整体抽油杆柱在油管内空间屈曲的多段式仿真模型对比

doi:10.13229/j.cnki.jdxbgxb20170512

摘要/Abstract

摘要： 针对直井抽油机井杆管偏磨进行分析,将整体抽油杆柱在油管内的空间屈曲模型分为三段式、四段式和五段式,并分别建立了每种模型下每段的数学微分方程,给出连接点处的位移、转角、弯矩、切向剪力的连续性条件。基于数值积分法对每段的方程进行求解,并将数学模型最终转化为非线性代数方程组的数值仿真模型,实现了对整体抽油杆柱屈曲构型的数值仿真。仿真结果表明:当工程实际中杆柱泵端载荷远远超过空间屈曲临界载荷时,五段式建立整体杆柱空间屈曲模型比三段式和四段式更为合理;三段式和四段式屈曲模型在螺旋段接触力、螺旋段长度、悬臂段的位置与五段式都有一定差距;先前的研究中将螺旋段方程进行降阶简化,与本文的完整螺旋段屈曲方程求解相比,模型简化得到的螺旋段分布接触力和螺旋段的长度结果相差较大。不同的分段方式,杆管偏磨的位置、接触压力就不同,本文仿真方法为深入研究杆管偏磨和杆柱寿命预测奠定了理论基础。

关键词: 机械设计, 抽油杆柱, 空间屈曲, 五段式, 边界约束, 数值积分

Abstract: The spatial buckling of sucker rod in tubing is important basis to analyze rod and tubing wear in vertical pumping well. In this paper, first, the spatial buckling model of entire sucker rod is divided into three-section model, four-section model and five-section model. Then the differential equations of each section of each model are established, and the continuity conditions of the displacement, rotation angle, bending moment and the tangential shear at the connecting points are derived respectively. Finally, numerical integration method is used to solve the equations, in which the differential equations are transferred into nonlinear algebraic equations, thus, the numerical simulation of the entire bucking configuration of sucker rod string is realized. The simulation results show that, when the bump end load of the rod is much higher than the spatial buckling critical load, the five-section model is more reasonable than the three- and four-section models. The contact force, helix angle of the helical section, the length of the helical section and bottom suspend section of three- and four-section models have certain gaps with five-section model. The results errors of the distribution contact force and the length of the helical section obtained by simplified reduced order equations in previous studies are larger compared with the solution of the complete helical buckling section equation. The wear position and contact pressure are different with different subsection methods. The simulation method may provide reference for further study of rod and tubing wear and prediction of rod life.

Key words: mechanical design, sucker rod string, spatial buckling, five-section, boundary constraint, numerical integration

中图分类号:

TB121

孙秀荣, 董世民, 王宏博, 李伟成, 孙亮. 整体抽油杆柱在油管内空间屈曲的多段式仿真模型对比[J]. 吉林大学学报(工学版), 2018, 48(4): 1124-1132.

SUN Xiu-rong, DONG Shi-min, WANG Hong-bo, LI Wei-cheng, SUN Liang. Comparison of multistage simulation models of entire sucker rod with spatial buckling in tubing[J]. 吉林大学学报(工学版), 2018, 48(4): 1124-1132.

参考文献

[1] 董世民. 水驱抽油机井杆管偏磨原因的力学分析[J]. 石油学报, 2003, 24(4): 108-112.
Dong Shi-min.Mechanical analysis on causes of worn rod string and tubing of rod pumping wells in the water-flooding oilfield[J]. Acta Petrolei Sinica, 2003, 24(4): 108-112.
[2] Lubinski A.A study of the buckling of rotary drilling string[J]. Drilling and Production Practice, 1950: 178-214.
[3] 崔孝秉, 张宏, 宋治. 套管柱稳定性问题研究[J]. 石油学报, 1998, 19(1): 124-128.
Cui Xiao-bing, Zhang Hong, Song Zhi.A research on casing string stability of oilwell[J]. Acta Petrolei Sinica, 1998, 19(1): 124-128.
[4] 焦永树, 蔡宗熙, 严宗达. 铅垂井段钻柱在浮重作用下的静力分岔分析[J]. 工程力学, 1998(增刊), 256-260.
Jiao Yong-shu, Cai Zong-xi, Yan Zong-da.The static bifurcation analysis of drillstring in vertical wells under the effect of floating heavy[J]. Engineering Mechanics, 1998(Sup.): 256-260.
[5] 于永南, 胡玉林, 韩志勇, 等. 井眼中钻柱稳定性分析的有限元法[J]. 石油大学学报:自然科学版, 1998, 22(6): 77-81.
Yu Yong-nan, Hu Yu-lin, Han Zhi-yong, et al.Analysis of drillstring stability in wellbore by using finite element method[J]. Journal of the University of Petroleum (Edition of National Science), 1998, 22(6): 74-78.
[6] 高国华, 李琪, 张健仁. 管柱在垂直井眼中的屈曲分析[J]. 西安石油学院学报:自然科学版, 1996, 11(1): 33-35.
Gao Guo-hua, Li Qi, Zhang Jian-ren.Buckling analysis of pipe string in a vertical bore hole[J]. Journal of Xi'an Shiyou University(Natural Science Edition),1996, 11(1): 33-35.
[7] 谈梅兰, 甘立飞, 王鑫伟. 斜直井内钻柱的非线性螺旋屈曲[J]. 工程力学, 2007(增刊2):199-202.
Tan Mei-lan, Gan Li-fei, Wang Xin-wei.Nonlinear helical buckling of drillstring in inclined wellbore[J]. Engineering Mechanics, 2007(Sup.2): 199-202.
[8] 刘凤梧, 徐秉业, 高德利. 封隔器对油管螺旋屈曲的影响分析[J]. 清华大学学报:自然科学版, 1999, 39(8): 105-108.
Liu Feng-wu, Xu Bing-ye, Gao De-li.Packer effect analysis of helical buckling of well tubing[J]. Journal of Tsinghua University (Science &Technology), 1999, 39(8): 105-108.
[9] 刘峰, 王鑫伟. 直井中钻柱非线性屈曲的DQ法分析[J]. 吉林大学学报:工学版, 2007, 37(1): 234-238.
Liu Feng, Wang Xin-wei.Differential quadrature method for nonlinear buckling analysis of tubing in straight wells[J]. Journal of Jilin University (Engineering and Technology Edition), 2007, 37(1): 234-238.
[10] Lubinski A, Althouse W S.Helical buckling of tubing sealed in packers[J]. Journal of Pertoleum Technology, 1962, 14(6): 655-670.
[11] Jr Cheatham J B. Helical postbuckling configuration of a weightless column under the action of axial Load[J]. SPE Society of Petroleum Engineers, 1984, 24(2): 467-472.
[12] Mitchell R F.Buckling behavior of well tubing: the packer effect[J]. Society of Petroleum Engineers Journal, 1982, 22(5): 616-624.
[13] Mitchell R F.Effect of well deviation on helical buckling[J]. SPE Drillling and Completion, 1997,46(3):63-69.
[14] Mitchell R F.Helical buckling of pipe with connectors in vertical wells[J]. SPE Drillling and Completion, 2000, 15(3): 162-166.
[15] Mitchell R F.New concepts for helical buckling[J]. SPE Drilling Engineering, 1988, 3(3): 303-310.
[16] Sorenson K G, Cheatham J B.Post-buckling behavior of a circular rod constrained within a circular cylinder[J]. Journal of Applied Mechanics, 1986,53(4): 929-934.
[17] 黄文君, 高德利, 魏绍蕾. 边界条件对无重管柱螺旋屈曲的影响分析[J]. 西安石油大学学报:自然科学版, 2015, 30(3): 87-94,11.
Huang Wen-jun, Gao De-li, Wei Shao-lei.Effects of boundary conditions on helical buckling of weightless tubular string[J]. Journal of Xi'an Shiyou University (Natural Science Edition), 2015, 30(3): 87-94, 11.
[18] Huang W J, Gao D L, Wei S L, et al.Boundary conditions: a key factor in tubular-string buckling[J]. SPE Society of Petroleum Engineers, 2015, 20(6): 409-420.
[19] Huang Wen-jun, Gao De-li, Liu Ying-hua.A study of tubular string buckling in vertical wells[J]. International Journal of Mechanical Sciences, 2016, 118: 231-253.

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