Poromechanics-A Tribute to Maurice A. Biot
Proceedings of the First Biot Conference on Poromechanics, Louvain la Neuve, Belgium, 1998.
Edited by: Thimus, J.-F., Abousleiman, Y., Cheng, A.H.-D., Coussy, O., and Detournay, E.
Honorary Chairman
- M. Crochet, Rector (Université catholique de Louvain, Belgium).
Organizing Committee
- J.-F. Thimus (Université catholique de Louvain, Belgium);
- Y. Abousleiman (Lebanese American University, Lebanon; University of Oklahoma, USA);
- A. Cheng (University of Delaware, USA);
- O. Coussy (Laboratoire central des Ponts et Chaussées, France);
- E. Detournay (University of Minnesota, USA).
Scientific Committee
- J.-F. Allard (Université du Maine, France);
- Z.P. Bazant (Northwestern University, USA);
- J.G. Berryman (Lawrence Livermore National Laboratory, USA);
- J.R. Booker (†) (University of Sydney, Australia);
- W. Ehlers (Universität Stuttgart, Germany);
- V.C. Mow (Columbia University, USA);
- V.N. Nikolaevskiy (Russian Academy of Sciences, Russia);
- A.M. Nur (Stanford University, USA);
- C. Oddou (Université de Paris 12, France);
- J.W. Rudnicki (Northwestern University, USA);
- A. Verruijt (TU Delft, The Netherlands);
- O.C. Zienkiewicz (University of Wales, UK).
Local Committee:
- E. Lousberg (Université catholique de Louvain);
- J. Carmeliet (Katholieke Universiteit Leuven);
- R. Charlier (Université de Liège);
- A. Cops (Katholieke Universiteit Leuven);
- J.-P. Coyette (Université catholique de Louvain);
- G. Degrande (Katholieke Universiteit Leuven);
- A. Delmer (Académie Royale de Belgique);
- G. Henriet (Université catholique de Louvain);
- A. Holeyman (Université catholique de Louvain);
- P. Radelet - De Grave (Université catholique de Louvain);
- J.-F. Thimus (Université catholique de Louvain).
Table of Contents
Foreword XV
Organization XVII
Keynotes
- J.-P. Coyette (acoustics)
- W. Ehlers (soil mechanics/numerical modelling)
- V. C. Mow (biomechanics)
- J. W. Rudnicki (geomechanics/geophysics)
Constitutive Modelling
Numerical study of geomaterials in the light of modern theories of porous media 3
P. Arduino & E.J. Macari
Rocks as poroelastic composites 11
J.G. Berryman
First-order phase transitions in porous media 17
J. Bluhm
Numerical simulation of postseismic deformation due to pore fluid diffusion 23
W.J. Bosl & A. Nur
Biot’s model extensions – Approach by homogenization 29
C. Boutin & J.L. Auriault
A micro-macro approach to the constitutive formulation of large strain poroelasticity 35
P. de Buhan, X. Chateau & L. Dormieux
On the poro-visco-elastic and damage coupling in nonsaturated porous media 41
J. Carmeliet
A micromechanical approach to the behaviour of unsaturated porous media 47
X. Chateau & L. Dormieux
A two-scale modelling of a swelling clay 53
O. Coussy, P. Dangla, L. Dormieux & E. Lemarchand
Non linear poroelasticy for unsaturated porous materials: An energy approach 59
P. Dangla & O. Coussy
Consolidation of unsaturated soils – Identification of Biot’s coefficient 65
P. Devillers, M.S. El Youssoufi & C. Saix
Constitutive modelling of micropolar porous media 71
S. Diebels
Simulation of MMC-Infiltration processing 77
Th. Dopler, A. Modaressi, D. Aubry & V. Michaud
On differential stress in nonlinear hyperelastic porous solids 83
D. Elata
Wave-induced seabed response around pipelines with variable soil characteristics 87
D.S. Jeng
Thermodynamics of saturated and unsaturated soils 93
L. Laloui, L. Vulliet & K. Hutter
Localization in an undrained hyperelastoplastic porous medium 99
R. Larsson, J. Larsson, K. Runesson & S. Sture
A constitutive model for swelling of compressible porous media 105
M.M. Molenaar, J.M. Huyghe & F.P.T. Baaijens
A generalized Biot’s model of non-isothermal consolidation of clays incorporating 111
physicochemical effects
M. Murad & J. Cushman
Secondary consolidation and creep of granular and swelling porous media derived 117
from microstructure
M. Murad, J.N. Guerreiro & A.D. Loula
The Biot model of interpenetrating continua and its role in geomechanics 123
V.N. Nikolaevskiy
Partitioned solution procedure for integration of coupled diffusion problems 129
J.H. Prevost
Spatial and material description of some processes in rigid and non-rigid saturated 135
and unsaturated soils
P.A.C. Raats
Constitutive modeling of fluid-saturated porous media with degrading elastic properties 141
E. Rizzi & B. Loret
Integrating micromechanics in modeling relaxation behavior of cohesive soils 147
T.C. Sheahan & V.N. Kaliakin
Modelisation of solute transport in non saturated porous media 153
J. Sicard & I. Mathieu
Linear coupled analysis of desiccation shrinkage: Explicit and semi-explicit solutions 159
G. Thouvenin, A. Giraud, F. Homand & T. Lassabatère
Thermodynamic basis for the use of two independent stress state variables in unsaturated soil 165
mechanics
C.-F. Wei & K.K. Muraleetharan
Wave Propagation
Transmission of acoustical waves through an anisotropic porous plate 173
A. Aknine, A. Moussatov, C. Ayrault, B. Castagnède & C. Depollier
Surface mode generation at porous interfaces by permanent and transient heterogeneous 179
plane waves
R. Briers & O. Leroy
Experimental verification of wave propagation models for saturated media 185
T.S. Butalia, W.E. Wolfe & B.A. Dreger
Biot’s theory and granular media 191
N.P. Chotiros
Wave propagation in fractured porous media saturated by two immiscible fluids 197
M.Y. Corapcioglu & K. Tuncay
Rayleigh-type surface wave in a fluid-saturated porous medium with a structure 205
R. Dzięcielak
Wave propagation in multilayered poroelastic media 211
G. Degrande, G. De Roeck, P. Van den Broeck & D. Smeulders
Processes of propagation and interaction of shock waves with obstacle in gas-saturated 217
porous media
A.A. Gubaidullin & D.N. Dudko
The features of linear wave propagation in fractured porous media 221
A.A. Gubaidullin & O.Yu. Kuchugurina
Acoustics of a poroelastic medium with low-constrast macroscopic ellipsoidal inclusions 227
B. Gurevich & A.P. Sadovnichaja
Asymptotic solutions of Biot’s equations 233
A. Hanyga
Linear oscillatory water wave propagating over soft poroelastic bed 239
P.C. Hsieh, L.H. Huang & T.W. Wang
Small strain elastic moduli of saturated and dry sands 245
F.G. Huot & L. Vulliet
Wave propagation in saturated porous materials in Biot’s higher frequency range 253
M. Kaczmarek, J. Kochański & J. Kubik
Observation of air-borne and frame-borne waves through porous layers saturated by air 259
W. Lauriks, L. Kelders & J.F. Allard
Probing porous media with ultrasonic waves in different saturating gases 265
P. Leclaire, W. Lauriks, L. Kelders & J.F. Allard
Pressure waves reflection at the interface between liquid and three-phase medium 271
V.E. Nakoryakov, V.E. Dontsov & B.G. Pokusaev
Elastic wave propagation in fluid-saturated porous media containing gas bubbles 277
V.E. Nakoryakov & V.V. Kuznetsov
Dispersion of acoustic waves in poroelastic media with azimuthal anisotropy 283
J.O. Parra
Monitoring cement pastes setting using piezoelectric implants – Modelling using Biot’s 289
theory
S. Pouyez & R. Hazebrouck
The theory of electroseismic wave phenomena 295
S.R. Pride
Estimating the permeability from fluid-injection induced seismic emission 301
S.A. Shapiro, J.-J. Royer & P. Audigane
Ultrasonic experiments of wave reflection, propagation, and damping in poroelastic media 307
D.M.J. Smeulders & O. Kelder
Computational methods for scattering of plane waves in poroelastic media 313
M. Stern & N.P. Chotiros
Seafloor sediment acoustics 319
R.D. Stoll
Effect of loose boundaries on inhomogeneous Biot waves in layered media 325
A.K. Vashisth
Poro-Diffusion Problems
Modeling two-phase fluid flow and rock deformation in fractured porous media 333
M. Bai, F. Meng, J.-C Roegiers & Y.A. Abousleiman
A finite element formulation for the coupled hydro-mechanical behaviour of porous rock 339
joints
F. Baldoni & A. Millard
Exact solutions for flow and deformation within finite poroelastic media 345
S.I. Barry & G.N. Mercer
Pore compressibility in rocks 351
P.A. Berge
Fractal representation of poromechanics involved in the consolidation process 357
M.V.S. Bonala & L.N. Reddi
Numerical modelling of static and dynamic geomechanics problems using the 363
generalised Biot formulation and comparison with centrifuge experiments
A.H.C. Chan & O.C. Zienkiewicz
Two-phase behaviour of a saturated strain softening soil 371
A. Cividini & D. Sterpi
Thermo-hydro-mechanical coupling in clay barriers 377
F.Collin, X.L. Li, R. Charlier & J.P. Radu
Modeling of chemo-mechanical coupled effects in halitic porous media 385
Ph. Cosenza, M. Ghoreychi & K. Su
Bone fluid poroelasticity 391
S.C. Cowin
The axisymmetric Mandel-type problem 397
L. Cui & Y. Abousleiman
Blood flow in microvessels lined with a poroelastic wall layer 403
E.R. Damiano
A regulatory model for tissue differentiation using poroelastic theory 409
W.D. van Driel, R. Huiskes & P.J. Prendergast
Poroelastic mechanism of fault reactivation as a result of resevoir depletion 415
L.N. Germanovich, R.A. Chanpura, L.M. Ring & A.G. Filippov
Models of stress effect on fluids and secondary oil migration in reservoirs 421
H. Tong & D. Li
Fractal porous media theory versus the experiment: Finite element modelling of 427
blood perfusion
J.M. Huyghe & W.J. Vankan
Theory of drying as an aspect of poromechanics 433
S.J. Kowalski, G. Musielak & A. Rybicki
Analytical solutions for the undrained response of a poro-elasto-plastic medium 439
around a cylindrical opening
V. Labiouse & A. Giraud
Deformable porous medium: Applications to soft biological tissues 445
S. Naili, C. Oddou & D. Geiger
A new problem of nonlinear filtration flows in fractured beds 451
V.S. Nustrov
Sanding prediction: Experimental results and numerical modeling 457
P. Papanastasiou, E.D. Nicholson, G. Goldsmith & J. Cook
Exact solution for poroelastic/plastic consolidation 463
W.G. Pariseau
Coupled phenomena in subsidence modelling 469
A. Pellegrino & M. Brignoli
Cellular poroelasticity: A theoretical model for soft tissue mechanics 475
A. Pena, M.D. Bolton & J.D. Pickard
One-dimensional contaminant transport through a consolidating soil: Application 481
to contaminant transport through a geocomposite liner
G.P. Peters & D.W. Smith
Hydromechanical coupling and basin tectonic compression 487
J.P. Radu, J.D. Barnichon & R. Charlier
Macroscopic modelling of gas flow through a fractured porous medium 493
P. Royer & J.L. Auriault
A cavity expansion problem for a bi-modulus poroelastic medium 499
A.P.S. Selvadurai & A.T. Mahyari
Application of Biot’s dynamic equation to seismic liquefaction problem 505
T. Shiomi, S. Tsukuni & O.C. Zienkiewicz
Theoretical modelling of load-induced fluid displacement in compact bone 511
R. Steck, M.L. Knothe Tate, P. Niederer & E. Schneider
The thermal consolidation of Boom clay 517
N. Sultan, P. Delage & Y.J. Cui
Non-linear effects in poroelasticity 525
A. Verruijt
Soil deformations around the piezocone using the coupled theory of mixtures 531
G.Z. Voyiadjis, M.Y. Abu-Farsakh & M.T. Tumay
Parameter Indentification
Sample tests on the validation of the effective stress law for rock discontinuities 539
Ö. Aydan
In-situ measurement of some thermoporoelastic parameters of a granite 545
I. Berchenko, E. Detournay, N. Chandler, J. Martino & E. Kozak
On the use of deterministic models to characterize the failure process of rocks from
ultrasonic velocities 551
J.F. Couvreur & J.-F. Thimus
Determination of acoustic foams parameters for isotropic Biot model 557
N. Dauchez, E. Mariez, S. Sahraoui, A. Bardot & N. Atalla
Influence of rock porosity on the Biot’s coefficient 561
D. Fabre & J. Gustkiewicz
Experimental compaction of clays and associated hydromechanical modelling 567
I. Djéran-Maigre, M. Barbier & D. Grunberger
Compressibility of rocks with a special consideration given to pore pressure 573
J. Gustkiewicz
Poroelastic effects during a laboratory transient pore pressure test 579
D.J. Hart & H.F. Wang
Liquefaction resistance of nearly saturated sand as correlated with longitudinal 583
wave velocity
K. Ishihara, Y. Huang & H. Tsuchiya
Mechano-sorptive effect for water soaked wood 587
M. Kowal
Biot modelling of unsaturated porous media and resaturation of clay barriers 593
T. Lassabatère, C. Imbert & M.A. Etilé
Scale separation in diffusion/dispersion tests in porous media 599
J. Lewandowska & J.-L. Auriault
Experimental study of porous media deformations at cyclic load 605
V.M. Maximov & N.N. Mikhailov
Poromechanical modeling of expanded graphite gaskets 609
E. Patron, O. Coussy, J.-C. Vignaud & O. Didry
Solid-fluid coupling phenomena in particulate media 615
C. Santamarina, M. Fam, D. Fratta & G. Cascante
Theoretical and experimental investigation of poroelasticity in porous brittle 621
materials
J.F. Shao, M. Sibai & M.H. Karami
Complete set of anisotropic poroelastic moduli for Berea sandstone 629
T. Tokunaga, D.J. Hart & H.F. Wang
Study of the effective stress at failure 635
O. Vincke, M.J. Boutéca, J.M. Piau & D. Fourmaintraux
Shock-tube measurements on water-saturated porous cylinders 641
C.J. Wisse, D.M.J. Smeulders & M.E.H. van Dongen
Author Index 647