Skip to main content
Erschienen in: Environmental Earth Sciences 14/2016

01.07.2016 | Thematic Issue

Concept for an integral approach to explore the behavior of rock salt caverns under thermo-mechanical cyclic loading in energy storage systems

verfasst von: Elham Mahmoudi, Kavan Khaledi, Achim von Blumenthal, Diethard König, Tom Schanz

Erschienen in: Environmental Earth Sciences | Ausgabe 14/2016

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The fluctuating nature of renewable energy sources can be managed by storing the surplus of electrical energy in an appropriate reservoir. The excess electricity available during off-peak periods of consumption may be used to compress air or electrolyze hydrogen. Afterward, the pressurized gas is stored in the rock salt cavities and discharged to compensate the shortage of energy when required. During this process, the rock salt surrounding the cavern undergoes thermo-mechanical cyclic loading. In order to achieve a reliable geotechnical design, the stress–strain response of rock salt under such loading condition has to be identified and predicted. In order to investigate the rock salt behavior under such loading, a comprehensive study using three concepts of geotechnical engineering, i.e., experimental investigation, constitutive modeling and numerical analysis, is conducted. A triaxial experimental setup is developed to supplement the knowledge of the cyclic thermo-mechanical behavior of rock salt. The imposed boundary conditions in the experimental setup are assumed to be similar to the stress state obtained from a full-scale numerical simulation. The computational model relies primarily on the governing constitutive model for predicting the behavior of rock salt cavity. Hence, a sophisticated elasto-viscoplastic creep constitutive model is developed to take into account the dilatancy and damage progress, as well as the temperature effects. The contributed input parameters in the constitutive model can be calibrated using the experimental measurements. In the following, the initial numerical simulation is modified based on the calibrated constitutive model. However, because of the significant levels of uncertainties involved in the design procedure of such structures, a reliable design can be achieved by employing probabilistic approaches. Therefore, the numerical calculation is extended by statistical tools such as sensitivity analysis, optimum experimental design, back analysis, probabilistic analysis and robust reliability-based design to get final design parameters of paramount need for practice.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Alkan H, Cin Y, Pusch G (2007) Rock salt dilatancy boundary from combined acoustic emission and triaxial compression tests. Int J Rock Mech Min Sci 44:108–119CrossRef Alkan H, Cin Y, Pusch G (2007) Rock salt dilatancy boundary from combined acoustic emission and triaxial compression tests. Int J Rock Mech Min Sci 44:108–119CrossRef
Zurück zum Zitat Allen RD, Doherty TJ, Thorns R (1982) Geotechnical factors and guidelines for storage of compressed air in solution mined salt cavities. Tech. Rep. PNL-4242, UC-94e, Pacific Northwest Laboratory, prepared for the U.S. Department of Energy under Contract DE-AC06-76RLO 1830 Allen RD, Doherty TJ, Thorns R (1982) Geotechnical factors and guidelines for storage of compressed air in solution mined salt cavities. Tech. Rep. PNL-4242, UC-94e, Pacific Northwest Laboratory, prepared for the U.S. Department of Energy under Contract DE-AC06-76RLO 1830
Zurück zum Zitat Au SK, Beck JL (2001) Estimation of small failure probabilities in high dimensions by subset simulation. Probab Eng Mech 16:263–277CrossRef Au SK, Beck JL (2001) Estimation of small failure probabilities in high dimensions by subset simulation. Probab Eng Mech 16:263–277CrossRef
Zurück zum Zitat Ayling MR, Meredith PG, Murrell SA (1995) Microcracking during triaxial deformation of porous rocks monitored by changes in rock physical properties, i. elastic-wave propagation measurements on dry rocks. Tectonophysics 245(3):205–221CrossRef Ayling MR, Meredith PG, Murrell SA (1995) Microcracking during triaxial deformation of porous rocks monitored by changes in rock physical properties, i. elastic-wave propagation measurements on dry rocks. Tectonophysics 245(3):205–221CrossRef
Zurück zum Zitat Bardow A (2008) Optimal experimental design of ill-posed problems: the meter approach. Comput Chem Eng 32:115–124CrossRef Bardow A (2008) Optimal experimental design of ill-posed problems: the meter approach. Comput Chem Eng 32:115–124CrossRef
Zurück zum Zitat Bauer SJ, Broome ST, Bronowski DR, Rinehart A, Ingraham M (2011) Experimental deformation of salt in cyclic loading insights from acoustic emission measurements. Tech. rep, Sandia National Laboratories (SNL-NM), Albuquerque, NM, USA Bauer SJ, Broome ST, Bronowski DR, Rinehart A, Ingraham M (2011) Experimental deformation of salt in cyclic loading insights from acoustic emission measurements. Tech. rep, Sandia National Laboratories (SNL-NM), Albuquerque, NM, USA
Zurück zum Zitat Bay CA (1963) Use of salt solution cavities for underground storage. In: Symp. On Salt, Northern Ohio Geol Soc., pp 564–578 Bay CA (1963) Use of salt solution cavities for underground storage. In: Symp. On Salt, Northern Ohio Geol Soc., pp 564–578
Zurück zum Zitat Bérest P (2011) Thermomechanical aspects of high frequency cycling in salt storage caverns. In: International Gas Union Research Conference, Oct 2011, Seoul, South Korea Bérest P (2011) Thermomechanical aspects of high frequency cycling in salt storage caverns. In: International Gas Union Research Conference, Oct 2011, Seoul, South Korea
Zurück zum Zitat Bérest P, Brouard B (2003) Safety of salt caverns used for underground storage. Oil Gas Sci Technol 58:361–384CrossRef Bérest P, Brouard B (2003) Safety of salt caverns used for underground storage. Oil Gas Sci Technol 58:361–384CrossRef
Zurück zum Zitat Bérest P, Brouard B, Feuga B, Karimi-Jafari M (2008) 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 (2008) 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 Berést P, Djizanne H, Brouard B, Hvin G (2013) Effects of a rapid depressurization in a salt cavern. In: Feng XT, Hudson JA, Tan F (eds) Rock characterisation, modelling and engineering design methods. CRC Press, Boca Raton, pp 653–658CrossRef Berést P, Djizanne H, Brouard B, Hvin G (2013) Effects of a rapid depressurization in a salt cavern. In: Feng XT, Hudson JA, Tan F (eds) Rock characterisation, modelling and engineering design methods. CRC Press, Boca Raton, pp 653–658CrossRef
Zurück zum Zitat Bolzon G, Buljak V (2011) An effective computational tool for parametric studies and identification problems in materials mechanics. Comput Mech 48:657–687CrossRef Bolzon G, Buljak V (2011) An effective computational tool for parametric studies and identification problems in materials mechanics. Comput Mech 48:657–687CrossRef
Zurück zum Zitat Bräuer V, Eickemier R, Eisenburger D, Grissemann C (2011) Description of the gorleben site part 4: geotechnical exploration of the gorleben salt dome. Die Bundesanstalt für Geowissenschaften und Rohstoffe Bräuer V, Eickemier R, Eisenburger D, Grissemann C (2011) Description of the gorleben site part 4: geotechnical exploration of the gorleben salt dome. Die Bundesanstalt für Geowissenschaften und Rohstoffe
Zurück zum Zitat Brouard B, Berést P, Karimi-Jafari M (2007) Onset of tensile effective stresses in gas storage caverns. In: SMRI conference. Halifax, Canada, pp 1–16 Brouard B, Berést P, Karimi-Jafari M (2007) Onset of tensile effective stresses in gas storage caverns. In: SMRI conference. Halifax, Canada, pp 1–16
Zurück zum Zitat Buljak V (2010) Proper orthogonal decomposition and radial basis functions algorithm for diagnostic procedure based on inverse analysis. FME Trans 38:129–136 Buljak V (2010) Proper orthogonal decomposition and radial basis functions algorithm for diagnostic procedure based on inverse analysis. FME Trans 38:129–136
Zurück zum Zitat Buljak V (2012) Inverse analysis with model reduction: proper orthogonal decomposition in structural mechanics. Springer, BerlinCrossRef Buljak V (2012) Inverse analysis with model reduction: proper orthogonal decomposition in structural mechanics. Springer, BerlinCrossRef
Zurück zum Zitat Cacuci DG (2003) Sensitivity and uncertainty analysis, volume 1: theory. CRC Press, Boca RatonCrossRef Cacuci DG (2003) Sensitivity and uncertainty analysis, volume 1: theory. CRC Press, Boca RatonCrossRef
Zurück zum Zitat Cekerevac C, Laloui L, Vulliet L (2005) A novel triaxial apparatus for thermo-mechanical testing of soils. Geotech Test J 28(2):161–170 Cekerevac C, Laloui L, Vulliet L (2005) A novel triaxial apparatus for thermo-mechanical testing of soils. Geotech Test J 28(2):161–170
Zurück zum Zitat Code-Bright user’s guide (2010) Code-Bright user’s guide. Department of the Geotechnical Engineering and Geosciences of the Technical University of Catalonia Code-Bright user’s guide (2010) Code-Bright user’s guide. Department of the Geotechnical Engineering and Geosciences of the Technical University of Catalonia
Zurück zum Zitat Cristescu N (1987) Elastic viscoplastic constitutive equations for rock. Int J Rock Mech Min Sci Geomech 24(5):271–281CrossRef Cristescu N (1987) Elastic viscoplastic constitutive equations for rock. Int J Rock Mech Min Sci Geomech 24(5):271–281CrossRef
Zurück zum Zitat Cristescu N (1993) A general constitutive equation for transient and stationary creep of rock salt. Int J Rock Mech Min Sci Geomech 30(2):125–139CrossRef Cristescu N (1993) A general constitutive equation for transient and stationary creep of rock salt. Int J Rock Mech Min Sci Geomech 30(2):125–139CrossRef
Zurück zum Zitat Cristescu N, Gioda G (1994) Visco-plastic behaviour of geomaterials. CISM International Centre for Mechanical Sciences. Springer, Vienna Cristescu N, Gioda G (1994) Visco-plastic behaviour of geomaterials. CISM International Centre for Mechanical Sciences. Springer, Vienna
Zurück zum Zitat Cristescu N, Hunsche U (1998) Time effects in rock mechanics. Wiley, New York Cristescu N, Hunsche U (1998) Time effects in rock mechanics. Wiley, New York
Zurück zum Zitat Crotogino F, Mohmeyer C, Scharf R (2001) More than 20 years of successful operation. In: SMRI conference. Orlando, USA, pp 1–7 Crotogino F, Mohmeyer C, Scharf R (2001) More than 20 years of successful operation. In: SMRI conference. Orlando, USA, pp 1–7
Zurück zum Zitat Cukier RI, Fortuin CM, Schuler KE, Petschek AG, Schaibly JH (1973) Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients, i theory. J Chem Phys 59(8):3873–3878CrossRef Cukier RI, Fortuin CM, Schuler KE, Petschek AG, Schaibly JH (1973) Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients, i theory. J Chem Phys 59(8):3873–3878CrossRef
Zurück zum Zitat Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. Trans Evol Comput 6(2):182–197CrossRef Deb K, Pratap A, Agarwal S, Meyarivan T (2002) A fast and elitist multiobjective genetic algorithm: NSGA-II. Trans Evol Comput 6(2):182–197CrossRef
Zurück zum Zitat Desai C, Varadarajan A (1987) A constitutive model for quasi-static behavior of rock salt. J Geophys Res 92:445–456CrossRef Desai C, Varadarajan A (1987) A constitutive model for quasi-static behavior of rock salt. J Geophys Res 92:445–456CrossRef
Zurück zum Zitat Desai C, Zhang D (1987) Viscoplastic model for geologic material with generalized flow rule. Int J Numer Anal Methods 11:603–627CrossRef Desai C, Zhang D (1987) Viscoplastic model for geologic material with generalized flow rule. Int J Numer Anal Methods 11:603–627CrossRef
Zurück zum Zitat Djizanne H, Berést P, Brouard B (2012) Tensile effective stresses in hydrocarbon storage caverns. In: SMRI conference. Bremen, Germany, pp 1–18 Djizanne H, Berést P, Brouard B (2012) Tensile effective stresses in hydrocarbon storage caverns. In: SMRI conference. Bremen, Germany, pp 1–18
Zurück zum Zitat Dusan K (ed) (1996) Damage mechanics, North-Holland series in applied mathematics and mechanics, vol 41. North-Holland, Amsterdam Dusan K (ed) (1996) Damage mechanics, North-Holland series in applied mathematics and mechanics, vol 41. North-Holland, Amsterdam
Zurück zum Zitat Düsterloh U (2010) Geotechnische Sicherheitsnachweise für Hohlraumbauten im Salinargebirge unter besonderer Berücksichtigung laborativer Untersuchungen. Technische Universität Clausthal. Papierflieger Düsterloh U (2010) Geotechnische Sicherheitsnachweise für Hohlraumbauten im Salinargebirge unter besonderer Berücksichtigung laborativer Untersuchungen. Technische Universität Clausthal. Papierflieger
Zurück zum Zitat Düsterloh U, Lerche S, Lux KH (2013) Damage and healing properties of rock salt: long-term cyclic loading tests and numerical back analysis. In: Clean energy systems in the subsurface: production, storage and conversion. Springer, Berlin, pp 341–362 Düsterloh U, Lerche S, Lux KH (2013) Damage and healing properties of rock salt: long-term cyclic loading tests and numerical back analysis. In: Clean energy systems in the subsurface: production, storage and conversion. Springer, Berlin, pp 341–362
Zurück zum Zitat Efron B, Tibshirani R (1993) An Introduction to the bootstrap. Chapman & Hall, LondonCrossRef Efron B, Tibshirani R (1993) An Introduction to the bootstrap. Chapman & Hall, LondonCrossRef
Zurück zum Zitat Forrester AIJ, Sobester A, Keane A (2008) Engineering design via surrogate modelling: a practical guide. Wiley, New YorkCrossRef Forrester AIJ, Sobester A, Keane A (2008) Engineering design via surrogate modelling: a practical guide. Wiley, New YorkCrossRef
Zurück zum Zitat Fuenkajorn K, Phueakphum D (2010) Effects of cyclic loading on mechanical properties of Maha Sarakham salt. Eng Geol 112(1):43–52CrossRef Fuenkajorn K, Phueakphum D (2010) Effects of cyclic loading on mechanical properties of Maha Sarakham salt. Eng Geol 112(1):43–52CrossRef
Zurück zum Zitat Gillhaus A (2007) Natural gas storage in salt caverns—present status, developments and future trends in Europe. In: SMRI conference. Basel, Switzerland, pp 1–18 Gillhaus A (2007) Natural gas storage in salt caverns—present status, developments and future trends in Europe. In: SMRI conference. Basel, Switzerland, pp 1–18
Zurück zum Zitat Gray CT (1988) Introduction to quality engineering: designing quality into products and processes. Wiley, New York Gray CT (1988) Introduction to quality engineering: designing quality into products and processes. Wiley, New York
Zurück zum Zitat Günther R, Salzer K (2007) A model for rock salt, describing transient, stationary, and accelerated creep and dilatancy. In: In 6th conference on the mechanical behavior of salt-SALTMECH6, Hannover, Germany, 22–25 May 2007 Günther R, Salzer K (2007) A model for rock salt, describing transient, stationary, and accelerated creep and dilatancy. In: In 6th conference on the mechanical behavior of salt-SALTMECH6, Hannover, Germany, 22–25 May 2007
Zurück zum Zitat Guo Y, Yang C, Mao H (2012) Mechanical properties of Jintan rock salt undercomplex stress paths. Int J Rock Mech Min 56:54–61 Guo Y, Yang C, Mao H (2012) Mechanical properties of Jintan rock salt undercomplex stress paths. Int J Rock Mech Min 56:54–61
Zurück zum Zitat Haldar A, Mahadevan S (2000) Probability, reliability, and statistical methods in engineering design. Wiley, New York Haldar A, Mahadevan S (2000) Probability, reliability, and statistical methods in engineering design. Wiley, New York
Zurück zum Zitat Hamm N, Hall J, Anderson M (2006) Variance-based sensitivity analysis of the probability of hydrologically induced slope instability. Comput Geosci 32(6):803–817CrossRef Hamm N, Hall J, Anderson M (2006) Variance-based sensitivity analysis of the probability of hydrologically induced slope instability. Comput Geosci 32(6):803–817CrossRef
Zurück zum Zitat Hampel A, Schulze O (2007) The composite dilatancy model: a constitutive model for the mechanical behavior of rock salt. In: 6th conference on the mechanical behavior of salt-SALTMECH6, Hannover, Germany, 22–25 May 2007 Hampel A, Schulze O (2007) The composite dilatancy model: a constitutive model for the mechanical behavior of rock salt. In: 6th conference on the mechanical behavior of salt-SALTMECH6, Hannover, Germany, 22–25 May 2007
Zurück zum Zitat Hansen F, Carter N (1983) Review creep of rock salt. Tectonophys J 92:275–333CrossRef Hansen F, Carter N (1983) Review creep of rock salt. Tectonophys J 92:275–333CrossRef
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 J 81:629–638CrossRef 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 J 81:629–638CrossRef
Zurück zum Zitat Hölter R, Mahmoudi E, Schanz T (2015) Optimal sensor location for parameter identification in soft clay. In: AIP Conference Proceedings, vol 1684, p 030005 Hölter R, Mahmoudi E, Schanz T (2015) Optimal sensor location for parameter identification in soft clay. In: AIP Conference Proceedings, vol 1684, p 030005
Zurück zum Zitat Homma T, Saltelli A (1996) Importance measure in global sensitivity analysis of nonlinear models. Reliab Eng Syst Saf 52:1–17CrossRef Homma T, Saltelli A (1996) Importance measure in global sensitivity analysis of nonlinear models. Reliab Eng Syst Saf 52:1–17CrossRef
Zurück zum Zitat Hou Z, Gou Y, Xie L, Zhang R (2010) Natural gas storage cavern design under special consideration of the thin bedded salt layer in Jintan and the intermediate layers of mudstone. In: Hou M, Xie H, Yoon J (eds) Underground storage of CO2 and energy. CRC Press, Boca Raton, pp 211–216CrossRef Hou Z, Gou Y, Xie L, Zhang R (2010) Natural gas storage cavern design under special consideration of the thin bedded salt layer in Jintan and the intermediate layers of mudstone. In: Hou M, Xie H, Yoon J (eds) Underground storage of CO2 and energy. CRC Press, Boca Raton, pp 211–216CrossRef
Zurück zum Zitat Hunsche U, Hampel A (1999) Rock salt, the mechanical properties of the host rock material for radio active waste repository. Eng Geol 52:271–291CrossRef Hunsche U, Hampel A (1999) Rock salt, the mechanical properties of the host rock material for radio active waste repository. Eng Geol 52:271–291CrossRef
Zurück zum Zitat Jafari M, Berést P, Brouard B (2008) Subsidence, sinkholes and craters above salt caverns. In: SMRI conference. Porto, Portugal, pp 1–10 Jafari M, Berést P, Brouard B (2008) Subsidence, sinkholes and craters above salt caverns. In: SMRI conference. Porto, Portugal, pp 1–10
Zurück zum Zitat Jafari M, Gatelier N, Brouard B, Berést P (2011) Multi cycle gas storage in salt caverns. In: SMRI conference. York, UK, pp 1–18 Jafari M, Gatelier N, Brouard B, Berést P (2011) Multi cycle gas storage in salt caverns. In: SMRI conference. York, UK, pp 1–18
Zurück zum Zitat Joshi M, Seidel-Morgenstern A, Kremling A (2006) Exploiting the bootstrap method for quantifying parameter confidence intervals in dynamical systems. Metab Eng 8:447–455CrossRef Joshi M, Seidel-Morgenstern A, Kremling A (2006) Exploiting the bootstrap method for quantifying parameter confidence intervals in dynamical systems. Metab Eng 8:447–455CrossRef
Zurück zum Zitat Juang CH, Wang L (2013) Reliability-based robust geotechnical design of spread foundations using multi-objective genetic algorithm. J Comput Geotech 48:96–106CrossRef Juang CH, Wang L (2013) Reliability-based robust geotechnical design of spread foundations using multi-objective genetic algorithm. J Comput Geotech 48:96–106CrossRef
Zurück zum Zitat Kennedy MC, O’Hagan A (2001) Bayesian calibration of computer models. J R Stat Soc Ser B (Stat Methodol) 63(3):425–464CrossRef Kennedy MC, O’Hagan A (2001) Bayesian calibration of computer models. J R Stat Soc Ser B (Stat Methodol) 63(3):425–464CrossRef
Zurück zum Zitat Khaledi K, Miro S, König M, Schanz T (2014) Robust and reliable metamodels for mechanized tunnel simulations. Comput Geotech 61:1–12CrossRef Khaledi K, Miro S, König M, Schanz T (2014) Robust and reliable metamodels for mechanized tunnel simulations. Comput Geotech 61:1–12CrossRef
Zurück zum Zitat Khaledi K, Mahmoudi E, König D, Schanz T (2015) Sensitivity analyses on the influence of constitutive parameters on the numerical simulation of the behavior of a cavern in rock salt. In: Geomechanics from micro to macro, pp 933–938 Khaledi K, Mahmoudi E, König D, Schanz T (2015) Sensitivity analyses on the influence of constitutive parameters on the numerical simulation of the behavior of a cavern in rock salt. In: Geomechanics from micro to macro, pp 933–938
Zurück zum Zitat Khaledi K, Mahmoudi E, Datcheva M, König D, Schanz T (2016a) Sensitivity analysis and parameter identification of a time dependent constitutive model for rock salt. J Comput Appl Math 293:128–138CrossRef Khaledi K, Mahmoudi E, Datcheva M, König D, Schanz T (2016a) Sensitivity analysis and parameter identification of a time dependent constitutive model for rock salt. J Comput Appl Math 293:128–138CrossRef
Zurück zum Zitat Khaledi K, Mahmoudi E, Datcheva M, Schanz T (2016b) 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 (2016b) 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 Knabe T, Schweiger HF, Schanz T (2012) Calibration of constitutive parameters by inverse analysis for a geotechnical boundary problem. Can Geotech J 49(2):170–183CrossRef Knabe T, Schweiger HF, Schanz T (2012) Calibration of constitutive parameters by inverse analysis for a geotechnical boundary problem. Can Geotech J 49(2):170–183CrossRef
Zurück zum Zitat Lahmer T (2011) Optimal experimental design for nonlinear ill-posed problems applied to gravity dams. Inverse Probl 27(12):125005CrossRef Lahmer T (2011) Optimal experimental design for nonlinear ill-posed problems applied to gravity dams. Inverse Probl 27(12):125005CrossRef
Zurück zum Zitat Lancaster P, Salkauskas K (1981) Surfaces generated by moving least squares methods. Math Comput 37(155):141–158CrossRef Lancaster P, Salkauskas K (1981) Surfaces generated by moving least squares methods. Math Comput 37(155):141–158CrossRef
Zurück zum Zitat Liang W, Zhang C, Gao H, Yang X, Xu S, Zhao Y (2012) Experiments on mechanical properties of salt rocks under cyclic loading. J Rock Mech Geotech Eng 4(1):54–61CrossRef Liang W, Zhang C, Gao H, Yang X, Xu S, Zhao Y (2012) Experiments on mechanical properties of salt rocks under cyclic loading. J Rock Mech Geotech Eng 4(1):54–61CrossRef
Zurück zum Zitat Liu J, Xie H, Hou Z, Yang C, Chen L (2014) Damage evolution of rock salt under cyclic loading in uniaxial tests. Acta Geotech 9(1):153–160CrossRef Liu J, Xie H, Hou Z, Yang C, Chen L (2014) Damage evolution of rock salt under cyclic loading in uniaxial tests. Acta Geotech 9(1):153–160CrossRef
Zurück zum Zitat Lux KH (2013) Recent developments in geotechnical design of natural gas storage cavities regarding physical modelling as well as numerical simulation. In: Hou MZ, Xie H, Were P (eds) Clean energy systems in the subsurface: production, storage and conversion. Springer, Berlin, pp 451–485CrossRef Lux KH (2013) Recent developments in geotechnical design of natural gas storage cavities regarding physical modelling as well as numerical simulation. In: Hou MZ, Xie H, Were P (eds) Clean energy systems in the subsurface: production, storage and conversion. Springer, Berlin, pp 451–485CrossRef
Zurück zum Zitat Lux KH, Duesterloh U, Hou Z (2002) Erhoehung der wirtschaftlichkeit von speicherkavernen durch anwendung eines neuen entwurfsund nachweiskonzeptes. Erdoel Erdgas Kohle 118(6):294–300 Lux KH, Duesterloh U, Hou Z (2002) Erhoehung der wirtschaftlichkeit von speicherkavernen durch anwendung eines neuen entwurfsund nachweiskonzeptes. Erdoel Erdgas Kohle 118(6):294–300
Zurück zum Zitat Lj M, Xy L, Wang My X, Hf HR, Px F, Sr J, Ga W, Qk Y (2013) Experimental investigation of the mechanical properties of rock salt under triaxial cyclic loading. Int J Rock Mech Min Sci 62:34–41 Lj M, Xy L, Wang My X, Hf HR, Px F, Sr J, Ga W, Qk Y (2013) Experimental investigation of the mechanical properties of rock salt under triaxial cyclic loading. Int J Rock Mech Min Sci 62:34–41
Zurück zum Zitat Minkley M, Muehlbauer J (2007) Constitutive models to describe the mechanical behavior of salt rocks and the imbedded weakness planes. In: 6th conference on the mechanical behavior of salt-SALTMECH6, Hannover, Germany, pp 119–127 Minkley M, Muehlbauer J (2007) Constitutive models to describe the mechanical behavior of salt rocks and the imbedded weakness planes. In: 6th conference on the mechanical behavior of salt-SALTMECH6, Hannover, Germany, pp 119–127
Zurück zum Zitat Miro S, Hartmann D, Schanz T (2014) Global sensitivity analysis for subsoil parameter estimation in mechanized tunneling. Comput Geotech 56:80–88CrossRef Miro S, Hartmann D, Schanz T (2014) Global sensitivity analysis for subsoil parameter estimation in mechanized tunneling. Comput Geotech 56:80–88CrossRef
Zurück zum Zitat Miro S, König M, Hartmann D, Schanz T (2015) A probabilistic analysis of subsoil parameters uncertainty impacts on tunnel-induced ground movements with a back-analysis study. Comput Geotech 68:38–53CrossRef Miro S, König M, Hartmann D, Schanz T (2015) A probabilistic analysis of subsoil parameters uncertainty impacts on tunnel-induced ground movements with a back-analysis study. Comput Geotech 68:38–53CrossRef
Zurück zum Zitat Mollon G, Dias D, Soubra AH (2013) Probabilistic analyses of tunneling-induced ground movements. Acta Geotech 8(2):181–199CrossRef Mollon G, Dias D, Soubra AH (2013) Probabilistic analyses of tunneling-induced ground movements. Acta Geotech 8(2):181–199CrossRef
Zurück zum Zitat Morris MD (1991) Technometrics, factorial sampling plans for preliminary computational experiments. Taylor & Francis, Ltd, Oxfordshire Morris MD (1991) Technometrics, factorial sampling plans for preliminary computational experiments. Taylor & Francis, Ltd, Oxfordshire
Zurück zum Zitat Nazary S, Mirzabozorg H, Noorzad H (2013) Modeling time-dependent behavior of gas caverns in rock salt considering creep, dilatancy and failure. Tunn Undergr Space Technol 33:171–185CrossRef Nazary S, Mirzabozorg H, Noorzad H (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 Nguyen MD, Braham S, Durup JG (1993) Surface subsidence over deep solution mined storage cavern field. In: International conference on case histories in geotechnical engineering Nguyen MD, Braham S, Durup JG (1993) Surface subsidence over deep solution mined storage cavern field. In: International conference on case histories in geotechnical engineering
Zurück zum Zitat Nieland J, Ratingen J (2006) Geomechanical evaluation of two gulf coast natural gas storage caverns. In: Solution Mining Research Institute, SMRI Nieland J, Ratingen J (2006) Geomechanical evaluation of two gulf coast natural gas storage caverns. In: Solution Mining Research Institute, SMRI
Zurück zum Zitat Nova R, Castellanza R, Tamagnini C (2003) A constitutive model for bonded geomaterials subject to mechanical and/or chemical degradation. Int J Numer Anal Methods Geomech 27:705–732CrossRef Nova R, Castellanza R, Tamagnini C (2003) A constitutive model for bonded geomaterials subject to mechanical and/or chemical degradation. Int J Numer Anal Methods Geomech 27:705–732CrossRef
Zurück zum Zitat Phoon KK, Ching J (2014) Risk and reliability in geotechnical engineering. CRC Press, Boca Raton Phoon KK, Ching J (2014) Risk and reliability in geotechnical engineering. CRC Press, Boca Raton
Zurück zum Zitat Phoon KK, Kulhawy FH (1999) Characterization of geotechnical variability. Can Geotech J 36(4):612–624CrossRef Phoon KK, Kulhawy FH (1999) Characterization of geotechnical variability. Can Geotech J 36(4):612–624CrossRef
Zurück zum Zitat Pollak R (1994) History of first U.S. compressed-air energy storage (caes) plant (110mw, 26h), volume 2: construction. Final report, Electric Power Research institute Pollak R (1994) History of first U.S. compressed-air energy storage (caes) plant (110mw, 26h), volume 2: construction. Final report, Electric Power Research institute
Zurück zum Zitat Popp T, Kern H (1998) Ultrasonic wave velocities, gas permeability and porosity in natural and granular rock salt. Phys Chem Earth 23(3):373–378CrossRef Popp T, Kern H (1998) Ultrasonic wave velocities, gas permeability and porosity in natural and granular rock salt. Phys Chem Earth 23(3):373–378CrossRef
Zurück zum Zitat Popp T, Kern H, Schulze O (2001) Evolution of dilatancy and permeability in rock salt during hydrostatic compaction and triaxial deformation. J Geophys Res Sol Earth (1978–2012) 106(B3):4061–4078CrossRef Popp T, Kern H, Schulze O (2001) Evolution of dilatancy and permeability in rock salt during hydrostatic compaction and triaxial deformation. J Geophys Res Sol Earth (1978–2012) 106(B3):4061–4078CrossRef
Zurück zum Zitat Powell MJD (1987) Radial basis functions for multivariable interpolation: a review, in algorithms for approximation. In: Mason JC, Cox MG (eds) Algorithms for approximation, vol 3. Clarendon Press, New York, pp 143–167 Powell MJD (1987) Radial basis functions for multivariable interpolation: a review, in algorithms for approximation. In: Mason JC, Cox MG (eds) Algorithms for approximation, vol 3. Clarendon Press, New York, pp 143–167
Zurück zum Zitat Pudewills A (2007) Modeling of hydro-mechanical behavior of rock salt in the near field of repository excavation. In: 6th conference on the mechanical behavior of salt-SALTMECH6, Hannover, Germany, 22–25 May 2007 Pudewills A (2007) Modeling of hydro-mechanical behavior of rock salt in the near field of repository excavation. In: 6th conference on the mechanical behavior of salt-SALTMECH6, Hannover, Germany, 22–25 May 2007
Zurück zum Zitat Ratigan J, Yogt T (1993) Lpg storage at Mont Belvieu, Texas: a case history. SPE Adv Technol Ser 1:204–211CrossRef Ratigan J, Yogt T (1993) Lpg storage at Mont Belvieu, Texas: a case history. SPE Adv Technol Ser 1:204–211CrossRef
Zurück zum Zitat Ratigan WR, Hannum WD (1980) Mechanical behavior of new mexico rock salt in triaxial compression up to 200 °C. J Geophys Res 85:891–900CrossRef Ratigan WR, Hannum WD (1980) Mechanical behavior of new mexico rock salt in triaxial compression up to 200 °C. J Geophys Res 85:891–900CrossRef
Zurück zum Zitat Roberts LA, Buchholz SA, Mellegard KD, Düsterloh U (2015) Cyclic loading effects on the creep and dilation of salt rock. Rock Mech Rock Eng 48(6):2581–2590CrossRef Roberts LA, Buchholz SA, Mellegard KD, Düsterloh U (2015) Cyclic loading effects on the creep and dilation of salt rock. Rock Mech Rock Eng 48(6):2581–2590CrossRef
Zurück zum Zitat Saltelli A, Tarantola S, Campolongo F, Ratto M (2004) Sensitivity analysis in practice: a guide to assessing scientific models. Wiley, New York Saltelli A, Tarantola S, Campolongo F, Ratto M (2004) Sensitivity analysis in practice: a guide to assessing scientific models. Wiley, New York
Zurück zum Zitat Saltelli A, Andres T, Ratto M (2008) Global sensitivity analysis. The primer. Wiley, New York Saltelli A, Andres T, Ratto M (2008) Global sensitivity analysis. The primer. Wiley, New York
Zurück zum Zitat Sane S, Desai C, Jenson J, Contractor D, Carlson A, Clark P (2008) Disturbed state constitutive modeling of two pleistocene tills. Quat Sci Rev 27:267–283CrossRef Sane S, Desai C, Jenson J, Contractor D, Carlson A, Clark P (2008) Disturbed state constitutive modeling of two pleistocene tills. Quat Sci Rev 27:267–283CrossRef
Zurück zum Zitat Schanz T, Zimmerer MM, Datcheva M, Meier J (2006) Identification of constitutive parameters for numerical models via inverse approach. Felsbau 24(2):11–21 Schanz T, Zimmerer MM, Datcheva M, Meier J (2006) Identification of constitutive parameters for numerical models via inverse approach. Felsbau 24(2):11–21
Zurück zum Zitat Schenkendorf R, Kremling A, Mangold M (2009) Optimal experimental design and model selection by a sigma point approach. IET Syst Biol 3:10–23CrossRef Schenkendorf R, Kremling A, Mangold M (2009) Optimal experimental design and model selection by a sigma point approach. IET Syst Biol 3:10–23CrossRef
Zurück zum Zitat Schulze O, Popp T, Kern H (2001) Development of damage and permeability in deforming rock salt. Eng Geol 61:163–180CrossRef Schulze O, Popp T, Kern H (2001) Development of damage and permeability in deforming rock salt. Eng Geol 61:163–180CrossRef
Zurück zum Zitat Sobol’ IM (1990) On sensitivity estimation for nonlinear mathematical models. Mat Modelirovanie 2(1):112–118 Sobol’ IM (1990) On sensitivity estimation for nonlinear mathematical models. Mat Modelirovanie 2(1):112–118
Zurück zum Zitat Thomas R, Gehle R (2000) A brief history of salt cavern use. In: Proceedings of 8th world salt symposium, pp 207–2014 Thomas R, Gehle R (2000) A brief history of salt cavern use. In: Proceedings of 8th world salt symposium, pp 207–2014
Zurück zum Zitat Ucinski D (2005) Optimal measurement methods for distributed parameter system identification. CRC Press, Boca Raton Ucinski D (2005) Optimal measurement methods for distributed parameter system identification. CRC Press, Boca Raton
Zurück zum Zitat Urai J, Spiers C (2007) The effects of grain boundary water on deformation mechanisms and rheology of rock salt during long-term deformation. In: 6th conference on the mechanical behavior of salt-SALTMECH6, Hannover, Germany, 22–25 May 2007 Urai J, Spiers C (2007) The effects of grain boundary water on deformation mechanisms and rheology of rock salt during long-term deformation. In: 6th conference on the mechanical behavior of salt-SALTMECH6, Hannover, Germany, 22–25 May 2007
Zurück zum Zitat VanSambeek LL, Ratigan JL, Hansen FD (1993) Dilatancy of rock salt in laboratory tests. Int J Rock Mech Min Sci 30(7):735–738CrossRef VanSambeek LL, Ratigan JL, Hansen FD (1993) Dilatancy of rock salt in laboratory tests. Int J Rock Mech Min Sci 30(7):735–738CrossRef
Zurück zum Zitat Voyiadjis GZ, Ju JWW, Chaboche JL (1998) Damage mechanics in engineering materials. Elsevier, Amsterdam Voyiadjis GZ, Ju JWW, Chaboche JL (1998) Damage mechanics in engineering materials. Elsevier, Amsterdam
Zurück zum Zitat Wang L, Hwang JH, Juang CH, Atamturktur S (2013a) Reliability-based design of rock slopes a new perspective on design robustness. Eng Geol 154:56–63CrossRef Wang L, Hwang JH, Juang CH, Atamturktur S (2013a) Reliability-based design of rock slopes a new perspective on design robustness. Eng Geol 154:56–63CrossRef
Zurück zum Zitat Wang T, Yan X, Yang H, Yang X, Jiang T, Zhao S (2013b) A new shape design method of salt cavern used as underground gas storage. Appl Energy J 104:50–61CrossRef Wang T, Yan X, Yang H, Yang X, Jiang T, Zhao S (2013b) A new shape design method of salt cavern used as underground gas storage. Appl Energy J 104:50–61CrossRef
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 Xing W, Zhao J, Hou Z, Were P, Li M, Wang G (2015) Horizontal natural gas caverns in thin-bedded rock salt formations. Env Earth Sci 73(11):6973–6985CrossRef Xing W, Zhao J, Hou Z, Were P, Li M, Wang G (2015) Horizontal natural gas caverns in thin-bedded rock salt formations. Env Earth Sci 73(11):6973–6985CrossRef
Zurück zum Zitat Zhang G, Wu Y, Wang L, Zhang K, Daemen JJ, Liu W (2015) Time-dependent subsidence prediction model and influence factor analysis for underground gas storages in bedded salt formations. Eng Geol 187:156–189CrossRef Zhang G, Wu Y, Wang L, Zhang K, Daemen JJ, Liu W (2015) Time-dependent subsidence prediction model and influence factor analysis for underground gas storages in bedded salt formations. Eng Geol 187:156–189CrossRef
Metadaten
Titel
Concept for an integral approach to explore the behavior of rock salt caverns under thermo-mechanical cyclic loading in energy storage systems
verfasst von
Elham Mahmoudi
Kavan Khaledi
Achim von Blumenthal
Diethard König
Tom Schanz
Publikationsdatum
01.07.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Environmental Earth Sciences / Ausgabe 14/2016
Print ISSN: 1866-6280
Elektronische ISSN: 1866-6299
DOI
https://doi.org/10.1007/s12665-016-5850-8

Weitere Artikel der Ausgabe 14/2016

Environmental Earth Sciences 14/2016 Zur Ausgabe