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Published in: Rock Mechanics and Rock Engineering 7/2018

17-03-2018 | Original Paper

Nonlinear Elastic Response of Partially Saturated Gas Shales in Uniaxial Compression

Authors: Alberto Minardi, Alessio Ferrari, Russell Ewy, Lyesse Laloui

Published in: Rock Mechanics and Rock Engineering | Issue 7/2018

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Abstract

Elastic properties of gas shales are fundamental for the geomechanical characterization of unconventional reservoirs. Due to the presence of microcracks, a nonlinear elastic behaviour with hysteresis is usually exhibited when gas shales are subjected to unloading/reloading paths in laboratory tests for the determination of the elastic moduli. When gas shales are tested in partially saturated conditions with total suction control to reproduce in situ hydraulic conditions, the hysteretic behaviour results to be significantly affected by the wetting or drying processes imposed to change the water saturation of the material; an opening of the loop is observed; and different secant elastic moduli are measured on the unloading and reloading parts. Experimental evidence from a uniaxial compression test performed on a gas shale specimen is presented in this paper, where several unloading–reloading paths are carried out at different total suction values. This study demonstrates that the swelling (or shrinkage) behaviour experienced during total suction variations imposed before performing the axial stress variation influences significantly the sliding cracks mechanism during the unloading phase. In particular, when a wetting process is applied, the nonlinearity of the response decreases significantly. On the other hand, the reloading part exhibits always a nonlinear trend. Although the discrepancy between the unloading and reloading curves of the performed paths, a systematic impact of total suction on the elastic moduli is highlighted. The presented analysis demonstrates that not considering these mechanisms may lead to misleading interpretation of the experimental results.

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Literature
go back to reference Abousleiman YN, Tran MH, Hoan, S, Bobko CP, Ortega A, Ulm FJ (2007) Geomechanics field and laboratory characterization of the Woodford Shale: the next gas play. In: SPE annual technical conference and exhibition. Society of Petroleum Engineers Abousleiman YN, Tran MH, Hoan, S, Bobko CP, Ortega A, Ulm FJ (2007) Geomechanics field and laboratory characterization of the Woodford Shale: the next gas play. In: SPE annual technical conference and exhibition. Society of Petroleum Engineers
go back to reference Airò Farulla C, Battiato A, Ferrari A (2010) The void ratio dependency of the retention behaviour for a compacted clay. In: Alonso E, Gens A (eds) Unsaturated Soils. Taylor & Francis Group, London, pp 417–422CrossRef Airò Farulla C, Battiato A, Ferrari A (2010) The void ratio dependency of the retention behaviour for a compacted clay. In: Alonso E, Gens A (eds) Unsaturated Soils. Taylor & Francis Group, London, pp 417–422CrossRef
go back to reference Alonso EE, Gens A, Josa A (1990) A constitutive model for partially saturated soils. Géotechnique 40(3):405–430CrossRef Alonso EE, Gens A, Josa A (1990) A constitutive model for partially saturated soils. Géotechnique 40(3):405–430CrossRef
go back to reference Bishop AW, Blight GE (1963) Some aspects of effective stress in saturated and partly saturated soils. Geotechnique 13(3):177–197CrossRef Bishop AW, Blight GE (1963) Some aspects of effective stress in saturated and partly saturated soils. Geotechnique 13(3):177–197CrossRef
go back to reference Britt LK, Schoeffler J (2009) The geomechanics of a shale play: what makes a shale prospective. In: SPE eastern regional meeting. Society of Petroleum Engineers Britt LK, Schoeffler J (2009) The geomechanics of a shale play: what makes a shale prospective. In: SPE eastern regional meeting. Society of Petroleum Engineers
go back to reference David EC, Brantut N, Schubnel A, Zimmerman RW (2012) Sliding crack model for nonlinearity and hysteresis in the uniaxial stress–strain curve of rock. Int J Rock Mech Min Sci 52:9–17CrossRef David EC, Brantut N, Schubnel A, Zimmerman RW (2012) Sliding crack model for nonlinearity and hysteresis in the uniaxial stress–strain curve of rock. Int J Rock Mech Min Sci 52:9–17CrossRef
go back to reference Delage P, Romero E, Tarantino A (2008) Recent developments in the techniques of controlling and measuring suction in unsaturated soils. In: Keynote Lecture, proceedings of the 1st European conference on unsaturated soils, pp. 33–52 Delage P, Romero E, Tarantino A (2008) Recent developments in the techniques of controlling and measuring suction in unsaturated soils. In: Keynote Lecture, proceedings of the 1st European conference on unsaturated soils, pp. 33–52
go back to reference Delle Piane C, Dewhurst D, Siggins A, Raven M (2011) Stress-induced anisotropy in brine saturated shale. Geophys J Int 184(2):897–906CrossRef Delle Piane C, Dewhurst D, Siggins A, Raven M (2011) Stress-induced anisotropy in brine saturated shale. Geophys J Int 184(2):897–906CrossRef
go back to reference Dusseault MB (2011) Geomechanical challenges in petroleum reservoir exploitation. KSCE J Civil Eng 15(4):669–678CrossRef Dusseault MB (2011) Geomechanical challenges in petroleum reservoir exploitation. KSCE J Civil Eng 15(4):669–678CrossRef
go back to reference Ewy RT (2015) Shale/claystone response to air and liquid exposure, and implications for handling, sampling and testing. Int J Rock Mech Min Sci 80:388–401 Ewy RT (2015) Shale/claystone response to air and liquid exposure, and implications for handling, sampling and testing. Int J Rock Mech Min Sci 80:388–401
go back to reference Favero V, Ferrari A, Laloui L (2016) On the hydro-mechanical behaviour of remoulded and natural Opalinus clay shale. Eng Geol 208:128–135CrossRef Favero V, Ferrari A, Laloui L (2016) On the hydro-mechanical behaviour of remoulded and natural Opalinus clay shale. Eng Geol 208:128–135CrossRef
go back to reference Ferrari A, Laloui L (2013) Advances in the testing of the hydro-mechanical behaviour of shales. In: Laloui L, Ferrari A (eds) Multiphysical testing of soils and shales. Springer, Berlin Heidelberg, pp 57–68CrossRef Ferrari A, Laloui L (2013) Advances in the testing of the hydro-mechanical behaviour of shales. In: Laloui L, Ferrari A (eds) Multiphysical testing of soils and shales. Springer, Berlin Heidelberg, pp 57–68CrossRef
go back to reference Ferrari A, Favero V, Marschall P, Laloui L (2014) Experimental analysis of the water retention behaviour of shales. Int J Rock Mech Min Sci 72:61–70 Ferrari A, Favero V, Marschall P, Laloui L (2014) Experimental analysis of the water retention behaviour of shales. Int J Rock Mech Min Sci 72:61–70
go back to reference Ferrari A, Favero V, Laloui L (2016) One-dimensional compression and consolidation of shales. Int J Rock Mech Min Sci 88:286–300 Ferrari A, Favero V, Laloui L (2016) One-dimensional compression and consolidation of shales. Int J Rock Mech Min Sci 88:286–300
go back to reference Fredlund DG, Morgenstern NR (1977) Stress state variables for unsaturated soils. J Geotech Geoenviron Eng 103:447–466 Fredlund DG, Morgenstern NR (1977) Stress state variables for unsaturated soils. J Geotech Geoenviron Eng 103:447–466
go back to reference Fredlund DG, Rahardjo H (1993) Soil mechanics for unsaturated soils. Wiley, New YorkCrossRef Fredlund DG, Rahardjo H (1993) Soil mechanics for unsaturated soils. Wiley, New YorkCrossRef
go back to reference Gens A, Sánchez M, Sheng D (2006) On constitutive modelling of unsaturated soils. Acta Geotech 1(3):137CrossRef Gens A, Sánchez M, Sheng D (2006) On constitutive modelling of unsaturated soils. Acta Geotech 1(3):137CrossRef
go back to reference Jaeger JC, Cook NG, Zimmerman R (2009) Fundamentals of rock mechanics. Wiley, New York Jaeger JC, Cook NG, Zimmerman R (2009) Fundamentals of rock mechanics. Wiley, New York
go back to reference Jommi C, Di Prisco C (1994) A simple theoretical approach for modelling the mechanical behaviour of unsaturated soils. In: Il ruolo dei fluidi nei problemi di Ingegneria geotecnica; Proc. Italian conference vol 1, pp 167–188 Jommi C, Di Prisco C (1994) A simple theoretical approach for modelling the mechanical behaviour of unsaturated soils. In: Il ruolo dei fluidi nei problemi di Ingegneria geotecnica; Proc. Italian conference vol 1, pp 167–188
go back to reference Josh M, Esteban L, Delle Piane C, Sarout J, Dewhurst DN, Clennell MB (2012) Laboratory characterisation of shale properties. J Pet Sci Eng 88:107–124CrossRef Josh M, Esteban L, Delle Piane C, Sarout J, Dewhurst DN, Clennell MB (2012) Laboratory characterisation of shale properties. J Pet Sci Eng 88:107–124CrossRef
go back to reference Kumar V, Curtis ME, Gupta N, Sondergeld CH, Rai CS (2012) Estimation of elastic properties of organic matter in Woodford Shale through nanoindentation measurements. In: SPE Canadian Unconventional resources conference. Society of Petroleum Engineers Kumar V, Curtis ME, Gupta N, Sondergeld CH, Rai CS (2012) Estimation of elastic properties of organic matter in Woodford Shale through nanoindentation measurements. In: SPE Canadian Unconventional resources conference. Society of Petroleum Engineers
go back to reference Lai B, Li H, Zhang J, Jacobi D, Georgi D (2016) Water-content effects on dynamic elastic properties of organic-rich shale. SPE J 21(02):635–647CrossRef Lai B, Li H, Zhang J, Jacobi D, Georgi D (2016) Water-content effects on dynamic elastic properties of organic-rich shale. SPE J 21(02):635–647CrossRef
go back to reference Lawn BR, Marshall DB (1998) Nonlinear stress-strain curves for solids containing closed cracks with friction. J Mech Phys Solids 46(1):85–113CrossRef Lawn BR, Marshall DB (1998) Nonlinear stress-strain curves for solids containing closed cracks with friction. J Mech Phys Solids 46(1):85–113CrossRef
go back to reference Minardi A, Crisci E, Ferrari A, Laloui L (2016) Anisotropic volumetric behaviour of Opalinus Clay shale upon suction variation. Géotech Lett 6(2):144–148CrossRef Minardi A, Crisci E, Ferrari A, Laloui L (2016) Anisotropic volumetric behaviour of Opalinus Clay shale upon suction variation. Géotech Lett 6(2):144–148CrossRef
go back to reference Minardi A, Ferrari A, Ewy R, Laloui L (2018) The impact of the volumetric swelling behavior on the water uptake of gas shale. J Nat Gas Sci Eng 49(1):132–144CrossRef Minardi A, Ferrari A, Ewy R, Laloui L (2018) The impact of the volumetric swelling behavior on the water uptake of gas shale. J Nat Gas Sci Eng 49(1):132–144CrossRef
go back to reference Morlier P (1971) Description de l’etat de fissuration d’une roche a partir d’essais non-destructifs simples. Rock Mech Rock Eng 3(3):125–138CrossRef Morlier P (1971) Description de l’etat de fissuration d’une roche a partir d’essais non-destructifs simples. Rock Mech Rock Eng 3(3):125–138CrossRef
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 Meth Geomech 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 Meth Geomech 32(7):771–801CrossRef
go back to reference Pham QT, Valès F, Malinsky L, Nguyen Minh D, Gharbi H (2007) Effects of desaturation–resaturation on mudstone. Phys Chem Earth 32(8):646–655CrossRef Pham QT, Valès F, Malinsky L, Nguyen Minh D, Gharbi H (2007) Effects of desaturation–resaturation on mudstone. Phys Chem Earth 32(8):646–655CrossRef
go back to reference Pineda JA, Alonso EE, Romero E (2014) Environmental degradation of claystones. Géotechnique 64(1):64–82CrossRef Pineda JA, Alonso EE, Romero E (2014) Environmental degradation of claystones. Géotechnique 64(1):64–82CrossRef
go back to reference Rasouli V (2015) Geomechanics of gas shales. In: Rezaee R (ed) Fundamentals of gas shale reservoirs. Wiley, New York, pp 169–190CrossRef Rasouli V (2015) Geomechanics of gas shales. In: Rezaee R (ed) Fundamentals of gas shale reservoirs. Wiley, New York, pp 169–190CrossRef
go back to reference Romero E (2001) Controlled-suction techniques. In: Proc. 4th Simposium Brasileiro de Solos Não Saturados, Porto Alegre, Brasil Romero E (2001) Controlled-suction techniques. In: Proc. 4th Simposium Brasileiro de Solos Não Saturados, Porto Alegre, Brasil
go back to reference Rybacki E, Reinicke A, Meier T, Makasi M, Dresen G (2015) What controls the mechanical properties of shale rocks?—part I: strength and Young’s modulus. J Pet Sci Eng 135:702–722CrossRef Rybacki E, Reinicke A, Meier T, Makasi M, Dresen G (2015) What controls the mechanical properties of shale rocks?—part I: strength and Young’s modulus. J Pet Sci Eng 135:702–722CrossRef
go back to reference Rybacki E, Meier T, Dresen G (2016) What controls the mechanical properties of shale rocks?—part II: brittleness. J Pet Sci Eng 144:39–58CrossRef Rybacki E, Meier T, Dresen G (2016) What controls the mechanical properties of shale rocks?—part II: brittleness. J Pet Sci Eng 144:39–58CrossRef
go back to reference Sarout J, Guéguen Y (2008) Anisotropy of elastic wave velocities in deformed shales: part 1—experimental results. Geophysics 73(5):D75–D89CrossRef Sarout J, Guéguen Y (2008) Anisotropy of elastic wave velocities in deformed shales: part 1—experimental results. Geophysics 73(5):D75–D89CrossRef
go back to reference Sarout J, Molez L, Guéguen Y, Hoteit N (2007) Shale dynamic properties and anisotropy under triaxial loading: experimental and theoretical investigations. Phys Chem Earth Parts A/B/C 32(8):896–906CrossRef Sarout J, Molez L, Guéguen Y, Hoteit N (2007) Shale dynamic properties and anisotropy under triaxial loading: experimental and theoretical investigations. Phys Chem Earth Parts A/B/C 32(8):896–906CrossRef
go back to reference Sayers CM (2013) The effect of anisotropy on the Young’s moduli and Poisson’s ratios of shales. Geophys Prospect 61(2):416–426CrossRef Sayers CM (2013) The effect of anisotropy on the Young’s moduli and Poisson’s ratios of shales. Geophys Prospect 61(2):416–426CrossRef
go back to reference Schöpfer MP, Abe S, Childs C, Walsh JJ (2009) The impact of porosity and crack density on the elasticity, strength and friction of cohesive granular materials: insights from DEM modelling. Int J Rock Mech Min Sci 46(2):250–261CrossRef Schöpfer MP, Abe S, Childs C, Walsh JJ (2009) The impact of porosity and crack density on the elasticity, strength and friction of cohesive granular materials: insights from DEM modelling. Int J Rock Mech Min Sci 46(2):250–261CrossRef
go back to reference Sone H, Zoback MD (2013) Mechanical properties of shale-gas reservoir rocks—part 1: static and dynamic elastic properties and anisotropy. Geophysics 78(5):D381–D392CrossRef Sone H, Zoback MD (2013) Mechanical properties of shale-gas reservoir rocks—part 1: static and dynamic elastic properties and anisotropy. Geophysics 78(5):D381–D392CrossRef
go back to reference Tarantino A (2010) Basic concepts in the mechanics and hydraulics of unsaturated geomaterials. In: Laloui L (ed) Mechanics of unsaturated geomaterials. Wiley, NewYork, pp 3–28 Tarantino A (2010) Basic concepts in the mechanics and hydraulics of unsaturated geomaterials. In: Laloui L (ed) Mechanics of unsaturated geomaterials. Wiley, NewYork, pp 3–28
go back to reference Ulm FJ, Abousleiman Y (2006) The nanogranular nature of shale. Acta Geotech 1(2):77–88CrossRef Ulm FJ, Abousleiman Y (2006) The nanogranular nature of shale. Acta Geotech 1(2):77–88CrossRef
go back to reference Valès F, Nguyen Minh D, Gharbi H, Rejeb A (2004) Experimental study of the influence of the degree of saturation on physical and mechanical properties in Tournemire shale (France). Appl Clay Sci Clays 26:197–207CrossRef Valès F, Nguyen Minh D, Gharbi H, Rejeb A (2004) Experimental study of the influence of the degree of saturation on physical and mechanical properties in Tournemire shale (France). Appl Clay Sci Clays 26:197–207CrossRef
go back to reference Walsh JB (1965a) The effect of cracks on the compressibility of rock. J Geophys Res 70(2):381–389CrossRef Walsh JB (1965a) The effect of cracks on the compressibility of rock. J Geophys Res 70(2):381–389CrossRef
go back to reference Walsh JB (1965b) The effect of cracks on the uniaxial elastic compression of rocks. J Geophys Res 70(2):399–411CrossRef Walsh JB (1965b) The effect of cracks on the uniaxial elastic compression of rocks. J Geophys Res 70(2):399–411CrossRef
go back to reference Wan M, Delage P, Tang AM, Talandier J (2013) Water retention properties of the Callovo–Oxfordian claystone. Int J Rock Mech Min Sci 64:96–104 Wan M, Delage P, Tang AM, Talandier J (2013) Water retention properties of the Callovo–Oxfordian claystone. Int J Rock Mech Min Sci 64:96–104
go back to reference Waters GA, Lewis RE, Bentley D (2011) The effect of mechanical properties anisotropy in the generation of hydraulic fractures in organic shales. In: SPE annual technical conference and exhibition. Society of Petroleum Engineers Waters GA, Lewis RE, Bentley D (2011) The effect of mechanical properties anisotropy in the generation of hydraulic fractures in organic shales. In: SPE annual technical conference and exhibition. Society of Petroleum Engineers
go back to reference Yang D, Chanchole S, Valli P, Chen L (2013) Study of the anisotropic properties of argillite under moisture and mechanical loads. Rock Mech Rock Eng 46(2):247–257CrossRef Yang D, Chanchole S, Valli P, Chen L (2013) Study of the anisotropic properties of argillite under moisture and mechanical loads. Rock Mech Rock Eng 46(2):247–257CrossRef
go back to reference Zhang J (2013) Borehole stability analysis accounting for anisotropies in drilling to weak bedding planes. Int J Rock Mech Min Sci 60:160–170 Zhang J (2013) Borehole stability analysis accounting for anisotropies in drilling to weak bedding planes. Int J Rock Mech Min Sci 60:160–170
go back to reference Zhang F, Xie SY, Hu DW, Shao JF, Gatmiri B (2012) Effect of water content and structural anisotropy on mechanical property of claystone. Appl Clay Sci 69:79–86CrossRef Zhang F, Xie SY, Hu DW, Shao JF, Gatmiri B (2012) Effect of water content and structural anisotropy on mechanical property of claystone. Appl Clay Sci 69:79–86CrossRef
go back to reference Zhang D, Ranjith PG, Perera MSA (2016) The brittleness indices used in rock mechanics and their application in shale hydraulic fracturing: a review. J Pet Sci Eng 143:158–170CrossRef Zhang D, Ranjith PG, Perera MSA (2016) The brittleness indices used in rock mechanics and their application in shale hydraulic fracturing: a review. J Pet Sci Eng 143:158–170CrossRef
go back to reference Zimmerman RW (1985) The effect of microcracks on the elastic moduli of brittle materials. J Mater Sci Lett 4(12):1457–1460CrossRef Zimmerman RW (1985) The effect of microcracks on the elastic moduli of brittle materials. J Mater Sci Lett 4(12):1457–1460CrossRef
go back to reference Zimmerman RW (1991) Compressibility of sandstones. Elsevier, Amsterdam Zimmerman RW (1991) Compressibility of sandstones. Elsevier, Amsterdam
Metadata
Title
Nonlinear Elastic Response of Partially Saturated Gas Shales in Uniaxial Compression
Authors
Alberto Minardi
Alessio Ferrari
Russell Ewy
Lyesse Laloui
Publication date
17-03-2018
Publisher
Springer Vienna
Published in
Rock Mechanics and Rock Engineering / Issue 7/2018
Print ISSN: 0723-2632
Electronic ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-018-1453-x

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