Abstract
Stick–slip vibration (SSV) in oilwell drillstring presents one of the primary reasons of drilling performance deterioration as it reduces rate of penetration, aggravates tool failures, reduces wellbore quality, and increases drilling cost. Although a number of research works have focused on this subject, there is not a commonly accepted explanation of its cause yet. In our previous work, influences of the difference between the static and the kinetic friction coefficients (DBSKFC) on SSV have been investigated, wherein the kinetic friction coefficient is constant, while the static friction coefficient is variable. Then, what we are interested in is how the SSV behaves if the DBSKFC is a constant, while the two friction coefficients change synchronously. In this paper, a linearized lumped parameter model is presented to try to answer this question. By establishing the dynamic model of the drill bit and referring to a group of parameters normally used in drilling field, the drill bit dynamics with different friction coefficient combinations are obtained and the effects of friction coefficients on SSV are discussed.
Similar content being viewed by others
References
Abdulgalil F, Siguerdidjane H (2004) Nonlinear friction compensation design for suppressing stick slip oscillations in oil well drillstrings, In: Proceeding of “5th Asian Control” conference, Melbourne, Australia
Belokobyl’skii SV, Prokopov VK (1982) Friction induced self-excited vibration of drill rig with exponential drag law. Prikl Mekh 18:1134–1138
Berger EJ (2002) Friction modeling for dynamic system simulation. Appl Mech Rev 55:535–577
Besselink B, Van de Wouw N, Nijmeijer H (2011) A semi-analytical study of stick-slip oscillations in drilling systems. ASME J Comput Nonlinear Dyn 6:0210061–0210069
Challamel N (2000) Rock destruction effect on the stability of a drilling structure. J Sound Vib 233:235–254
Cunha-Lima LC, Aguiar RR, Ritto TG, Hbaieb S (2015) Analysis of the torsional stability of a simplified drillstring. In: Proceedings of the XVII international symposium on dynamic problems of mechanics, Natal, Brazil
Dawson R, Lin YQ, Spanos PD (1987) Drill-string stick-slip oscillations. In: Proceedings of “1987 SEM experimental mechanics” conference. Houston, pp 590–595
FAG (1986) Rolling bearings and their contribution to the process of technology, Lewis Books Ltd., Surrey, U.K. and FAG Kugelfisher Georg Schäfer KGaA, Schweinfurt, West Germany
Franca LFP, Weber HI (2004) Experimental and numerical study of a new resonance hammer drilling model with drift. Chaos Soliton Fract 21:789–801
Ghasemloonia A, Rideout DG, Butt SD (2015) A review of drillstring vibration modeling and suppression methods. J Petrol Sci Eng 131:150–164
Gulyaev VI, Khoudolii SN, Glushakova OV (2009) Self-excitation of deep well drillstring torsional vibrations. Strength Mater 41:613–622
Khulief YA, Al-Sulaiman FA, Bashmal S (2007) Vibration analysis of drillstrings with self-excited stick slip oscillations. J Sound Vib 299:540–558
Kyllingstad A, Halsey GW (1988) A study of slip/stick motion of the bit. SPE Drill Eng 3:369–373
Leine RI, van Campen DH, Keultjes WJG (2002) Stick-slip whirl interaction in drillstring dynamics. ASME J Vib Acoust 124:209–220
Lin YQ, Wang YH (1991) Stick slip vibration of drill strings. ASME J Eng Ind 113:38–43
Liu X, Vlajic N, Long X, Meng G, Balachandran B (2013) Nonlinear motions of a flexible rotor with a drill bit: stick-slip and delay effects. Nonlinear Dyn 72:61–77
Meglio FD, Aarsnes UJF (2015) A distributed parameter systems view of control problems in drilling. IFAC Papers Online 48:272–278
Navarro-López EM, Castro EL (2009) Non-desired transitions and sliding mode control of a muti-DOF mechanical system with stick slip oscillations. Chaos Soliton Fract 41:2035–2044
Navarro-López EM, Cortés D (2007a) Avoiding harmful oscillations in a drillstring through dynamical analysis. J Sound Vib 307:152–171
Navarro-López EM, Cortés D (2007) Sliding-mode control of a multi-DOF oilwell drillstring with stick-slip oscillations. In: Proceedings of the American control conference, New York
Patil PA, Teodoriu C (2013a) A comparative review of modelling and controlling torsional vibrations and experimentation using laboratory setups. J Petrol Sci Eng 112:227–238
Patil PA, Teodoriu C (2013b) Model development of torsional drillstring an investigating parametrically the stick-slips influencing factors. ASME J Energy Resour Technol 135:0131031–0131037
Richard T, Germay C, Detournay E (2007) A simplified model to explore the root cause of stick slip vibrations in drilling systems with drag bits. J Sound Vib 305:432–456
Ritto TG, Escalante MR, Sampaio R, Rosales MB (2013) Drillstring horizontal dynamics with uncertainty on the frictional force. J Sound Vib 332:145–153
Rudat J, Dashevskiy D (2011) Development of an innovative model based stick slip control system. In: Proceedings of “SPE/IADC Drilling” conference. Amsterdam, pp 1–12
Saldivar B, Mondié S, Loiseau JJ, Rasvan V (2011) Stick-slip oscillations in oilwell drillstrings: distributed parameter and neutral type retarded model approaches. In: Proceedings of “18th IFAC World” congress, Milano, Italy
Tang L, Zhu X (2015) Effects of the difference between the static and kinetic friction coefficient on a drill string vibration linear approach. Arab J Sci Eng 40:3723–3729
Tang L, Zhu X, Shi C, Tang J, Xu D (2015) Study of the influences of rotary table speed on stick-slip vibration of the drilling system. Petroleum 1:382–387
Tang L, Zhu X, Shi C, Sun J (2016) Investigation of the damping effect on stick-slip vibration of oil and gas drilling system. J Vib Eng Technol 4:79–86
Tang L, Zhu X, Qian X, Shi C (2017) Effects of weight on bit on torsional stick-slip vibration of oilwell drill string. J Mech Sci Eng 31:4589–4597
Zhu X, Tang L, Yang Q (2014) A literature review of approaches for stick-slip vibration suppression in oilwell drillstring. Adv Mech Eng 6:9679521–96795216
Acknowledgements
This research is supported by the Key Research Project of Sichuan Province (No. 2017GZ0365), Scientific Research Starting Project of SWPU (No. 2015QHZ011), Natural Science Foundation of China (No. 51674214), and Youth Scientific Research Innovation Team Project of Sichuan Province (2017TD0014).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Tang, L., Zhu, X. & Li, J. Effects of the Synchronous Variation of the Static and the Kinetic Friction Coefficients on Stick–Slip Vibration of Drillstring. Iran J Sci Technol Trans Mech Eng 43 (Suppl 1), 275–283 (2019). https://doi.org/10.1007/s40997-018-0156-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40997-018-0156-y