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Erschienen in: Rock Mechanics and Rock Engineering 2/2018

25.10.2017 | Original Paper

Dilatancy Criteria for Salt Cavern Design: A Comparison Between Stress- and Strain-Based Approaches

verfasst von: P. Labaune, A. Rouabhi, M. Tijani, L. Blanco-Martín, T. You

Erschienen in: Rock Mechanics and Rock Engineering | Ausgabe 2/2018

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Abstract

This paper presents a new approach for salt cavern design, based on the use of the onset of dilatancy as a design threshold. In the proposed approach, a rheological model that includes dilatancy at the constitutive level is developed, and a strain-based dilatancy criterion is defined. As compared to classical design methods that consist in simulating cavern behavior through creep laws (fitted on long-term tests) and then using a criterion (derived from short-terms tests or experience) to determine the stability of the excavation, the proposed approach is consistent both with short- and long-term conditions. The new strain-based dilatancy criterion is compared to a stress-based dilatancy criterion through numerical simulations of salt caverns under cyclic loading conditions. The dilatancy zones predicted by the strain-based criterion are larger than the ones predicted by the stress-based criteria, which is conservative yet constructive for design purposes.

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Fußnoten
1
For any tensor \({\varvec{a}}\), its deviatoric part is designated by a prime: \({\varvec{a}}^{\prime }={\varvec{a}}-\tfrac{1}{3}\text {tr}({\varvec{a}}){\varvec{1}}\), where \({\varvec{1}}\) is the identity tensor and \(\text {tr}(-)\) denotes the trace operator, and its norm is designated by \(||{\varvec{a}}||=\sqrt{{\varvec{a}}:{\varvec{a}}}\).
 
2
The notation \(f^{\prime }(x)\) indicates the derivative of f with respect to x.
 
Literatur
Zurück zum Zitat Aubertin M, Gill DE, Ladanyi B (1991) A unified viscoplastic model for the inelastic flow of alkali halides. Mech Mater 11(1):63–82CrossRef Aubertin M, Gill DE, Ladanyi B (1991) A unified viscoplastic model for the inelastic flow of alkali halides. Mech Mater 11(1):63–82CrossRef
Zurück zum Zitat Bauer SJ, Ehgartner BL, Neal JT (1997) Geotechnical studies associated with decommisioning the strategic petroleum reserve facility at Weeks Island, Louisiana: a case history. Int J Rock Mech Min Sci 34(3–4):25-e1 Bauer SJ, Ehgartner BL, Neal JT (1997) Geotechnical studies associated with decommisioning the strategic petroleum reserve facility at Weeks Island, Louisiana: a case history. Int J Rock Mech Min Sci 34(3–4):25-e1
Zurück zum Zitat Bays C (1962) Use of salt solution cavities for underground storage. In: Proceedings of the first world salt symposium, Cleveland, OH. pp 564–578 Bays C (1962) Use of salt solution cavities for underground storage. In: Proceedings of the first world salt symposium, Cleveland, OH. pp 564–578
Zurück zum Zitat Bérest P, Brouard B, Feuga B, Karimi-Jafari M (2008a) The 1873 collapse of the Saint-Maximilien panel at the Varangeville salt mine. Int J Rock Mech Min Sci 45(7):1025–1043CrossRef Bérest P, Brouard B, Feuga B, Karimi-Jafari M (2008a) The 1873 collapse of the Saint-Maximilien panel at the Varangeville salt mine. Int J Rock Mech Min Sci 45(7):1025–1043CrossRef
Zurück zum Zitat Bérest P, Karimi-Jafari M, Brouard B (2008b) Comportement mécanique à très long terme des mines et cavernes dans le sel gemme : loi de Norton-Hoff ou loi de Lemaitre. Revue Française de Géotechnique 1(124):45CrossRef Bérest P, Karimi-Jafari M, Brouard B (2008b) Comportement mécanique à très long terme des mines et cavernes dans le sel gemme : loi de Norton-Hoff ou loi de Lemaitre. Revue Française de Géotechnique 1(124):45CrossRef
Zurück zum Zitat Bérest P, Djakeun-Djizanne H, Brouard B, Hévin G (2012) Rapid depresurizations: Can they lead to irreversible damage? In: SMRI spring conference, 23–24 April 2012 Bérest P, Djakeun-Djizanne H, Brouard B, Hévin G (2012) Rapid depresurizations: Can they lead to irreversible damage? In: SMRI spring conference, 23–24 April 2012
Zurück zum Zitat Bérest P, Djakeun-Djizanne H, Brouard B, Frangi A (2013) A simplified solution for gas flow during a blow-out in an H2 or air storage cavern. In: SMRI spring conference, 22–23 April 2013. pp 125–144 Bérest P, Djakeun-Djizanne H, Brouard B, Frangi A (2013) A simplified solution for gas flow during a blow-out in an H2 or air storage cavern. In: SMRI spring conference, 22–23 April 2013. pp 125–144
Zurück zum Zitat Bigoni D, Piccolroaz A (2004) Yield criteria for quasibrittle and frictional materials. Int J Solid Struct 41(11):2855–2878CrossRef Bigoni D, Piccolroaz A (2004) Yield criteria for quasibrittle and frictional materials. Int J Solid Struct 41(11):2855–2878CrossRef
Zurück zum Zitat Chen WF, Han DJ (1988) Plasticity for structural engineers. Springer, New YorkCrossRef Chen WF, Han DJ (1988) Plasticity for structural engineers. Springer, New YorkCrossRef
Zurück zum Zitat Cristescu N (1993) A general constitutive equation for transient and stationary creep of rock salt. Int J Rock Mechan Min Sci Geomechan Abstr 30(2):125–140CrossRef Cristescu N (1993) A general constitutive equation for transient and stationary creep of rock salt. Int J Rock Mechan Min Sci Geomechan Abstr 30(2):125–140CrossRef
Zurück zum Zitat DeVries KL, Mellegard KD, Callahan GD (2002) Salt damage criterion proof-of-concept research. Technical Report DE-FC26-00NT41026, RESPEC, Rapid City, South Dakota DeVries KL, Mellegard KD, Callahan GD (2002) Salt damage criterion proof-of-concept research. Technical Report DE-FC26-00NT41026, RESPEC, Rapid City, South Dakota
Zurück zum Zitat DeVries KL, Mellegard KD, Callahan GD, Goodman WM (2005) Cavern roof stability for natural gas storage in bedded salt. Technical Report DE-FG26-02NT41651, RESPEC, Rapid City, South Dakota DeVries KL, Mellegard KD, Callahan GD, Goodman WM (2005) Cavern roof stability for natural gas storage in bedded salt. Technical Report DE-FG26-02NT41651, RESPEC, Rapid City, South Dakota
Zurück zum Zitat Djizanne H, Bérest P, Brouard B (2014) The mechanical stability of a salt cavern used for compressed air energy storage (CAES). In: SMRI spring 2014 technical conference, San Antonio, Texas, USA Djizanne H, Bérest P, Brouard B (2014) The mechanical stability of a salt cavern used for compressed air energy storage (CAES). In: SMRI spring 2014 technical conference, San Antonio, Texas, USA
Zurück zum Zitat Fokker PA (1995) The behaviour of salt and salt caverns. Ph.D. Dissertation, Delft University of Technology Fokker PA (1995) The behaviour of salt and salt caverns. Ph.D. Dissertation, Delft University of Technology
Zurück zum Zitat Ghasemloonia A, Butt S (2015) Feasibility study of underground salt caverns in Western Newfoundland: experimental and finite element investigation of creep-induced damage. J Min Environ 6(2):205–224 Ghasemloonia A, Butt S (2015) Feasibility study of underground salt caverns in Western Newfoundland: experimental and finite element investigation of creep-induced damage. J Min Environ 6(2):205–224
Zurück zum Zitat Günther R, Salzer K, Popp T (2010) Advanced strain-hardening approach constitutive model for rock salt describing transient, stationary, and accelerated creep and dilatancy. In: 44th US rock mechanics symposium and 5th US-Canada rock mechanics symposium. American Rock Mechanics Association Günther R, Salzer K, Popp T (2010) Advanced strain-hardening approach constitutive model for rock salt describing transient, stationary, and accelerated creep and dilatancy. In: 44th US rock mechanics symposium and 5th US-Canada rock mechanics symposium. American Rock Mechanics Association
Zurück zum Zitat Günther R, Salzer K, Popp T, Lüdeling C (2014) Steady state-creep of rock salt—improved approaches for lab determination and modeling to describe transient, stationary and accelerated creep, dilatancy and healing. In: 48th US rock mechanics/geomechanics symposium. American Rock Mechanics Association Günther R, Salzer K, Popp T, Lüdeling C (2014) Steady state-creep of rock salt—improved approaches for lab determination and modeling to describe transient, stationary and accelerated creep, dilatancy and healing. In: 48th US rock mechanics/geomechanics symposium. American Rock Mechanics Association
Zurück zum Zitat Heusermann S, Rolfs O, Schmidt U (2003) Nonlinear finite-element analysis of solution mined storage caverns in rock salt using the Lubby2 constitutive model. Comput Struct 81(811):629–638CrossRef Heusermann S, Rolfs O, Schmidt U (2003) Nonlinear finite-element analysis of solution mined storage caverns in rock salt using the Lubby2 constitutive model. Comput Struct 81(811):629–638CrossRef
Zurück zum Zitat Hou Z (2003) Mechanical and hydraulic behavior of rock salt in the excavation disturbed zone around underground facilities. Int J Rock Mech Min Sci 40(5):725–738CrossRef Hou Z (2003) Mechanical and hydraulic behavior of rock salt in the excavation disturbed zone around underground facilities. Int J Rock Mech Min Sci 40(5):725–738CrossRef
Zurück zum Zitat Hunsche UE (1993) Failure behaviour of rock salt around underground cavities. In: Proceedings of the 7th symposium on salt, vol 1. pp 59–65 Hunsche UE (1993) Failure behaviour of rock salt around underground cavities. In: Proceedings of the 7th symposium on salt, vol 1. pp 59–65
Zurück zum Zitat Khaledi K, Mahmoudi E, Datcheva M, Schanz T (2016) Stability and serviceability of underground energy storage caverns in rock salt subjected to mechanical cyclic loading. Int J Rock Mech Min Sci 86:115–131 Khaledi K, Mahmoudi E, Datcheva M, Schanz T (2016) Stability and serviceability of underground energy storage caverns in rock salt subjected to mechanical cyclic loading. Int J Rock Mech Min Sci 86:115–131
Zurück zum Zitat Minkley W, Mühlbauer J, Lüdeling C (2016) Dimensioning principles in potash and salt: stability and integrity. Rock Mech Rock Eng 49(11):4537–4555CrossRef Minkley W, Mühlbauer J, Lüdeling C (2016) Dimensioning principles in potash and salt: stability and integrity. Rock Mech Rock Eng 49(11):4537–4555CrossRef
Zurück zum Zitat Moghadam SN, Mirzabozorg H, Noorzad A (2013) Modeling time-dependent behavior of gas caverns in rock salt considering creep, dilatancy and failure. Tunn Undergr Space Technol 33:171–185CrossRef Moghadam SN, Mirzabozorg H, Noorzad A (2013) Modeling time-dependent behavior of gas caverns in rock salt considering creep, dilatancy and failure. Tunn Undergr Space Technol 33:171–185CrossRef
Zurück zum Zitat Moghadam SN, Nazokkar K, Chalaturnyk RJ, Mirzabozorg H (2015) Parametric assessment of salt cavern performance using a creep model describing dilatancy and failure. Int J Rock Mech Min Sci 79:250–267 Moghadam SN, Nazokkar K, Chalaturnyk RJ, Mirzabozorg H (2015) Parametric assessment of salt cavern performance using a creep model describing dilatancy and failure. Int J Rock Mech Min Sci 79:250–267
Zurück zum Zitat Munson DE (1993) Extension of the M-D model for treating stress drops in salt. In: Third conference on the mechanical behavior of salt. Ecole Polytechnique, Palaiseau, France, pp 31–44 Munson DE (1993) Extension of the M-D model for treating stress drops in salt. In: Third conference on the mechanical behavior of salt. Ecole Polytechnique, Palaiseau, France, pp 31–44
Zurück zum Zitat Munson DE, Dawson PR (1981) Salt constitutive modeling using mechanism maps. In: First conference on the mechanical behavior of salt. pp 717–737, Pennsylvania State University Munson DE, Dawson PR (1981) Salt constitutive modeling using mechanism maps. In: First conference on the mechanical behavior of salt. pp 717–737, Pennsylvania State University
Zurück zum Zitat Ozarslan A (2012) Large-scale hydrogen energy storage in salt caverns. Int J Hydrog Energy 37(19):14265–14277CrossRef Ozarslan A (2012) Large-scale hydrogen energy storage in salt caverns. Int J Hydrog Energy 37(19):14265–14277CrossRef
Zurück zum Zitat Schulze O, Popp T, Kern H (2001) Development of damage and permeability in deforming rock salt. Eng Geol 61(2):163–180CrossRef Schulze O, Popp T, Kern H (2001) Development of damage and permeability in deforming rock salt. Eng Geol 61(2):163–180CrossRef
Zurück zum Zitat Serbin K, Ślizowski J, Urbańczyk K, Nagy S (2015) The influence of thermodynamic effects on gas storage cavern convergence. Int J Rock Mech Min Sci 79:166–171 Serbin K, Ślizowski J, Urbańczyk K, Nagy S (2015) The influence of thermodynamic effects on gas storage cavern convergence. Int J Rock Mech Min Sci 79:166–171
Zurück zum Zitat Sobolik SR, Ehgartner BL (2011) In: Technical conference. Galveston, Texas, USA Sobolik SR, Ehgartner BL (2011) In: Technical conference. Galveston, Texas, USA
Zurück zum Zitat Spiers C, Peach C, Brzesowsky R (1989) In: Long-term rheological and transport properties of dry and wet salt rocks: final report. Office for Official Publications of the European Communities Spiers C, Peach C, Brzesowsky R (1989) In: Long-term rheological and transport properties of dry and wet salt rocks: final report. Office for Official Publications of the European Communities
Zurück zum Zitat Stormont J (1997) In situ gas permeability measurements to delineate damage in rock salt. Int J Rock Mech Min Sci 34(7):1055–1064CrossRef Stormont J (1997) In situ gas permeability measurements to delineate damage in rock salt. Int J Rock Mech Min Sci 34(7):1055–1064CrossRef
Zurück zum Zitat Thoms R, Gehle R (2000) A brief history of salt cavern use. In: Geertman R (ed) Proceedings of the 8th world salt symposium, The Hague. pp 207–214 Thoms R, Gehle R (2000) A brief history of salt cavern use. In: Geertman R (ed) Proceedings of the 8th world salt symposium, The Hague. pp 207–214
Zurück zum Zitat Tijani M, Vouille G, Hugout B (1983) Le sel gemme en tant que liquide visqueux. In: Congrès International de Mécanique des Roches, Melbourne. pp 241–246 Tijani M, Vouille G, Hugout B (1983) Le sel gemme en tant que liquide visqueux. In: Congrès International de Mécanique des Roches, Melbourne. pp 241–246
Zurück zum Zitat Van Sambeek LL, Ratigan JL, Hansen FD (1993) Dilatancy of rock salt in laboratory tests. Int J Rock Mech Min Sci Geomech Abstr 30(7):735–738CrossRef Van Sambeek LL, Ratigan JL, Hansen FD (1993) Dilatancy of rock salt in laboratory tests. Int J Rock Mech Min Sci Geomech Abstr 30(7):735–738CrossRef
Zurück zum Zitat Vouille G, Bergues J, Durup G, You T (1993) Study of the stability of caverns in rock salt created by solution mining-proposal for a new design criterion. In: ISRM international symposium-EUROCK 93. International Society for Rock Mechanics Vouille G, Bergues J, Durup G, You T (1993) Study of the stability of caverns in rock salt created by solution mining-proposal for a new design criterion. In: ISRM international symposium-EUROCK 93. International Society for Rock Mechanics
Zurück zum Zitat Wang L, Bérest P, Brouard B (2015) Mechanical behavior of salt caverns: closed-form solutions vs numerical computations. Rock Mech Rock Eng 48(6):2369–2382CrossRef Wang L, Bérest P, Brouard B (2015) Mechanical behavior of salt caverns: closed-form solutions vs numerical computations. Rock Mech Rock Eng 48(6):2369–2382CrossRef
Zurück zum Zitat Wang T, Yang C, Ma H, Li Y, Shi X, Li J, Daemen J (2016) Safety evaluation of salt cavern gas storage close to an old cavern. Int J Rock Mech Min Sci 83:95–106 Wang T, Yang C, Ma H, Li Y, Shi X, Li J, Daemen J (2016) Safety evaluation of salt cavern gas storage close to an old cavern. Int J Rock Mech Min Sci 83:95–106
Zurück zum Zitat Wolters R (2014) Thermisch-hydraulisch-mechanisch gekoppelte Analysen zum Tragverhalten von Kavernen im Salinargebirge vor dem Hintergrund der Energieträgerspeicherung und der Abfallentsorgung. Ph.D. Dissertation, Technischen Universität Clausthal Wolters R (2014) Thermisch-hydraulisch-mechanisch gekoppelte Analysen zum Tragverhalten von Kavernen im Salinargebirge vor dem Hintergrund der Energieträgerspeicherung und der Abfallentsorgung. Ph.D. Dissertation, Technischen Universität Clausthal
Zurück zum Zitat Wolters R, Lux K, Düsterloh U (2012) Evaluation of rock salt barriers with respect to tightness: influence of thermomechanical damage, fluid infiltration and sealing/healing. In: Proceedings of the seventh international conference on the mechanical behavior of salt, Paris, 16–19 April 2012, pp 425–434 Wolters R, Lux K, Düsterloh U (2012) Evaluation of rock salt barriers with respect to tightness: influence of thermomechanical damage, fluid infiltration and sealing/healing. In: Proceedings of the seventh international conference on the mechanical behavior of salt, Paris, 16–19 April 2012, pp 425–434
Zurück zum Zitat Yang C, Wang T, Ma H, Li Y, Shi X, Daemen J (2016) Feasibility analysis of using horizontal caverns for underground gas storage: a case study of Yunying salt district. J Nat Gas Sci Eng 36:252–266CrossRef Yang C, Wang T, Ma H, Li Y, Shi X, Daemen J (2016) Feasibility analysis of using horizontal caverns for underground gas storage: a case study of Yunying salt district. J Nat Gas Sci Eng 36:252–266CrossRef
Metadaten
Titel
Dilatancy Criteria for Salt Cavern Design: A Comparison Between Stress- and Strain-Based Approaches
verfasst von
P. Labaune
A. Rouabhi
M. Tijani
L. Blanco-Martín
T. You
Publikationsdatum
25.10.2017
Verlag
Springer Vienna
Erschienen in
Rock Mechanics and Rock Engineering / Ausgabe 2/2018
Print ISSN: 0723-2632
Elektronische ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-017-1338-4

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