Study of the influences of rotary table speed on stick-slip vibration of the drilling system

Abstract

Stick-slip vibration presents one of the major causes of drilling problems, such as premature tool failures, low drilling efficiency and poor wellbore quality. The objective of this work is to investigate the influences of rotary table speed (RTS) on stick-slip phenomenon of the drilling system. In this study, the drilling system is treated as a lumped torsional pendulum model of which the bit/rock interaction is regarded as Coulomb friction. By analyzing cases with different RTS, two types of vibrations on the bit are found: stick-slip vibration and uniform motion. With an increase in the RTS, the stick-slip vibration on the drill bit disappears once the RTS arrives at its critical value. For the cases that stick-slip vibrations occur, the phase trajectories converge toward a limit cycle. For the cases that stick-slip vibration does not appear, the drill bit tends to stabilize at a uniform motion and the phase trajectories correspond to contracting spirals observed in the phase plane.

Keywords

Stick-slip vibration / Rotary table speed / Drillstring / Drill bit / Frictional torque / Limit cycle

Acknowledgments

This research is Supported by the National Natural Science foundation of China (Grant No. 51222406), New Century Excellent Talents in University of China (NCET-12-1061), Scientific Research Innovation Team Project of Sichuan Colleges and Universities (12TD007), Youth Scientific Research Innovation Team Project of Sichuan Province (2014TD0025), the key projects of academic and technical leaders cultivate Fund in Sichuan Province, China (2011-441-zxh).

References

[1] B.L. Van de vrande, D.H. Van campen, A. De Kraker, An approximate analysis of dry friction induced stick slip vibrations by a smoothing procedure, Nonlinear Dyn. 19 (2) (1999) 157-169.

[2] J. Kang, C.M. Krousgrill, F. Sadeghi, Wave pattern motion and stick slip limit cycle oscillation of a disc brake, J. Sound Vib. 325 (3) (2009) 552-564.

[3] M. Denny, Stick-slip motion: an important example of self-excited oscillation, Eur. J. Phys. 25 (2) (2004) 311-322.

[4] Y.S. Tarnga, H.E. Chenga, An investigation of stick-slip friction on the contouring accuracy of CNC machine tools, Int. J. Mach. Tool. Manuf. 35 (4) (1995) 565-576.

[5] A. Wang, Q. Long, Forced response characteristics of bladed disks with mistuning non-linear friction, J. Cent. South Univ. 18 (3) (2011) 679-684.

[6] U. Galvanetto, S.R. Bishop, Dynamics of a simple damped oscillator undergoing stick slip vibrations, Meccanica 34 (5) (1999) 337-347.

[7] J.J. Thomsen, A. Fidlin, Analytical approximations for stick slip vibration amplitudes, Int. J. Non-Linear Mech. 38 (3) (2003) 389-403.

[8] Y.A. Khulief, F.A. Al-Sulaiman, S. Bashmal, Vibration analysis of drillstrings with self-excited stick-slip oscillations, J. Sound Vib. 299 (3) (2007) 540-558.

[9] L.W. Ledgerwood, J.R. Jain, O.J. Hoffmann, R.W. Spencer, Downhole measurement and monitoring lead to an enhanced understanding of drilling vibrations and polycrystalline diamond compact bit damage, SPE Drill. Complet. 28 (3) (2013) 254-262.

[10] X. Zhu, L. Tang, H. Tong, Effects of high-frequency torsional impacts on rock drilling, Rock Mech. Rock Eng. 47 (4) (2014) 1345-1354.

[11] X. Zhu, L. Tamg, Q. Yang, A Literature review of approaches for stick-slip vibration suppression in oilwell drillstring, Adv. Mech. Eng. 6 (2014) 967952.

[12] T. Richard, C. Germay, E. Detournay, A simplified model to explore the root cause of stick slip vibrations in drilling systems with drag bits, J. Sound Vib. 35 (3) (2007) 432-456.

[13] J. Abdo, A.A. Abouelsoud, Analytical approach to estimate amplitude of stick-slip oscillations, J. Theor. App. Mech. 49 (4) (2011) 971-986.

[14] A. Kyllingstad, G.W. Halsey, A study of slip/stick motion of the bit, SPE Drill. Eng. 3 (4) (1988) 369-373.

[15] J.F. Brett, The genesis of torsional drillstring vibrations, SPE Drill. Eng. 7 (3) (1992) 168-174.

[16] N. Mihajlovic, A.A. Van Veggel, N. Van de Wouw, H. Nijmeijer, Analysis of friction-induced limit cycling in an experimental drillstring system, J. Dyn. Syst. T. ASME 126 (4) (2004) 709-720.

[17] C.M. Liao, B. Balachandran, M. Karkoub, Y.L. Abdel-Magid, Drillstring dynamics: reduced order models and experimental studies, J. Vib. Acoust. 133 (4) (2011) 041008.

[18] R. Rommetveit, K.S. BjØrkevoll, G.W. Halsey,Drilltronics: an integarated system for real-time optimization of the drilling process,in:Paper IADC/SPE 87124 Presented at the IADC/SPE Drilling Conference, Dallas, USA, 2e4 March 2004.

[19] M. Zamaian, S.E. Khadem, M.R. Ghazavi, Stick-slip oscillations of drag bits by considering damping of drilling mud and active damping system, J.Petrol. Sci. Eng. 59 (3) (2007) 289-299.

[20] A. Baumgart, Stick slip and bit bounce of deep hole drillstrings, J. Energy Resour. Technol. 122 (2) (2000) 78-82.

[21] V.I. Gulyaev, P.Z. Lugovoi, V.V. Gaidaichuk, I.L. Solov’ev, I.V. Gorbunovich, Effect of the length of a rotating drillstring on the stability of its quasistatic equilibrium, Int. Appl. Mech. 43 (9) (2007) 1017-1023.

[22] L. Tang, X. Zhu, Effects of the difference between the static and the kinetic friction coefficients on a drill string vibration linear approach, Arab. J. Sci. Eng. (2015), http://dx.doi.org/10.1007/s13369-015-1855-y.

[23] E.M. Navarro-Lopez, D. Cortes, Avoiding harmful oscillations in a drillstring through dynamical analysis, J. Sound Vib. 307 (1) (2007) 152-171.

[24] E.M. Navarro-Lopez, An alternative characterization of bit sticking phenomena in a multi degree of freedom controlled drillstring, Nonlinear Anal. Real 10 (5) (2009) 3162-3174.

[25] B. Saldivar, S. Mondie, J.J. Loiseau, V. Rasvan, Stick-slip oscillations in oilwell drillstrings: distributed parameter and neutral type retarded model approaches, August 28-September 2, in:Proceedings of the 18th International Federation of Automatic Control World Congress, 2011, pp. 284-289.

[26] P.A. Patil, C. Teodoriu, Model development of torsional drillstring and investigating parametrically the stick slips influencing factors, J. Energy Resour. Technol. 135 (1) (2013) 013103.

[27] N. Challamel, H. Sellami, E. Chenevez, L. Gossuin,A stick-slip analysis based on rock/bit interaction: theoretical and experimental contribution,in:Paper IADC/SPE 59230 Presented at the 2000 IADC/SPE Drilling Conference, New Orieans, USA, 23e25 February 2000.

[28] G. Pelfrene, H. Sellami, L. Gerbaud, Mitigating stick-slip in deep drilling based on optimization of PDC bit design, in: Paper SPE/IADC Drilling Conference and Exhibition, Amsterdam, the Netherlands, 1-3 March 2011.

[29] M.J. Fear, F. Abbassian, S.H.L. Parfitt, A. McClean, The destruction of PDC bits by severe slip-stick vibration, in: Paper SPE/IADC Drilling Conference, Amsterdam, the Netherlands, 4-6 March 1997.

[30] M. Karkoub, Y.A. Magid, B. Balachandran, Drill string torsional vibration suppression using GA optimized controllers, J. Can. Petrol. Technol. 48 (12) (2009) 32-38.