摘要在深部硬地层钻井领域，扭转振动工具具有破岩效果明显和抑制钻头黏滑的作用，但其相应的降黏机理和控制机理研究还不完善。为此，在现有通过扭转振动工具解决黏滑问题的基础之上，建立了钻柱系统的扭转振动方程，提出 U1和U2 两种滑模控制降黏方法,并在有工具作用时，结合理论方程、给定参数对两种控制方式的降黏效果进行了分析。结果表明：当存在参数摄动时，钻柱系统处于黏滑状态附近，参数的变化会导致钻柱系统的脆弱性，钻柱系统需要加以控制；两种滑模控制方式均能有效对钻柱的黏滑振动进行控制；通过对在不同条件下各控制器的控制性能、鲁棒性的对比可知，滑模控制方式 U 2整体控制性能较好，且滑模控制方式 U 2具有更强的鲁棒性，有利于提高钻柱系统的稳定性和可靠性。
Abstract：In the deep hard formation drilling field, the application of a torsional vibration tool has the effect of rock breaking and stick slip inhibiting, however, the study on the corresponding viscosity reduction mechanism and control mechanism has not yet been well provided.On the basis of a drill string system model with the torsional vibration tool, the effect of viscosity reduction of the stick-slip control method was studied.Two sliding mode control methods, U 1 and U 2, were designed.Making use of the control equations and giving proper parameters, the viscosity reduction effect and the stability of the two control modes were analyzed.The results show that both sliding mode control methods can effectively control the stick-slip vibration of the drill string.By comparing the control performance and robustness of the two controllers under different conditions, it is found the sliding mode control U 2 has better overall control performance and stronger robustness, which is beneficial to improve the stability and reliability of the drill string system.
田家林，周思奇，杨应林. 扭转振动工具滑模控制降黏分析[J]. 振动与冲击, 2020, 39(14): 186-193.
TIAN Jialin,ZHOU Siqi,YANG Yinglin. Viscosity reduction analysis of the sliding mode control of a drill string system with a torsional vibration tool. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(14): 186-193.
[1] 汪华成,董孟坤,王海涛,包成虎. 试论深井钻井技术的发展现状[J]. 中国石油和化工标准与质量,2014,34(10):67.
Wang Huacheng, Dong Mengkun, Wang Haitao, Bao Chenghu. On the development status of deep well drilling technology[J]. Petrochemical and Chemical Industry Standards and Quality, 2014, 34(10): 67.
[2] Khulief Y A, Al-Sulaiman F A, Bashmal S. Vibration analysis of drillstrings with self-excited stick–slip oscillations[J]. Journal of Sound & Vibration, 2007, 299(3):540-558.
[3] 吕苗荣,沈诗刚. 钻柱粘滑振动动力学研究[J]. 西南石油大学学报(自然科学版), 2014, 36(6):150-159.
Lü Miaorong, Shen Shigang. Study on the Dynamics of Viscous and Sliding Vibration of Drill String[J]. Journal of Southwest Petroleum University(Natural science section), 2014, 36(6): 150-159.
[4] Smith J H. Stick-slip vibration and is constitutive laws[J]. University of Cambridge, 1990, 65(7):9-35.
[5] Zhang Q Z , He Y Y , Li L , et al. Sliding Mode Control of Rotary Drilling System with Stick Slip Oscillation[C]// 2010 2nd International Workshop on Intelligent Systems and Applications. IEEE, 2010.
[6] Shi F , Li L , Zhang Q Z , et al. Derivative and Integral Sliding Mode Control for Rotary Drilling System[C]// Third International Conference on Measuring Technology & Mechatronics Automation. IEEE Computer Society, 2011.
[7] Liu Y . Suppressing stick-slip oscillations in underactuated multibody drill-strings with parametric uncertainties using sliding-mode control[J]. IET Control Theory and Applications, 2014, 9(1):91-102.
[8] Nandakumar K , Wiercigroch M . Stability analysis of a state dependent delayed, coupled two DOF model of drill-stringvibration[J]. Journal of Sound & Vibration, 2013, 332(10):2575-2592.
[9] Tian J, Yang Y, Dai L, Lin X. Kinetic characteristics analysis of a new torsional oscillator based on impulse response. Archive of Applied Mechanics, 2018, 88(10):1877-1891.
[10] 田家林, 张堂佳, 程文明, 等. 新型恒扭矩工具动力学模型与降黏机理研究[J]. 振动与冲击, 2018, 37(19):97-104.
Tian Jialin, Zhang Tangjia, Cheng Wenming, et al. Dynamics model and viscosity reduction mechanism of a new constant torque tool[J]. Journal of Vibration and Shock, 2018, 37(19): 97-104.
[11] Navarro-Lopez E M, Cortes D. Sliding-mode control of a multi-DOF oilwell drillstring with stick-slip oscillations[C]. American Control Conference. IEEE, 2007:3837-3842.
[12] Ritto T G, Soize C, Sampaio R. Non-linear dynamics of a drill-string with uncertain model of the bit–rock interaction[J]. International Journal of Non-Linear Mechanics, 2009, 44(8):865-876.
[13] El-Ghezawi O M E, Zinober A S I, Billings S A. Analysis and design of variable structure systems using a geometric approach[J]. International Journal of Control, 1982, 38(3):657-671.
[14] Castanos F, Fridman L. Analysis and design of integral sliding manifolds for systems with unmatched perturbations[J]. IEEE Transactions on Automatic Control, 2006, 51(5):853-858.
[15] 刘金琨. 滑模变结构控制MATLAB仿真[M]. 清华大学出版社, 2015.
Liu Jinxi. Sliding Mode Variable Structure Control MATLAB Simulation [M]. Tsinghua University Press, 2015.
[16] Lee J H, Youn M J. A new improved continuous variable structure controller for accurately prescribed tracking control of BLDD servo motors [J]. Automatica, 2004, 40(12):2069-2074.
[17] 高为炳,程勉. 变结构控制系统的品质控制[J]. 控制与决策, 1989(4):1-6.
Gao Weibing, Cheng Wei. Quality Control of Variable Structure Control System[J]. Control and Decision, 1989(4):1-6.
[18] J. J. SLOTINE, S. S. SASTRY. Tracking control of non-linear systems using sliding surfaces with application to robot manipulators[C]. American Control Conference. IEEE, 2009:132-135.
[19] Lasalle J P. The Stability of Dynamical Systems[J]. 1976, 27(11):1121 - 1130.
[20] 王文庆. 复杂系统自适应鲁棒控制[M]. 西北工业大学出版社, 2005.
Wang Wenqing. Adaptive Robust Control for Complex Systems [M]. Northwestern Polytechnical University Press, 2005.
