Models for thermo-hydro-mechanical behavior of saturated/unsaturated porous media are reviewed. The necessary balance equations are derived using averaging theories. Constitutive equations are obtained using the Coleman-Noll procedure and thermodynamic equations for the model closure are introduced. A particular form of the governing equations is then solved numerically and the numerical properties are discussed. Application examples conclude the paper. There are 165 references in this review article.
Issue Section:
Review Articles
1.
Svendsen
B
and Hutter
K
(1995
), On the thermodynamics of a mixture of isotropic materials with constraints
, Int. J. Eng. Sci.
33
, 2021
–2054
.2.
de Boer
R
(1996
), Highlights in the historical development of the porous media theory: Toward a consistent macroscopic theory
, Appl. Mech. Rev.
49
(4
), 201
201
.3.
Woltman R (1794), Beitraege zur Hydraulischen Architektur, Dritter Band, Johann Christian Dietrich, Goettingen.
4.
Delesse
A
(1848
), Pour determiner la composition des roches
, Annales des Mines, 3 se´rie
13
, 379
–388
.5.
Fick
A
(1855
), Ueber diffusion
, Annalen der Physik und Chemie
94
, 59
–86
.6.
Darcy H (1856), Les Fontaines Publiques de la Ville de Dijon, Dalmont, Paris.
7.
Stefan
J
(1871
), Ueber das Gleichgewicht und die Bewegung, insbesondere die Diffusion von Gasmengen
, Sitzungsber Akad Wiss
Math-Naturwiss KI Abt II a, Wien 63
, 63
–124
.1.
Fillunger
P
(1913
), Der Auftrieb in Talsperren
, Oesterr. Wochenschrift fuer den oeffentl. Baudienst
, 19
, 532
–556
, 2.
1913
19
567
–570
.1.
von Terzaghi
K
(1923
), Die Berechnung der Durchlaessigkeitsziffer des Tones aus dem Verlauf der hydrodynamischen Spannungserscheinungen
, Sitzungsber Akad Wiss
, Math-Naturwiss KI Abt IIa, 132
, No. 3/4
, pp. 125
–138
.2.
Biot
MA
(1941
), General theory of three-dimensional consolidation
, J. Appl. Phys.
12
, 155
–164
.3.
Biot
MA
(1956
), General solution of the equation of elasticity and consolidation for a porous material
, ASME J. Appl. Mech.
23
, 91
–96
.4.
Coussy O (1995), Mechanics of Porous Continua, J Wiley, Chichester.
5.
Morland
LW
(1972
), A simple constitutive theory for fluid saturated porous solids
, J. Geophys. Res.
77
, 890
–900
.6.
Goodman
MA
and Cowin
SC
(1972
), A continuum theory for granular materials
, Arch. Ration. Mech. Anal.
44
, 249
–266
.7.
Sampaio
R
and Williams
WO
(1979
), Thermodynamics of diffusing mixtures
, J. Mec.
18
, 19
–45
.8.
Bowen
RM
(1982
), Compressible porous media models by use of theories of mixture
, Int. J. Eng. Sci.
20
, 697
–735
.9.
Bowen
RM
(1980
), Incompressible porous media models by use of the theory of mixtures
, Int. J. Eng. Sci.
18
, 1129
–1148
.10.
Passman SL, Nunziato JW, and Walsh EK (1984), A theory of multiphase mixtures Rational Thermodynamics, C Truesdell (ed), Springer Verlag, Berlin.
11.
Hassanizadeh
M
and Gray
WG
(1979
), General conservation equations for multiphase systems: 1 Averaging procedure
, Adv. Water Resour.
2
, 131
–144
.12.
Hassanizadeh
M
and Gray
WG
(1979
), General conservation equations for multiphase systems: 2 Mass, momenta, energy and entropy equations
, Adv. Water Resour.
2
, 191
–203
.13.
Whitaker S (1980), Heat and mass transfer in granular porous media, Advances in Drying 1, Hemisphere, New York.
14.
Auriault
JL
(1987
), Non saturated deformable porous media: Quasistatics
, Transp. Porous Media
2
, 45
–64
.15.
Auriault JL (1991) Dynamic behavior in porous media, Transport Processes in Porous Media, J Bear and MY Corsapcioglu (eds), Kluwer, Dordrecht, 471–519.
16.
Hassanizadeh
M
and Gray
WG
(1980
), General conservation equations for multiphase systems: 3 Constitutive theory for porous media flow
, Adv. Water Resour.
3
, 25
–40
.17.
Hassanizadeh
SM
and Gray
WG
(1990
), Mechanics and thermodynamics of multiphase flow in porous media including interphase transport
, Adv. Water Resour.
13
, 169
–186
.18.
Zienkiewicz OC, Chan A, Pastor M, Schrefler BA, and Shiomi T (1999), Computational Soil Dynamics with Special Reference to Earthquake Engineering, J Wiley, Chichester.
19.
de Groot SR and Mazur P (1984), Non-Equilibrium Thermodynamics, Dover, New York.
20.
Eu BC (1992), Kinetic Theory and Irreversible Thermodynamics, J Wiley, New York.
21.
Kuiken GDC (1994), Thermodynamics of Irreversible Processes, J Wiley, Chichester, (UK).
22.
Burshtein AI (1996), Introduction to Thermodynamics and Kinetic Theory of Matter, J Wiley, New York.
23.
Bear J (1988), Dynamics of Fluids in Porous Media, Dover, New York.
24.
Bachmat
Y
and Bear
J
(1986
), Macroscopic modelling of transport phenomena in porous media. 1: The continuum approach
, Transp. Porous Media
1
, 213
–240
.25.
Bear
J
and Bachmat
Y
(1986
), Macroscopic modeling of transport phenomena in porous media. 2: Applications to mass, momentum and energy transport
, Transp. Porous Media
1
, 241
–269
.26.
Kaviany M (1991), Principles of Heat Transfer in Porous Media, Springer Verlag, New York.
27.
Nozad
I
, Carbonell
RG
, and Whitaker
S
(1985
), Heat conduction in multiphase systems-I: Theory and experiment for two-phase systems
, Chem. Eng. Sci.
40
(5
), 843
–855
.28.
Auriault
JL
(1983
), Effective macroscopic description for heat conduction in periodic composites
, Int. J. Heat Mass Transf.
26
(6
), 861
–869
.29.
Auriault
JL
and Rover
P
(1993
), Double conductivity media: a comparison between phenomenological and homogenization approaches
, Int. J. Heat Mass Transf.
36
(10
), 2613
–2621
.30.
Stauffer D and Aharony A (1992), Introduction to the Percolation Theory, 2nd edition, Taylor & Francis, London.
31.
Coleman
BD
and Noll
W
(1963
), The thermodynamics of elastic materials with heat conduction and viscosity
, Arch. Ration. Mech. Anal.
13
, 168
–178
.32.
Gray
WG
and Hassanizadeh
SM
(1991
), Paradoxes and realities in unsaturated flow theory
, Water Resour. Res.
27
, 1847
–1854
.33.
Gray
WG
and Hassanizadeh
SM
(1991
), Unsaturated flow theory including interfacial phenomena
, Water Resour. Res.
27
, 1855
–1863
.34.
Baggio
P
, Bonacina
C
, and Schrefler
BA
(1997
), Some considerations on modelling heat and mass transfer in porous media
, Transp. Porous Media
28
, 233
–281
.35.
de Boer R, Ehlers W, Kowalski S, and Plischka J (1991), Porous media, a survey of different approaches, Forschungsbericht aus dem Fachbereich Bauwesen 54, Universita¨t-Gesamthochschule Essen.
36.
Achanta
S
, Cushman
JH
, and Okos
MR
(1994
), On multicomponent, multiphase thermomechanics with interfaces
, Int. J. Eng. Sci.
32
, 1717
–1738
.37.
Lewis RW and Schrefler BA (1998), The Finite Element Method in the Static and Dynamic Deformation and Consolidation in Porous Media, J Wiley, Chichester.
38.
Bennethum
LS
and Cushman
JH
(1996
), Multiscale, hybrid mixture theory for swelling systems-I: Balance laws
, Int. J. Eng. Sci.
34
(2
), 125
–145
.39.
Bennethum
LS
and Cushman
JH
(1996
), Multiscale, hybrid mixture theory for swelling systems-II: Constitutive theory
, Int. J. Eng. Sci.
34
(2
), 147
–169
.40.
Bennethum
LS
and Cushman
JH
(1999
), Coupled solvent and heat transport of a mixture of swelling porous particles and fluids: single time-scale problem
, Transp. Porous Media
36
, 211
–244
.41.
Wilmanski
K
(1995
), Lagrangean model of two phase porous material
, J. Non-Equil. Thermodyn.
20
, 50
–77
.42.
Gray
WG
and Schrefler
BA
(2001
), Thermodynamic approach to effective stress in partially saturated porous media
, Eur. J. Mech. A/Solids
20
, 521
–538
.43.
Gray WG (1999), Element of a systematic procedure for the derivation of macroscale conservation equations for multiphase flow in porous media, Kinetic and Continuum Theories of Granular and Porous Media, K Hutter and K Wilmanski (eds), CISM Courses and Lectures, No 400, Springer Verlag Wien, 67–129.
44.
Gray
WG
(1999
), Thermodynamics and consitutive theory for multiphase porous-media flow considering internal geometric constraints
, Adv. Water Resour.
22
(5
), 521
–547
.45.
Galka
A
, Telega
JJ
, and Wojnar
R
(1999
), Macroscopic equations for nonstationary flow of stokesian fluid through porous elastic medium
, Arch. Mech.
51
, 243
–274
.46.
Bennethum
LS
, Murad
MA
, and Cushman
JH
(2000
), Macroscale thermodynamics and the chemical potential for swelling porous media
, Transp. Porous Media
39
(2
), 187
–225
.47.
Bennethum SL (2001), private communication.
48.
Hassanizzadeh
SM
(1986
), Derivation of basic equations of mass transport in porous media, Part 2: Generalized Darcy’s and Fick’s law
, Adv. Water Resour.
9
, 207
–222
.49.
Bishop
AW
(1959
), The principle of effective stress
, Tek. Ukeblad
39
, 859
–863
.50.
Hutter
K
, Laloui
L
, and Vulliet
L
(1999
), Thermodynamically based mixture models of saturated and unsaturated soils
, Mech. Cohesive-Frict. Mater.
4
, 295
–338
.51.
Schrefler
BA
and Gawin
D
(1996
), The effective stress principle: Incremental or finite form?
, I J Num Anal Methods Geom
20
, 785
–814
.52.
Bolzon
G
and Schrefler
BA
(1995
), State surfaces of partially saturated soils: an effective pressure approach
, Appl. Mech. Rev.
48
(10
), 643
–649
.53.
Ehlers
W
(1995
), A single surface yield function for geomaterials
, Arch. Appl. Mech.
65
, 246
–259
.54.
Fredlund
DG
, Morgenstern
NR
, and Widger
RA
(1978
), The shear strength of unsaturated soil
, Can. Geotech. J.
15
, 313
–321
.55.
Gens
A
(1996
), Constitutive modelling, application to compacted soil
, Proc 1st Int Conf on Unsaturated Soils
, 3
, EE Alonso and P Delage (eds), Balkema, 1179
–1200
.56.
Alonso
EE
, Gens
A
, and Josa
A
(1990
), A constitutive model for partially saturated soils
, Geotechnique
40
(3
), 403
–430
.57.
Roscoe KH and Burland JB (1968), On the generalized stress-strain behavior of ‘wet’ clay, Engineering Plasticity, J Heyman and FA Leckie (eds) Cambridge Univ Press, Cambridge, 535–609.
58.
Kogho
Y
, Nakano
M
, and Myazaki
T
(1993
), Theoretical aspects of constitutive modelling for unsaturated soils
, Soils Found.
33
(4
), 49
–63
.59.
Modaressi A and Abou-Bekr N (1994), A unified approach to model the behavior of saturated and unsaturated soils, Proc of 8th Int Conf Computer Methods and Advances in Geomechanics, Balkema, 1507–1513.
60.
Hujeux JC (1985), Une loi de comportment pour le chargement cyclique des sols, Ge´nie parasismique V Davidouvici (ed) Presses de l’ENPC, 287–303.
61.
di Prisco
C
and Jommi
C
(1994
), Un semplice approccio teorico per la modellazione del comportamento meccanico dei terreni granulari parzialmente saturi. Convegno sul tema:
Il ruolo dei fluidi nei problemi di Ingegneria Geotecnica
, Mondovı` 6-7/9 1994 1
, Parte II, pp. 167
–188
.62.
di Prisco C, Nova R, and Lanier J (1993), A mixed isotropic-kinematic hardening constitutive law for sand, Modern Approaches to Plasticity, D Kolymbas (ed), Elsevier App Sci, 83–124.
63.
Cui
YP
and Delage
P
(1996
), Yielding and plastic behavior of an unsaturated compacted silt
, Geotechnique
46
(2
), 291
–311
.64.
Yasufuku
N
, Murata
H
, and Hyodo
M
(1991
), Yield characteristics of anisotropically consolidated sand under low and high stresses
, Soils Found.
31
(1
), 95
–109
.65.
Pakzad M (1995), Modelisation du comportement hydro-mecanique des argiles gonflantes a faible porosite´, PhD thesis, Universite´ d’Orleans.
66.
Wheeler
S
and Sivakumar
V
(1995
), An elasto-plastic critical state framework for unsaturated soil
, Geotechnique
45
(1
), 35
–53
.67.
Bolzon
G
, Schrefler
BA
, and Zienkiewicz
OC
(1996
), Elastoplastic soil constitutive laws generalized to semisaturated states
, Geotechnique
46
(2
), 279
–289
.68.
Pastor
M
, Zienkiewicz
OC
, and Chan
AHC
(1990
), Generalized plasticity and the modelling of soil behavior
, Int. J. Numer. Analyt. Meth. Geomech.
14
, 151
–190
.69.
Geiser F (1999), Comportement me´canique d’un limon non sature´, PhD thesis, 1942, Civil Eng, Dept, EPFL, Lausanne.
70.
Delage P, Schroeder C, and Cui YJ (1996), Subsidence and capillary effects in chalk, Proc Eurock’96, Balkema, Rotterdam, 1291–1298.
71.
Nova R (1982), A constitutive model for soil under monotonic and cyclic loading, from Soil Mechanics-Transient and Cyclic loads, GN Pande and OC Zienkiewicz (eds), Wiley, Chichester, 343–375.
72.
Laloui L, Geiser F, Vulliet L, Li XL, Bolle A, and Charlier R (1997), Characterization of the mechanical behavior of an unsaturated sandy silt, Proc of XVI Int Conf on Soil Mech and Found Eng, Hamburg, 347–350.
73.
Fredlund
DG
and Morgenstern
NR
(1977
), Stress state variables for unsaturated soils
, J. Geotech. Eng.
103
, NoGT5, 447
–466
.74.
Gawin
D
, Baggio
P
, and Schrefler
BA
(1995
), Coupled heat, water and gas flow in deformable porous media
, Int. J. Numer. Methods Fluids
20
, 969
–987
.75.
Hassanizadeh SM and Gray WG (1997), Recent advance in theories of two-phase flow in porous media, Fluid Transport in Porous Media, J Prieur du Plessis (ed), Comput Mech Publ, Southampton-Boston, 105–160.
76.
Sandhu
RS
and Wilson
EL
(1969
), Finite element analysis of flow in saturated porous media
, J. Eng. Mech. Div.
95
(EM3
), 641
–5224
.77.
Schiffman
RL
, Chen
ATF
, and Jordan
JC
(1969
), An analysis of consolidation theories
, J. Soil Mech. Found. Div.
95
(SM1
), 285
–312
.78.
Christian
JT
and Boehmer
JW
(1970
), Plane strain consolidation by finite elements
, J. Soil Mech. Found. Div.
96
(SM4
), 1435
–1457
.79.
Hwang
CT
, Morgenstern
NR
, and Murray
DW
(1971
), On solution of plane strain consolidation problems by finite element methods
, Can. Geotech. J.
8
, 109
–118
.80.
Yokoo
Y
, Yamagata
K
, and Nagaoka
H
(1971
), Finite element method applied to Biot’s consolidation theory, soils and foundation
, Japanese Soc. Soil Mech. Found. Eng.
11
(10
), 29
–46
.81.
Ghaboussi
J
and Wilson
EL
(1973
), Flow of compressible fluid in porous elastic media
, Int. J. Numer. Methods Eng.
5
, 419
–442
.82.
Lewis
RW
, Roberts
GK
, and Zienkiewicz
OC
(1976
, A non-linear flow and deformation analysis of consolidation problems
, Numerical Methods in Geomechanics
, CS Desai (ed), ASCE 2
, 1106
–1118
.83.
Schrefler
BA
, Lewis
RW
, and Norris
VA
(1977
), A case study of surface subsidence of the Polesine area
, Int. J. Numer. Analyt. Meth. Geomech.
1
, 377
–86
.84.
Small
JC
, Booker
JR
, and Davis
EH
(1976
), Elastoplastic consolidation of soil
, Int. J. Solids Struct.
12
, 431
–448
.85.
Runesson K (1978), On nonlinear consolidation of soft clay, Thesis, Dept of Struct Mech, Chalmers Univ of Tech, Goeteborg.
86.
Desai CS and Siriwardane THJ (1979), Subsidence due to consolidation including nonlinear behavior, Evaluation and Prediction of Subsidence, SK Saxena (ed), ASCE, New York, 500–515.
87.
Zienkiewicz OC, Humpheson C, and Lewis RW (1977), A unified approach to soil mechanics problems including plasticity and visco-plasticity, Ch 4, Finite Elements in Geomechanics, G Gudehus (ed), Wiley, London 151–177.
88.
Prevost
JH
(1981
), Consolidation of anelastic porous media
, J. Eng. Mech. Div.
107
(EM1
), 169
–186
.89.
Carter
JP
, Booker
JR
, and Small
JC
(1979
), The analysis of finite elastoplastic consolidation
, Int. J. Numer. Analyt. Meth. Geomech.
2
, 107
–129
.90.
Norris VA (1980), The elasto-plastic analysis of soil consolidation with special reference to kinematic hardening, PhD thesis, Univ College of Swansea.
91.
Cividini A and Gioda G (1982), Compatible and equilibrium FE for soil consolidation: A preliminary comparison, Numerical Methods in Geomechanics Z Eisenstein (ed), AA Balkema, 297–306.
92.
Zienkiewicz OC (1982), Basic formulation of static and dynamic behavior of soil and other porous materials, Numerical Methods in Geomechanics, JB Martins (ed), D Reidl Pub Co, 39–57.
93.
Zienkiewicz
OC
and Shiomi
T
(1984
), Dynamic behavior of saturated porous media: The generalized Biot formulation and its numerical solution
, Int. J. Numer. Analyt. Meth. Geomech.
8
, 71
–96
.94.
Prevost
JH
, Abdel-Ghaffar
AM
, and Lacy
SJ
(1985
), Nonlinear dynamic analysis of an earth dam
, J. Geotech. Eng.
111
(7
), 882
–897
.95.
Ehlers
W
and Kubik
J
(1994
), On finite dynamic equations for fluid-saturated soils
, Acta Mech.
105
, 101
–117
.96.
Safai
NM
and Pinder
GF
(1979
), Vertical and horizontal land deformation in a desaturating porous medium
, Adv. Water Resour.
2
, 19
–25
.97.
Schrefler BA and Simoni L (1988), A unified approach to the analysis of saturated-unsaturated elastoplastic porous media, Numerical Methods in Geomechanics, G Swoboda (ed), A Balkema, 205–212.
98.
Zienkiewicz
OC
, Chan
AHC
, Pastor
M
, Paul
DK
, and Shiomi
T
(1990
), Static and dynamic behavior of soils: a rational approach to quantitative solutions. I. Fully saturated problems
, Proc. R. Soc. London, Ser. A
429
, 285
–309
.99.
Zienkiewicz
OC
, Xie
YM
, Schrefler
BA
, Ledesma
A
, and Bicanic
N
(1990
), Static and Dynamic behavior of soils: A rational approach to quantitative solutions. II. Semi-saturated problems
, Proc. R. Soc. London, Ser. A
429
, 311
–321
.100.
Meroi
E
, Schrefler
BA
, and Zienkiewicz
OC
(1995
), Large strain static and dynamic semi-saturated soil behavior
, Int. J. Numer. Analyt. Meth. Geomech.
19
(2
), 81
–106
.101.
Morgan
K
, Lewis
RW
, and White
IR
(1980
), The mechanism of ground surface subsidence above competing multiphase reservoirs and their analysis by the finite element method
, Appl. Math. Model.
4
, 215
–224
.102.
Li
X
, Zienkiewicz
OC
, and Xie
YM
(1990
), A numerical model for immiscible two-phase fluid flow in a porous medium and its time domain solution
, Int. J. Numer. Methods Eng.
30
, 1195
–1212
.103.
Schrefler
BA
and Zhan
XY
(1993
), A fully coupled model for water flow and airflow in deformable porous media
, Water Resour. Res.
29
, 155
–167
.104.
Simoni
L
, Salomoni
V
, and Schrefler
BA
(1999
), Elastoplastic subsidence models with and without capillary effects
, Comput. Methods Appl. Mech. Eng.
171
, 491
–502
.105.
Bear
J
and Corapcioglu
MY
(1981
), Mathematical model for regional land subsidence due to pumping. 2. Integrated aquifer subsidence equations for vertical and horizontal displacements
, Water Resour. Res.
17
, 947
–958
.106.
Aboustit
BL
, Advani
SH
, and Lee
JK
(1985
), Variational principles and finite element simulations for thermo-elastic consolidation
, Int. J. Numer. Analyt. Meth. Geomech.
9
, 49
–69
.107.
Lewis
RW
, Majorana
CE
, and Schrefler
BA
(1986
), A coupled finite element model for the consolidation of non-isothermal elastoplastic porous media
, Transp. Porous Media
1
, 155
–178
.108.
Geraminegad
M
and Saxena
SK
(1986
), A coupled thermoelastic model for saturated-unsaturated porous media
, Geotechnique
36
(4
), 539
–550
.109.
Philip
JR
and de Vries
DA
(1957
), Moisture movement in porous materials under temperature gradients
, Trans., Am. Geophys. Union
38
, 222
–232
.110.
Olivella
S
, Carrera
J
, Gens
A
, and Alonso
EE
(1994
), Non-isothermal multiphase flow of brine and gas through saline media
, Transp. Porous Media
15
, 271
–293
.111.
Thomas
HR
and He
Y
(1995
), Analysis of coupled heat, moisture, and air flow in a deformable unsaturated soil
, Geotechnique
45
(4
), 677
–689
.112.
Maier G and Comi C (1997), Variational finite element modelling in poroplasticity, Proc of Recent Developments in Computational and Applied Mechanics, BD Reddy (ed), CIMNE, Barcelona, 180–198.
113.
Cocchetti
G
and Maier
G
(1998
), Static shake-down theorems in piecewise linearized poroplasticity
, Arch. Appl. Mech.
68
, 651
–661
.114.
Cocchetti
G
and Maier
G
(2000
), Shake-down analysis in poroplasticity by linear programming
, Int. J. Numer. Methods Eng.
47
, 141
–168
.115.
Cocchetti G and Maier G (2000), Upper bounds on shake-down quantities in poroplasticity, Inelastic Analysis of Structures under Variable Repeated Loads, D Weichert and G Maier (ed), Kluwer Acad. Publ., 289–314.
116.
Maier
G
, Carvelli
V
, and Cocchetti
G
(2000
), On direct methods for shake-down and limit analysis
, Eur. J. Mech. A/Solids
19
, S79–S100
S79–S100
.117.
Rice
JR
(1985
), On the stability of dilatant hardening for saturated rock masses
, J. Geophys. Res.
80
, 1531
–1536
.118.
Rudnicki
JW
(1984
), Effect of dilatant hardening on the development of concentrated shear-deformation in fissured rock masses
, J. Geophys. Res.
89
(B11
), 9259
–9270
.119.
Vardoulakis
I
(1986
), Dynamic stability analysis of undrained simple shear on water-saturated granular soils
, Int. J. Numer. Analyt. Meth. Geomech.
10
, 177
–190
.120.
Loret
B
and Prevost
JH
(1991
), Dynamic strain localization in fluid-saturated porous media.
, J. Eng. Mech.
11
, 907
–922
.121.
Schrefler
BA
, Majorana
CE
, and Sanavia
L
(1995
), Shear band localization in saturated porous media
, Arch. Mech.
47
, 577
–599
.122.
Schrefler
BA
, Sanavia
L
, and Majorana
CE
(1996
), A multiphase medium model for localization and postlocalization simulation in geomaterial
, Mech. Cohesive-Frict. Mater.
1
, 95
–114
.123.
Sluys LJ (1992), Wave propagation, localization and dispersion in softening solids, PhD thesis, Dept of Civil Eng, Delft Univ, Netherlands.
124.
Zhang
HW
, Sanavia
L
, and Schrefler
BA
(1999
), An internal length scale in strain localisation of multiphase porous media
, Mech. Cohesive-Frict. Mater.
4
, 443
–460
.125.
Schrefler
BA
, Zhang
HW
, Pastor
M
, and Zienkiewicz
OC
(1998
), Strain localization modelling and pore pressure in saturated sand samples
, Comput. Mech.
22
, 266
–280
.126.
Zienkiewicz OC and Taylor R (1991), The Finite Element Method, Vols 1 and 2, McGraw Hill, New York.
127.
Park
KC
(1980
), Partitioned transient analysis procedures for coupled-field problems: stability analysis
, ASME J. Appl. Mech.
47
, 370
–376
.128.
Park KC and Felippa CA (1983), Partitioned analysis of coupled systems, Computational Methods for Transient Analysis, T Belytschko and TJR Hughes (eds), Elsevier, Amsterdam.
129.
Zienkiewicz
OC
, Paul
DK
, and Chan
AHC
(1980
), Unconditionally stable staggered solution procedure for soil-pore fluid interaction problems
, Int. J. Numer. Methods Eng.
26
, 1039
–1055
.130.
Thomas
HR
and Li
CLW
(1995
), Modelling transient heat and moisture transfer in unsaturated soil using a parallel computing approach
, Int. J. Numer. Analyt. Meth. Geomech.
19
, 345
–66
.131.
Wang
XC
, Gawin
D
, and Schrefler
BA
(1996
), A parallel algorithm for thermo-hydro-mechanical analysis of deforming porous media
, Comput. Mech.
19
, 94
–104
.132.
Wang
XC
, Baggio
P
, and Schrefler
BA
(1999
), A multi-level frontal algorithm for finite element analysis and its implementation on parallel computation
, Eng. Comput.
16
(4
), 406
–427
.133.
Wang
XC
and Schrefler
BA
(1998
), A multifrontal parallel algorithm for coupled thermo-hydro-mechanical analysis of deforming porous media
, Int. J. Numer. Methods Eng.
43
, 1069
–1083
.134.
Thomas
HR
, Yang
HT
, He
Y
, and Jefferson
AD
(1998
), Solving coupled thermo-hydro-mechanical problems in unsaturated soil using a substructuring frontal technique
, Commun. Numer. Meth. Eng.
14
, 783
–92
.135.
Thomas
HR
, Yang
HT
, and He
Y
(1999
), A substructure based parallel solution of coupled thermo-hydro-mechanical modelling of unsaturated soil
, Eng. Comput.
16
(4
), 428
–442
.136.
Gawin
D
and Schrefler
BA
(1996
), Thermo-hydro-mechanical analysis of partially saturated porous materials
, Eng. Comput.
13
, 113
–143
.137.
Schrefler
BA
and Scotta
R
(2001
), A fully coupled dynamic model for two phase fluid flow in deformable porous media
, Comput. Methods Appl. Mech. Eng.
190
, 3223
–3246
.138.
Klubertanz G (1999), Zur hydromechanischen Kopplung in dreiphasigen poroesen Medien, PhD thesis, De´pt de Ge´nie Civil, EPF Lausanne.
139.
Dakshanamurthy
V
, and Fredlund
EG
(1981
), A mathematical model for predicting moisture flow in an unsaturated soil under hydraulic and temperature gradients
, Water Resour. Res.
17
, 714
–722
.140.
Schrefler
BA
, Zhang
HW
, and Simoni
L
(1995
), A coupled model for water flow, airflow, and heat flow in deforming porous media
, Int. J. Numer. Methods Heat Fluid Flow
5
, 531
–547
.141.
Lambe TW and Whitman RV (1969), Soil Mechanics, John Wiley & Sons.
142.
Brooks
RN
and Corey
AT
(1966
), Properties of porous media affecting fluid flow
, J. Irrig. Drain. Div. Am. Soc. Civ. Eng.
, 92
(IR2), 61
–68
.143.
Krischer O and Kroell K (1978), Trocknungstechnik, Band. 1, 3rd ed. Die wissenschaftlichen Grundlagen der Trocknungstechnik, Springer Verlag, Berlin-Goettingen-Heidelberg.
144.
Gawin
D
and Klemm
P
(1994
), A model of coupled heat and moisture transfer with phase changes in porous building material
, Arch. Civ. Eng.
40
, 89
–104
.145.
Giannuzzi M, Majorana CE, Pesavento F, and Schrefler BA (1999), Enhanced hydrothermo-mechanical analysis of HPC and UHPC concrete structures, Proc of XII Convegno Italiano di Meccanica Computazionale, AIMETA, GIMC 99, Napoli.
146.
Brite Euram III (1996), BE-1158/BRPR-CT95-006, Hiteco Progress Report.
147.
Gawin
D
, Majorana
CE
, and Schrefler
BA
(1999
), Numerical analysis of hygro-thermal behavior and damage of concrete at high temperature
, Mech. Cohesive-Frict. Mater.
4
, 37
–76
.148.
Mazars
J
and Pijaudier-Cabot
G
(1989
), Continuum damage theory-application to concrete
, J. Eng. Mech.
115
(2
), 345
–365
.149.
Briseghella L, Sanavia L, and Schrefler BA (1999), Seismic analysis of earth dams using a multiphase model. Proceedings of the IX Italian National Congress “L’Ingegneria Sismica in Italia,” Turin (Italy).
150.
Desrues J and Mokni M, Drained and Undrained Biaxial Test Data on Hostun RF Sand, Data base Alert96, ALERT Web server.
151.
Mokni M (1992), Relations entre de´formations en masse et de´formations localise´es dans les mate´riaux granulaires, PhD Thesis, Inst de Me`canique de Grenoble, France.
152.
Mcmanus
KJ
and Davis
RO
(1997
), Dilatation induced pore fluid cavitation in sands
, Geotechnique
47
(1
), 173
–177
.153.
Moricca G, Ripa G, Sanfilippo E, and Santarelli FJ (1994), Basin scale rock mechanics: Field observations of sand production, Proc of Eurock ’94, Balkema, Rotterdam, 317–328.
154.
Gambolati
G
, Ricceri
G
, Bertoni
W
, Brighenti
G
, and Vuillermin
E
(1991
), Mathematical simulation of the subsidence of Ravenna
, Water Res.
27
, 2899
–2918
.155.
AGIP (1996), Progetto Alto Adriatico—Studio di impatto ambientale, (Project Upper Adriatic Sea—Environmental Impact Study, in Italian) AGIP, San Donato, Italy.
156.
Simoni
L
and Schrefler
BA
(2001
), Parameter identification for a suction dependent plasticity model
, Int. J. Numer. Analyt. Meth. Geomech.
25
, 273
–288
.157.
Bolzon G and Schrefler BA (1997), Compaction in gas reservoirs due to capillary effects, invited lecture, Proc of COMPLAS V, Barcelona, Computational Plasticity, DRJ OE Onate and E Hinton (eds), CIMNE, 1625–1630.
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