Geomechanics and Engineering

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Creep properties and damage model for salt rock under low-frequency cyclic loading

  • Wang, Jun-Bao (School of Civil Engineering, Xi'an University of Architecture and Technology) ;
  • Liu, Xin-Rong (School of Civil Engineering, Xi'an University of Architecture and Technology) ;
  • Liu, Xiao-Jun (School of Civil Engineering, Xi'an University of Architecture and Technology) ;
  • Huang, Ming (School of Civil Engineering, Fuzhou University)
  • Received : 2014.05.23
  • Accepted : 2014.08.06
  • Published : 2014.11.25
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Abstract

Triaxial compression creep tests were performed on salt rock samples using cyclic confining pressure with a static axial pressure. The test results show that, up to a certain time, changes in the confining pressure have little influence on creep properties of salt rock, and the axial creep curve is smooth. After this point, the axial creep curve clearly fluctuates with the confining pressure, and is approximately a straight line both when the confining pressure decreases and when it increases within one cycle period. The slope of these lines differs: it is greater when the confining pressure decreases than when it increases. In accordance with rheology model theory, axial creep equations were deduced for Maxwell and Kelvin models under cyclic loading. These were combined to establish an axial creep equation for the Burgers model. We supposed that damage evolution follows an exponential law during creep process and replaced the apparent stress in creep equation for the Burgers model with the effective stress, the axial creep damage equation for the Burgers model was obtained. The model suitability was verified using creep test results for salt rock. The fitting curves are in excellent agreement with the test curves, so the proposed model can well reflect the creep behavior of salt rock under low-frequency cyclic loading. In particular, it reflects the fluctuations in creep deformation and creep rate as the confining pressure increasing and decreasing under different cycle periods.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

References

  1. Asanov, V.A. and Pan'kov, I.L. (2004), "Deformation of salt rock joints in time", J. Min. Sci., 40(4), 355-359. https://doi.org/10.1007/s10913-004-0017-5
  2. Chan, K.S., Brodsky, N.S., Fossum, A.F., Bodner, S.R. and Munson, D.E. (1994), "Damage-induced nonassociated inelastic flow in rock salt", Int. J. Plasticity, 10(6), 623-642. https://doi.org/10.1016/0749-6419(94)90026-4
  3. Chan, K.S., Munson, D.E., Bodner, S.R. and Fossum, A.F. (1996), "Cleavage and creep fracture of rock salt", Acta Mater., 44(9), 3353-3365.
  4. Chan, K.S., Bodner, S.R., Fossum, A.F. and Munson, D.E. (1997), "A damage mechanics treatment of creep failure in rock salt", Int. J. Damage Mech., 6(2), 121-152. https://doi.org/10.1177/105678959700600201
  5. Chen, F., Yang, C.H. and Bai, S.W. (2007), "Investigation on optimized gas recovery velocity of natural gas storage in salt rock layer by numerical simulation", Rock Soil Mech., 28(1), 57-62. [In Chinese]
  6. Chopra, P.N. (1997), "High-temperature transient creep in olivine rocks", Tectonophysics, 279(1-4), 93-111. https://doi.org/10.1016/S0040-1951(97)00134-0
  7. Dubey, R.K. and Gairola, V.K. (2008), "Influence of structural anisotropy on creep of rock salt from Simla Himalaya, India: An experimental approach", J. Struct. Geol., 30(6), 710-718. https://doi.org/10.1016/j.jsg.2008.01.007
  8. Guo, Y.T., Yang, C.H. and Mao, H.J. (2012), "Mechanical properties of Jintan mine rock salt under complex stress paths", Int. J. Rock Mech. Min. Sci., 56, 54-61.
  9. Heusermann, S., Rolfs, O. and Schmidt, U. (2003), "Nonlinear finite-element analysis of solution mined storage caverns in rock salt using the LUBBY2 constitutive model", Comput. Struct., 81(8-11), 629-638. https://doi.org/10.1016/S0045-7949(02)00415-7
  10. Jiang, Y.Z., Xu, W.Y. and Wang, R.H. (2011), "Investigation on rheological mechanical properties of hornblende plagioclase gneiss", Rock Soil Mech., 32(Supp.1), 339-345. [In Chinese]
  11. Jin, J. and Cristescu, N.D. (1998), "An elastic/viscoplastic model for transient creep of rock salt", Int. J. Plasticity, 14(1-3), 85-107. https://doi.org/10.1016/S0749-6419(97)00042-9
  12. Lemaitre, J. (1984), "How to use damage mechanics", Nucl. Eng. Des., 80(2), 233-245. https://doi.org/10.1016/0029-5493(84)90169-9
  13. Liang, W.G., Yang, C.H., Zhao, Y.S., Dusseault, M.B. and Liu, J. (2007), "Experimental investigation of mechanical properties of bedded salt rock", Int. J. Rock Mech. Min. Sci., 44(3), 400-411. https://doi.org/10.1016/j.ijrmms.2006.09.007
  14. Liang, W.G., Zhao, Y.S., Xu, S.G. and Dusseault, M.B. (2011), "Effect of strain rate on the mechanical properties of salt rock", Int. J. Rock Mech. Min. Sci., 48(1), 161-167. https://doi.org/10.1016/j.ijrmms.2010.06.012
  15. Munson, D.E. (1997), "Constitutive model of creep in rock salt applied to underground room closure", Int. J. Rock Mech. Min. Sci., 34(2), 233-247. https://doi.org/10.1016/S0148-9062(96)00047-2
  16. Nazary Moghadama, S., Mirzabozorg, H. and Noorzad, A. (2013), "Modeling time-dependent behavior of gas caverns in rock salt considering creep, dilatancy and failure", Tunn. Undergr. Sp. Tech., 33, 171-185. https://doi.org/10.1016/j.tust.2012.10.001
  17. Slizowski, J. and Lankof, L. (2003), "Salt-mudstones and rock-salt suitabilities for radioactive-waste storage systems: rheological properties", Appl. Energ., 75(1-2), 137-144. https://doi.org/10.1016/S0306-2619(03)00026-6
  18. Wang, G.J., Guo, K.M., Christianson, M. and Konietzky, H. (2011), "Deformation characteristics of rock salt with mudstone interbeds surrounding gas and oil storage cavern", Int. J. Rock Mech. Min. Sci., 48(6), 871-877. https://doi.org/10.1016/j.ijrmms.2011.06.012
  19. Wang, T.T., Yan, X.Z., Yang, H.L., Yang, X.J., Jiang, T.T. and Zhao, S. (2013), "A new shape design method of salt cavern used as underground gas storage", Appl. Energ., 104, 50-61. https://doi.org/10.1016/j.apenergy.2012.11.037
  20. Weidinger, P., Hampel, A., Blum, W. and Hunsche, U. (1997), "Creep behaviour of natural rock salt and its description with the composite model", Mater. Sci. Eng. A, 234-236, 646-648. https://doi.org/10.1016/S0921-5093(97)00316-X
  21. Yahya, O.M.L., Aubertin, M. and Julien, M.R. (2000), "A unified representation of the plasticity, creep and relaxation behavior of rock salt", Int. J. Rock Mech. Min. Sci., 37(5), 787-800. https://doi.org/10.1016/S1365-1609(00)00016-2
  22. Yang, S.Q. and Cheng, L. (2011), "Non-stationary and nonlinear visco-elastic shear creep model for shale", Int. J. Rock Mech. Min. Sci., 48(6), 1011-1020. https://doi.org/10.1016/j.ijrmms.2011.06.007
  23. Yang, C.H., Daemen, J.J.K. and Yin, J.H. (1999), "Experimental investigation of creep behavior of salt rock", Int. J. Rock Mech. Min. Sci., 36(2), 233-242. https://doi.org/10.1016/S0148-9062(98)00187-9
  24. Yang, C.H., Jing, W.J., Daemen, J.J.K., Zhang, G.M. and Du, C. (2013), "Analysis of major risks associated with hydrocarbon storage caverns in bedded salt rock", Reliab. Eng. Syst. Safety, 113, 94-111. https://doi.org/10.1016/j.ress.2012.12.017
  25. Zhang, Z.L., Xu, W.Y. and Wang, W. (2011), "Study of Triaxial creep tests and its nonlinear viscoelastoplastic creep model of rock from compressive zone of dam foundation in Xiangjiaba hydropower station", Chinese J. Rock Mech. Eng., 30(1), 132-140. [In Chinese]
  26. Zhang, H.B., Wang, Z.Y., Zheng, Y.L., Duan, P.J. and Ding, S.L. (2012), "Study on tri-axial creep experiment and constitutive relation of different rock salt", Safety Sci., 50(4), 801-805. https://doi.org/10.1016/j.ssci.2011.08.030
  27. Zhou, H.W., Wang, C.P., Han, B.B. and Duan, Z.Q. (2011), "A creep constitutive model for salt rock based on fractional derivatives", Int. J. Rock Mech. Min. Sci., 48(1), 116-121. https://doi.org/10.1016/j.ijrmms.2010.11.004
  28. Zhou, H.W., Wang, C.P., Duan, Z.Q., Zhang, M. and Liu, J.F. (2012), "Time-based fractional derivative approach to creep constitutive model of salt rock", Scientia Sinica Physica, Mechanica & Astronomica, 42(3), 310-318. [In Chinese] https://doi.org/10.1360/132011-616
  29. Zhou, H.W., Wang, C.P., Mishnaevsky Jr, L., Duan, Z.Q. and Ding, J.Y. (2013), "A fractional derivative approach to full creep regions in salt rock", Mech. Time-Depend. Mater., 17(3), 413-425. https://doi.org/10.1007/s11043-012-9193-x

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