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Published in: Rock Mechanics and Rock Engineering 2/2015

01-03-2015 | Original Paper

Using Local Second Gradient Model and Shear Strain Localisation to Model the Excavation Damaged Zone in Unsaturated Claystone

Authors: Benoît Pardoen, Séverine Levasseur, Frédéric Collin

Published in: Rock Mechanics and Rock Engineering | Issue 2/2015

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Abstract

The drilling of galleries induces damage propagation in the surrounding medium and creates, around them, the excavation damaged zone (EDZ). The prediction of the extension and fracture structure of this zone remains a major issue, especially in the context of underground nuclear waste storage. Experimental studies on geomaterials indicate that localised deformation in shear band mode usually appears prior to fractures. Thus, the excavation damaged zone can be modelled by considering the development of shear strain localisation bands. In the classical finite element framework, strain localisation suffers a mesh-dependency problem. Therefore, an enhanced model with a regularisation method is required to correctly model the strain localisation behaviour. Among the existing methods, we choose the coupled local second gradient model. We extend it to unsaturated conditions and we include the solid grain compressibility. Furthermore, air ventilation inside underground galleries engenders a rock–atmosphere interaction that could influence the damaged zone. This interaction has to be investigated in order to predict the damaged zone behaviour. Finally, a hydro-mechanical modelling of a gallery excavation in claystone is presented and leads to a fairly good representation of the EDZ. The main objectives of this study are to model the fractures by considering shear strain localisation bands, and to investigate if an isotropic model accurately reproduces the in situ measurements. The numerical results provide information about the damaged zone extension, structure and behaviour that are in very good agreement with in situ measurements and observations. For instance, the strain localisation bands that develop in chevron pattern during the excavation and rock desaturation, due to air ventilation, are observed close to the gallery.

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Literature
go back to reference Aifantis EC (1984) On the microstructural origin of certain inelastic models. J Eng Mater Technol 106(4):326–330CrossRef Aifantis EC (1984) On the microstructural origin of certain inelastic models. J Eng Mater Technol 106(4):326–330CrossRef
go back to reference Alshibli K, Batiste S, Sture S (2003) Strain localization in sand: plane strain versus triaxial compression. J Geotech Geoenviron Eng 129(6):483–494CrossRef Alshibli K, Batiste S, Sture S (2003) Strain localization in sand: plane strain versus triaxial compression. J Geotech Geoenviron Eng 129(6):483–494CrossRef
go back to reference Andra (2005) Dossier 2005 Argile. Synthesis: evaluation of the feasibility of a geological repository in an argillaceous formation, Meuse/Haute Marne site. Tech rep, Paris, France Andra (2005) Dossier 2005 Argile. Synthesis: evaluation of the feasibility of a geological repository in an argillaceous formation, Meuse/Haute Marne site. Tech rep, Paris, France
go back to reference Armand G, Wileveau Y, Delay J (2007) Analyse des perméabilités mesurées autour des ouvrages du LSMHM au niveau −490 m pour déterminer des lois empiriques utilisables dans des calculs hydromécaniques couplés en milieu continu. Tech. Rep. D.NT.ALS.07.0453, Andra Armand G, Wileveau Y, Delay J (2007) Analyse des perméabilités mesurées autour des ouvrages du LSMHM au niveau −490 m pour déterminer des lois empiriques utilisables dans des calculs hydromécaniques couplés en milieu continu. Tech. Rep. D.NT.ALS.07.0453, Andra
go back to reference Armand G, Leveau F, Nussbaum C, de La Vaissiere R, Noiret A, Jaeggi D, Landrein P, Righini C (2014) Geometry and properties of the excavation-induced fractures at the Meuse/Haute-Marne URL drifts. Rock Mech Rock Eng 47(1):21–41CrossRef Armand G, Leveau F, Nussbaum C, de La Vaissiere R, Noiret A, Jaeggi D, Landrein P, Righini C (2014) Geometry and properties of the excavation-induced fractures at the Meuse/Haute-Marne URL drifts. Rock Mech Rock Eng 47(1):21–41CrossRef
go back to reference Barnichon JD (1998) Finite element modelling in structural and petroleum geology. Ph.D. thesis, Faculté des Sciences Appliquées, Université de Liège, Belgium Barnichon JD (1998) Finite element modelling in structural and petroleum geology. Ph.D. thesis, Faculté des Sciences Appliquées, Université de Liège, Belgium
go back to reference Bazant ZP, Belytschko TB, Chang TP (1984) Continuum theory for strain softening. J Eng Mech 110(12):1666–1692CrossRef Bazant ZP, Belytschko TB, Chang TP (1984) Continuum theory for strain softening. J Eng Mech 110(12):1666–1692CrossRef
go back to reference Bäckblom G (1991) The Äspö hard rock laboratory—a step toward the Swedish final repository for high-level radioactive waste. Tunn Undergr Sp Tech 6(4):463–467CrossRef Bäckblom G (1991) The Äspö hard rock laboratory—a step toward the Swedish final repository for high-level radioactive waste. Tunn Undergr Sp Tech 6(4):463–467CrossRef
go back to reference Behlau J, Mingerzahn G (2001) Geological and tectonic investigations in the former Morsleben salt mine (Germany) as a basis for the safety assessment of a radioactive waste repository. Eng Geol 61(2–3):83–97CrossRef Behlau J, Mingerzahn G (2001) Geological and tectonic investigations in the former Morsleben salt mine (Germany) as a basis for the safety assessment of a radioactive waste repository. Eng Geol 61(2–3):83–97CrossRef
go back to reference Blümling P, Bernier F, Lebon P, Martin CD (2007) The excavation damaged zone in clay formations time-dependent behaviour and influence on performance assessment. Phys Chem Earth 32(8–14):588–599CrossRef Blümling P, Bernier F, Lebon P, Martin CD (2007) The excavation damaged zone in clay formations time-dependent behaviour and influence on performance assessment. Phys Chem Earth 32(8–14):588–599CrossRef
go back to reference Bordeau F, Dedeckerv C, Billaux D (2007) Discrete modelling of drift behaviour in the meuse/haute-marne url (france). In: Clays in natural and engineered barriers for radioactive waste confinement, International Meeting, Lille, France Bordeau F, Dedeckerv C, Billaux D (2007) Discrete modelling of drift behaviour in the meuse/haute-marne url (france). In: Clays in natural and engineered barriers for radioactive waste confinement, International Meeting, Lille, France
go back to reference de Borst R, Mühlhaus HB (1992) Gradient-dependent plasticity: formulation and algorithm aspects. Int J Numer Meth Eng 35(3):521–539CrossRef de Borst R, Mühlhaus HB (1992) Gradient-dependent plasticity: formulation and algorithm aspects. Int J Numer Meth Eng 35(3):521–539CrossRef
go back to reference Bossart P, Meier PM, Moeri A, Trick T, Mayor JC (2002) Geological and hydraulic characterisation of the excavation disturbed zone in the Opalinus Clay of the Mont Terri Rock Laboratory. Eng Geol 66(1–2):19–38CrossRef Bossart P, Meier PM, Moeri A, Trick T, Mayor JC (2002) Geological and hydraulic characterisation of the excavation disturbed zone in the Opalinus Clay of the Mont Terri Rock Laboratory. Eng Geol 66(1–2):19–38CrossRef
go back to reference Bésuelle P, Chambon R, Collin F (2006) Switching deformation modes in post-localization solutions with a quasibrittle material. J Mech Mater Struct 1(7):1115–1134 Bésuelle P, Chambon R, Collin F (2006) Switching deformation modes in post-localization solutions with a quasibrittle material. J Mech Mater Struct 1(7):1115–1134
go back to reference Chambon R, Moullet JC (2004) Uniqueness studies in boundary value problems involving some second gradient models. Comput Methods Appl Mech Eng 193(27–29):2771–2796CrossRef Chambon R, Moullet JC (2004) Uniqueness studies in boundary value problems involving some second gradient models. Comput Methods Appl Mech Eng 193(27–29):2771–2796CrossRef
go back to reference Chambon R, Caillerie D, Hassan NE (1998) One-dimensional localisation studied with a second grade model. Eur J Mech A Solid 17(4):637–656CrossRef Chambon R, Caillerie D, Hassan NE (1998) One-dimensional localisation studied with a second grade model. Eur J Mech A Solid 17(4):637–656CrossRef
go back to reference Chambon R, Caillerie D, Matsushima T (2001) Plastic continuum with microstructure, local second gradient theories for geomaterials: localization studies. Int J Solids Struct 38(46–47):8503–8527CrossRef Chambon R, Caillerie D, Matsushima T (2001) Plastic continuum with microstructure, local second gradient theories for geomaterials: localization studies. Int J Solids Struct 38(46–47):8503–8527CrossRef
go back to reference Charlier R (1987) Approche unifiée de quelques problémes non linéaires de mécanique des milieux continus par la méthode des éléments finis (grandes déformations des métaux et des sols, contact unilatéral de solides, conduction thermique et écoulements en milieu poreux). Ph.D. thesis, Faculté des Sciences Appliquées, Université de Liège, Belgium Charlier R (1987) Approche unifiée de quelques problémes non linéaires de mécanique des milieux continus par la méthode des éléments finis (grandes déformations des métaux et des sols, contact unilatéral de solides, conduction thermique et écoulements en milieu poreux). Ph.D. thesis, Faculté des Sciences Appliquées, Université de Liège, Belgium
go back to reference Charlier R, Collin F, Pardoen B, Talandier J, Radu JP, Gerard P (2013) An unsaturated hydro-mechanical modelling of two in-situ experiments in Callovo–Oxfordian argillite. Eng Geol 165:46–63CrossRef Charlier R, Collin F, Pardoen B, Talandier J, Radu JP, Gerard P (2013) An unsaturated hydro-mechanical modelling of two in-situ experiments in Callovo–Oxfordian argillite. Eng Geol 165:46–63CrossRef
go back to reference Chen L (2009) Contribution à la modélisation du comportement hydromécanique des géomatériaux semi-fragiles. Ph.D. thesis, Université des Sciences et Technologies de Lille, Lille Chen L (2009) Contribution à la modélisation du comportement hydromécanique des géomatériaux semi-fragiles. Ph.D. thesis, Université des Sciences et Technologies de Lille, Lille
go back to reference Chen L, Shao JF, Huang HW (2010) Coupled elastoplastic damage modeling of anisotropic rocks. Comput Geotech 37(1–2):187–194CrossRef Chen L, Shao JF, Huang HW (2010) Coupled elastoplastic damage modeling of anisotropic rocks. Comput Geotech 37(1–2):187–194CrossRef
go back to reference Collin F (2003) Couplages thermo-hydro-mècaniques dans les sols et les roches tendres partiellement saturès. Ph.D. thesis, Facultè des Sciences Appliquèes, Universitè de Liège, Belgium Collin F (2003) Couplages thermo-hydro-mècaniques dans les sols et les roches tendres partiellement saturès. Ph.D. thesis, Facultè des Sciences Appliquèes, Universitè de Liège, Belgium
go back to reference Collin F, Chambon R, Charlier R (2006) A finite element method for poro mechanical modelling of geotechnical problems using local second gradient models. Int J Numer Meth Eng 65(11):1749–1772CrossRef Collin F, Chambon R, Charlier R (2006) A finite element method for poro mechanical modelling of geotechnical problems using local second gradient models. Int J Numer Meth Eng 65(11):1749–1772CrossRef
go back to reference Collin F, Levasseur S, Chambon R (2009) Numerical post failure methods in multiphysical problems. Eur J Environ Civ Eng 13(7–8):983–1004CrossRef Collin F, Levasseur S, Chambon R (2009) Numerical post failure methods in multiphysical problems. Eur J Environ Civ Eng 13(7–8):983–1004CrossRef
go back to reference Cosserat E, Cosserat F (1909) Théorie des Corps Déformables. Hermann, Paris Cosserat E, Cosserat F (1909) Théorie des Corps Déformables. Hermann, Paris
go back to reference Coussy O (2004) Poromechanics. John Wiley, New York Coussy O (2004) Poromechanics. John Wiley, New York
go back to reference Croisé J, Schlickenrieder L, Marschall P, Boisson JY, Vogel P, Yamamoto S (2004) Hydrogeological investigations in a low permeability claystone formation: the Mont Terri Rock Laboratory. Phys Chem Earth 29(1):3–15CrossRef Croisé J, Schlickenrieder L, Marschall P, Boisson JY, Vogel P, Yamamoto S (2004) Hydrogeological investigations in a low permeability claystone formation: the Mont Terri Rock Laboratory. Phys Chem Earth 29(1):3–15CrossRef
go back to reference Cruchaudet M, Noiret A, Talandier J, Armand G (2010a) Expérimentation SDZ—Bilan de la mise en place de l’instrumentation et des premières mesures à fin mars 2010—Centre de Meuse/Haute-Marne. Tech. Rep. D.RP.AMFS.09.0087, Andra Cruchaudet M, Noiret A, Talandier J, Armand G (2010a) Expérimentation SDZ—Bilan de la mise en place de l’instrumentation et des premières mesures à fin mars 2010—Centre de Meuse/Haute-Marne. Tech. Rep. D.RP.AMFS.09.0087, Andra
go back to reference Cruchaudet M, Noiret A, Talandier J, Gatmiri B, Armand G (2010b) OHZ en GED: EDZ initiale et évolution. Tech. Rep. D.RP.AMFS.11.0016, Andra Cruchaudet M, Noiret A, Talandier J, Gatmiri B, Armand G (2010b) OHZ en GED: EDZ initiale et évolution. Tech. Rep. D.RP.AMFS.11.0016, Andra
go back to reference Delage P, Howat MD, Cui YJ (1998) The relationship between suction and swelling properties in a heavily compacted unsaturated clay. Eng Geol 50(1–2):31–48CrossRef Delage P, Howat MD, Cui YJ (1998) The relationship between suction and swelling properties in a heavily compacted unsaturated clay. Eng Geol 50(1–2):31–48CrossRef
go back to reference Delay J, Vinsot A, Krieguer JM, Rebours H, Armand G (2007) Making of the underground scientific experimental programme at the Meuse/Haute-Marne underground research laboratory, North Eastern France. Phys Chem Earth 32(1–7):2–18CrossRef Delay J, Vinsot A, Krieguer JM, Rebours H, Armand G (2007) Making of the underground scientific experimental programme at the Meuse/Haute-Marne underground research laboratory, North Eastern France. Phys Chem Earth 32(1–7):2–18CrossRef
go back to reference Desrues J (2005) Hydro-mechanical coupling and strain localization in saturated porous media. Rev Eur Gènie Civ 9(5–6):619–634 Desrues J (2005) Hydro-mechanical coupling and strain localization in saturated porous media. Rev Eur Gènie Civ 9(5–6):619–634
go back to reference Desrues J, Viggiani G (2004) Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry. Int J Numer Anal Met 28(4):279–321CrossRef Desrues J, Viggiani G (2004) Strain localization in sand: an overview of the experimental results obtained in Grenoble using stereophotogrammetry. Int J Numer Anal Met 28(4):279–321CrossRef
go back to reference Detournay E, Cheng AHD (1993) Comprehensive rock engineering: principles, practice and projects, vol 2 analysis and design method. Chapter 5: Fundamentals of poroelasticity. Pergamon Press, Oxford, pp 113–171 Detournay E, Cheng AHD (1993) Comprehensive rock engineering: principles, practice and projects, vol 2 analysis and design method. Chapter 5: Fundamentals of poroelasticity. Pergamon Press, Oxford, pp 113–171
go back to reference Diederichs MS (2003) Rock fracture and collapse under low confinement conditions. Rock Mech Rock Eng 36(5):339–381CrossRef Diederichs MS (2003) Rock fracture and collapse under low confinement conditions. Rock Mech Rock Eng 36(5):339–381CrossRef
go back to reference Emsley S, Olsson O, Stenberg L, Alheid HJ, Falls S (1997) ZEDEX: a study of damage and disturbance from tunnel excavation by blasting and tunnel boring. Svensk Kärnbränslehantering AB/Swedish Nuclear Fuel and Waste Management Co. Emsley S, Olsson O, Stenberg L, Alheid HJ, Falls S (1997) ZEDEX: a study of damage and disturbance from tunnel excavation by blasting and tunnel boring. Svensk Kärnbränslehantering AB/Swedish Nuclear Fuel and Waste Management Co.
go back to reference Finno R, Harris W, Mooney M, Viggiani G (1996) Strain localization and undrained steady state of sands. J Geotech Eng ASCE 122(6):462–473CrossRef Finno R, Harris W, Mooney M, Viggiani G (1996) Strain localization and undrained steady state of sands. J Geotech Eng ASCE 122(6):462–473CrossRef
go back to reference Finno R, Harris W, Mooney M, Viggiani G (1997) Shear bands in plane strain compression of loose sand. Géotechnique 47(1):149–165CrossRef Finno R, Harris W, Mooney M, Viggiani G (1997) Shear bands in plane strain compression of loose sand. Géotechnique 47(1):149–165CrossRef
go back to reference Félix B, Lebon P, Miguez R, Plas F (1996) A review of the ANDRA’s research programmes on the thermo-hydromechanical behavior of clay in connection with the radioactive waste disposal project in deep geological formations. Eng Geol 41(1–4):35–50 Félix B, Lebon P, Miguez R, Plas F (1996) A review of the ANDRA’s research programmes on the thermo-hydromechanical behavior of clay in connection with the radioactive waste disposal project in deep geological formations. Eng Geol 41(1–4):35–50
go back to reference Gens A, Garcia-Molina AJ, Olivella S, Alonso EE, Huertas F (1998) Analysis of a full scale in situ test simulating repository conditions. Int J Numer Anal Met 22(7):515–548CrossRef Gens A, Garcia-Molina AJ, Olivella S, Alonso EE, Huertas F (1998) Analysis of a full scale in situ test simulating repository conditions. Int J Numer Anal Met 22(7):515–548CrossRef
go back to reference van Genuchten MT (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 44(5):892–898CrossRef van Genuchten MT (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 44(5):892–898CrossRef
go back to reference Gerard P, Léonard A, Masekanya JP, Charlier R, Collin F (2010) Study of the soil–atmosphere moisture exchanges through convective drying tests in non-isothermal conditions. Int J Numer Anal Meth Geomech 34(12):1297–1320 Gerard P, Léonard A, Masekanya JP, Charlier R, Collin F (2010) Study of the soil–atmosphere moisture exchanges through convective drying tests in non-isothermal conditions. Int J Numer Anal Meth Geomech 34(12):1297–1320
go back to reference Germain P (1973) The method of virtual power in continuum mechanics. Part 2 microstructure. SIAM J Appl Math 25(3):556–575CrossRef Germain P (1973) The method of virtual power in continuum mechanics. Part 2 microstructure. SIAM J Appl Math 25(3):556–575CrossRef
go back to reference Han C, Drescher A (1993) Shear bands in biaxial tests on dry coarse sand. Soils Found 33(1):118–132CrossRef Han C, Drescher A (1993) Shear bands in biaxial tests on dry coarse sand. Soils Found 33(1):118–132CrossRef
go back to reference Jenq YS, Shah SP (1988) Mixed-mode fracture of concrete. Int J Fract 38(2):123–142 Jenq YS, Shah SP (1988) Mixed-mode fracture of concrete. Int J Fract 38(2):123–142
go back to reference Kickmaier W, McKinley I (1997) A review of research carried out in European rock laboratories. Nucl Eng Des 176(1–2):75–81CrossRef Kickmaier W, McKinley I (1997) A review of research carried out in European rock laboratories. Nucl Eng Des 176(1–2):75–81CrossRef
go back to reference Kotronis P, Collin F, Bésuelle P, Chambon R, Mazars J (2007) Local second gradient models and damage mechanics: 1D post-localization studies in concrete specimens. In: Exadaktylos G, Vardoulakis I (eds) Bifurcation, instabilities and degradation in geomechanics. Springer, Berlin, Heidelberg, New York, pp 127–142 Kotronis P, Collin F, Bésuelle P, Chambon R, Mazars J (2007) Local second gradient models and damage mechanics: 1D post-localization studies in concrete specimens. In: Exadaktylos G, Vardoulakis I (eds) Bifurcation, instabilities and degradation in geomechanics. Springer, Berlin, Heidelberg, New York, pp 127–142
go back to reference Langer M (1999) Principles of geomechanical safety assessment for radioactive waste disposal in salt structures. Eng Geol 52(3–4):257–269CrossRef Langer M (1999) Principles of geomechanical safety assessment for radioactive waste disposal in salt structures. Eng Geol 52(3–4):257–269CrossRef
go back to reference Lenoir N, Bornert M, Desrues J, Bésuelle P, Viggiani G (2007) Volumetric digital image correlation applied to X-ray microtomography images from triaxial compression tests on argillaceous rock. Strain 43(3):193–205 Lenoir N, Bornert M, Desrues J, Bésuelle P, Viggiani G (2007) Volumetric digital image correlation applied to X-ray microtomography images from triaxial compression tests on argillaceous rock. Strain 43(3):193–205
go back to reference Levasseur S, Bésuelle P, Collin F, Chambon R, Charlier R, Viggiani C (2009) EDZ in clayey rocks: which effect on permeability? In: Li X, Jing L, Blaser P (eds) Impact of thermo-hydro-mechanical-chemical (THMC) processes on the safety of underground radioactive waste repositories. Proceedings of the European Commission TIMODAZ-THERESA International Conference. European Commission, Luxembourg, pp 173–183 Levasseur S, Bésuelle P, Collin F, Chambon R, Charlier R, Viggiani C (2009) EDZ in clayey rocks: which effect on permeability? In: Li X, Jing L, Blaser P (eds) Impact of thermo-hydro-mechanical-chemical (THMC) processes on the safety of underground radioactive waste repositories. Proceedings of the European Commission TIMODAZ-THERESA International Conference. European Commission, Luxembourg, pp 173–183
go back to reference Levasseur S, Charlier R, Frieg B, Collin F (2010) Hydro-mechanical modelling of the excavation damaged zone around an underground excavation at Mont Terri Rock Laboratory. Int J Rock Mech Min 47(3):414–425CrossRef Levasseur S, Charlier R, Frieg B, Collin F (2010) Hydro-mechanical modelling of the excavation damaged zone around an underground excavation at Mont Terri Rock Laboratory. Int J Rock Mech Min 47(3):414–425CrossRef
go back to reference Léonard A, Blacher S, Marchot P, Crine M (2002) Use of X-ray microtomography to follow the convective heat drying of wastewater sludges. Dry Technol 20(4–5):1053–1069 Léonard A, Blacher S, Marchot P, Crine M (2002) Use of X-ray microtomography to follow the convective heat drying of wastewater sludges. Dry Technol 20(4–5):1053–1069
go back to reference Léonard A, Blacher S, Marchot P, Pirard JP, Crine M (2003) Image analysis of X-ray microtomograms of soft materials during convective drying. J Microsc 212(Pt2):197–204 Léonard A, Blacher S, Marchot P, Pirard JP, Crine M (2003) Image analysis of X-ray microtomograms of soft materials during convective drying. J Microsc 212(Pt2):197–204
go back to reference Léonard A, Blacher S, Marchot P, Pirard J, Crine M (2005) Convective drying of wastewater sludges: influence of air temperature, superficial velocity and humidity on the kinetics. Dry Technol 23(8):1667–1679 Léonard A, Blacher S, Marchot P, Pirard J, Crine M (2005) Convective drying of wastewater sludges: influence of air temperature, superficial velocity and humidity on the kinetics. Dry Technol 23(8):1667–1679
go back to reference Matray JM, Savoye S, Cabrera J (2007) Desaturation and structure relationships around drifts excavated in the well-compacted Tournemire’s argillite (Aveyron, France). Eng Geol 90(1–2):1–16CrossRef Matray JM, Savoye S, Cabrera J (2007) Desaturation and structure relationships around drifts excavated in the well-compacted Tournemire’s argillite (Aveyron, France). Eng Geol 90(1–2):1–16CrossRef
go back to reference Mayor JC, Velasco M, García-Siñeriz JL (2007) Ventilation experiment in the Mont Terri underground laboratory. Phys Chem Earth 32(8–14):616–628 Mayor JC, Velasco M, García-Siñeriz JL (2007) Ventilation experiment in the Mont Terri underground laboratory. Phys Chem Earth 32(8–14):616–628
go back to reference Mindlin RD (1964) Micro-structure in linear elasticity. Arch Ration Mech An 16(1):51–78CrossRef Mindlin RD (1964) Micro-structure in linear elasticity. Arch Ration Mech An 16(1):51–78CrossRef
go back to reference Mindlin RD (1965) Second gradient of strain and surface-tension in linear elasticity. Int J Solids Struct 1:417–438CrossRef Mindlin RD (1965) Second gradient of strain and surface-tension in linear elasticity. Int J Solids Struct 1:417–438CrossRef
go back to reference Mokni M, Desrues J (1999) Strain localisation measurements in undrained plane-strain biaxial test on Hostun RF sand. Mech Cohes Frict Mat 4(4):419–441CrossRef Mokni M, Desrues J (1999) Strain localisation measurements in undrained plane-strain biaxial test on Hostun RF sand. Mech Cohes Frict Mat 4(4):419–441CrossRef
go back to reference Neerdael B, Boyazis JP (1997) The Belgium underground research facility: status on the demonstration issues for radioactive waste disposal in clay. Nucl Eng Des 176(1–2):89–96CrossRef Neerdael B, Boyazis JP (1997) The Belgium underground research facility: status on the demonstration issues for radioactive waste disposal in clay. Nucl Eng Des 176(1–2):89–96CrossRef
go back to reference Nuth M, Laloui L (2008) Effective stress concept in unsaturated soils: clarification and validation of a unified framework. Int J Numer Anal Met 32(7):771–801CrossRef Nuth M, Laloui L (2008) Effective stress concept in unsaturated soils: clarification and validation of a unified framework. Int J Numer Anal Met 32(7):771–801CrossRef
go back to reference Olivella S, Alonso EE (2008) Gas flow through clay barriers. Géotechnique 58(3):157–176 Olivella S, Alonso EE (2008) Gas flow through clay barriers. Géotechnique 58(3):157–176
go back to reference Peerlings RHJ, de Borst R, Brekelmans WAM, de Vree JHP (1996a) Gradient-enhanced damage for quasi-brittle materials. Int J Numer Meth Eng 39:3391–3403CrossRef Peerlings RHJ, de Borst R, Brekelmans WAM, de Vree JHP (1996a) Gradient-enhanced damage for quasi-brittle materials. Int J Numer Meth Eng 39:3391–3403CrossRef
go back to reference Peerlings RHJ, de Borst R, Brekelmans WAM, de Vree JHP, Spee I (1996b) Some observations on localisation in non-local and gradient damage models. Eur J Mech A/Solids 15(6):937–953 Peerlings RHJ, de Borst R, Brekelmans WAM, de Vree JHP, Spee I (1996b) Some observations on localisation in non-local and gradient damage models. Eur J Mech A/Solids 15(6):937–953
go back to reference Peron H, Hueckel T, Laloui L, Hu LB (2009a) Fundamentals of desiccation cracking of fine-grained soils: experimental characterisation and mechanisms identification. Can Geotech J 46(10):1177–1201CrossRef Peron H, Hueckel T, Laloui L, Hu LB (2009a) Fundamentals of desiccation cracking of fine-grained soils: experimental characterisation and mechanisms identification. Can Geotech J 46(10):1177–1201CrossRef
go back to reference Peron H, Laloui L, Hueckel T, Liang BH (2009b) Desiccation cracking of soils. Eur J Environ Civ Eng 13(7–8):869–888CrossRef Peron H, Laloui L, Hueckel T, Liang BH (2009b) Desiccation cracking of soils. Eur J Environ Civ Eng 13(7–8):869–888CrossRef
go back to reference Pietruszczak ST, Mróz Z (1981) Finite element analysis of deformation of strain-softening materials. Int J Numer Meth Eng 17(3):327–334 Pietruszczak ST, Mróz Z (1981) Finite element analysis of deformation of strain-softening materials. Int J Numer Meth Eng 17(3):327–334
go back to reference Pietruszczak ST, Pande GN (2001) Description of soil anisotropy based on multi-laminate framework. Int J Numer Anal Meth Geomech 25(2):197–206CrossRef Pietruszczak ST, Pande GN (2001) Description of soil anisotropy based on multi-laminate framework. Int J Numer Anal Meth Geomech 25(2):197–206CrossRef
go back to reference Pietruszczak ST, Lydzba D, Shao JF (2002) Modelling of inherent anisotropy in sedimentary rocks. Int J Solids Struct 39(3):637–648CrossRef Pietruszczak ST, Lydzba D, Shao JF (2002) Modelling of inherent anisotropy in sedimentary rocks. Int J Solids Struct 39(3):637–648CrossRef
go back to reference Pijaudier-Cabot G, Bazant ZP (1987) Nonlocal damage theory. J Eng Mech 113(10):1512–1533CrossRef Pijaudier-Cabot G, Bazant ZP (1987) Nonlocal damage theory. J Eng Mech 113(10):1512–1533CrossRef
go back to reference Plassart R, Fernandes R, Giraud A, Hoxha D, Laigle F (2013) Hydromechanical modelling of an excavation in an underground research laboratory with an elastoviscoplastic behaviour law and regularization by second gradient of dilation. Int J Rock Mech Min 58:23–33 Plassart R, Fernandes R, Giraud A, Hoxha D, Laigle F (2013) Hydromechanical modelling of an excavation in an underground research laboratory with an elastoviscoplastic behaviour law and regularization by second gradient of dilation. Int J Rock Mech Min 58:23–33
go back to reference Romero E, Gens A, Lloret A (2001) Temperature effects on the hydraulic behaviour of an unsaturated clay. Geotech Geol Eng 19(3–4):311–332CrossRef Romero E, Gens A, Lloret A (2001) Temperature effects on the hydraulic behaviour of an unsaturated clay. Geotech Geol Eng 19(3–4):311–332CrossRef
go back to reference Sieffert Y, Holo SA, Chambon R (2009) Loss of uniqueness of numerical solutions of the borehole problem modelled with enhanced media. Int J Solids Struct 46(2):3173–3197CrossRef Sieffert Y, Holo SA, Chambon R (2009) Loss of uniqueness of numerical solutions of the borehole problem modelled with enhanced media. Int J Solids Struct 46(2):3173–3197CrossRef
go back to reference Ta AN (2009) Etude de l’interaction sol–atmosphére en chambre environnementale. Ph.D. thesis, Ecole Nationale des Ponts et Chaussées, Paris Ta AN (2009) Etude de l’interaction sol–atmosphére en chambre environnementale. Ph.D. thesis, Ecole Nationale des Ponts et Chaussées, Paris
go back to reference Toupin R (1962) Elastic materials with couple-stresses. Arch Ration Mech Anal 11(1):385–414CrossRef Toupin R (1962) Elastic materials with couple-stresses. Arch Ration Mech Anal 11(1):385–414CrossRef
go back to reference Tsang CF, Bernier F (2004) Definitions of excavation disturbed zone and excavation damaged zone, in impact of the excavation disturbed or damaged zone (EDZ) on the performance of radioactive waste geological repositories. In: Proceedings European Commission CLUSTER Conference and Workshop on EDZ in radioactive waste geological repositories, Luxembourg Tsang CF, Bernier F (2004) Definitions of excavation disturbed zone and excavation damaged zone, in impact of the excavation disturbed or damaged zone (EDZ) on the performance of radioactive waste geological repositories. In: Proceedings European Commission CLUSTER Conference and Workshop on EDZ in radioactive waste geological repositories, Luxembourg
go back to reference Tsang CF, Bernier F, Davies C (2005) Geohydromechanical processes in the excavation damaged zone in crystalline rock, rock salt, and indurated and plastic clays—in the context of radioactive waste disposal. Int J Rock Mech Min 42(1):109–125CrossRef Tsang CF, Bernier F, Davies C (2005) Geohydromechanical processes in the excavation damaged zone in crystalline rock, rock salt, and indurated and plastic clays—in the context of radioactive waste disposal. Int J Rock Mech Min 42(1):109–125CrossRef
go back to reference Vardoulakis I, Goldscheider M, Gudehus Q (1978) Formation of shear bands in sand bodies as a bifurcation problem. Int J Numer Anal Met 2(2):99–128CrossRef Vardoulakis I, Goldscheider M, Gudehus Q (1978) Formation of shear bands in sand bodies as a bifurcation problem. Int J Numer Anal Met 2(2):99–128CrossRef
go back to reference Wileveau Y, Cornet FH, Desroches J, Blumling P (2007) Complete in situ stress determination in an argillite sedimentary formation. Phys Chem Earth 32(8–14):866–878CrossRef Wileveau Y, Cornet FH, Desroches J, Blumling P (2007) Complete in situ stress determination in an argillite sedimentary formation. Phys Chem Earth 32(8–14):866–878CrossRef
go back to reference Wu S, Wang X (2010) Mesh dependence and nonlocal regularization of one-dimensional strain softening plasticity. J Eng Mech 136(11):1354–1365CrossRef Wu S, Wang X (2010) Mesh dependence and nonlocal regularization of one-dimensional strain softening plasticity. J Eng Mech 136(11):1354–1365CrossRef
go back to reference Young JF (1967) Humidity control in the laboratory using salt solutions—a review. J Appl Chem 17(9):241–245CrossRef Young JF (1967) Humidity control in the laboratory using salt solutions—a review. J Appl Chem 17(9):241–245CrossRef
go back to reference Zervos A, Papanastasiou P, Vardoulakis I (2001a) Modelling of localisation and scale effect in thick-walled cylinders with gradient elastoplasticity. Int J Solids Struct 38(30–31):5081–5095CrossRef Zervos A, Papanastasiou P, Vardoulakis I (2001a) Modelling of localisation and scale effect in thick-walled cylinders with gradient elastoplasticity. Int J Solids Struct 38(30–31):5081–5095CrossRef
go back to reference Zervos A, Papanastasious P, Vardoulakis I (2001b) A finite element displacement formulation for gradient elastoplasticity. Int J Numer Meth Eng 50(6):1369–1388CrossRef Zervos A, Papanastasious P, Vardoulakis I (2001b) A finite element displacement formulation for gradient elastoplasticity. Int J Numer Meth Eng 50(6):1369–1388CrossRef
go back to reference Zhang F, Jia Y, Bian HB, Duveau G (2013) Modeling the influence of water content on the mechanical behavior of Callovo–Oxfordian argillite. Phys Chem Earth 65:79–89CrossRef Zhang F, Jia Y, Bian HB, Duveau G (2013) Modeling the influence of water content on the mechanical behavior of Callovo–Oxfordian argillite. Phys Chem Earth 65:79–89CrossRef
Metadata
Title
Using Local Second Gradient Model and Shear Strain Localisation to Model the Excavation Damaged Zone in Unsaturated Claystone
Authors
Benoît Pardoen
Séverine Levasseur
Frédéric Collin
Publication date
01-03-2015
Publisher
Springer Vienna
Published in
Rock Mechanics and Rock Engineering / Issue 2/2015
Print ISSN: 0723-2632
Electronic ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-014-0580-2

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