斜直井眼中钻柱横向动态运动非线性模型研究

刘永升1,高德利1,2王镇全1刘奎1

振动与冲击 ›› 2017, Vol. 36 ›› Issue (24) : 1-6.

PDF(1965 KB)
PDF(1965 KB)
振动与冲击 ›› 2017, Vol. 36 ›› Issue (24) : 1-6.
论文

斜直井眼中钻柱横向动态运动非线性模型研究

  • 刘永升1,高德利1,2王镇全1刘奎1
作者信息 +

Nonlinear dynamic model of drill-string transverse motion in a deviated well

  • LIU Yongsheng 1,2   GAO Deli 1,2  WANG Zhenquan 1  LIU Kui 1
Author information +
文章历史 +

摘要

由于缺乏对钻柱在斜井或水平井中运动规律清楚的认识,故无法采取有效措施避免钻柱的非正常磨损以及由于钻柱偏磨导致的钻杆磨穿问题。本文基于Lagrange动力学普遍方程,综合考虑了钻柱的粘滑运动、横向及扭转变形以及钻井液阻尼的影响,建立了斜直井中钻柱非规则运动的四自由度非线性动态模型。针对不同井斜角条件下钻柱运动的数值研究表明:当井斜角为90°时,钻柱将会沿着自身旋转方向的约30°扇形域的井壁蠕动,并且由于摩阻扭矩的集聚-释放,伴随随机的粘滑和翻滚。随着井斜角的减小,局部的摩擦翻滚幅度增加并逐渐扩展成为整个井眼内的带有随机碰撞的回旋运动。该模型有助于更好的认识定向井作业中钻柱的井下工况,为有效实施减弱钻柱磨损和预防钻杆磨穿的举措提供理论指导。

Abstract

Effective measures can’t be taken to avoid drill-strings’ abnormal wear and drill-pipe worn through caused by drill rod’s eccentric wear due to the lack of knowing clearly motion laws of drill-string in a deviated well. A 4-DOF nonlinear dynamic model for irregular motion of a drill-string in a deviated well was established here based on Lagrange equations considering drill-pipe’s stick-slip motion, its lateral and torsional deformations and well fluid damping effects. Under different inclinations (α), numerical studies showed that when α=90°, the drill-string creeps along the well wall within a 30° sector region about the drill-pipe’s spinning direction; with decrease in the inclination, due to friction damping torque’s concentration and release, accompanying with random stick-slip and tumbling, the drill-pipe’s local friction and tumbling motion grows and gradually extends to a whirl motion with random impacts in the whole wellbore; the built 4-DOF nonlinear dynamic model can be used to better understand the downhole working conditions of directional drilling, and provide a theoretical guide for decreasing drill-strings’ abnormal wear and  preventing drill-pipe worn through.
 

关键词

管柱力学 / 非线性动力学模型 / 粘滑翻滚 / 斜直井

Key words

drill-string mechanics / nonlinear dynamic model / stick-slip and tumble / deviated well

引用本文

导出引用
刘永升1,高德利1,2王镇全1刘奎1. 斜直井眼中钻柱横向动态运动非线性模型研究[J]. 振动与冲击, 2017, 36(24): 1-6
LIU Yongsheng 1,2 GAO Deli 1,2 WANG Zhenquan 1 LIU Kui 1 . Nonlinear dynamic model of drill-string transverse motion in a deviated well[J]. Journal of Vibration and Shock, 2017, 36(24): 1-6

参考文献

 [1] Hakimi H, Moradi S. Drillstring vibration analysis using differential quadrature method[J]. Journal of Petroleum Science and Engineering. 2010, 70(3-4): 235-242.
 [2] Moradi S, Ranjbar K. Experimental and computational failure analysis of drillstrings[J]. Engineering Failure Analysis. 2009, 16(3): 923-933.
 [3] Joshua H. Pipe Sticking Prediction Using LWD Real-Time Measurements[J]. Society of Petroleum Engineers. 2016.
 [4] 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 D L. Down-hole Tubular Mechanics and its Applications(in Chinese)[M]. Dongying, Shandong: China University of Petroleum Press, 2006.
 [5] Jansen J. Non-linear rotor dynamics as applied to oilwell drillstring vibrations[J]. Journal of Sound & Vibration. 1991, 147(1): 115-135.
 [6] Leine R I, Campen D H V. Stick-Slip Whirl Interaction in Drillstring Dynamics[M]. Springer Netherlands, 2002: 220.
 [7] Melakhessou H, Berlioz A, Ferraris G. A Nonlinear Well-Drillstring Interaction Model[J]. Journal of Vibration & Acoustics. 2003.
 [8] Liao C M, Balachandran B, Karkoub M, et al. Drill-String Dynamics: Reduced-Order Models and Experimental Studies[J]. Journal of Vibration & Acoustics. 2011, 133(4): 3443-3445.
 [9] Khulief Y A, Al-Naser H. Finite element dynamic analysis of drillstrings[J]. Finite Elements in Analysis and Design. 2005, 41(13): 1270-1288.
[10] Liu X, Vlajic N, Long X, et al. Nonlinear motions of a flexible rotor with a drill bit: stick-slip and delay effects[J]. Nonlinear Dynamics. 2013, 72(1-2): 61-77.
[11] Germay C, Wouw N V D, Nijmeijer H, et al. Nonlinear Drillstring Dynamics Analysis[J]. Siam Journal on Applied Dynamical Systems. 2009, 8(2): 527-553.
[12] Richard T, Germay C, Detournay E. A simplified model to explore the root cause of stick–slip vibrations in drilling systems with drag bits[J]. Journal of Sound and Vibration. 2007, 305(3): 432-456.
[13] 韩春杰,阎铁. 大位移井钻柱振动规律研究与应用[J]. 天然气工业. 2006(05): 72-74.
Han Chunjie , Yan Tie. Study on drill string vibrations in extended reach wells and its application. NATUR. GAS IND . 2006(05): 72-74.
[14] 李子丰. 油气井杆管柱力学研究进展与争论[J]. 石油学报. 2016(04): 531-556.
Li Zifeng. Research advances and debates on tubular mechanics in oil and gas wells[J]. Acta Petrolei Sinica, 2016, 37(4): 531-556.
[15] 李子丰. 钻柱涡动理论研究的必由之路——钻井液动力润滑学与钻柱动力学相结合[J]. 石油学报. 2013(03): 607-610.
LI Zifeng. An inevitable way in drill-string whirling research: combination of drilling fluid power lubrication with drill string dynamics[J]. Acta Petrolei Sinica, 2013, 34(3): 607-610.
[16] 管志川,邵冬冬,温欣,等. 水平井眼中旋转钻柱运动特性的实验研究[J]. 工程力学. 2013(05): 340-345.
 Guan Z, Shao D, Wen X, et al. Experimental research on motion states of bottom drilling string in horizontal well[J]. Engineering mechanics. 2013(5): 340-345.
[17] Fritz R J. The Effects of an Annular Fluid on the Vibrations of a Long Rotor, Part 1—Theory[J]. Journal of Fluids Engineering. 1970, 92(4).
 

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