Fatigue damage law of cement sheath based on continuum damage mechanics

doi:10.7623/syxb202505010

Acta Petrolei Sinica ›› 2025, Vol. 46 ›› Issue (5): 977-993.DOI: 10.7623/syxb202505010

• PETROLEUM ENGINEERING • Previous Articles

Fatigue damage law of cement sheath based on continuum damage mechanics

Yang Huanqiang^1,2, Wang Kai^1,2, Cai Meng³, Wang Peng³, Zhang Nan³, Li Junliang³, Ma Wenhai³, Huang Weiming³, Li Yong^1,2

1. National Engineering Research Center for Oil & Gas Drilling and Completion Technology, Yangtze University, Hubei Wuhan 430100, China;
2. State Key Laboratory of Low Carbon Catalysis and Carbon Dioxide Utilization (Yangtze University), Hubei Wuhan 430100, China;
3. Oil Production Engineering Research Institute, Daqing Oilfield Limited Company, Heilongjiang Daqing 163453, China

Received:2024-01-11 Revised:2025-02-26 Published:2025-06-10

基于连续损伤力学的水泥环疲劳损伤规律

杨焕强^1,2, 王凯^1,2, 蔡萌³, 王鹏³, 张楠³, 李俊亮³, 马文海³, 黄伟明³, 李勇^1,2

1. 长江大学油气钻完井技术国家工程研究中心湖北武汉 430100;
2. 低碳催化与二氧化碳利用全国重点实验室(长江大学) 湖北武汉 430100;
3. 大庆油田有限责任公司采油工艺研究院黑龙江大庆 163453

通讯作者: 杨焕强,男,1985年2月生,2015年获中国石油大学(华东)博士学位,现为长江大学石油工程学院副教授、硕士生导师,主要从事固井工程理论与技术、水泥环完整性评价与保障等方向研究。Email:yanghuanqiang@yangtzeu.edu.cn
基金资助:
中国石油天然气股份有限公司科技重大专项"二氧化碳规模化捕集、驱油与埋存全产业链关键技术研究及示范"(2021ZZ01)资助。

Abstract

Abstract: Under complex pressure and temperature conditions, the fatigue damage in cement sheaths and the resulting annular pressure pose significant threats to wellbore safety. A continuous fatigue damage mechanical model of the cement sheath was constructed based on the continuum damage mechanics theories, in combination with the damage-plasticity constitutive model comprehensively considering both compression and tension states. Then a comprehensive damage factor was introduced to quantitatively evaluate the degree of fatigue damage. Focusing on the wellbore configuration and injection-production parameters of CCUS wells in Daqing oilfield, a cement bonding logging test was performed under alternating temperature and pressure conditions inside the casing by using a full-scale wellbore integrity evaluation system and an eight-sector cement bonding logging tool, thus verifying the accuracy of the model. Moreover, an investigation was conducted on the fatigue damage law of the cement sheath under CO₂ cyclic injection conditions. The results show that during CO₂ cyclic injection, the cement sheath damage initially increases linearly and then tends to be mitigated. At an injection-production frequency of 4 cycles per year, operation thresholds for ensuring 20-year safe operation in Daqing oilfield CCUS wells are established as below:casing internal alternating pressure and temperature fluctuation amplitude below 30 MPa and 70 ℃, respectively. Due to the coupled effects of temperature and pressure, the decrease in wellbore temperature during CO₂ injection helps mitigate the fatigue damage of the cement sheath caused by an increase in casing internal pressure.

Key words: continuum damage mechanics, cement sheath, fatigue damage, CO₂ cyclic injection, full-scale test, comprehensive damage factor

摘要： 水泥环在复杂压力及温度条件下发生疲劳损伤以及由此引起的环空带压,严重影响井筒安全。基于连续损伤力学理论,综合考虑水泥环压缩和拉伸两种状态的损伤塑性本构模型,构建了水泥环连续疲劳损伤力学模型,引入综合损伤因子对疲劳损伤程度进行定量评价;针对大庆油田应用二氧化碳的捕集、利用与封存(CCUS)的井筒结构及注采参数,利用全尺寸井筒完整性评价系统及八扇区水泥胶结测井仪,开展了套管内温度、压力交变的水泥胶结测井试验,以验证模型的准确性;研究了CO₂循环注入工况下的水泥环疲劳损伤规律。研究结果表明,CO₂循环注入时水泥环损伤初期线性增加后趋势变缓;在4次/年的注采频率下,套管内压力交变幅值小于30 MPa、套管内温度交变幅值小于70℃为大庆油田CCUS井安全生产20年的运行界限;受温度和压力的耦合作用,CO₂注入时,井筒温度降低有助于减小套管内压力增大而造成的水泥环疲劳损伤。

关键词: 连续损伤力学, 水泥环, 疲劳损伤, CO₂循环注入, 全尺寸试验, 综合损伤因子

CLC Number:

TE256

Yang Huanqiang, Wang Kai, Cai Meng, Wang Peng, Zhang Nan, Li Junliang, Ma Wenhai, Huang Weiming, Li Yong. Fatigue damage law of cement sheath based on continuum damage mechanics[J]. Acta Petrolei Sinica, 2025, 46(5): 977-993.

杨焕强, 王凯, 蔡萌, 王鹏, 张楠, 李俊亮, 马文海, 黄伟明, 李勇. 基于连续损伤力学的水泥环疲劳损伤规律[J]. 石油学报, 2025, 46(5): 977-993.

References

[1] 杨勇. 中国碳捕集、驱油与封存技术进展及发展方向[J].石油学报,2024,45(1):325-338.
YANG Yong.Technology progress and development direction of carbon capture,oil-flooding and storage in China[J].Acta Petrolei Sinica,2024,45(1):325-338.
[2] 马新华,郑得文,魏国齐,等.中国天然气地下储气库重大科学理论技术发展方向[J].天然气工业,2022,42(5):93-99.
MA Xinhua,ZHENG Dewen,WEI Guoqi,et al.Development directions of major scientific theories and technologies for underground gas storage [J].Natural Gas Industry,2022,42(5):93-99.
[3] 郑雅丽,邱小松,赖欣,等.气藏型地下储气库地质体注采运行风险分级与管控[J].天然气工业,2022,42(3):114-119.
ZHENG Yali,QIU Xiaosong,LAI Xin,et al.Risk classification and control of gas-storage geological body of gas reservoir type during injection,production and operation[J].Natural Gas Industry,2022,42(3):114-119.
[4] 刘向斌,黄伟明,马文海,等.水驱老井转CCUS注入井风险评价方法[J].石油钻采工艺,2022,44(6):752-757.
LIU Xiangbin,HUANG Weiming,MA Wenhai,et al.Risk evaluation method for converting previous water injection wells to CCUS injection wells[J].Oil Drilling & Production Technology,2022,44(6):752-757.
[5] GOODWIN K J,CROOK R J.Cement sheath stress failure[J].SPE Drilling Engineering,1992,7(4):291-296.
[6] SHADRAVAN A,SCHUBERT J,AMANI M,et al.HPHT cement sheath integrity evaluation method for unconventional wells[R].SPE 168321,2014.
[7] DE ANDRADE J,TORSÆTER M,TODOROVIC J,et al.Influence of casing centralization on cement sheath integrity during thermal cycling[R].SPE 168012,2014.
[8] MCDANIEL J,WATTERS L,SHADRAVAN A.Cement sheath durability:increasing cement sheath integrity to reduce gas migration in the Marcellus shale play[R].SPE 168650,2014.
[9] Z ENG Yijin,LIU Rengguang,LI Xiaojiang,et al.Cement sheath sealing integrity evaluation under cyclic loading using large-scale sealing evaluation equipment for complex subsurface settings[J].Journal of Petroleum Science and Engineering,2019,176:811-820.
[10] 高德利,刘奎,王宴滨,等.页岩气井井筒完整性失效力学机理与设计控制技术若干研究进展[J].石油学报,2022,43(12):1798-1812.
GAO Deli,LIU Kui,WANG Yanbin,et al.Some research advances in the failure mechanism and design & control technologies of shale gas well integrity[J].Acta Petrolei Sinica,2022,43(12):1798-1812.
[11] 房军,谷玉洪,米丰珍.非均匀载荷作用下套管挤压失效数值分析[J].石油机械,1999,27(7):34-37.
FANG Jun,GU Yuhong,MI Fengzhen.A numerical analysis of casing collapse under nonuniform load[J].China Petroleum Machinery,1999,27(7):34-37.
[12] LAIDLER A,TAOUTAOU S,JOHNSON C R,et al.A risk analysis approach using stress analysis models to design for cement sheath integrity in a multilateral well[R].SPE 11059,2007.
[13] 初纬,沈吉云,杨云飞,等.连续变化内压下套管-水泥环-围岩组合体微环隙计算[J].石油勘探与开发,2015,42(3):379-385.
CHU Wei,SHEN Jiyun,YANG Yunfei,et al.Calculation of micro-annulus size in casing-cement sheath-formation system under continuous internal casing pressure change[J].Petroleum Exploration and Development,2015,42(3):379-385.
[14] 赵新波,杨秀娟,李向阳,等.考虑热固耦合作用的高温高压井井筒完整性分析[J].工程科学学报,2016,38(1):11-18.
ZHAO Xinbo,YANG Xiujuan,LI Xiangyang,et al.Integrity analysis of high temperature and high pressure wellbores with thermo-structural coupling effects[J].Chinese Journal of Engineering,2016,38(1):11-18.
[15] 郭辛阳,吴涌泉,步玉环,等.变内压条件下井筒完整性的弹塑性分析[J].中国石油大学学报(自然科学版),2018,42(3):64-69.
GUO Xinyang,WU Yongquan,BU Yuhuan,et al.Elastoplastic analysis of wellbore integrity under varying internal casing pressure[J].Journal of China University of Petroleum(Edition of Natural Science),2018,42(3):64-69.
[16] 李军,陈勉,张广清,等.易坍塌地层椭圆形井眼内套管应力的有限元分析[J].石油大学学报(自然科学版),2004,28(2):45-48.
LI Jun,CHEN Mian,ZHANG Guangqing,et al.Analysis on stress distribution of casing in sloughing formation with finite element method[J].Journal of the University of Petroleum,China,2004,28(2):45-48.
[17] 郭辛阳,宋雨媛,步玉环,等.基于损伤力学变内压条件下水泥环密封完整性模拟[J].石油学报,2020,41(11):1425-1433.
GUO Xinyang,SONG Yuyuan,BU Yuhuan,et al.Simulation of seal integrity of cement sheath under variable internal casing pressure based on damage mechanics[J].Acta Petrolei Sinica,2020,41(11):1425-1433.
[18] XI Yan,LI Jun,LIU Gonghui,et al.A new numerical investigation of cement sheath integrity during multistage hydraulic fracturing shale gas wells[J].Journal of Natural Gas Science and Engineering,2018,49:331-341.
[19] GUO Shenglai,BU Yuhuan,YANG Xin,et al.Effect of casing internal pressure on integrity of cement ring in marine shallow formation based on XFEM[J].Engineering Failure Analysis,2020,108:104258.
[20] YANG Heng,BU Yuhuan,GUO Shenglai,et al.Effects of in-situ stress and elastic parameters of cement sheath in salt rock formation of underground gas storage on seal integrity of cement sheath[J].Engineering Failure Analysis,2021,123:105258.
[21] 张智,王嘉伟,吴优,等.页岩气水平井固井水泥环状态对套管力学完整性的影响[J].石油学报,2022,43(8):1158-1172.
ZHANG Zhi,WANG Jiawei,WU You,et al.Effect of cement sheath condition on casing mechanical integrity in shale gas horizontal wells[J].Acta Petrolei Sinica,2022,43(8):1158-1172.
[22] DE ANDRADE J,SANGESLAND S.Cement sheath failure mechanisms:numerical estimates to design for long-term well integrity[J].Journal of Petroleum Science and Engineering, 2016,147:682-698.
[23] LIU Shuoqiong,LI Deqi,YUAN Jinping,et al.Cement sheath integrity of shale gas wells:a case study from the Sichuan Basin[J].Natural Gas Industry B,2018,5(1):22-28.
[24] GHOLAMI R,AADNOY B,FAKHARI N.A thermo-poroelastic analytical approach to evaluate cement sheath integrity in deep vertical wells[J].Journal of Petroleum Science and Engineering,2016,147:536-546.
[25] DE SOUZA W R M,BOUAANANI N,MARTINELLI A E,et al.Numerical simulation of the thermomechanical behavior of cement sheath in wells subjected to steam injection[J].Journal of Petroleum Science and Engineering,2018,167:664-673.
[26] SALEHABADI M,JIN Min,YANG Jinhai,et al.The effect of casing eccentricity on the casing stability analysis of a wellbore drilled in gas hydrate bearing sediments[R].SPE 131236,2010.
[27] BOIS A P P,GARNIER A,RODOT F,et al.How to prevent loss of zonal isolation through a comprehensive analysis of microannulus formation[J].SPE Drilling & Completion, 2011,26(1):13-31.
[28] 李勇,纪宏飞,邢鹏举,等.气井井筒温度场及温度应力场的理论解[J].石油学报,2021,42(1):84-94.
LI Yong,JI Hongfei,XING Pengju,et al.Theoretical solutions of temperature field and thermal stress field in wellbore of a gas well[J].Acta Petrolei Sinica,2021,42(1):84-94.
[29] GUO Jialiang,YANG Huanqiang,YAN Haibing.Sealing failure of a cement sheath under temperature variation[J].Geomechanics for Energy and the Environment,2023,33:100429.
[30] HE Mingming,HUANG Bingqian,ZHU Caihui,et al.Energy dissipation-based method for fatigue life prediction of rock salt[J].Rock Mechanics and Rock Engineering,2018,51(5):1447-1455.
[31] KACHANOV L M.Rupture time under creep conditions[J].International Journal of Fracture,1999,97(1/4):11-18.
[32] XIAO Jianqing,DING Dedin,XU Gen,et al.Inverted S-shaped model for nonlinear fatigue damage of rock[J].International Journal of Rock Mechanics and Mining Sciences,2009,46(3):643-648.
[33] ARJOMAND E.Cement sheath integrity assessment subject to pressure and temperature variations[D].Adelaide:The University of Adelaide,2018.
[34] LEE J,FENVES G L.Plastic-damage model for cyclic loading of concrete structures[J].Journal of Engineering Mechanics,1998,124(8):892-900.
[35] 中华人民共和国住房和城乡建设部.普通混凝土长期性能和耐久性能试验方法标准:GB/T 50082—2009[S]北京:中国建筑工业出版社,2009.
Ministry of Housing and Urban-Rural Development,PRC.Standard for test methods of long-term performance and durability of ordinary concrete:GB/T 50082-2009[S].Beijing:China Architecture & Building Press,2009.
[36] 国家能源局.固井质量评价方法:SY/T 6592—2016[S].北京:石油工业出版社,2016.
National Energy Administration.Procedure for cement evaluation:SY/T 6592-2016[S].Beijing:Petroleum Industry Press,2016.

Fatigue damage law of cement sheath based on continuum damage mechanics

基于连续损伤力学的水泥环疲劳损伤规律

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 14

Recommended Articles

Metrics

Comments

[1]	Zhang Zhi, Wang Jiawei, Wu You, Huo Hongbo, Xie Tao, Li Jinman. Effect of cement sheath condition on casing mechanical integrity in shale gas horizontal wells [J]. Acta Petrolei Sinica, 2022, 43(8): 1158-1172.
[2]	Li Yong, Ji Hongfei, Xing Pengju, Su Yinao, Liu Shuoqiong, Wei Fengqi. Theoretical solutions of temperature field and thermal stress field in wellbore of a gas well [J]. Acta Petrolei Sinica, 2021, 42(1): 84-94.
[3]	Guo Xinyang, Song Yuyuan, Bu Yuhuan, Guo Shenglai, Liu Huajie, Wang Chengwen. Simulation of seal integrity of cement sheath under variable internal casing pressure based on damage mechanics [J]. Acta Petrolei Sinica, 2020, 41(11): 1425-1433.
[4]	Chen Guoming, Li Jiayi, Chang Yuanjiang, Wang Kang, Xiu Zixiang, Liu Haolin, Xu Liangbin, Sheng Leixiang. Influencing factors for fatigue damage of underwater wellhead system of deepwater oil and gas [J]. Acta Petrolei Sinica, 2019, 40(S2): 141-151.
[5]	Yang Hao. Stability of cement-formation interfaces under triaxial ground stress [J]. Acta Petrolei Sinica, 2019, 40(S2): 152-159.
[6]	Chang Yuanjiang, Wang Jian, Li Jiayi, Nie Zhenyu, Zhang Weiguo, Xu Liangbin, Liu Xiuquan, Chen Guoming. Calculation method of subsea wellhead fatigue damage considering thermal effect [J]. Acta Petrolei Sinica, 2019, 40(4): 482-492.
[7]	Yang Zhaozhong, Liu Yunrui, Zhang Ping, Li Xiaogang, Yi Liangping. A model for calculating formation breakdown pressure in CBM vertical wells [J]. Acta Petrolei Sinica, 2018, 39(5): 578-586.
[8]	Liu Kui, Wang Yanbin, Gao Deli, Li Xingjun, Zhang Yong. Effects of hydraulic fracturing on horizontal wellbore for shale gas [J]. Acta Petrolei Sinica, 2016, 37(3): 406-414.
[9]	YANG Yan YANG Yuanguang LU Jiating MA Yan WU Yan JI Yueying. Effect of density reduction of operating fluid in casing on interface cementation of cement sheath [J]. Editorial office of ACTA PETROLEI SINICA, 2010, 31(2): 333-337.
[10]	BU Yuhuan, MU Haipeng, WANG Ruihe, SHEN Zhonghou. Crack resistance mechanism of fiber cement under the action of complex stress [J]. Editorial office of ACTA PETROLEI SINICA, 2008, 29(6): 922-926.
[11]	LI Zaoyuan, GUO Xiaoyang, LUO Faqiang, DONG Zhaoxiong, LUO Pingya. Research on mechanism of increasing flexibility and decreasing brittleness of cement sheath in oil well [J]. Editorial office of ACTA PETROLEI SINICA, 2008, 29(3): 438-441.
[12]	Li Zaoyuan, Guo Xiaoyang, Han Lin, Luo Pingya. Improvement of latex on mechanical deformation capability of cement sheath under triaxial loading condition [J]. Editorial office of ACTA PETROLEI SINICA, 2007, 28(4): 126-129.
[13]	Chen Zhaowei, Yin Youquan. Theoretical study on effect of cement sheath on casing load [J]. Editorial office of ACTA PETROLEI SINICA, 2007, 28(3): 141-144.
[14]	Lu Yongming. FATIGUE DAMAGE EVALUATION FOR DRILL PIPE IN THE HORIZONTAL WELL [J]. Editorial office of ACTA PETROLEI SINICA, 1999, 20(6): 73-76.