Cushman J.H. Modified darcy's law, terzaghi's effective stress principle and fick's law for swelling clay soils. Comput Geotech 20 3/4 (1997) 245-266
    • (1997) Comput Geotech , vol.20 , Issue.3-4 , pp. 245-266
    • Bennethum, L.S.1    Murad, M.A.2    Cushman, J.H.3
  • 10
    • 0034020972 scopus 로고    scopus 로고
    • Macroscale thermodynamics and the chemical potential for swelling porous media
    • Bennethum L.S., Murad M.A., and Cushman J.H. Macroscale thermodynamics and the chemical potential for swelling porous media. Transp Porous Media 39 2 (2000) 187-225
    • (2000) Transp Porous Media , vol.39 , Issue.2 , pp. 187-225
    • Bennethum, L.S.1    Murad, M.A.2    Cushman, J.H.3
  • 12
    • 33750129261 scopus 로고    scopus 로고
    • Compressibility moduli for porous materials incorporating volume fraction
    • Bennethum L.S. Compressibility moduli for porous materials incorporating volume fraction. J Eng Mech 132 11 (2006) 1205-1214
    • (2006) J Eng Mech , vol.132 , Issue.11 , pp. 1205-1214
    • Bennethum, L.S.1
  • 13
    • 0011578103 scopus 로고
    • Effective stress for transport properties of inhomogeneous porous rock
    • Berryman J.G. Effective stress for transport properties of inhomogeneous porous rock. J Geophys Res 97 B12 (1992) 17409-17424
    • (1992) J Geophys Res , vol.97 , Issue.B12 , pp. 17409-17424
    • Berryman, J.G.1
  • 14
    • 85018427554 scopus 로고
    • The elastic coefficients of the theory of consolidation
    • Biot M.A., and Willis D.G. The elastic coefficients of the theory of consolidation. J Appl Mech 24 (1957) 594-601
    • (1957) J Appl Mech , vol.24 , pp. 594-601
    • Biot, M.A.1    Willis, D.G.2
  • 15
    • 0345643551 scopus 로고
    • General theory of three-dimensional consolidation
    • Biot M.A. General theory of three-dimensional consolidation. J Appl Phys 12 (1941) 155-164
    • (1941) J Appl Phys , vol.12 , pp. 155-164
    • Biot, M.A.1
  • 16
    • 0016543916 scopus 로고
    • On the dependence of the elastic properties of a porous rock on the compressibility of the pore fluid
    • Brown R.G.S., and Korringa J. On the dependence of the elastic properties of a porous rock on the compressibility of the pore fluid. Geophysics 40 4 (1975) 608-616
    • (1975) Geophysics , vol.40 , Issue.4 , pp. 608-616
    • Brown, R.G.S.1    Korringa, J.2
  • 18
    • 34250963757 scopus 로고
    • The thermodynamics of elastic materials with heat conduction and viscosity
    • Coleman B.D., and Noll W. The thermodynamics of elastic materials with heat conduction and viscosity. Arch Rat Mech Anal 13 (1963) 167-178
    • (1963) Arch Rat Mech Anal , vol.13 , pp. 167-178
    • Coleman, B.D.1    Noll, W.2
  • 21
    • 0036704526 scopus 로고    scopus 로고
    • Primer on upscaling tools for porous media
    • Cushman J.H., Bennethum L.S., and Hu B.X. Primer on upscaling tools for porous media. Adv Water Resour 25 8-12 (2002) 1043-1067
    • (2002) Adv Water Resour , vol.25 , Issue.8-12 , pp. 1043-1067
    • Cushman, J.H.1    Bennethum, L.S.2    Hu, B.X.3
  • 22
    • 84983768948 scopus 로고    scopus 로고
    • Toward rational design of drug delivery substrates: I. mixture theory for two-scale biocompatible polymers
    • Cushman J.H., Singh P.P., and Bennethum L.S. Toward rational design of drug delivery substrates: I. mixture theory for two-scale biocompatible polymers. Multiscale Modeling Simul 2 2 (2004) 302-334
    • (2004) Multiscale Modeling Simul , vol.2 , Issue.2 , pp. 302-334
    • Cushman, J.H.1    Singh, P.P.2    Bennethum, L.S.3
  • 23
    • 84983748075 scopus 로고    scopus 로고
    • Toward rational design of drug delivery substrates: Ii. mixture theory for three-scale biocompatible polymers and a computational example
    • Cushman J.H., Singh P.P., and Bennethum L.S. Toward rational design of drug delivery substrates: Ii. mixture theory for three-scale biocompatible polymers and a computational example. Multiscale Modeling Simul 2 2 (2004) 335-357
    • (2004) Multiscale Modeling Simul , vol.2 , Issue.2 , pp. 335-357
    • Cushman, J.H.1    Singh, P.P.2    Bennethum, L.S.3
  • 24
    • 0009635839 scopus 로고
    • Molecular-scale lubrication
    • Cushman J.H. Molecular-scale lubrication. Nature 347 6290 (1990) 227-228
    • (1990) Nature , vol.347 , Issue.6290 , pp. 227-228
    • Cushman, J.H.1
  • 26
    • 0025661774 scopus 로고
    • The development of the concept of effective stresses
    • de Boer R., and Ehlers W. The development of the concept of effective stresses. Acta Mech 83 (1990) 77-92
    • (1990) Acta Mech , vol.83 , pp. 77-92
    • de Boer, R.1    Ehlers, W.2
  • 28
    • 0036778713 scopus 로고    scopus 로고
    • Micromechanical approach to the behavior of poroelastic materials
    • Dormieux L., Molinari A., and Kondo D. Micromechanical approach to the behavior of poroelastic materials. J Mech Phys Solids 50 (2002) 2203-2231
    • (2002) J Mech Phys Solids , vol.50 , pp. 2203-2231
    • Dormieux, L.1    Molinari, A.2    Kondo, D.3
  • 30
    • 0031357213 scopus 로고    scopus 로고
    • A validation of the quadriphasic mixture theory for intervertebral disc tissue
    • Frijns A.J.H., Huyghe J.M., and Janssen J.D. A validation of the quadriphasic mixture theory for intervertebral disc tissue. Int J Eng Sci 35 15 (1997) 1419-1429
    • (1997) Int J Eng Sci , vol.35 , Issue.15 , pp. 1419-1429
    • Frijns, A.J.H.1    Huyghe, J.M.2    Janssen, J.D.3
  • 31
    • 0026272539 scopus 로고
    • Unsaturated flow theory including interfacial phenomena
    • Gray W.G., and Hassanizadeh S.M. Unsaturated flow theory including interfacial phenomena. Water Resour Res 27 (1991) 1855-1863
    • (1991) Water Resour Res , vol.27 , pp. 1855-1863
    • Gray, W.G.1    Hassanizadeh, S.M.2
  • 32
    • 0032054018 scopus 로고    scopus 로고
    • Macroscale continuum mechanics for multiphase porous-media flow including phases, interfaces, common lines, and common points
    • Gray W.G., and Hassanizadeh S.M. Macroscale continuum mechanics for multiphase porous-media flow including phases, interfaces, common lines, and common points. Adv Water Resour 21 4 (1998) 261-281
    • (1998) Adv Water Resour , vol.21 , Issue.4 , pp. 261-281
    • Gray, W.G.1    Hassanizadeh, S.M.2
  • 34
    • 0032053771 scopus 로고    scopus 로고
    • A mixture theory for charged-hydrated soft tissues containing multi-electrolytes: passive transport and swelling behaviors
    • Gu W.Y., Lai W.M., and Mow V.C. A mixture theory for charged-hydrated soft tissues containing multi-electrolytes: passive transport and swelling behaviors. J Biomech Eng 120 (1998) 169-180
    • (1998) J Biomech Eng , vol.120 , pp. 169-180
    • Gu, W.Y.1    Lai, W.M.2    Mow, V.C.3
  • 35
    • 0032323693 scopus 로고    scopus 로고
    • Transport of multi-electrolytes in charged hydrated biological soft tissues
    • Gu W.Y., Lai W.M., and Mow V.C. Transport of multi-electrolytes in charged hydrated biological soft tissues. Transp Porous Media 34 (1999) 143-157
    • (1999) Transp Porous Media , vol.34 , pp. 143-157
    • Gu, W.Y.1    Lai, W.M.2    Mow, V.C.3
  • 36
    • 37249006592 scopus 로고
    • General conservation equations for multiphase systems: 1. Averaging procedure
    • Hassanizadeh S.M., and Gray W.G. General conservation equations for multiphase systems: 1. Averaging procedure. Adv Water Resour 2 (1979) 131-144
    • (1979) Adv Water Resour , vol.2 , pp. 131-144
    • Hassanizadeh, S.M.1    Gray, W.G.2
  • 37
    • 0013726079 scopus 로고
    • General conservation equations for multiphase systems: 2. Mass, momenta, energy, and entropy equations
    • Hassanizadeh S.M., and Gray W.G. General conservation equations for multiphase systems: 2. Mass, momenta, energy, and entropy equations. Adv Water Resour 2 (1979) 191-208
    • (1979) Adv Water Resour , vol.2 , pp. 191-208
    • Hassanizadeh, S.M.1    Gray, W.G.2
  • 38
    • 0018929962 scopus 로고
    • General conservation equations for multiphase systems: 3. Constitutive theory for porous media
    • Hassanizadeh S.M., and Gray W.G. General conservation equations for multiphase systems: 3. Constitutive theory for porous media. Adv Water Resour 3 (1980) 25-40
    • (1980) Adv Water Resour , vol.3 , pp. 25-40
    • Hassanizadeh, S.M.1    Gray, W.G.2
  • 40
    • 0031150114 scopus 로고    scopus 로고
    • Quadriphasic mechanics of swelling incompressible porous media
    • Huyghe J.M., and Janssen J.D. Quadriphasic mechanics of swelling incompressible porous media. Transp Porous Media 35 8 (1997) 793-802
    • (1997) Transp Porous Media , vol.35 , Issue.8 , pp. 793-802
    • Huyghe, J.M.1    Janssen, J.D.2
  • 41
    • 0032322651 scopus 로고    scopus 로고
    • Thermo-chemo-electro-mechanical formulation of saturated charged porous solids
    • Huyghe J.M., and Janssen J.D. Thermo-chemo-electro-mechanical formulation of saturated charged porous solids. Transp Porous Media 34 (1999) 129-141
    • (1999) Transp Porous Media , vol.34 , pp. 129-141
    • Huyghe, J.M.1    Janssen, J.D.2
  • 42
    • 0037150363 scopus 로고    scopus 로고
    • Chemo-mechanical coupling in saturated porous media: elastic-plastic behaviour of homoionic expansive clays
    • Loret B., Hueckel T., and Gajo A. Chemo-mechanical coupling in saturated porous media: elastic-plastic behaviour of homoionic expansive clays. Int J Solids Struct 39 10 (2002) 2773-2806
    • (2002) Int J Solids Struct , vol.39 , Issue.10 , pp. 2773-2806
    • Loret, B.1    Hueckel, T.2    Gajo, A.3
  • 43
    • 0018650845 scopus 로고
    • Nature and properties of water in montmorillonite-water systems
    • Low P.F. Nature and properties of water in montmorillonite-water systems. Soil Sci Soc Am J 43 (1979) 651-658
    • (1979) Soil Sci Soc Am J , vol.43 , pp. 651-658
    • Low, P.F.1
  • 44
    • 0000264232 scopus 로고
    • The swelling of clay, II. Montmorillonites-water systems
    • Low P.F. The swelling of clay, II. Montmorillonites-water systems. Soil Sci Soc Am J 44 (1980) 667-676
    • (1980) Soil Sci Soc Am J , vol.44 , pp. 667-676
    • Low, P.F.1
  • 45
    • 0023123163 scopus 로고
    • Structural component of the swelling pressure of clays
    • Low P.F. Structural component of the swelling pressure of clays. Langmuir 3 (1987) 18-25
    • (1987) Langmuir , vol.3 , pp. 18-25
    • Low, P.F.1
  • 46
    • 0742297442 scopus 로고
    • The clay/water interface and its role in the environment
    • Low P.F. The clay/water interface and its role in the environment. Prog Colloid Polym Sci 40 (1994) 500-505
    • (1994) Prog Colloid Polym Sci , vol.40 , pp. 500-505
    • Low, P.F.1
  • 48
    • 0001032632 scopus 로고
    • Ecoulements monophasiques en milieu poreux
    • Marle C.-M. Ecoulements monophasiques en milieu poreux. Rev Inst Fr Pet 22 (1967) 1471-1509
    • (1967) Rev Inst Fr Pet , vol.22 , pp. 1471-1509
    • Marle, C.-M.1
  • 49
    • 0031200822 scopus 로고    scopus 로고
    • A critique of diffuse double layer models applied to colloid and surface chemistry
    • Murray McBride. A critique of diffuse double layer models applied to colloid and surface chemistry. Clays Clay Minerals 45 4 (1997) 598-608
    • (1997) Clays Clay Minerals , vol.45 , Issue.4 , pp. 598-608
    • Murray McBride1
  • 50
    • 33644546366 scopus 로고    scopus 로고
    • A two-scale model for coupled electro-chemo-mechanical phenomena and onsager's reciprocity relations in expansive clays: I homogenization analysis
    • Moyne C., and Murad M.A. A two-scale model for coupled electro-chemo-mechanical phenomena and onsager's reciprocity relations in expansive clays: I homogenization analysis. Transp Porous Media 62 3 (2006) 333-380
    • (2006) Transp Porous Media , vol.62 , Issue.3 , pp. 333-380
    • Moyne, C.1    Murad, M.A.2
  • 51
    • 33645467076 scopus 로고    scopus 로고
    • A two-scale model for coupled electro-chemo-mechanical phenomena and onsager's reciprocity relations in expansive clays: Ii computational validation
    • Moyne C., and Murad M.A. A two-scale model for coupled electro-chemo-mechanical phenomena and onsager's reciprocity relations in expansive clays: Ii computational validation. Transp Porous Media 63 1 (2006) 13-56
    • (2006) Transp Porous Media , vol.63 , Issue.1 , pp. 13-56
    • Moyne, C.1    Murad, M.A.2
  • 52
    • 0029413219 scopus 로고
    • A multi-scale theory of swelling porous media: I. Application to one-dimensional consolidation
    • Murad M.A., Bennethum L.S., and Cushman J.H. A multi-scale theory of swelling porous media: I. Application to one-dimensional consolidation. Transp Porous Media 19 (1995) 93-122
    • (1995) Transp Porous Media , vol.19 , pp. 93-122
    • Murad, M.A.1    Bennethum, L.S.2    Cushman, J.H.3
  • 53
    • 0001516947 scopus 로고    scopus 로고
    • Multiscale flow and deformation in hydrophilic swelling porous media
    • Murad M.A., and Cushman J.H. Multiscale flow and deformation in hydrophilic swelling porous media. Int J Eng Sci 34 3 (1996) 313-336
    • (1996) Int J Eng Sci , vol.34 , Issue.3 , pp. 313-336
    • Murad, M.A.1    Cushman, J.H.2
  • 54
    • 0000432311 scopus 로고
    • Electrolyte osmosis through capillaries
    • Sasidhar V., and Ruckestein E. Electrolyte osmosis through capillaries. J Colloid Interface Sci 82 2 (1981) 439-457
    • (1981) J Colloid Interface Sci , vol.82 , Issue.2 , pp. 439-457
    • Sasidhar, V.1    Ruckestein, E.2
  • 56
    • 0038128644 scopus 로고    scopus 로고
    • Multiscale fluid transport theory for swelling biopolymers
    • Singh P.P., Cushman J.H., and Maier D.E. Multiscale fluid transport theory for swelling biopolymers. Chem Eng Sci 58 11 (2003) 2409-2419
    • (2003) Chem Eng Sci , vol.58 , Issue.11 , pp. 2409-2419
    • Singh, P.P.1    Cushman, J.H.2    Maier, D.E.3
  • 57
    • 16644366642 scopus 로고    scopus 로고
    • Effect of viscoelastic relaxation on moisture transport in foods. part ii: Sorption and drying of soybeans
    • Singh P.P., Maier D.E., Maier D.E., and Campanella O.H. Effect of viscoelastic relaxation on moisture transport in foods. part ii: Sorption and drying of soybeans. J Math Biol 49 (2004) 20-34
    • (2004) J Math Biol , vol.49 , pp. 20-34
    • Singh, P.P.1    Maier, D.E.2    Maier, D.E.3    Campanella, O.H.4
  • 58
    • 16644390611 scopus 로고    scopus 로고
    • Effect of viscoelastic relaxation on moisture transport in foods. part i: Solution of general transport equation
    • Singh P.P., Maier D.E., and Maier D.E. Effect of viscoelastic relaxation on moisture transport in foods. part i: Solution of general transport equation. J Math Biol 49 (2004) 1-19
    • (2004) J Math Biol , vol.49 , pp. 1-19
    • Singh, P.P.1    Maier, D.E.2    Maier, D.E.3
  • 59
    • 34547792140 scopus 로고    scopus 로고
    • von Terzaghi K. The shearing resistance of saturated soils and the angle between the planes of shear. In: First international conference on soil Mechanics, Harvard University, vol. 1; 1936. p. 54-6.
  • 62
    • 33750708249 scopus 로고    scopus 로고
    • On the derivation of the transport equation for swelling porous materials with finite deformation
    • Weinstein T., and Bennethum L.S. On the derivation of the transport equation for swelling porous materials with finite deformation. Int J Eng Sci 44 18-19 (2006) 1408-1422
    • (2006) Int J Eng Sci , vol.44 , Issue.18-19 , pp. 1408-1422
    • Weinstein, T.1    Bennethum, L.S.2
  • 63
    • 84984083570 scopus 로고
    • Diffusion and dispersion in porous media
    • Whitaker S. Diffusion and dispersion in porous media. AIChEJ 13 3 (1967) 420-427
    • (1967) AIChEJ , vol.13 , Issue.3 , pp. 420-427
    • Whitaker, S.1
  • 64
    • 85023669587 scopus 로고
    • Advances in theory of fluid motion in porous media
    • Whitaker S. Advances in theory of fluid motion in porous media. Ind Eng Chem 61 12 (1969) 14-28
    • (1969) Ind Eng Chem , vol.61 , Issue.12 , pp. 14-28
    • Whitaker, S.1


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