Abstract
The stick-slip phenomenon is a type of dysfunction detrimental to the drilling operation. Field application shows that stick-slip phenomenon is inclined to appear when using a large Weight on bit (WOB). In this paper, effects of the WOB on the stick-slip vibration are investigated. Based on a lumped torsional pendulum model of the drilling system, equation of motion of the drill bit is obtained. By using parameters commonly used in field applications, the bit dynamics are analyzed and the stick-slip vibrations are discussed. During the stick-slip motions, the negative damping effect occurs in the transition from the stick phase to the slip phase. With the increasing WOB, the bit behavior may change from the stable motion to the stick-slip vibration once the WOB reaches the critical value. In case of stick-slip vibration, the phase trajectory ultimately converges to a limit cycle which represents periodical bit motion. With increases in the WOB, the limit cycle enlarges. For cases without stick-slip vibrations, the drill bit vibrates damply and finally converges to a state of uniform motion. The results presented in this paper can be applied to interpret some of the field phenomena related to WOB.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
J. Kang, Finite element modeling for stick-slip pattern of squeal modes in disc brake, J. Mechanical Science and Technology, 28 (2014) 4021–4026.
X. Zhu, L. Tang and Q. Yang, A literature review of approaches for stick-slip vibration suppression in oilwell drill string, Advances in Mechanical Engineering, 6 (2014) 967952.
T. Richard, C. Germay and E. Detournay, A simplified model to explore the root cause of stick-slip vibrations in drilling system with drag bits, J. Sound and Vibration, 305 (2007) 432–456.
L. W. Ledgerwood, J. R. Jain, O. J. Hoffmann and R. W. Spencer, Downhole measurement and monitoring lead to an enhanced understanding of drilling vibrations and polycrystalline diamond compact bit damage, SPE Drilling & Completion, 28 (2013) 254–262.
A. Ghasemloonia, D. G. Rideout and S. D. Butt, A review of drill string vibration modeling and suppression methods, J. Petroleum Science and Engineering, 131 (2015) 150–164.
M. Kapitaniak, V. V. Hamaneh, J. P. Chávez, K. Nandakumar and M. Wiercigroch, Unveiling complexity of drillstring vibrations: experiments and modelling, Int. J. Mechanical Science, 101 (2015) 324–337.
L. A. Nazarova, L. A. Nazarov, I. N. Eltsov and V. A. Kindyuk, Geomechanics rock mechanics aspects in deep well drilling, J. Mining Science, 46 (2010) 593–599.
V. I. Gulyaev, S. N. Khudolii and V. Glushakova, Selfexcitation of deep-well drill string torsional vibrations, Strength of Materials, 41 (2009) 613–622.
V. I. Gulyayev and O. I. Borshch, Free vibrations of drill strings in hyper deep vertical bore-wells, J. Petroleum Science and Engineering, 78 (2011) 759–764.
P. A. Patil and C. Teodoriu, Model development of torsional drill string and investigating parametrically the stick slips influencing factors, ASME J. Energy Resour Technol, 135 (2013) 013103.
S. V. Belokobyl’skii and V. K. Prokopov, Friction induced self-excited vibration of drill rig with exponential drag law, International Applied Mechanics, 18 (1982) 1134–1138.
A. Kyllingstad and G. W. Halsey, A study of slip stick motion of the bit, SPE Drilling Engineering, 3 (1988) 369–373.
Y. Q. Lin and Y. H. Wang, Stick-slip vibration of drill string, J. Engineering Industry, 113 (1991) 38–43.
B. L. van de Vrande, D. H. van Campen and A. de Kraker, An approximate analysis of dry friction induced stick-slip vibrations by a smoothing procedure, Nonlinear Dynamics, 19 (1999) 157–169.
N. Mihajlovic, A. A. van Veggel, N. van de Wouw and H. Nijmeijer, Analysis of friction-induced limit cycling in an experimental drill string system, ASME J. Dynamics System, Measurement, and Control, 126 (2004) 709–720.
B. Besselink, N. Wouw and H. Nijmeijer, A semi-analytical study of stick-slip oscillations in drilling systems, ASME J. Computational and Nonlinear Dynamics, 6 (2011) 021006.
S. Divenyi, M. A. Savi, M. Wiercigroch and E. Pavlovskaia, Drill string vibration analysis using non-smooth dynamics approach, Nonlinear Dynamics, 70 (2012) 1017–1035.
S. L. Chen, K. Blackwood and E. Lamine, Field investigation of the effects of stick-slip, lateral, and whirl vibrations on roller cone bit performance, SPE Drilling and Completion, 17 (2002) 15–20.
H. Puebla and J. Alvarez-Ramirez, Suppression of stick-slip in drillstring: a control approach based on modeling error compensation, J. Sound and Vibration, 310 (2008) 881–901.
A. Kyllingstad and P. J. NessjØen, A new stick-slip prevention system, Proc. SPE/IADC Drilling Conference and exhibition, Amsterdam, The Netherlands (2009).
G. Pelfrene, H. Sellami and L. Gerbaud, Mitigating stickslip in deep drilling based on optimization of PDC bit design, Proc. of the SPE/IADC Drilling Conference and Exhibition, Amsterdam, The Netherlands (2011).
L. Tang, X. Zhu and C. Shi, Effects of high-frequency torsional impacts on mitigation of stick-slip vibration in drilling system, J. Vibration Engineering & Technologies, 5 (2017) 111–122.
X. Liu, N. Vlajic, X. Long, G. Meng and B. Balachandran, Nonlinear motions of a flexible rotor with a drill bit: stickslip and delay effects, Nonlinear Dynamics, 72 (2013) 61–77.
Y. A. Khulief, F. A. Al-Sulaiman and S. Bashmal, Vibration analysis of drill strings with self-excited stick-slip oscillations, J. Sound and Vibration, 299 (2007) 540–558.
Y. A. Khulief and H. Al-Naser, Finite element dynamic analysis of drill strings, Finite Elements in Analysis and Design, 41 (2005) 1270–1288.
L. C. Cunha Lima, R. R. Aguiar, T. G. Ritto and S. Hbaieb, Analysis of the torsional stability of a simplified drill string, Proc. of the XVII International Symposium on Dynamic Problems of Mechanics, Brazil (2015).
L. Tang and X. Zhu, Effects of the difference between the static and the kinetic friction coefficients on a drill string vibration linear approach, Arabian J. for Science and Engineering, 40 (2015) 3723–3729.
E. M. Navarro-López and D. Cortés, Avoiding harmful oscillations in a drill string through dynamical analysis, J. Sound and Vibration, 307 (2007) 152–171.
B. Saldivar, S. Mondie, J. J. Loiseau and V. Rasvan, Stickslip oscillations in oilwell drill strings: distributed parameter and neutral type retarded model approaches, Proc. the 18th International Federation of Automatic Control World Congress, Italy (2011).
E. M. Navarro-López and E. Licéaga-Castro, Non-desired transitions and sliding-mode control of a multi-DOF mechanical system with stick-slip oscillations, Chaos, Solitons and Fractals, 41 (2009) 2035–2044.
Author information
Authors and Affiliations
Corresponding author
Additional information
Recommended by Associate Editor Eung-Soo Shin
Liping Tang received his B.S. degree in process equipment and control from the Southwest University of Science and Technology in 2008, and M.S. and Ph.D. degrees in mechanical design and theory from Southwest Petroleum University of China, in 2012 and 2015, respectively. His main research interests include design of downhole drilling tools, drill string dynamics, and engineering mechanics.
Xiaohua Zhu received his B.S., M.S., Ph.D. degrees in mechanical design and theory from Southwest Petroleum University of China, in 2000, 2002, and 2005, respectively. He is currently a Professor at the School of Mechatronic Engineering in the Southwest Petroleum University, as well as a member of the Chinese Mechanical Engineering Society. His main research interests include design downhole drilling tools, drill string dynamics analysis, new methods for improving drilling efficiency.
Xudong Qian received his B.S. and Ph.D. degrees in Civil Engineering from National University of Singapore, in 2000 and 2005, respectively. Dr. Qian completed his post-doctoral research from University of Illinois at Urbana Champaign in 2007. He is currently an Associate Professor at the Department of Civil and Environmental Engineering in National University of Singapore. His research interests include nonlinear analysis of steel offshore platforms, fatigue and fracture assessments for critical structural components.
Changshuai Shi received his B.S. degree in process equipment and control from the Southwest University of Science and Technology in 2008, and M.S. and Ph.D. degrees in mechanical design and theory from Southwest Petroleum University of China, in 2011 and 2014, respectively. His main research interests include design of downhole drilling tools, fatigue of rubber component, and optimization of process craft of screw pump.
Rights and permissions
About this article
Cite this article
Tang, L., Zhu, X., Qian, X. et al. Effects of weight on bit on torsional stick-slip vibration of oilwell drill string. J Mech Sci Technol 31, 4589–4597 (2017). https://doi.org/10.1007/s12206-017-0905-7
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-017-0905-7