Skip to main content
Erschienen in: Geotechnical and Geological Engineering 2/2015

01.04.2015 | Original paper

A Model of Damage and Healing Coupling Halite Thermo-mechanical Behavior to Microstructure Evolution

verfasst von: C. Zhu, C. Arson

Erschienen in: Geotechnical and Geological Engineering | Ausgabe 2/2015

Einloggen

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

search-config
loading …

Abstract

Creep processes in halite (salt rock) include glide, cross-slip, diffusion and dynamic recrystallization. Diffusive mass transfer (DMT) can result in crack rebonding, and mechanical stiffness recovery. Crack rebonding driven by DMT occurs within a few days at room temperature and low pressure. DMT is enhanced at higher temperatures, which could be beneficial for the sustainabilty of geological storage facilities in salt mines. On the one hand, visco-plastic laws relating creep microscopic processes to microstructure changes are empirical. On the other hand, theoretical models of damage and healing disconnect thermodynamic variables from their physical meaning. The proposed model enriches the framework of continuum damage mechanics with fabric descriptors. In order to infer the form of fabric tensors from microstructure observation, creep tests were carried out on granular salt under constant stress and humidity conditions. The evolution of net damage is governed by a diffusion equation, in which the characteristic time scales with the typical size of halite crystals, and the diffusion coefficient is a function of temperature. A stress path comprising a tensile loading, a compressive unloading, a creep–healing stage and a reloading was simulated. Macroscopic and microscopic model predictions highlight the increased efficiency of healing with time and temperature. The model presented in this paper is expected to improve the fundamental understanding of damage and healing in rocks at both macroscopic and microscopic levels, and the long-term assessment of geological storage facilities.

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!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat Abràmoff MD, Magalhães PJ, Ram SJ (2004) Image processing with imagej. Biophotonics Int 11(7):36–42 Abràmoff MD, Magalhães PJ, Ram SJ (2004) Image processing with imagej. Biophotonics Int 11(7):36–42
Zurück zum Zitat Arson C, Gatmiri B (2009) A mixed damage model for unsaturated porous media. Comptes Rendus Mécanique 337(2):68–74CrossRef Arson C, Gatmiri B (2009) A mixed damage model for unsaturated porous media. Comptes Rendus Mécanique 337(2):68–74CrossRef
Zurück zum Zitat Arson C, Gatmiri B (2012) Thermo-hydro-mechanical modeling of damage in unsaturated porous media: theoretical framework and numerical study of the edz. Int J Numer Anal Methods Geomech 36:272–306CrossRef Arson C, Gatmiri B (2012) Thermo-hydro-mechanical modeling of damage in unsaturated porous media: theoretical framework and numerical study of the edz. Int J Numer Anal Methods Geomech 36:272–306CrossRef
Zurück zum Zitat Arson C, Pereira JM (2013) Influence of damage on pore size distribution and permeability of rocks. Int J Numer Anal Methods Geomech 37:810–831CrossRef Arson C, Pereira JM (2013) Influence of damage on pore size distribution and permeability of rocks. Int J Numer Anal Methods Geomech 37:810–831CrossRef
Zurück zum Zitat Arson C, Xu H, Chester F (2012) On the definition of damage in time-dependent healing models for salt rock. Géotech Lett 2(April–June):67–71 Arson C, Xu H, Chester F (2012) On the definition of damage in time-dependent healing models for salt rock. Géotech Lett 2(April–June):67–71
Zurück zum Zitat Bérest P, Bergues J, Brouard B, Durup J, Guerber B (2001) A salt cavern abandonment test. Int J Rock Mech Min Sci 38(3):357–368CrossRef Bérest P, Bergues J, Brouard B, Durup J, Guerber B (2001) A salt cavern abandonment test. Int J Rock Mech Min Sci 38(3):357–368CrossRef
Zurück zum Zitat Berest P, Brouard B, Karimi-Jafari M, Van Sambeek L (2007) Transient behavior of salt caverns—interpretation of mechanical integrity tests. Int J Rock Mech Min Sci 44(5):767–786CrossRef Berest P, Brouard B, Karimi-Jafari M, Van Sambeek L (2007) Transient behavior of salt caverns—interpretation of mechanical integrity tests. Int J Rock Mech Min Sci 44(5):767–786CrossRef
Zurück zum Zitat Brodsky N, Munson D (1994) Proc First N Am Rock Mech Symp. In: Nelson P, Laubach S (eds) Proc First N Am Rock Mech Symp, pp 731–738 Brodsky N, Munson D (1994) Proc First N Am Rock Mech Symp. In: Nelson P, Laubach S (eds) Proc First N Am Rock Mech Symp, pp 731–738
Zurück zum Zitat Chaboche JL (1992) Damage induced anisotropy: on the difficulties associated with the active/passive unilateral condition. Int J Damage Mech 1(2):148–171CrossRef Chaboche JL (1992) Damage induced anisotropy: on the difficulties associated with the active/passive unilateral condition. Int J Damage Mech 1(2):148–171CrossRef
Zurück zum Zitat Chan K, Bodner S, Munson D (1998) Recovery and healing of damage in wipp salt. Int J Damage Mech 7(2):143–166CrossRef Chan K, Bodner S, Munson D (1998) Recovery and healing of damage in wipp salt. Int J Damage Mech 7(2):143–166CrossRef
Zurück zum Zitat Chan K, Bodner S, Munson D (2001) Permeability of WIPP salt during damage evolution and healing. Int J Damage Mech 10(4):347–375CrossRef Chan K, Bodner S, Munson D (2001) Permeability of WIPP salt during damage evolution and healing. Int J Damage Mech 10(4):347–375CrossRef
Zurück zum Zitat Collins I, Houlsby G (1997) Application of thermomechanical principles to the modelling of geotechnical materials. Proc R Soc Lond Ser A Math Phys Eng Sci 453(1964):1975–2001CrossRef Collins I, Houlsby G (1997) Application of thermomechanical principles to the modelling of geotechnical materials. Proc R Soc Lond Ser A Math Phys Eng Sci 453(1964):1975–2001CrossRef
Zurück zum Zitat Cosenza P, Ghoreychi M, Bazargan-Sabet B, De Marsily G (1999) In situ rock salt permeability measurement for long term safety assessment of storage. Int J Rock Mech Min Sci 36(4):509–526CrossRef Cosenza P, Ghoreychi M, Bazargan-Sabet B, De Marsily G (1999) In situ rock salt permeability measurement for long term safety assessment of storage. Int J Rock Mech Min Sci 36(4):509–526CrossRef
Zurück zum Zitat Dragon A, Halm D, Désoyer T (2000) Anisotropic damage in quasi-brittle solids: modelling, computational issues and applications. Comput Methods Appl Mech Eng 183(3):331–352CrossRef Dragon A, Halm D, Désoyer T (2000) Anisotropic damage in quasi-brittle solids: modelling, computational issues and applications. Comput Methods Appl Mech Eng 183(3):331–352CrossRef
Zurück zum Zitat Fam M, Santamarina J, Dusseault M (1998) Wave-based monitoring processes in granular salt. J Environ Eng Geophys 3(1):15–26CrossRef Fam M, Santamarina J, Dusseault M (1998) Wave-based monitoring processes in granular salt. J Environ Eng Geophys 3(1):15–26CrossRef
Zurück zum Zitat Fuenkajorn K, Phueakphum D (2011) Laboratory assessment of healing of fractures in rock salt. Bull Eng Geol Environ 70(4):665–672CrossRef Fuenkajorn K, Phueakphum D (2011) Laboratory assessment of healing of fractures in rock salt. Bull Eng Geol Environ 70(4):665–672CrossRef
Zurück zum Zitat Halm D, Dragon A (1998) An anisotropic model of damage and frictional sliding for brittle materials. Eur J Mech Solids 17(3):439–460CrossRef Halm D, Dragon A (1998) An anisotropic model of damage and frictional sliding for brittle materials. Eur J Mech Solids 17(3):439–460CrossRef
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 U, Hampel A (1999) Rock salt—the mechanical properties of the host rock material rock salt—the mechanical properties of the host rock material for a radioactive waste repository. Eng Geol 52(3–4):271–291CrossRef Hunsche U, Hampel A (1999) Rock salt—the mechanical properties of the host rock material rock salt—the mechanical properties of the host rock material for a radioactive waste repository. Eng Geol 52(3–4):271–291CrossRef
Zurück zum Zitat Kachanov M (1992) Effective elastic properties of cracked solids: critical review of some basic concepts. Appl Mech Rev 45(8):304–335CrossRef Kachanov M (1992) Effective elastic properties of cracked solids: critical review of some basic concepts. Appl Mech Rev 45(8):304–335CrossRef
Zurück zum Zitat Kessler M, White S (2001) Self-activated healing of delamination damage in woven composites. Compos Part A Appl Sci Manuf 32(5):683–699CrossRef Kessler M, White S (2001) Self-activated healing of delamination damage in woven composites. Compos Part A Appl Sci Manuf 32(5):683–699CrossRef
Zurück zum Zitat Kim HM, Rutqvist J, Ryu DW, Choi BH, Sunwoo C, Song WK (2012) Exploring the concept of compressed air energy storage (caes) in lined rock caverns at shallow depth: a modeling study of air tightness and energy balance. Appl Energy 92:653–667CrossRef Kim HM, Rutqvist J, Ryu DW, Choi BH, Sunwoo C, Song WK (2012) Exploring the concept of compressed air energy storage (caes) in lined rock caverns at shallow depth: a modeling study of air tightness and energy balance. Appl Energy 92:653–667CrossRef
Zurück zum Zitat Kwon S, Wilson J (1999) Deformation mechanism of the underground excavations at the WIPP site. Rock Mech Rock Eng 32(2):101–122CrossRef Kwon S, Wilson J (1999) Deformation mechanism of the underground excavations at the WIPP site. Rock Mech Rock Eng 32(2):101–122CrossRef
Zurück zum Zitat Li G, Uppu N (2010) Shape memory polymer based self-healing syntactic foam: 3-d confined thermomechanical characterization. Compos Sci Technol 70(9):1419–1427CrossRef Li G, Uppu N (2010) Shape memory polymer based self-healing syntactic foam: 3-d confined thermomechanical characterization. Compos Sci Technol 70(9):1419–1427CrossRef
Zurück zum Zitat Lux K, Eberth S (2007) Fundamental and first application of a new healing model for rock salt. Basic Appl Salt Mech, 129–138 Lux K, Eberth S (2007) Fundamental and first application of a new healing model for rock salt. Basic Appl Salt Mech, 129–138
Zurück zum Zitat Lux K, Düsterloh U, Hou Z (2000) Increasing the profitability of storage caverns by means of a new dimensioning concept (i). Erdöl Erdgas Kohle 118:294–300 Lux K, Düsterloh U, Hou Z (2000) Increasing the profitability of storage caverns by means of a new dimensioning concept (i). Erdöl Erdgas Kohle 118:294–300
Zurück zum Zitat Maleki K (2004) Modélibation numérique du couplage entre l’endommagement et la perméabilité des roches. application à l’érude des ouvrages de stockage souterrain. PhD thesis, Ecole Nationale des Ponts et Chaussées Maleki K (2004) Modélibation numérique du couplage entre l’endommagement et la perméabilité des roches. application à l’érude des ouvrages de stockage souterrain. PhD thesis, Ecole Nationale des Ponts et Chaussées
Zurück zum Zitat Mapother D, Crooks HN, Maurer R (1950) Self-diffusion of sodium in sodium chloride and sodium bromide. J Chem Phys 18:1231CrossRef Mapother D, Crooks HN, Maurer R (1950) Self-diffusion of sodium in sodium chloride and sodium bromide. J Chem Phys 18:1231CrossRef
Zurück zum Zitat Miao S, Wang M, Schreyer H (1995) Constitutive Models for healing of material with application to compaction of crushed rock-salt. J Eng Mech-ASCE 121(10):1122–1129CrossRef Miao S, Wang M, Schreyer H (1995) Constitutive Models for healing of material with application to compaction of crushed rock-salt. J Eng Mech-ASCE 121(10):1122–1129CrossRef
Zurück zum Zitat O’Connell RJ, Budiansky B (1974) Seismic velocities in dry and saturated cracked solids. J Geophys Res 79(35):5412–5426CrossRef O’Connell RJ, Budiansky B (1974) Seismic velocities in dry and saturated cracked solids. J Geophys Res 79(35):5412–5426CrossRef
Zurück zum Zitat Schulze O (2007) Investigations on damage and healing of rock salt. Mechanical Behavior of Salt-Understanding of THMC Processes in Salt pp 33–43 Schulze O (2007) Investigations on damage and healing of rock salt. Mechanical Behavior of Salt-Understanding of THMC Processes in Salt pp 33–43
Zurück zum Zitat Senseny P, Hansen F, Russell J, Carter N, Handin J (1992) Mechanical behaviour of rock salt: phenomenology and micromechanisms. Int J Rock Mech Min Sci Geomech Abs 29(4):363–378CrossRef Senseny P, Hansen F, Russell J, Carter N, Handin J (1992) Mechanical behaviour of rock salt: phenomenology and micromechanisms. Int J Rock Mech Min Sci Geomech Abs 29(4):363–378CrossRef
Zurück zum Zitat Shao JF, Rudnicki J (2000) A microcrack-based continuous damage model for brittle geomaterials. Mech Mater 32(10):607–619CrossRef Shao JF, Rudnicki J (2000) A microcrack-based continuous damage model for brittle geomaterials. Mech Mater 32(10):607–619CrossRef
Zurück zum Zitat Succar S, Williams RH (2008) Compressed air energy storage: theory, resources, and applications for wind power. Princeton Environmental Institute Report 8 Succar S, Williams RH (2008) Compressed air energy storage: theory, resources, and applications for wind power. Princeton Environmental Institute Report 8
Zurück zum Zitat Swoboda G, Yang Q (1999) An energy-based damage model of geomaterials–I. Formulation and numerical results. International J Solids Struct 36(12):1719–1734CrossRef Swoboda G, Yang Q (1999) An energy-based damage model of geomaterials–I. Formulation and numerical results. International J Solids Struct 36(12):1719–1734CrossRef
Zurück zum Zitat Voyiadjis GZ, Shojaei A, Li G (2011) A thermodynamic consistent damage and healing model for self healing materials. Int J Plast 27(7):1025–1044CrossRef Voyiadjis GZ, Shojaei A, Li G (2011) A thermodynamic consistent damage and healing model for self healing materials. Int J Plast 27(7):1025–1044CrossRef
Zurück zum Zitat Weertman J (1955) Theory of steady-state creep based on dislocation climb. J Appl Phys 26(10):1213–1217CrossRef Weertman J (1955) Theory of steady-state creep based on dislocation climb. J Appl Phys 26(10):1213–1217CrossRef
Zurück zum Zitat Wexler A, Hasegawa S (1954) Relative humidity-temperature relationships of some saturated salt solutions in the temperature range \(\text{ o }\,^{\circ }\) to \(50\,^{\circ }\) c. J Res Natl Bur Stand 53(1):19–26CrossRef Wexler A, Hasegawa S (1954) Relative humidity-temperature relationships of some saturated salt solutions in the temperature range \(\text{ o }\,^{\circ }\) to \(50\,^{\circ }\) c. J Res Natl Bur Stand 53(1):19–26CrossRef
Zurück zum Zitat Yow J, Hunt J (2002) Coupled processes in rock mass performance with emphasis on nuclear waste isolation. Int J Rock Mech Min Sci 39(2):143–150CrossRef Yow J, Hunt J (2002) Coupled processes in rock mass performance with emphasis on nuclear waste isolation. Int J Rock Mech Min Sci 39(2):143–150CrossRef
Zurück zum Zitat Zhou H, Hu D, Zhang F, Shao J (2011) A thermo-plastic/viscoplastic damage model for geomaterials. Acta Mechanica Solida Sinica 24(3):195–208CrossRef Zhou H, Hu D, Zhang F, Shao J (2011) A thermo-plastic/viscoplastic damage model for geomaterials. Acta Mechanica Solida Sinica 24(3):195–208CrossRef
Zurück zum Zitat Zhu C, Arson C (2013) Modeling the influence of thermo-mechanical crack opening and closure on rock stiffness. In: Poromechanics V, pp 2526–2535 Zhu C, Arson C (2013) Modeling the influence of thermo-mechanical crack opening and closure on rock stiffness. In: Poromechanics V, pp 2526–2535
Metadaten
Titel
A Model of Damage and Healing Coupling Halite Thermo-mechanical Behavior to Microstructure Evolution
verfasst von
C. Zhu
C. Arson
Publikationsdatum
01.04.2015
Verlag
Springer International Publishing
Erschienen in
Geotechnical and Geological Engineering / Ausgabe 2/2015
Print ISSN: 0960-3182
Elektronische ISSN: 1573-1529
DOI
https://doi.org/10.1007/s10706-014-9797-9

Weitere Artikel der Ausgabe 2/2015

Geotechnical and Geological Engineering 2/2015 Zur Ausgabe