Abstract
This paper investigates the fatigue damage of the wellbore cement sheath under different cyclic loading conditions. According to the irreversible principle of thermodynamics, a damage evolution model considering both tension and compression fatigue damage is established. With acoustic emission monitoring, uniaxial compression and Brazilian disc splitting cyclic loading failure tests were performed. Based on the test results, the damage theory is verified using the cumulative strain, Young’s modulus and acoustic emission characteristics. The research gives a numerical algorithm of the fatigue damage theory to develop as a constitutive equation. With reference to the structural and operating parameters of a gas storage salt cavern in Jintan, a casing-cement sheath-stratum numerical model is established. By inserting the damage constitutive equation into the numerical model calculation, the damage characteristics of the cement sheath are shown. Finally, the gas storage operating parameters that meet the requirements of high injection-production efficiency and long service life are given.
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Aeran A, Siriwardane SC, Mikkelsen O, Langen I (2017) A new nonlinear fatigue damage model based only on SN curve parameters. Int J Fatigue 103:327–341
Madenci E, Guven I (2015) The finite element method and applications in engineering using ANSYS®. Springer 1489975500
Arjomand E, Bennett T, Nguyen GD (2018) Evaluation of cement sheath integrity subject to enhanced pressure. J Pet Sci Eng 170:1–13
Bois A-P, Garnier A, Galdiolo G, Laudet J-B (2012) Use of a mechanistic model to forecast cement-sheath integrity. SPE Drill Complet 27:303–314. https://doi.org/10.2118/139668-pa
De Andrade J, Sangesland S (2016) Cement sheath failure mechanisms: numerical estimates to design for long-term well integrity. J Pet Sci Eng 147:682–698
Erarslan N, Williams D (2012) Investigating the effect of cyclic loading on the indirect tensile strength of rocks. Rock Mech Rock Eng 45:327–340
Fan J, Chen J, Jiang D, Ren S, Wu J (2016) Fatigue properties of rock salt subjected to interval cyclic pressure. Int J Fatigue 90:109–115
Ferjaoui A, Yue T, Wahab MA, Hojjati-Talemi R (2015) Prediction of fretting fatigue crack initiation in double lap bolted joint using continuum damage mechanics. Int J Fatigue 73:66–76
Guo B, Shan L, Jiang S, Li G, Lee J (2018) The maximum permissible fracturing pressure in shale gas wells for wellbore cement sheath integrity. Jnat Gas Sci Eng 56:324–332
He M, Huang B, Zhu C, Chen Y, Li N (2018) Energy dissipation-based method for fatigue life prediction of rock salt. Rock Mech Rock Eng 51:1447–1455
Ishida T et al (2017) ISRM suggested method for laboratory acoustic emission monitoring. Rock Mech Rock Eng 50:665–674
Kazemi A, Baghani M, Shahsavari H, Abrinia K, Baniassadi M (2017) Application of elastic-damage-heal model for self-healing concrete thick-walled cylinders through thermodynamics of irreversible processes. Int J Appl Mech 9:1750082
Kuanhai D, Yue Y, Yi H, Zhonghui L, Yuanhua L (2020) Experimental study on the integrity of casing-cement sheath in shale gas wells under pressure and temperature cycle loading. J Pet Sci Eng 195:107548
Lemaitre J (1987) Formulation and identification of damage kinetic constitutive equations. In: Krajcinovic D, Lemaitre J (eds) Continuum damage mechanics theory and application. Springer, Vienna, pp 37–89. https://doi.org/10.1007/978-3-7091-2806-0_2
Li Z, Sun J, Luo P, Lin L, Deng Z, Guo X (2017) Research on the law of mechanical damage-induced deformation of cement sheaths of a gas storage well. J Nat Gas Sci Eng 43:48–57
Li H, Yang D, Zhong Z, Sheng Y, Liu X (2018) Experimental investigation on the micro damage evolution of chemical corroded limestone subjected to cyclic loads. Int J Fatigue 113:23–32
Liu K, Gao D, Taleghani AD (2018a) Analysis on integrity of cement sheath in the vertical section of wells during hydraulic fracturing. J Petrol Sci Eng 168:370–379
Liu Y, Dai F, Dong L, Xu N, Feng P (2018b) Experimental investigation on the fatigue mechanical properties of intermittently jointed rock models under cyclic uniaxial compression with different loading parameters. Rock Mech Rock Eng 51:47–68
McDaniel J, Watters L, Shadravan A (2014) Cement sheath durability: increasing cement sheath integrity to reduce gas migration in the marcellus shale play. In: SPE Hydraulic Fracturing Technology Conference, 2014. SPE-168650-MS. https://doi.org/10.2118/168650-ms
Murakami S (2012) Continuum damage mechanics: a continuum mechanics approach to the analysis of damage and fracture, vol 185. Springer Science & Business Media
Peng K, Zhou J, Zou Q, Yan F (2019) Deformation characteristics of sandstones during cyclic loading and unloading with varying lower limits of stress under different confining pressures. Int J Fatigue 127:82–100
Pogacnik J, Elsworth D, O’Sullivan M, O’Sullivan J (2016) A damage mechanics approach to the simulation of hydraulic fracturing/shearing around a geothermal injection well. Comput Geotech 71:338–351
Shadravan A, Kias E, Lew R, Maharidge R (2015) Utilizing the Evolving Cement Mechanical Properties under Fatigue to Predict Cement Sheath Integrity. Paper presented at the SPE Kuwait Oil and Gas Show and Conference, Mishref, Kuwait, October 2015. https://doi.org/10.2118/175231-MS
Tecplot INC (2013) Tecplot 360 User's Manual Release 1. Bellevue, Washington, USA. https://www.scc.kit.edu/downloads/sca/tpum.pdf
Vaneghi RG, Thoeni K, Dyskin AV, Sharifzadeh M, Sarmadivaleh M (2020) Fatigue damage response of typical crystalline and granular rocks to uniaxial cyclic compression. Int J Fatigue 138:105667. https://doi.org/10.1016/j.ijfatigue.2020.105667
Voznesenskii AS, Krasilov MN, Kutkin YO, Tavostin MN, Osipov YV (2017) Features of interrelations between acoustic quality factor and strength of rock salt during fatigue cyclic loadings. Int J Fatigue 97:70–78
Vrålstad T, Skorpa R, Werner B (2019) Experimental studies on cement sheath integrity during pressure cycling. Paper presented at the SPE/IADC international drilling conference and exhibition. The Hague, The Netherlands, March 2019. https://doi.org/10.2118/194171-MS
Vu Q, Halm D, Nadot Y (2014) High cycle fatigue of 1045 steel under complex loading: Mechanisms map and damage modelling. Int J Damage Mech 23:377–410
Wang X, Qu Z, Dou Y, Ma W (2015) Loads of casing and cement sheath in the compressive viscoelastic salt rock. J Petrol Sci Eng 135:146–151
Wang T, Li J, Jing G, Zhang Q, Yang C, Daemen JJ (2019) Determination of the maximum allowable gas pressure for an underground gas storage salt cavern—a case study of Jintan, China. J Rock Mech Geotech Eng 11:251–262
Wei C, Jiyun S, Yunfei Y, Yong L, Deli G (2015) Calculation of micro-annulus size in casing-cement sheath-formation system under continuous internal casing pressure change. Pet Explor Dev 42:414–421
Xi Y, Li J, Tao Q, Guo B, Liu G (2020) Experimental and numerical investigations of accumulated plastic deformation in cement sheath during multistage fracturing in shale gas wells Journal of Petroleum Science and Engineering 187:106790
Xiao J-Q, Ding D-X, Jiang F-L, Xu G (2010) Fatigue damage variable and evolution of rock subjected to cyclic loading. Int J Rock Mech Min Sci 47:461–468. https://doi.org/10.1016/j.ijrmms.2009.11.003
Yang C et al (2015) Feasibility analysis of using abandoned salt caverns for large-scale underground energy storage in China. Appl Energy 137:467–481
Yao Y, He X, Keer LM, Fine ME (2015) A continuum damage mechanics-based unified creep and plasticity model for solder materials. Acta Mater 83:160–168
Yin F, Hou D, Liu W, Deng Y (2019) Novel assessment and countermeasure for micro-annulus initiation of cement sheath during injection/fracturing. Fuel 252:157–163
Yuan Z, Teodoriu C, Schubert J (2013) Low cycle cement fatigue experimental study and the effect on HPHT well integrity. J Pet Sci Eng 105:84–90
Zeng Y, Liu R, Li X, Zhou S, Tao Q, Lu P (2019) Cement sheath sealing integrity evaluation under cyclic loading using large-scale sealing evaluation equipment for complex subsurface settings. J Pet Sci Eng 176:811–820
Zhang M, Dou L, Konietzky H, Song Z, Huang S (2020) Cyclic fatigue characteristics of strong burst-prone coal: Experimental insights from energy dissipation, hysteresis and micro-seismicity. Int J Fatigue 133:105429
Zhou T, Dong S, Zhao G, Zhang R, Wu S, Zhu J (2018) An experimental study of fatigue behavior of granite under low-cycle repetitive compressive impacts. Rock Mech Rock Eng 51:3157–3166
Zhou S, Liu R, Zeng H, Zeng Y, Zhang L, Zhang J, Li X (2019) Mechanical characteristics of well cement under cyclic loading and its influence on the integrity of shale gas wellbores. Fuel 250:132–143
Zhu C, Arson C (2014) A thermo-mechanical damage model for rock stiffness during anisotropic crack opening and closure. Acta Geotech 9:847–867
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The authors wish to acknowledge the financial supports of National Natural Science Foundation of China (Grant No. 42072307) and Foundation for Innovative Research Groups of the National Natural Science Foundation of China (Grant No. 51621006).
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He, T., Wang, T., Shan, B. et al. Fatigue Damage of Wellbore Cement Sheath in Gas Storage Salt Cavern Under Alternating Internal Pressure. Rock Mech Rock Eng 55, 715–732 (2022). https://doi.org/10.1007/s00603-021-02686-7
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DOI: https://doi.org/10.1007/s00603-021-02686-7