1887
Volume 25, Issue 3
  • ISSN: 1354-0793
  • E-ISSN:

Abstract

CO storage in salt rock is simulated with the finite element method (FEM), assuming constant gas pressure. The initial state is determined by simulating cavity excavation with a continuum damage mechanics (CDM) model. A micro–macro healing mechanics model is proposed to understand the time-dependent behaviour of halite during the storage phase. Salt is viewed as an assembly of porous spherical inclusions that contain three orthogonal planes of discontinuity. Eshelby's self-consistent theory is employed to homogenize the distribution of stresses and strains of the inclusions at the scale of a representative elementary volume (REV). Pressure solution results in inclusion deformation, considered as eigenstrain, and in inclusion stiffness changes. The micro–macro healing model is calibrated against Spiers’ oedometer test results, with uniformly distributed contact plane orientations. FEM simulations show that independent of salt diffusion properties, healing is limited by stress redistributions that occur around the cavity during pressure solution. In standard geological storage conditions, the displacements at the cavity wall occur within the first 5 days of storage and the damage is reduced by only 2%. These conclusions still need to be confirmed by simulations that account for changes in gas temperature and pressure over time. For now, the proposed modelling framework can be applied to optimize crushed salt back-filling materials and can be extended to other self-healing materials.

Companion

This article is accompanied by the following content:
Mechanics of salt systems: state of the field in numerical methods

Companion

This article is accompanied by the following content:
Investigating controls on salt movement in extensional settings using finite-element modelling

Companion

This article is accompanied by the following content:
Investigating controls on salt movement in extensional settings using finite-element modelling

Companion

This article is accompanied by the following content:
Mechanics of salt systems: state of the field in numerical methods
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2019-02-21
2024-04-19
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References

  1. Chan, K.S., Bodner, S.R. & Munson, D.E.
    1998. Recovery and healing of damage in WIPP salt. International Journal of Damage Mechanics, 7, 143–166, https://doi.org/10.1177/105678959800700204
    [Google Scholar]
  2. Digby, P.
    1981. The effective elastic moduli of porous granular rocks. Journal of Applied Mechanics, 48, 803–808, https://doi.org/10.1115/1.3157738
    [Google Scholar]
  3. Dormieux, L., Kondo, D. & Ulm, F.-J.
    2006. Microporomechanics. Wiley, New York.
    [Google Scholar]
  4. Dusseault, M.B., Bachu, S. & Rothenburg, L.
    2004. Sequestration of CO2 in Salt Caverns. Journal of Canadian Petroleum Technology, 43, 49–55, https://doi.org/10.2118/2002-237
    [Google Scholar]
  5. Dvorak, G.J.
    1992. Transformation field analysis of inelastic composite materials. Proceedings of the Royal Society of London, Series A: Mathematical and Physical Sciences, 437, 311–326, https://doi.org/10.1098/rspa.1992.0063
    [Google Scholar]
  6. Eshelby, J.D.
    1957. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society of London A: Mathematical and Physical Sciences, 241, 376–396, https://doi.org/10.1098/rspa.1957.0133
    [Google Scholar]
  7. Halm, D. & Dragon, A.
    1998. An anisotropic model of damage and frictional sliding for brittle materials. European Journal of Mechanics – A/Solids, 17, 439–460, https://doi.org/10.1016/S0997-7538(98)80054-5
    [Google Scholar]
  8. Hill, R.
    1965. Continuum micro-mechanics of elastoplastic polycrystals. Journal of the Mechanics and Physics of Solids, 13, 89–101, https://doi.org/10.1016/0022-5096(65)90023-2
    [Google Scholar]
  9. Houben, M., ten Hove, A., Peach, C.J. & Spiers, C.J.
    2013. Crack healing in rocksalt via diffusion in adsorbed aqueous films: Microphysical modelling versus experiments. Physics and Chemistry of the Earth, Parts A/B/C, 64, (Suppl. C), 95–104, https://doi.org/10.1016/j.pce.2012.10.001
    [Google Scholar]
  10. Kováčik, J.
    2008. Correlation between elastic modulus, shear modulus, poisson's ratio and porosity in porous materials. Advanced Engineering Materials, 10, 250–252, https://doi.org/10.1002/adem.200700266
    [Google Scholar]
  11. Kröner, E.
    1961. Zur plastischen verformung des vielkristalls. Acta Metallurgica, 9, 155–161, https://doi.org/10.1016/0001-6160(61)90060-8
    [Google Scholar]
  12. Lehner, F.K.
    1990. Thermodynamics of rock deformation by pressure solution. In: Barber, D.J. & Meredith, P.G. (eds) Deformation processes in minerals, ceramics and rocks, 296–333, Springer, Dordrecht, https://doi.org/10.1007/978-94-011-6827-4_12
    [Google Scholar]
  13. Mori, T. & Tanaka, K.
    1973. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica, 21, 571–574, https://doi.org/10.1016/0001-6160(73)90064-3
    [Google Scholar]
  14. Mura, T.
    1987. Micromechanics of Defects in Solids. Martinus Nijhoff, Dordrecht, The Netherlands.
    [Google Scholar]
  15. Overton, W.C. & Swim, R.T.
    1951. The Adiabatic Elastic Constants of Rock Salt. Physical review, 84, 758–762, https://doi.org/10.1103/PhysRev.84.758
    [Google Scholar]
  16. Paterson, M.S.
    1973. Nonhydrostatic thermodynamics and its geologic applications. Reviews of Geophysics, 11, 355–389, https://doi.org/10.1029/RG011i002p00355
    [Google Scholar]
  17. Pichler, B. & Hellmich, C.
    2010. Estimation of influence tensors for eigenstressed multiphase elastic media with nonaligned inclusion phases of arbitrary ellipsoidal shape. Journal of Engineering Mechanics, 136, 1043–1053, https://doi.org/10.1061/(ASCE)EM.1943-7889.0000138
    [Google Scholar]
  18. Pluymakers, A.M.H. & Spiers, C.J.
    2015. Compaction creep of simulated anhydrite fault gouge by pressure solution: theory v. experiments and implications for fault sealing. In: Faulkner, D.R., Mariani, E. & Mecklenburgh, J. (eds) Rock Deformation from Field, Experiments and Theory: A Volume in Honour of Ernie Rutter. Geological Society, London, Special Publications, 409, 107–124, https://doi.org/10.1144/SP409.6
    [Google Scholar]
  19. Raj, R.
    1982. Creep in polycrystalline aggregates by matter transport through a liquid phase. Journal of Geophysical Research: Solid Earth, 87, 4731–4739, https://doi.org/10.1029/JB087iB06p04731
    [Google Scholar]
  20. Rutter, E.H.
    1983. Pressure solution in nature, theory and experiment. Journal of the Geological Society, London, 140, 725–740, https://doi.org/10.1144/gsjgs.140.5.0725
    [Google Scholar]
  21. Schutjens, P. & Spiers, C.
    1999. Intergranular pressure solution in NaCl: Grain-to-grain contact experiments under the optical microscope. Oil & Gas Science and Technology, 54, 729–750, https://doi.org/10.2516/ogst:1999062
    [Google Scholar]
  22. SpiersC., Brzesowsky, R.
    , 1993. Densification behavior of wet granular salt: Theory versus experiment. In: Kakihana, H., Hardy, H.R., Jr, Hoshi, T. & Toyokura, K. (eds) Seventh Symposium on salt, Volume 1. Elsevier, Amsterdam, 83–92.
    [Google Scholar]
  23. Spiers, C.J., Schutjens, P.M.T.M., Brzesowsky, R.H., Peach, C.J., Liezenberg, J.L. & Zwart, H.J.
    1990. Experimental determination of constitutive parameters governing creep of rocksalt by pressure solution. In: Knipe, R.J. & Rutter, E.H. (eds) Deformation Mechanisms, Rheology and Tectonics. Geological Society, London, Special Publications, 54, 215–227, https://doi.org/10.1144/GSL.SP.1990.054.01.21
    [Google Scholar]
  24. Tsang, C.F., Bernier, F. & Davies, C.
    2005. Geohydromechanical processes in the Excavation Damaged Zone in crystalline rock, rock salt, and indurated and plastic clays – in the context of radioactive waste disposal. International Journal of Rock Mechanics And Mining Sciences, 42, 109–125, https://doi.org/10.1016/j.ijrmms.2004.08.003
    [Google Scholar]
  25. Urai, J.L., Schléder, Z., Spiers, C.J. & Kukla, P.A.
    2008. Flow and transport properties of salt rocks. In: Littke, R. (eds) Dynamics of Complex Intracontinental Basins: The Central European Basin System. Springer, Berlin, 277–290
    [Google Scholar]
  26. Urai, J.L. & Spiers, C.J.
    2007. The effect of grain boundary water on deformation mechanisms and rheology of rocksalt during long-term deformation. Proceedings of the 6th Conference on Mechanical Behavior of Salt, 22–25 May 2007, Hannover, Germany, 149–158.
    [Google Scholar]
  27. Yang, C., Daemen, J. & Yin, J.-H.
    1999. Experimental investigation of creep behavior of salt rock. International Journal of Rock Mechanics and Mining Sciences, 36, 233–242, https://doi.org/10.1016/S0148-9062(98)00187-9
    [Google Scholar]
  28. Zhang, X. & Spiers, C.J.
    2005. Compaction of granular calcite by pressure solution at room temperature and effects of pore fluid chemistry. International Journal of Rock Mechanics and Mining Sciences, 42, 950–960, https://doi.org/10.1016/j.ijrmms.2005.05.017
    [Google Scholar]
  29. Zhu, C. & Arson, C.
    2015. A model of damage and healing coupling halite thermomechanical behavior to microstructure evolution. Geotechnical and Geological Engineering, 33, 389–410, https://doi.org/10.1007/s10706-014-9797-9
    [Google Scholar]
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