黄文君,高德利,魏绍蕾

• 1:中国石油大学(北京)石油工程教育部重点实验室

摘要(Abstract)：

针对无重管柱(忽略管柱重力的影响)螺旋屈曲问题,从虚功原理出发,将管柱边界条件分成2大类。指出前人的研究大多集中于第一类边界条件,而忽略了第二类边界条件。提出塞子模型模拟管柱的端部约束条件,并推导出管柱变形的广义势能泛函。利用最小势能原理,得到了第一类和第二类边界条件下的管柱完全螺旋屈曲段的变形方程,分析了边界条件对螺旋屈曲解的个数和稳定性、管柱与井壁接触力的影响规律。对于端部约束导致的过渡段,通过求解屈曲微分方程得出过渡段长度相对于长管柱整体而言是局部的。最后讨论了长管柱整体变形(完全螺旋屈曲段变形和过渡段变形)与边界条件之间的对应关系。边界条件是导致屈曲问题复杂化的一个重要因素,本文研究结果为深入认识边界条件的影响提供参考。

关键词(KeyWords)： 无重管柱;螺旋屈曲;边界条件;能量法;微分方程;稳定性;接触力

Abstract:

Keywords:

基金项目(Foundation): 国家科技重大专项课题“复杂结构井优化设计与控制关键技术”(2011ZX05009-005);; 国家自然科学基金创新研究群体(51221003)

作者(Author): 黄文君,高德利,魏绍蕾

参考文献(References)：

• [1]Lubinski A,Althouse W S.Helical buckling of tubing sealed in packers[J].Journal of Petroleum Technology,1962,14(6):655-670.
• [2]Paslay P R,Bogy D B.The stability of a circular rod laterally constrained to be in contact with an inclined circular cylinder[J].Journal of Applied Mechanics,1964,31(4):605-610.
• [3]Chen Y,Lin Y,Cheatham J B.Tubing and casing buckling in horizontal wells(includes associated papers 21257 and21308)[J].Journal of Petroleum Technology,1990,42(2):140-141.
• [4]Mitchell R F.New concepts for helical buckling[J].SPE Drilling Engineering,1988,3(3):303-310.
• [5]Mitchell R F.Helical buckling of pipe with connectors in vertical wells[J].SPE Drilling&Completion,2000,15(3):162-166.
• [6]Mitchell R F.Lateral buckling of pipe with connectors in horizontal wells[J].SPE Journal,2003,8(2):124-137.
• [7]Mitchell R F.Effects of well deviation on helical buckling[J].SPE Drilling&Completion,1997,12(1):63-70.
• [8]Robert F M.A buckling criterion for constant-curvature wellbores[J].SPE Journal,1999,4(4):349-352.
• [9]高德利.油气井管柱力学与工程[M].东营:中国石油大学出版社,2006.GAO De-li.Down-Hole Tubular Mechanics and Its Application[M].Dongying:China University of Petroleum Press,2006.
• [10]高德利.井眼轨迹控制[M].东营:中国石油大学出版社,1994.GAO De-li.Prediction and Control of Wellbore Trajectory[M].Dongying:China University of Petroleum Press,1994.
• [11]高德利,高宝奎.水平井段管柱屈曲与摩阻分析[J].石油大学学报:自然科学版,2000,24(2):1-3.GAO De-li,GAO Bao-kui.Effects of tubular buckling on torque and drag in horizontal well[J].Journal of China University of Petroleum:Natural Science Edition,2000,24(2):1-3.
• [12]高德利,刘凤梧,徐秉业.弯曲井眼中管柱屈曲行为研究[J].石油钻采工艺,2000,22(4):1-4.GAO De-li,LIU Feng-wu,XU Bing-ye.Study on the buckling behavior of pipe string in crooked hole[J].Oil Drilling&Production Technology,2000,22(4):1-4.
• [13]高德利,刘凤梧,徐秉业.油气井管柱的屈曲行为研究[J].自然科学进展,2001,11(9):82-86.GAO De-li,LIU Feng-wu,XU Bing-ye.Analysis of buckling behaviors of down-hole tubular strings[J].Progress in Natural Science,2001,11(9):82-86.
• [14]李子丰,马兴瑞,黄文虎.水平管中受压扭细长圆杆(管)的线性弯曲[J].哈尔滨工业大学学报,1994,36(1):96-100.LI Zi-feng,MA Xing-rui,HUANG Wen-hu.The buckling of a circular rod or pipe laterally constrained to be contact with a horizontal circular cylinder[J].Journal of Harbin Institute of Technology,1994,36(1):96-100.
• [15]李子丰,马兴瑞,黄文虎.油气井杆管柱的静力稳定性[J].工程力学,1997,14(1):17-25.LI Zi-feng,MA Xing-rui,HUANG Wen-hu.Static stability of pipe string in oil and gas wells[J].Engineering Mechanics,1997,14(1):17-25.
• [16]刘凤梧.受圆管约束管柱的后屈曲行为研究[D].北京:清华大学,1999.LIU Feng-wu.Post-buckling behaviors of tubulars within circular cylinders[D].Beijing:Tsinghua University,1999.
• [17]刘凤梧,徐秉业,高德利.水平圆管中受压扭作用管桩屈曲后的解析解[J].力学学报,1999,31(2):238-242.LIU Feng-wu,XU Bing-ye,GAO De-li.An analytic solution for post-buckling of tubulars subjected to axial and torsional loading in horizontal circular cylinders[J].ACTA Mechanica Sinica,1999,31(2):238-242.
• [18]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:Natural Science Edition,1999,39(8):105-108.
• [19]Gao G,Miska S.Effects of friction on post-buckling behavior and axial load transfer in a horizontal well[J].SPE Journal,2010,15(4):1104-1118.
• [20]Gao G,Miska S Z.Effects of boundary conditions and friction on static buckling of pipe in a horizontal Well[J].SPE Journal,2009,14(4):782-796.
• [21]高国华,李琪,李淑芳.管柱在水平井眼中的屈曲分析[J].石油学报,1996,17(3):123-130.GAO Guo-hua,LI Qi,LI Shu-fang.A buckling analysis of pipe string in horizontal boreholes[J].Acta Petrolei Sinica,1996,17(3):123-130.
• [22]高国华,李琪,李淑芳.弯曲井眼中受压管柱的屈曲分析[J].应用力学学报,1996,13(1):115-120.GAO Guo-hua,LI Qi,LI Shu-fang.Buckling analysis for pipe string constrained in curved boreholes[J].Chinese Journal of Applied Mechanics,1996,13(1):115-120.
• [23]高国华,张福祥,王宇,等.水平井眼中管柱的屈曲和分叉[J].石油学报,2001,22(1):95-99.GAO Guo-hua,ZHANG Fu-xiang,WANG Yu,et al.Buckling and bifurcation of pipes in horizontal wells[J].Acta Petrolei Sinica,2001,22(1):95-99.