The self-excited stick-slip oscillations of oilwell drillstrings are attributed to the nonlinear interaction between the drill-bit and the rock formation. Development of more accurate models will lead to improved predictions allowing more potential for successful suppression of the drillstring vibrations, thus reducing damage to the drilling system, prevention of expensive failures and increased output from the oilwell. In this paper, the effect of the transition from static friction to Coulomb friction on modelling of stick-slip phenomenon of oil well drill string is investigated through an analysis of the so called ‘decay factor’. Based on a distributed-lumped parameter model (DLPM) of the drilling system, the governing equations of motion for the system are obtained. By using different values of decay factor (low, high and medium), the stick-slip vibrations of the drill string are validated against published data from full-scale drill strings. The results from the simulation show that lowering the decay factor increases the critical speed and thus reduces the propensity for stick slip motion. However, a reduction in the decay factor also has the effect of inducing worse stick-slip motion once the critical speed has been reached. The results indicate the wider impact of both correct modelling of the decay factor, but also the importance of correct characterisation of the mud viscosity and drill/well contact for more accurate selection of drilling parameters in the field.
Declaration of competing interests
The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Acknowledgements
This research is supported by the Ministry of Higher Education and Scientific Research of Iraq and Technical Institute Baqubah, Middle Technical University, Iraq.
| [1] |
J.S. Mason, B.M. Sprawls, Addressing BHA whirl: the culprit in mobile bay, SPE Drilling and Completion 13 ( 4) (1998) 231-236.
|
| [2] |
J.D. Macpherson, J.S. Mason, J.E.E. Kingman, Surface measurement and analysis of drillstring vibrations while drilling, in: Proceedings of the 1993 SPE/IADC Drilling Conference, February 23, 1993 -February 25, 1993, Publ by Soc of Petroleum Engineers of AIME, in Drilling Conference -Proceedings, Amsterdam, Neth, 1993, pp. 953-963.
|
| [3] |
V.A. Dunayevsky, F. Abbassian, A. Judzis, Dynamic stability of drillstrings under fluctuating weight on bit, SPE Drilling and Completion 8 ( 2) (1993) 84-92.
|
| [4] |
Y. Kovalyshen, A simple model of bit whirl for deep drilling applications, Journal of Sound and Vibration 332 (24) (2013) 6321-6334, https://doi.org/10.1016/j.jsv.2013.07.001. (Accessed 25 November 2013).
|
| [5] |
A.P. Christoforou, A.S. Yigit, Fully coupled vibrations of actively controlled drillstrings, Journal of Sound and Vibration 267 ( 5) (11/6/2003) 1029-1045, https://doi.org/10.1016/S0022-460X(03)00359-6.
|
| [6] |
Y.A. Khulief, F.A. Al-Sulaiman, S. Bashmal, Vibration analysis of drillstrings with self-excitedstickeslip oscillations, Journal of Sound and Vibration 299 (3) (2007) 540-558, https://doi.org/10.1016/j.jsv.2006.06.065. (Accessed 23 January 2007).
|
| [7] |
G. Mensa-Wilmot, M. Booth, A. Mottram,New PDC bit technology and improved Operational practices, in:Presented at the SPE/IADC Drilling Conference, 2000. New Orleans.
|
| [8] |
F. Abdulgalil, H. Siguerdidjane, PID based on sliding mode control for rotary drilling system, in: Presented at the EUROCON 2005 -the International Conference on Computer as a Tool, November 21, 2005 -November 24, 2005, 2005. Belgrade, Yugoslavia.
|
| [9] |
Y.A. Khulief, F.A. Al-Sulaiman, S. Bashmal, Modeling of stick-slip in multibody drilling systems, Long Beach, CA, United states, in:r 24, 2005 -September 28, 2005, 6 BAmerican Society of Mechanical Engineers, 2005, pp. 1237-1244. Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference -DETC2005.
|
| [10] |
R. Duff,An experimental and computational investigation of rotating flexible shaft system dynamics in rotary drilling assemblies for down hole drilling vibration mitigation, PhD thesis, in:The Craft and Hawkins Department of Petroleum Engineering, Graduate Faculty of the Louisiana State University and Agricultural and Mechanical College, 2013.
|
| [11] |
R.I. Leine, D.H. Van Campen, Stick-slip whirl interaction in drillstring dynamics, in: IUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mechanics: Proceedings of the IUTAM Symposium Held in Rome, Italy, 8-13 June 2003, vol. 122, Springer Verlag, in Solid Mechanics and its Applications, 2005, pp. 287-296, https://doi.org/10.1007/1-4020-3268-4-27.
|
| [12] |
A. Sassan, B. Halimberdi, Design of a controller for suppressing the stick-slip oscillations in oil well drillstring, Research Journal of Recent Science 2 (6) (2013) 78-82.
|
| [13] |
J.F. Brett, The genesis of torsional drillstring vibrations, SPE Drilling Engineering 7 (1992) 169-174.
|
| [14] |
S. Jardine, D. Malone, M. Sheppard, Putting dampers on drilling's bad vibrations, Oilfield Rev 6 (1) (1994) 15-20.
|
| [15] |
A.P. Christoforou, A.S. Yigit,Active control of stick-slip vibrations: the role of fully coupled dynamics, in: Presented at the SPE Middle East Oil Show, March 17, 2001 -March 20, 2001, Bahrain, Bahrain, 2001.
|
| [16] |
A.S. Yigit, A.P. Christoforou, Coupled torsional and bending vibrations of actively controlled drillstrings, Journal of Sound and Vibration 234 ( 1) (2000) 67-83, https://doi.org/10.1006/jsvi.1999.2854.
|
| [17] |
L. Tang, X. Zhu, X. Qian, C. Shi, Effects of weight on bit on torsional stick-slip vibration of oilwell drill string, Iranian Journal of science and Technology, Transactions of Mechanical Engineering 31 (2017) 4589-4597.
|
| [18] |
L. Tang, X. Zhu, C. Shi, J.T. Tang, D. Xu, Study of the influences of rotary table speed on stick-slip vibration of the drilling system, Petroleum 1 (2015) 382-387.
|
| [19] |
J.R. Jain, L.W. Ledgerwood, O.J. Hoffmann, T. Schwefe, D.M. Fuselier, Mitigating torsional stick/slip vibrations in oilwell drilling through PDC-bit design: putting theories to the test, JPT, Journal of Petroleum Technology 63 (12) (2011) 79-80.
|
| [20] |
G.W. Halsey, A. Kyllingstad, A. Kylling, Torque feedback used to cure slip-stick motion, in: Presented at the Proceedings: 1988 SPE Annual Technical Conference and Exhibition, October 2, 1988 -October 5, 1988, 1988. Houston, TX, USA.
|
| [21] |
V.S. Dubinsky, D.R. Baecker, Interactive drilling dynamics simulator for drilling optimization and training, in: Presented at the Proceedings of the 1998 SPE Technical Conference and Exhibition. Part Omega, September 27, 1998 -September 30, 1998, 1998. New Orleans, LA, USA.
|
| [22] |
P.C. Kriesels, et al., Cost savings through an integrated approach to drillstring vibration control,in: Presented at the in the SPE/IADC Middle East Drilling Technology Conference, 1999. Abu Dhabi.
|
| [23] |
C.A. Guerrero, B.J. Kuli,Deployment of an SeROP predictor tool for real-time bit optimization, in:Presented at the SPE/IADC Drilling Conference and Exhibition 2007, February 20, 2007 -February 22, 2007, 2007. Amsterdam, Netherlands.
|
| [24] |
X. Zhu, L. Tang, Q. Yang, A literature review of approaches for stick-slip vibration suppression in oilwell drillstring, Advances in Mechanical Engineering 6 (2015) 967952, https://doi.org/10.1155/2014/967952, 967952.
|
| [25] |
J.C.R. Placido, H.M.R. Santos, Y.D. Galeano, Drillstring vibration and wellbore instability, Journal of Energy Resources Technology, Transactions of the ASME 124 (4) (2002) 217-222, https://doi.org/10.1115/1.1501302.
|
| [26] |
B. Paic, N. Gaurina-Medimurec, D. Matanovic, Wellbore instability: causes and consequences, Rudarsko Geolosko Naftni Zbornik 19 (2007) 87-98.
|
| [27] |
H. Henneuse, Surface detection of vibrations and drilling optimization: field experience,in:Presented at the Drilling Conference -Proceedings, February 18, 1992 -February 21, 1992, 1992. New Orleans, LA, USA.
|
| [28] |
T.M. Warren, J.H. Oster, Torsional resonance of drill collars with PDC bits in hard rock, in: Presented at the Proceedings of the 1998 SPE Technical Conference and Exhibition. Part Omega, September 27, 1998 -September 30, 1998, 1998. New Orleans, LA, USA.
|
| [29] |
J.D. Macpherson, P.N. Jogi, J.E.E. Kingman, Application and analysis of simultaneous near bit and surface dynamics measurements, SPE Drilling and Completion 16 ( 4) (2001) 230-238.
|
| [30] |
B. Besselink, N. Van De Wouw, H. Nijmeijer, A semi-analytical study of stickslip oscillations in drilling systems, Journal of Computational and Nonlinear Dynamics 6 (2) (2011), https://doi.org/10.1115/1.4002386.
|
| [31] |
J.R. Bailey, E. Biedigner, S. Sundararaman, A.D. Carson, W.C. Elks, F.E. Dupriest, Development and application of BHA vibrations model, in: Presented at thein: Proceedings of the International Petroleum Technology Conference, 2008. Kuala Lumpur, Malaysia.
|
| [32] |
A. Ghasemloonia, D. Geoff Rideout, S.D. Butt, A review of drillstring vibration modeling and suppression methods, Journal of Petroleum Science and Engineering 131 (2015) 150-164, https://doi.org/10.1016/j.petrol.2015.04.030.
|
| [33] |
S.L. Chen, K. Blackwood, E. Lamine, Field investigation of the effects of stickslip, lateral, and whirl vibrations on roller-cone bit performance, SPE Drilling and Completion 17 ( 1) (2002) 15-20.
|
| [34] |
P.A. Patil, C. Teodoriu, Model development of torsional drillstring and investigating parametrically the stick slips influencing factors, ASME J. Energy Resour. Technol. 135 (1) (2013), 0131031-0131037.
|
| [35] |
Y.-Q. Lin, Y.-H. Wang, Stick-slip vibration of drill strings, Journal of engineering for industry 113 (1) (1991) 38-43.
|
| [36] |
M.Y.A. Alkaragoolee, K.M. Ebrahimi, R. Whalley, A hybrid model for a drilling process for hydrocarbon well-boring operations, Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics (2017) 1-13, vol. 0, no. 0.
|
| [37] |
B. Armstrong-Helouvry, P. Dupont, C. Canudas De Wit, Survey of models, analysis tools and compensation methods for the control of machines with friction, Automatica 30 (7) (1994) 1083-1138, https://doi.org/10.1016/0005-1098(94)90209-7.
|
| [38] |
D. Pavković, J. Deur, A. Lisac, A torque estimator-based control strategy for oilwell drill-string torsional vibrations active damping including an auto-tuning algorithm, Control Engineering Practice 19 (8) (8// 2011) 836-850, https://doi.org/10.1016/j.conengprac.2011.04.012.
|
| [39] |
M.Y.A. Alkaragoolee, Hybrid Modelling and Optimisation of Oil Well Drillstrings, Phd, in: Faculty of Engineering and Informatics, University of Bradford, Bradford, UK, 2018.
|
| [40] |
V.S. Tikhonov, A.I. Safronov, Analysis of postbuckling drillstring vibrations in rotary drilling of extended-reach wells, Journal of Energy Resources Technology, Transactions of the ASME 133 (4) (2011), https://doi.org/10.1115/1.4005241.
|
| [41] |
E.M. Navarro-Lopez a. R. Suarez-Cortez,Modelling and analysis of stick-slip behaviour in a drillstring under dry friction, in:Presented at the Congress of the Mexican Association of Automatic Control, 2004. Mexican.
|
| [42] |
D. Karnopp, Computer simulation of stick-slip friction in mechanical dynamic systems, Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME 107 (1) (1985) 100-103.
|
| [43] |
R.I. Leine, Bifurcations in Discontinuous Mechanical Systems of Filippov-type, Ph.D. Thesis, Technical University of Eindhoven, Netherlands, 2000.
|
| [44] |
E.M. Navarro-López, E. Licéaga-Castro, Non-desired transitions and slidingmode control of a multi-DOF mechanical system with stick-slip oscillations, Chaos, Solitons and Fractals 41 (4) (2009) 2035-2044, https://doi.org/10.1016/j.chaos.2008.08.008.
|
| [45] |
J.D. Jansen, L. van den Steen, Active damping of self-excited torsional vibrations in oil well drillstrings, Journal of Sound and Vibration 179 ( 4) (1995) 647-668, https://doi.org/10.1006/jsvi.1995.0042.
|
| [46] |
M. Dufeyte, H. Henneuse, Detection and monitoring of the slip-stick motion: field experiments,in: Presented at the in Proceedings of the SPE/IADC Drilling Conference, 1991. Amsterdam, The Netherlands, March, 1991.
|
| [47] |
L. Tang, X. Zhu, J. Li, Effects of the synchronous variation of the static and the kinetic FrictionCoefficients on stickeslip vibration of drillstring, Iranian Journal of science Technology, Transactions of Mechanical Engineering 43 (2019) S275-S283.
|
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