Poromechanics II

Proceedings of the Second Biot Conference on Poromechanics, Grenoble, France, 2002.

Edited by: Auriault, J.-L., Geindreau, C., Royer, P., Bloch, J.-F., Boutin, C., and Lewandowska, L.

Conference Chairman

  • J.-L. Auriault, Université Joseph Fourier, Grenoble

International Permanent Committee

  • Y. Abousleiman, 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
  • J.-F. Thimus, Univ. catholique de Louvain, Belgium

Scientific Committee

  • A. Cheng, University of Delaware, USA (Coordinator)
  • Y. Abousleiman, University of Oklahoma, USA
  • J.-F. Allard, Université du Maine, France
  • O. Coussy, Laboratoire Central des Ponts et Chaussées, France
  • E. Detournay, University du Minnesota , USA
  • W. Ehlers, Universität Stuttgart, Germany
  • J. Kubik, Akademia Bydgoska, Poland
  • S. Lopatnikov, Moscow State University, Russia
  • M. Murad, LNCC, Petropolis, RJ, Brazil
  • C. Oddou, Université de Paris 12, France
  • M. Quintard, CNRS, Institut de Mécanique des Fluides de Toulouse, France
  • J. W. Rudnicki, Northwestern University, USA
  • A.P.S. Selvadurai, McGill University, Canada
  • S. Shapiro, Freie Universität Berlin, Germany
  • D.M.J. Smeulders, Delft Univ. of Technology, Netherlands
  • J.J. Telega, IPPT PAN, Poland
  • J.-F. Thimus, Univ. catholique de Louvain, Belgium
  • B. Ursin, Norwegian Univ. of Sci. and Tech., Norway
  • M. Vauclin, CNRS, Laboratoire d'Etude des Transferts en Hydrologie et Environnement, Grenoble, France
  • Y. Yortsos, University of Southern California, USA

Organizing Committee

  • J.-L. Auriault, Université Joseph Fourier, Grenoble
  • J. F. Bloch, EFPG, INPG, Grenoble
  • C. Boutin, ENTPE, Lyon
  • C. Geindreau, Université Joseph Fourier, Grenoble
  • S. Gustave, Université Joseph Fourier, Grenoble
  • J. Lewandowska, Université Joseph Fourier, Grenoble
  • P. Royer, CNRS, Laboratoire Sols Solides Structures, Grenoble

 

  

 

    

Table of Contents

 

Foreword                                                                                                                                                        XIII

 

Organization                                                                                                                                                   XV

 

Keynote Lectures

 

Real porous media: local geometry and transports                                                                                              3

P.M. Adler, J-F Thovert, S. Békri & F. Yousefian                   

 

We all are porous media                                                                                                                                   17

J.M. Huyghe, R. van Loon, F.T.P. Baaijens, P.M. van Kemenade & T.H. Smit

 

Transport in porous solids: thermal conductivity of nanoporous solids and porous crystals                                   29

M. Kaviany

 

Seismic propagating and diffusion waves to probe porous rocks under stress                                                     39

S.A. Shapiro, E. Rothert & A. Kaselow

 

Biomechanics

 

Parameter identification for cement infiltration of osteoporotic bone                                                                    55

G. Baroud, T. Steffen, J. Wu & S. Sponagel

 

Cartilage: modelling its electromechanical behaviour and swelling                                                                        59

A. Gałka, J.J. Telega & R. Wojnar

 

Propagation of ultrasonic waves in cancellous bone. Micro and macrocontinual approach                                   65

M. Pakula & J. Kubik

 

Electric analogy for Biot’s acousto-poroelasticity: application to equations of longitudinal

poroelasto-electric waves in long bones                                                                                                             71

R.A. Uklejewski

 

Constitutive Modelling and Continuum Mechanics

 

Generalized Lamé solutions in poromechanics                                                                                                    79

Y. Abousleiman & M. Kanj

 

Tools in poromechanics with laboratory and field validations                                                                              85

Y. Abousleiman, M. Kanj & S. Ekbote

 

Permeability of non-inertial porous matrices or under magnetic field                                                                    93

J.-L. Auriault, C. Geindreau & P. Royer

 

Micromechanical approach to the modelling of compaction at large strain                                                           99

J.F. Barthélémy & L. Dormieux

 

Finite element simulation of consolidation at large strain                                                                                      107

D. Bernaud, V. Derudé, L. Dormieux & S. Maghous

 

Poroelastic and poroplastic modelling of a deep spherical gallery submitted to ventilation                                    113

A. Blaisonneau, A. Giraud, F. Homand, D. Hoxha & T. Lassabatere

 

Fluctuation of the interstitial pressure in a saturated porous medium subjected to

a cyclic thermal loading                                                                                                                                     121

E. Blond, N. Schmitt & F. Hild

 

Eulerian two-fluid modeling applied to one-dimensional bubbly flows in packed beds                                         127

M.L. Bordas, A. Cartellier & P. Séchet

 

The effect of reinforcement on properties of porous materials                                                                             135

J. Brawns & K. Rocens

 

Modeling by homogenization of the saturated porous medium consolidation under

large transformations                                                                                                                                         141

D. Caillerie

 

Modeling of a nuclear waste disposal: Numerical and practical aspects                                                               145

C. Chavant, S. Granet & D. Le Boulch

 

A model of sintering by homogenization and penalization                                                                                    151

P. Clementz & J.N. Pernin

 

An integrated approach to predict poroelastic properties of argillaceous rocks                                                   157

Ph. Cosenza, M. Ghoreychi, G. de Marsily, G. Vasseur & S. Violette

 

A review of Biot’s elastic coefficients                                                                                                                165

A.I.M. Denneman

 

Stability of a borehole drilled in a chemically active shale                                                                                    171

E. Detournay, L. Dormieux, E. Lemarchand, S. Roatesi & D. Fourmaintraux

 

Macroscopic poroelastic behavior of a jointed rock                                                                                           179

L. Dormieux, S. Maghous, D. Kondo & J.F. Shao

 

Large strain viscoelastic swelling of charged hydrated porous media                                                                   185

W. Ehlers, B. Markert & A. Acarturk

 

Poroelastic coupling in layered porous media                                                                                                     193

M. Ferronato, G. Gambolati & P. Teatini

 

Stochastic computational modeling of heterogeneous poroelastic media                                                              199

D. Frias, M.A. Murad & F. Pereira

 

Finite punch on a consolidating strip                                                                                                                  205

V.B. Glagovsky & B.M. Nuller

 

Poromechanical behavior of ferriferous rocks                                                                                                    211

D. Grgic, D. Hoxha & F. Homand

 

Hydro-mechanical behavior of fractures: 2D, F.E.M. modeling                                                                          217

C. Guiducci, A. Pellegrino, J.P. Radu, F. Collin & R. Charlier

 

Hydro mechanical behavior of a heterogeneous swelling clay material                                                                 225

C. Imbert & C. Gatabin, P. Maugis, D. Leboulch & E. Mouche

 

Anisotropic poromechanics solutions for the hollow-cylinder                                                                              231

M.Y. Kanj, Y. Abousleiman & R. Ghanem

 

A framework for the modeling of press forming of fiber composites using two phase

porous media theory                                                                                                                                         237

R. Larsson & S. Toll

 

Identification of poroelastic constants of deep argillaceous rocks. II: inverse analysis                                           245

B. Lecampion & A. Contantinescu

 

Artificial neural network as a numerical representation of an incremental constitutive law                                     251

M. Lefik

 

Aging-filling models of ASR expansion in concrete as a reactive porous material                                                 259

K. Li & O. Coussy

 

Constitutive equations for visco-plastic fluid flow in anisotropic porous media                                                     265

V.M. Maksimov & N. M. Dmitriev

 

Identification of poroelastic constants of deep argillaceous rocks. I: Experimental setup and

qualitative analysis                                                                                                                                             269

L. Malinsky, S. Chanchole, F. Coste

 

Experimental determination of poroelastic parameters of a clayey rock                                                               275

O. Ozanam, N. Hoteit, E. Bemer & J.-F. Heitz

 

The influence of solute advection on coupled chemical and mechanical consolidation                                           281

G.P. Peters & D.W. Smith

 

On first-order gradient theories of constrained solid-fluid mixtures                                                                      287

S. Quiligotti, G.A. Maugin & F. dell’Isola

 

Pore pressure and thermo-hydro-mechanical behavior of concrete submitted to high temperatures:

structural experiments and material properties                                                                                                    293

G. Ranc, J. Sercombe & C. Imbert

 

Simplified constitutive modelling of the behaviour of unsaturated soil                                                                   299

A. Rifa’I, L. Vulliet A L. Laloui

 

Eshelby transformations, pore pressure and fluid mass changes, and subsidence                                                 307

J.W. Rudnicki

 

A continuum theory of porous media and its variational structure                                                                        313

C. Wei & K.K. Muraleetharan

 

Transport Phenomena

 

Numerical simulation of multiphase flows in heterogeneous porous media                                                           321

B. Amaziane

 

Impact of a thermal radioactive waste on the thermal-hydraulic behaviour of clay engineered

barrier system                                                                                                                                                   327

N. Barnel, C. Le Potier, P. Maugis, E. Mouche & T. Lassabatère

 

Origin of pore water pressure gradient in electro-osmosed saturated kaolinite:

experimental and theoretical study                                                                                                                     333

K. Beddiar, T. Fen-Chong & Y. Berthaud

 

One- and two-phase nonsteady flows of viscous fluids through porous deformable media                                   339

W.R. Bielski, J.J. Telega & R. Wojnar

 

Mathematical modelling of phase change in porous media in presence of advection:                   

upscaling technique                                                                                                                                           345

J.-F. Bloch, P. Royer & J.-L. Auriault

 

Two-phase dispersion in porous media                                                                                                              353

M. Buès, I. Panfilova & M. Panfilov

 

Constitutive modeling of chalk – application to waterflooding                                                                             359

R. Charlier, F. Collin, C. Schroeder, P. Illing, P. Delage, Y.J. Cui & V. De Gennaro

 

Gas flow with low gas pressure in porous media: quasi-statics and acoustics                                                       367

J. Chastanet, P. Royer & J.L. Auriault

 

An upscaling approach to the drying of deformable porous media                                                                      373

X. Chateau, L. Dormieux & Y. Xu

 

Solutions of pumping embedded in anisotropic poroelastic soil layer                                                                   379

G.J. Chen

 

Variational formulation of fluid infiltrated porous materials and physically-based

micromechanical material constants                                                                                                                   385

A.H.-D. Cheng & S.L. Lopatnikov

 

On a compressible miscible displacement in naturally fractured reservoirs                                                           391

C. Choquet

 

Modelling of deformable municipal solid waste landfills                                                                                      397

M.Y. Corapcioglu, E. Durmusoglu & K. Tuncay

 

Numerical simulation of three-phase flow in deforming three-dimensional

fractured reservoirs                                                                                                                                           403

 

Coupled salt and moisture transport in partially saturated porous media                                                              407

J.-F. Daïan

 

Experimental and numerical analysis of transport in a containment vessel                                                             413

W. Dridi, B. Sudret & T. Lassabatere

 

On partially saturated soil as a triphasic material                                                                                                 419

W. Ehlers & T. Graf

 

Electro-osmosis: testing and analysis                                                                                                                  425

B. Ewers & D.W. Smith

 

3D Macro-Scale analytical filtration law for power-law fluids flowing in heterogeneous

porous media                                                                                                                                                    431

A. Fadili, P.M.J. Tardy & J.R. Anthony Pearson

 

Modelling of desaturation experiments on Tournemire argillite samples                                                               437

A. Genty, S. Bassot, G. Bruno & J. Cabrera & C. Le Potier

 

N2 and CO2 gas breakthrough experiments on fine-grained sediments                                                                445

A. Hildenbrand, B.M. Krooss & S. Schlömer

 

Morphology and permeability assessment of heterogeneous soils                                                                        453

I. Ibraim, C. Boutin & L. Arnaud

 

Temperature influence on the yield surface for unsaturated soils                                                                          461

F. Jamin, M.S. El Youssoufi & C. Saix

 

Upscaling and thermodynamics of chemically sensitive porous materials                                                              467

M. Kaczmarek

 

Macroscopic modelling of solute transport in porous media saturated by two immiscible liquids                          473

B.Kh. Khuzhayorov, J.-L. Auriault & P. Royer

 

Fluid flow in vugular porous media                                                                                                                    481

D. Lasseux, F. Pairoys, & H. Bertin

 

Electro-chemo-mechanical couplings in swelling clays derived by homogenization:

electroviscous effects and Onsager’s relations                                                                                                    489

T. Lemaire, C. Moyne, D. Stemmelen & M.A. Murad

 

Homogenized model of two-phase flow with various types of interfaces in porous media                                    495

Y. Lucas, I. Panfilova, M. Buès & M. Panfilov

 

Analysis of geomechanical effects during fractured reservoir production using a stress dependent

reservoir simulator                                                                                                                                            501

M. Mainguy & P. Longuemare

 

An application of the dual-porosity porothermoelastic approach in naturally fractured porous       

media                                                                                                                                                               509

R. Nair, Y. Abousleiman & M.M. Zaman

 

Instabilities during dispersion flow through porous media: pore-size effect                                                           515

M. Niespodzinska, J.-P. Gaudet, P. Royer & J.-L. Auriault

 

High-rate Navier-Stokes flow in porous media: D’Alembert paradox and its solution                                          521

I. Panfilova, M. Buès & M. Panfilov

 

Numerical modelling of flow and transport phenomena in fractured crystalline rock                                             527

A. Pudewills, W. Hauser, H. Geckeis

 

Saturated porous medium strain under osmotic actions                                                                                       533

V. Richefeu, M.S. El Youssoufi & J.C. Bénet

 

Flow distribution in non-homogeneous anisotropic packed beds                                                                         539

I.V. Shirko & V.O. Parfus

 

Flow optimization in non-homogeneous anisotropic granular medium                                                                  547

I.V. Shirko & S.V. Sobakin

 

A partially saturated flow model for a composite poroelastic medium                                                                 549

R.E. Showalter & N. Su

 

Invasion percolation in a gradient: incorporation of a compressible nonwetting fluid                                             555

T.E. Strand & H.F. Wang

 

Numerical modeling of sharp-front water propagation in heterogeneous soils by the method

of lines                                                                                                                                                              563

A. Szymkiewicz & J. Lewandowska

 

Nonstationary flow of Stokesian fluid through random porous medium with elastic skeleton                                569

J.J. Telega & W.R. Bielski

 

Static and dynamic permeability assessment of granular and fibrous porous media                                              575

M. Thiery & C. Boutin

 

Permeability changes as a function of pore pressure in sandstones: laboratory experiments

under uniaxial strain boundary conditions                                                                                                           583

U. Trautwein

 

Fractal analysis of the pore structure in the shear zone of granular materials                                                        587

L.E. Vallejo

 

Scale dependence of hydraulic and structural parameters in fractured rock                                                         593

G. Zimmermann, H. Burkhardt & L. Engelhar

 

Wave Propagation and Dynamics

 

Seismic waves in randomly heterogeneous media: multiple scattering dispersion and attenuation                          599

R. Ababou, J.O. Parra, C.L. Hackert, M.J. Sablik & B.J. Zook

 

Reflection and transmission of plan waves by anisotropic line-scatterers                                                             607

Y.C. Angel, C. Aristégui & J.-Y. Chapelon

 

Dispersion of extensional and torsional waves in porous cylinders with patchy saturation                                     613

J.G. Berryman & S.R. Pride

 

Finite-amplitude wave propagation in fluid filling rigid porous materials                                                               619

M. Cieszko & J. Kubik

 

On measurement of mechanical properties of sound absorbing materials                                                             627

N. Dauchez, M. Etchessahar & S. Sahraoui

 

P-waves in realistic formations: gas bubbles effect                                                                                              633

S. Dunin, D. Mikhailov & V. Nikolaevskiy

 

Field applications of pressure pulsing in porous media                                                                                        639

M.B. Dusseault, D. Shand, T. Meling, T. Spanos & B.C. Davidson

 

Detection of hazardous, fluid-filled, unconsolidated, porous sediments in the deepwater

tertiary clastics basins: a seismic approach                                                                                                         647

N.C. Dutta

 

Direct and inverse scattering problems in porous elastic media: a time domain analysis

with fractional derivatives                                                                                                                                  651

Z.E.A. Fellah, W. Lauriks, S. Berger & C. Depollier

 

Numerical implementation of homogenized acoustic properties of periodic porous media                                    657

S. Gasser, F. Paun & Y. Bréchet

 

Attenuation in porous rocks: insights from analysis for a system of solid and viscous                                            663

fluid layers

B. Gurevich

 

A calculus for memory effects in dynamics of porous media                                                                               671

A. Hanyga

 

Ultrasonic wave propagation in water-saturated honeycomb ceramics                                                                677

A. Hosokawa

 

Z-dependent radiation impedances for an infinite cylinder modally vibrating in a fluid-filled

borehole within a permeable formation                                                                                                              683

H. Hosseini & S.M. Hasheminejad

 

Wave propagation in ferrofluids. Soft porous media model and experimental results                                            691

M. Kaczmarek, T. Hornowski, A. Skumiel & M. Labowski

 

Sound propagation in ducts lined with porous materials                                                                                      697

D. Lafarge & V. Gareton

 

Determination of the dynamic bulk modulus of gases saturating porous media by Brownian

motion simulation                                                                                                                                              703

D. Lafarge

 

Numerical model for dynamic behavior of reservoir bottom sediments                                                                709

O. Maeso, J. Aznárez & J. Domínguez

 

On the structure of complicated shape solitary waves in a liquid with gas bubbles due to two

different bubbles’ sizes                                                                                                                                      715

V.E. Nakoryakov, V.E. Dontsov & V.G. Gasenko

 

Compressional wave propagation characteristics through a water saturated gradient-dependent                          723

viscoelastic porous material

F. Oka & B. Boutillier

 

An indirect acoustical method for determining intrinsic parameters of porous materials                                        731

X. Olny, R. Panneton & J. Tran-Van

 

Dynamic fluid pressure in vuggy carbonate rock                                                                                                 739

J.O. Parra & C.L. Hackert

 

Effects of frequency and fluid distribution on elastic waves in partially saturated rocks:

Poroelastic numerical experiments                                                                                                                     745

N.H. Pham, J.M. Carcione & H.B. Helle

 

Optimum approximation of convolution of arbitrary grid function with the power kernel                                      753

B.D. Plyushchenkov & V.I. Turchaninov

 

Constructions principles of the efficient finite difference scheme for the refined Biot’s equations                           757

B.D. Plyushchenkov & V.I. Turchaninov

 

Theoretical and experimental study of acoustic streaming in porous media                                                          763

P. Poesio, G. Ooms, A. Schraven & F. van der Bas

 

Influence of the ball filling on the dynamic phenomena under pulse heat power in the annular

channel subcooled water under saturation temperature                                                                                       769

B.G. Pokusaev, V.F. Polyakov, D.A. Kazenin, S.A. Chizhikov & E.A. Tairov

 

Attenuation of P-waves by wave-induced fluid flow                                                                                           775

S.R. Pride & J.G. Berryman

 

Complete poroelastic characterization of arbitrarily anisotropic rocks using wave

propagation – Laboratory experiments versus theoretical predictions                                                                  783

P.N.J. Rasolofosaon & B.E. Zinszner

 

Transmission of wave to the soil layer                                                                                                                789

B. Sbartai

 

Determination of the stress-induced dynamic moduli of a porous medium subjected to various

deformational pathways                                                                                                                                    795

T.E. Scott, Jr. & Y. Abousleiman

 

An experimental method for measuring anisotropic poroelastic Biot’s effective stress parameters

from acoustic wave propagation                                                                                                                        801

T.E. Scott, Jr. & Y. Abousleiman

 

Influence of pore roughness on high-frequency permeability                                                                               807

D. Smeulders, A. Cortis, J-L. Guermond & D. Lafarge

 

Numerical analysis of wave propagation in saturated non-linear porous media                                                    813

C.Y. Song, T.S. Butalia & B.A. Dreger

 

Completing Biot theory                                                                                                                                     819

T.J.T. (Tim) Spanos, N. Udey & M.B. Dusseault

 

An effective medium theory for a cracked porous media                                                                                    827

S.R. Tod, J.A. Hudson & E. Liu

 

Dynamic contact problems for poroelastic liquid-saturated half-space                                                                833

O.M. Trofymchuk, O.M. Gomilko & O.A. Savitsky

 

Elastic wave propagation in anistropic porous layered media                                                                              839

A.K. Vashishth & P. Khurana

 

Pressure waves in capillaries containing liquid plugs: numerical simulation                                                            845

E.S. Vasserman

 

Constitutive theory for velocity dispersion in rock with dual porosity                                                                   851

H.F. Wang & J.G. Berryman

 

Elastic wave scattering analysis of cavities in poroelastic media using three-dimensional

boundary element formulation                                                                                                                            857

K. Yamamoto & M. Kitahara

 

Imaging permeability structure within highly permeable earth                                                                               865

T. Yamamoto

 

Damage, Fracture and Micro-Cracks

 

Poroplastic modelling including damage for deep argillaceous rocks                                                                   873

N. Aublivé-Conil, I. Djeran-Maigre, R. Cabrillac & K. Su

 

Effective stress influence on elastic constants of fluid filled porous media                                                             879

E.M. Chesnokov, D.W. Bell, J.H. Queen, Y.A. Kukharenko & A.N. Chourayev

 

Mechanical behavior and rupture of a porous media based on a cohesive granular

media approach                                                                                                                                                883

J.-Y. Delenne, M.S. El Youssoufi, F. Cherblanc & J.C. Bénet

 

Lower and upper approaches of the yield criterion for porous materials                                                              891

P. Francescato, J. Pastor, E. Loute & B. Riveill-Reydet

 

The tip region of a hydraulic fracture a propagating in a permeable rock                                                             899

D.I. Garagash & E. Detournay

 

A micromechanical analysis of anisotropic damage in poroelastic brittle materials                                                905

D. Kondo, V. Pensée, L. Dormieux & V. Deudé

 

Damage development in rock subjected to cyclic loading                                                                                   911

A.V. Lavrov, A. Vervoort & J.A.L. Napier

 

Development of a new concrete damage model “MODEV” in SYMPHONIE F.E. code:

Application to metallic anchor bolts                                                                                                                   917

G. Mounajed, H. Ung Quoc & H. Boussa

 

Healing of fluid-filled microcracks                                                                                                                      925

F. Renard, D. Dysthe, J. Feder, & B. Jamtveit

 

Pressure decay in a fluid inclusion located in a damage-sensitive poroelastic solid                                               933

A.P.S. Selvadurai & A. Shirazi

 

Micromechanics based macroscopic damage modeling of saturated rocks                                                          941

J.F. Shao, Y.F. Lu & W.Y. Xu

 

Comprehensive modeling of fault dynamics during the seismic cycle                                                                    947

K. Tuncay, F. Renard & P. Ortoleva

 

Author Index                                                                                                                                                  953