留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

井下钻柱纵向横向耦合振动模型建立与数值分析

田家林 吴纯明 杨勇文 姚宇 杨志 袁长福 吴波

田家林, 吴纯明, 杨勇文, 姚宇, 杨志, 袁长福, 吴波. 井下钻柱纵向横向耦合振动模型建立与数值分析[J]. 应用数学和力学, 2017, 38(6): 685-695. doi: 10.21656/1000-0887.370214
引用本文: 田家林, 吴纯明, 杨勇文, 姚宇, 杨志, 袁长福, 吴波. 井下钻柱纵向横向耦合振动模型建立与数值分析[J]. 应用数学和力学, 2017, 38(6): 685-695. doi: 10.21656/1000-0887.370214
TIAN Jia-lin, WU Chun-ming, YANG Yong-wen, YAO Yu, YANG Zhi, YUAN Chang-fu, WU Bo. Numerical Analysis of Downhole Drill Strings With a Longitudinal and Lateral Coupled Vibration Model[J]. Applied Mathematics and Mechanics, 2017, 38(6): 685-695. doi: 10.21656/1000-0887.370214
Citation: TIAN Jia-lin, WU Chun-ming, YANG Yong-wen, YAO Yu, YANG Zhi, YUAN Chang-fu, WU Bo. Numerical Analysis of Downhole Drill Strings With a Longitudinal and Lateral Coupled Vibration Model[J]. Applied Mathematics and Mechanics, 2017, 38(6): 685-695. doi: 10.21656/1000-0887.370214

井下钻柱纵向横向耦合振动模型建立与数值分析

doi: 10.21656/1000-0887.370214
基金项目: 国家自然科学基金(51074202);国家科技重大专项(大型油气田及煤层气开发)(2016ZX05038);国家留学基金(201608515039)
详细信息
    作者简介:

    田家林(1979—),男,副教授,博士,硕士生导师(E-mail: tianjialin001@gmail.com; 309009838@qq.com);吴纯明(1991—),男,硕士生(通讯作者. E-mail: 1769752908@qq.com).

  • 中图分类号: TE921

Numerical Analysis of Downhole Drill Strings With a Longitudinal and Lateral Coupled Vibration Model

Funds: The National Natural Science Foundation of China(51074202);The National Science and Technology Major Project of China(2016ZX05038)
  • 摘要: 针对井下钻柱运动的复杂性,基于动力学理论,建立了井下钻柱纵向和横向耦合振动的数学模型,并进行数值求解及分析.根据井下钻柱的实际工况,以整个井下钻柱为研究对象,提出了钻柱纵向和横向耦合振动的动力方程,并利用解析法和无量纲法分别求解出其动刚度和动阻尼的表达式,以及钻柱前两阶振动的固有频率.分析结果表明:当井下钻柱振动频率增大时,其动刚度呈幅值衰减的周期性变化,而其动阻尼呈幅值增强的周期性变化;井下钻柱长度和横截面面积越大,其动刚度和动阻尼的幅值越小;井下钻柱的Poisson(泊松)比对其振动的动刚度、动阻尼和前两阶固有频率没有影响;同时,井下钻柱的第二阶固有频率始终大于第一阶固有频率.该文的研究方法和模型为井下钻柱钻具分析和结果优化提供了理论参考和实际意义.
  • [1] 胡育佳, 程昌钧, 杨骁. 水平振动下桩基的非线性动力学特性[J]. 应用数学和力学, 2005,26(6): 645-652. (HU Yu-jia, CHENG Chang-jun, YANG Xiao. Nonlinear dynamical characteristics of piles under horizontal vibration[J]. Applied Mathematics and Mechanics,2005,26(6): 645-652. (in Chinese))
    [2] 胡以宝, 狄勤丰, 邹海洋, 等. 钻柱动力学研究及监控技术新进展[J]. 石油钻探技术, 2006,34(6):7-10.(HU Yi-bao, DI Qing-feng, ZOU Hai-yang, et al. The new development of monitoring technology and researches on drill string dynamics[J]. Petroleum Drilling Technology,2006,34(6):7-10.(in Chinese))
    [3] 李子丰, 李志刚. 钻柱纵向振动分析[J]. 天然气工业, 2004,24(6): 10, 70-73.(LI Zi-feng, LI Zhi-gang. Analysis of longitudinal vibration of drill-string[J]. Natural Gas Industry,2004,24(6): 10, 70-73.(in Chinese))
    [4] Gulyayev V I, Borshch O I. Free vibrations of drill strings in hyper deep vertical bore-wells[J]. Journal of Petroleum Science & Engineering,2011,78(3): 759-764.
    [5] 魏水平, 况雨春, 夏宇文. 基于 ANSYS 的钻柱纵向振动有限元分析及应用[J]. 河南石油, 2006,20(1): 66-68.(WEI Shui-ping, KUANG Yu-chun, XIA Yu-wen. ANSYS-based finite element analysis model of longitudinal vibration of drilling string and its application[J]. Henan Petroleum,2006,20(1): 66-68 .(in Chinese))
    [6] 徐桃园, 张强, 陈灿, 等. 大位移井钻柱纵向振动理论分析与ANSYS计算[J]. 噪声与振动控制, 2010,30(2): 50-53.(XU Tao-yuan, ZHANG Qiang, CHEN Can, et al. Theoretical analysis and ANSYS calculation of longitudinal vibration of drill string[J]. Noise & Vibration Control,2010,30(2): 50-53.(in Chinese))
    [7] Ghasemloonia A, Rideout D G, Butt S D. Analysis of multi-mode nonlinear coupled axial-transverse drillstring vibration in vibration assisted rotary drilling[J]. Journal of Petroleum Science & Engineering,2014,116(2): 36-49.
    [8] 丁天怀, 李成. 钻井液与钻柱的耦合纵向振动分析[J]. 机械工程学报, 2007,43(9): 215-219.(DING Tian-huai, LI Cheng. Analysis of coupling axial vibrations between drillling fluids and drillstring[J]. Chinese Journal of Mechanical Engineering,2007,43(9): 215-219.(in Chinese))
    [9] 闫向宏, 孙建孟, 张美玲, 等. 钻柱扭转和纵向振动的等效网络分析[J]. 工程力学, 2011,28(2): 229-233, 245.(YAN Xiang-hong, SUN Jian-meng, ZHANG Mei-ling, et al. Analysis of torsional and longitudinal vibration of drill strings using equivalent network[J]. Engineering Mechanics,2011,28(2): 229-233, 245.(in Chinese))
    [10] 徐鸿志, 王瑞和, 宋有胜, 等. 空气钻井条件下钻柱振动特性研究[J]. 天然气工业, 2011,31(6): 66-70, 128-129.(XU Hong-zhi, WANG Rui-he, SONG You-sheng, et al. Vibrating properties of the drill string during air drilling operations[J]. Natural Gas Industry,2011,31(6): 66-70, 128-129.(in Chinese))
    [11] 孟庆华, 刘清友. 气体钻井钻柱气固耦合横向振动的数学建模与求解[J]. 应用力学学报, 2010,27(4): 830-833, 860.(MENG Qing-hua, LIU Qin-you. Mathematical model of lateral vibration of the drilling string with gas-solid coupling[J]. Chinese Journal of Applied Mechanics,2010,27(4): 830-833, 860.(in Chinese))
    [12] 王鸿雁, 肖文生, 刘忠砚, 等. 钻井过程中钻柱的横-扭耦合振动分析[J]. 噪声与振动控制, 2014,34(1): 61-66. (WANG Hong-yan, XIAO Wen-sheng, LIU Zhong-yan, et al. Analysis of lateral-and-torsional coupled vibration of drill string during drilling process[J]. Noise & Vibration Control,2014,〖STHZ〗 34(1): 61-66.(in Chinese))
    [13] 李茂生, 闫相祯, 高德利. 钻井液对钻柱横向振动固有频率的影响[J]. 石油大学学报(自然科学版), 2004,28(6): 68-71.(LI Mao-sheng, YAN Xang-zhen, GAO De-li. Influence of drilling fluid on natural frequency of drill string lateral vibration[J]. Journal of the University of Petroleum China,2004,28(6): 68-71.(in Chinese))
    [14] 吴天新, 陆鑫森. 钻柱内外沿轴向流动的钻井液对钻柱横向振动的影响[J]. 振动与冲击, 1995(2): 1-6.(WU Tian-xin, LU Xin-shen. The influence of the annular and the internal drilling fluids flowing in axial on the lateral vibration of a drill collar[J]. Journal of Vibration and Shock,1995(2): 1-6.(in Chinese))
    [15] Bukowitz D, Morán J, Bravo R. Computer model to predict drillstring lateral vibration modes and frequencies using the finite-element-method and modal analysis[J]. Revista Técnica de la Facultad de Ingeniería Universidad del Zulia,2008,31(2): 48-63.
    [16] 闫铁, 王雪刚, 李杉, 等. 钻柱轴向与横向耦合振动的有限元分析[J]. 石油矿场机械, 2012,41(3): 39-42. (YAN Tie, WANG Xue-gang, LI Shan, et al. Finite element analysis of longitudinal and lateral coupled vibration of drilling[J]. Oil Field Equipment,2012,41(3): 39-42.(in Chinese))
    [17] 冯志鹏, 臧峰刚, 张毅雄. 三维横向流体诱发直管振动的数值模拟[J]. 应用数学和力学, 2013,34(12): 1311-1320.(FENG Zhi-peng, ZANG Feng-gang, ZHANG Yi-xiong. Numerical simulation of uniform tube vibration induced by 3-dimensional cross-flow[J]. Applied Mathematics and Mechanics,2013,34(12): 1311-1320. (in Chinese))
    [18] REN Fu-shen, WANG Bao-jin, CHEN Su-li, et al. Nonlinear model and qualitative analysis for coupled axial/torsional vibrations of drill string[J]. Shock & Vibration,2016,2016(6): 1646814.
    [19] Musa N W, Gulyayev V I, Shevchuk L V, et al. Chaotic vibration analysis of the bottom rotating drill string[J]. Shock & Vibration,2014,49(1): 104-111.
  • 加载中
计量
  • 文章访问数:  938
  • HTML全文浏览量:  167
  • PDF下载量:  854
  • 被引次数: 0
出版历程
  • 收稿日期:  2016-07-13
  • 修回日期:  2016-08-19
  • 刊出日期:  2017-06-15

目录

    /

    返回文章
    返回