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Suppression of drill-string stick–slip vibration by sliding mode control: Numerical and experimental studies

Published online by Cambridge University Press:  18 May 2018

VAHID VAZIRI ,
MARCIN KAPITANIAK  and
MARIAN WIERCIGROCH
VAHID VAZIRI
Affiliation:
Centre for Applied Dynamics Research, School of Engineering, University of Aberdeen, Aberdeen AB24 3UE, UK emails: vahid.vaziri@abdn.ac.uk, marcin.kapitaniak@abdn.ac.uk, m.wiercigroch@abdn.ac.uk
MARCIN KAPITANIAK
Affiliation:
Centre for Applied Dynamics Research, School of Engineering, University of Aberdeen, Aberdeen AB24 3UE, UK emails: vahid.vaziri@abdn.ac.uk, marcin.kapitaniak@abdn.ac.uk, m.wiercigroch@abdn.ac.uk
MARIAN WIERCIGROCH
Affiliation:
Centre for Applied Dynamics Research, School of Engineering, University of Aberdeen, Aberdeen AB24 3UE, UK emails: vahid.vaziri@abdn.ac.uk, marcin.kapitaniak@abdn.ac.uk, m.wiercigroch@abdn.ac.uk
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Abstract

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We investigate experimentally and numerically suppression of drill-string torsional vibration while drilling by using a sliding mode control. The experiments are conducted on the novel experimental drill-string dynamics rig developed at the University of Aberdeen (Wiercigroch, M., 2010, Modelling and Analysis of BHA and Drill-string Vibrations) and using commercial Polycrystalline Diamond Compact (PDC) drill-bits and rock-samples. A mathematical model of the experimental setup, which takes into account the dynamics of the drill-string and the driving motor, is constructed. Physical parameters of the experimental rig are identified in order to calibrate the mathematical model and consequently to ensure robust predictions and a close agreement between experimental and numerical results for stick–slip vibration is shown. Then, a sliding mode control method is employed to suppress stick–slip vibration. A special attention is paid to prove the Lyapunov stability of the controller in presence of model parameter uncertainties by defining a robust Lyapunov function. Again experimental and numerical results for the control cases are in a close agreement. Stick–slip vibration is eliminated and a significant reduction in vibration amplitude has been observed when using the sliding controller.

Keywords

Drill-string dynamicsstick–sliptorsional vibrationnonlinear behaviourexperimental studiesmathematical modellingsliding mode control
Type
Papers
Information
European Journal of Applied Mathematics , Volume 29 , Special Issue 5: Theory and applications of nonsmooth dynamical systems , October 2018 , pp. 805 - 825
Copyright
Copyright © Cambridge University Press 2018 

References

[1] Wiercigroch, M. (2010) Modelling and Analysis of BHA and Drill-string Vibrations. R&D project sponsored by the BG Group.Google Scholar
[2] Spanos, P., Chevallier, A., Politis, N. & Payne, M. (2003) Oil and gas well drilling: A vibrations perspective. Shock Vib. Dig. 35 (2), 81–99.Google Scholar
[3] Brett, J. (1992) The genesis of torsional drillstring vibrations. SPE Drill Eng. 7 (3), 168–174.Google Scholar
[4] Richard, T., Germay, C. & Detournay, E. (2007) A simplified model to explain the root cause of stick-slip vibrations in drilling systems with drag bits. J. Sound. Vib. 305, 432–456.Google Scholar
[5] Germay, C., Denoel, V. & Detournay, E. (2009) Multiple mode analysis of the self-excited vibrations of rotary drilling systems. J. Sound Vib. 325, 362–381.Google Scholar
[6] Besselink, B., van de Wouw, N. & Nijmeijer, H. (2011) A semi-analytical of stick-slip oscillations in drilling systems. ASME J. Comput. Nonlinear Dyn. 6, 021006–1–021006–9.Google Scholar
[7] Saldivar, B., Mondié, S., Niculescu, S.-I., Mounier, H. & Boussaada, I. (2016) A control oriented guided tour in oilwell drilling vibration modeling. Annu. Rev. Control 42, 100–113.Google Scholar
[8] Detournay, E. & Defourny, P. (1992) A phenomenological model for the drilling action of drag bits. Int. J. Rock Mech. Mining Sci. 29 (1), 13–23.Google Scholar
[9] Detournay, E., Richard, T. & Shepherd, M. (2008) Drilling response of drag bits: Theory and experiment. Int. J. Rock Mech. Min. Sci. 45, 1347–1360.Google Scholar
[10] Ghasemloonia, A., Geoff Rideout, D. & Butt, S. D. (2015) A review of drillstring vibration modeling and suppression methods. J. Pet. Sci. Eng. 131, 150–164.Google Scholar
[11] Navarro-López, E. & Licéaga-Castro, E. (2009) Non-desired transitions and sliding-mode control of a multi-DOF mechanical system with stick-slip oscillations. Chaos, Solitons Fractals 41 (4), 2035–2044.Google Scholar
[12] Navarro-López, E. & Cortés, D. (2007) Avoiding harmful oscillations in a drillstring through dynamical analysis. J. Sound Vib. 307 (1–2), 152–171.Google Scholar
[13] Navarro-López, E. M. & Suárez, R. (2004) Practical approach to modelling and controlling stick-slip oscillations in oilwell drillstrings. In: IEEE International Conference on Control Applications, pp. 1454–1460.Google Scholar
[14] Navarro-López, E. (2009) An alternative characterization of bit-sticking phenomena in a multi-degree-of-freedom controlled drillstring. Nonlinear Anal.: Real World Appl. 10 (5), 3162–3174.Google Scholar
[15] Liu, Y. (2015) Suppressing stick-slip oscillations in underactuated multibody drill-strings with parametric uncertainties using sliding-mode control. IET Control Theory Appl. 9 (1), 91–102.Google Scholar
[16] Vromen, T., Dai, C.-H., Van De Wouw, N., Oomen, T., Astrid, P. & Nijmeijer, H. (2015) Robust output-feedback control to eliminate stick-slip oscillations in drill-string systems. IFAC-papersonline 48 (6), 266–271.Google Scholar
[17] Vaziri Hamaneh, S. V. (2015) Dynamics and Control of Nonlinear Engineering Systems, PhD Thesis, University of Aberdeen, Aberdeen, UK.Google Scholar
[18] Navarro-López, E. & Carter, R. (2016) Deadness and how to disprove liveness in hybrid dynamical systems. Theor. Comput. Sci. 642, 1–23.Google Scholar
[19] Zhu, X., Tang, L. & Yang, Q. (2014) A literature review of approaches for stick-slip vibration suppression in oilwell drillstring. Adv. Mech. Eng. 6, 967952.Google Scholar
[20] Wu, X., Paez, L. C., Partin, U. T. & Agnihotri, M. (2010) Decoupling stick/slip and whirl to achieve breakthrough in drilling performance. In: SPE/IADC Drilling Conference, SPE-128767-MS.Google Scholar
[21] Patil, P. A. & Teodoriu, C. (2013) A comparative review of modelling and controlling torsional vibrations and experimentation using laboratory setups. J. Pet. Sci. Eng. 112, 227–238.Google Scholar
[22] Jansen, J. & van den Steen, L. (1995) Active damping of self-excited torsional vibrations in oil well drillstrings. J. Sound Vib. 179 (4), 647–668.Google Scholar
[23] Serrarens, A., van de Molengraft, M., Kok, J. & van den Steen, L. (1998) H∞ control for suppressing stick-slip in oil well drillstrings. IEEE Control Syst. Mag. 18 (2), 19–30.Google Scholar
[24] Al Sairafi, F. A., Al Ajmi, K. E., Yigit, A. S. & Christoforou, A. P. (2016) Modeling and control of stick slip and bit bounce in oil well drill strings. In: SPE/IADC Middle East Drilling Technology Conference and Exhibition, SPE-178160-MS.Google Scholar
[25] Pehlivanturk, C., Chen, D. & van Oort, E. (2017) Torsional drillstring vibration modelling and mitigation with feedback control. In: SPE/IADC Drilling Conference and Exhibition, SPE-184697-MS.Google Scholar
[26] Tucker, R. & Wang, C. (1999) On the effective control of torsional vibrations in drilling systems. J. Sound Vib. 224, 101–122.Google Scholar
[27] Navarro-López, E. & Cortés, D. (2007) Sliding-mode control of a multi-DOF oilwell drillstring with stick-slip oscillations. In: Proceedings of the American Control Conference, p. 3837.Google Scholar
[28] Hernandez-Suarez, R., Puebla, H., Aguilar-Lopez, R. & Hernandez-Martinez, E. (2009) An integral high-order sliding mode control approach for stick-slip suppression in oil drillstrings. Pet. Sci. Technol. 27 (8), 788–800.Google Scholar
[29] Bayliss, M. T., Panchal, N. & Whidborne, J. (2012) Rotary steerable directional drilling stick/slip mitigation control. IFAC Proc. Vol. 45 (8), 66–71.Google Scholar
[30] Gabler, T. & Bakenov, A. (2003) Enhanced drilling performance through controlled drillstring vibrations. In: AADE Technical Conference, AADE-03-NTCE-21, pp. 1–8.Google Scholar
[31] Carlos-de-Wit, C., Corchero, M. A., Rubio, F. R. & Navarro-López, E. M. (2005) D-OSKIL: A new mechanism for suppressing stick-slip in oil well drillstrings. In: 44th IEEE Conference on Decision and Control, pp. 8260–8265.Google Scholar
[32] Lu, H., Dumon, J. & Canudas-de-Wit, C. (2009) Experimental study of the D-OSKIL mechanism for controlling the stick-slip oscillations in a drilling laboratory testbed. In: IEEE Multi-Conference on Systems and Control.Google Scholar
[33] Puebla, H. & Alvarez-Ramirez, J. (2008) Suppression of stick-slip in drillstrings: A control approach based on modeling error compensation. J. Sound Vib. 310, 881–901.Google Scholar
[34] Hong, L., Girsang, I. P. & Dhupia, J. S. (2016) Identification and control of stick-slip vibrations using Kalman estimator in oil-well drill strings. J. Pet. Sci. Eng. 140, 119–127.Google Scholar
[35] Mihajlović, N., Van Veggel, A., van de Wouw, N. & Nijmeijer, H. (2004) Analysis of friction-induced limit cycling in an experimental drill-string system. ASME J. Dyn. Syst., Meas, Control 126 (4), 709–720.Google Scholar
[36] Liao, C., Balachandran, B. & Karkoub, M. (2009) Drillstring dynamics: Reduced-order models. In: ASME International Mechanical Engineering Congress and Exposition (IMECE 2009-10339).Google Scholar
[37] Melakhessou, H., Berlioz, A. & Ferraris, G. (2003) A nonlinear well-drillstring interaction model. Trans. ASME J. Vib. Acoust. 125 (1), 46–52.Google Scholar
[38] Khulief, Y. A. & Al-Sulaiman, F. A. (2009) Laboratory investigation of drill-string vibration. Proc. IMech E, Part C: J. Mech. Eng. Sci. 223, 2249–2262.Google Scholar
[39] Raymond, D. W., Elsayed, M. A., Polsky, Y. & Kuszmaul, S. S. (2008) Laboratory simulation of drill bit dynamics using a model-based servohydraulic controller. J. Energy Resour. Technol. 130 (4), 043103.Google Scholar
[40] Hoffmann, O. (2006) Drilling Induced Vibration Apparatus, PhD Thesis, University of Minnesota, Minnesota, US.Google Scholar
[41] Franca, L. F. (2010) Drilling action of roller-cone bits: Modeling and experimental validation. J. Energy Resources Technol. 132 (4), 043101.Google Scholar
[42] Kapitaniak, M., Vaziri Hamaneh, S., Páez Chávez, J., Nandakumar, K. & Wiercigroch, M. (2015) Unveiling complexity of drill-string vibrations: Experiments and modelling. Int. J. Mech. Sci. 101–102, 324–337.Google Scholar
[43] Slotine, J. & Weiping, L. (1991) Applied Nonlinear Control, Prentice-Hall, Englewood Cliffs, NJ, US.Google Scholar