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Effects of Drill String Length on Stick–Slip Oscillation of the Oilwell Drill String

  • Liping Tang
  • Xiaohua ZhuEmail author
Research Paper
  • 30 Downloads

Abstract

It has been demonstrated by numerous field data that the stick–slip phenomenon tends to appear in deep wells. However, the explanation for this phenomenon has scarcely been studied. Based on a torsional pendulum model, the relationship between stick–slip oscillation and drill string (DS) length is studied in this work. Firstly, the drill bit (DB) dynamics are obtained by solving the kinetic motion of the DB. Secondly, case studies with different DS lengths are conducted by referring to the actual drilling parameters. Thirdly, results and discussions related to the case studies are carried out, including obtaining the DB dynamics, DB dynamics for different DS lengths, determination of the critical length, and plausible interpretation for the occurrence of stick–slip oscillation. Results show that two types of oscillation are obtained, e.g., oscillations with or without stick–slip phenomenon. In the cases of stick–slip, the state trajectories possess stable limit cycles. In the cases of no stick–slip, the state trajectories possess a spiral that denotes the DB motion tends to a stable phase (uniform motion).

Keywords

Stick–slip Drill string length Drill bit Limit cycle Frictional torque 

Notes

Acknowledgements

This research is supported by the Open Fund of Key Laboratory of Fluid and Dynamic Machinery (No. szjj2016-062), Open Fund of State Key Laboratory of Oil and Gas Reservoir and Exploitation (Southwest Petroleum University) (No. PLN 201619), Scientific Research Starting Project of SWPU (No. 2015QHZ011), National Natural Foundation of China (No. 51674214), Key Research Project of Sichuan Project (No. 2017GZ0365), and Youth Scientific Research Innovation Team Project of Sichuan Province (No. 2017TD0014).

References

  1. Abdo J, Abouelsoud AA (2011) Analytical approach to estimate amplitude of stick-slip oscillations. J Theor Appl Mech 49:971–986Google Scholar
  2. Albdiry MT, Almensory MF (2016) Failure analysis of drillstring in petroleum industry: a review. Eng Fail Anal 65:74–85CrossRefGoogle Scholar
  3. Awrejcewicz J, Holicke MM (1999) Melnikov’s method and stick-slip chaotic oscillations in very weakly forced mechanical systems. Int J Bifurc Chaos 9:505–518CrossRefzbMATHGoogle Scholar
  4. Awrejcewicz J, Olejnik P (2007) Occurrence of stick-slip phenomenon. J Theor Appl Mech 45:33–40Google Scholar
  5. Bakhtiari-Nejad F, Hosseinzadeh A (2017) Nonlinear dynamic stability analysis of the coupled axial-torsional motion of the rotary drilling considering the effect of axial rigid body dynamics. Int J Nonlinear Mech 88:85–96CrossRefGoogle Scholar
  6. Berger EJ (2002) Friction modeling for dynamic system simulation. ASME Appl Mech Rev 55:536–577CrossRefGoogle Scholar
  7. Breet JF (1992) The genesis of torsional drill string vibrations. SPE Drill Eng 7:168–174CrossRefGoogle Scholar
  8. Chen X, Fan H, Guo B, Gao D, Wei H, Ye Z (2014) Real time prediction and optimization of drilling performance based on a new mechanical specific energy model. Arab J Sci Eng 39:8221–8231CrossRefGoogle Scholar
  9. 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 mechanicsGoogle Scholar
  10. Denny M (2004) Stick-slip motion: an important example of self-excited oscillation. Eur J Phys 25:311–322MathSciNetCrossRefzbMATHGoogle Scholar
  11. Fera M, Macchiaroli R, Lannone R, Miranda S, Riemma S (2016) Economic evaluation model for the energy demand response. Energy 112:457–468CrossRefGoogle Scholar
  12. Ghasemloonia A, Rideout DG, Butt SD (2015) A review of drill string vibration modeling and suppression methods. J Petrol Sci Eng 131:134–150CrossRefGoogle Scholar
  13. Gulyaev VI, Khudolii SN, Glushakova V (2009) Self-excitation of deep-well drill string torsional vibrations. Strength Mater 41:613–622CrossRefGoogle Scholar
  14. Gulyaev VI, Lugovoi PZ, Glushakova OV, Glazunov SN (2016) Self-excitation of torsional vibrations of long drillstrings in a viscous fluid. Int Appl Mech 52:155–164MathSciNetCrossRefGoogle Scholar
  15. Gulyayev VI, Glushakova OV (2011) Large-scale and small-scale self-excited torsional vibrations of homogeneous and sectional drill strings. Interact Multiscale Mech 4:291–311CrossRefGoogle Scholar
  16. Intrachai K, Arkayamas P (2014) Optimization of drilling method and well design to drill deep well with limited equipment capacity. In: Proceedings of “IADC/SPE Asia Pacific Drilling Technology” conference, pp 1–11, ThailandGoogle Scholar
  17. Kapitaniak M, Hamaneh VV, Chávez JP, Nandakumar K, Wiercigroch M (2015) Unveiling complexity of drill-string vibrations: experiments and modeling. Int J Mech Sci 101–102:214–337Google Scholar
  18. Khulief YA, Al-Sulaiman FA, Bashmal S (2007) Vibration analysis of drill strings with self-excited stick-slip oscillations. J Sound Vib 299:540–558CrossRefGoogle Scholar
  19. Kovalyshen Y (2014) Understanding root cause of stick-slip vibrations in deep drilling with drag bits. Int J Nonlinear Mech 67:331–341CrossRefGoogle Scholar
  20. Kreuzer E, Steidl M (2012) Controlling torsional vibrations of drill strings via decomposition of traveling waves. Arch Appl Mech 82:515–531CrossRefzbMATHGoogle Scholar
  21. Ledgerwood LW, Jain JR, Hoffmann OJ, Spencer RW (2013) Downhole measurement and monitoring lead to an enhanced understanding of drilling vibrations and polycrystalline diamond compact bit damage. SPE Drill Complet 28:254–262CrossRefGoogle Scholar
  22. Liao CM, Balachandran B, Karkoub M, Abdel-Magid YL (2011) Drill string dynamics: reduced order models and experimental studies. J Vib Acoust 133:0410081CrossRefGoogle Scholar
  23. Mihajlović N, Van Veggel AA, 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 126:709–720CrossRefGoogle Scholar
  24. Navarro-López EM, Cortés D (2007) Avoiding harmful oscillations in a drill string through dynamical analysis. J Sound Vib 307:152–171CrossRefGoogle Scholar
  25. Navarro-López EM, Licéaga-Castro E (2009) Non-desired transitions and sliding mode control of a multi-DOF mechanical system with stick slip oscillations. Chaos Solitons Fractals 41:2035–2044CrossRefzbMATHGoogle Scholar
  26. Patil PA, Teodoriu C (2013) Model development of torsional drill string and investigating parametrically the stick slips influencing factors. ASME J Energy Resour Technol 135:0131031Google Scholar
  27. Rudat J, Dashevskiy D (2011) Development of an innovative model-based stick-slip control system. In: Proceedings of “SPE/IADC Drilling” conference and exhibition, pp 1–12. AmsterdamGoogle Scholar
  28. Saldivar B, Mondie S, Loiseau JJ, Rasvan V (2011) Stick-slip oscillations in oilwell drill strings: distributed parameter and neutral type retarded model approaches. In: Proceedings of “18th international federation of automatic control” World Congress, pp 284–289, Milano, ItalyGoogle Scholar
  29. Sampaio R, Piovan MT, Lozano GV (2007) Coupled axial/torsional vibrations of drill strings by means of non-linear model. Mech Res Commun 34:497–502CrossRefzbMATHGoogle Scholar
  30. 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 Technol 31:4589–4597CrossRefGoogle Scholar
  31. Tang L, Zhu X, Li J (2018) Effects of the synchronous variation of the static and the kinetic friction coefficients on stick-slip vibration of drillstring. Iranian J Sci Technol-T Mech Eng.  https://doi.org/10.1007/s40997-018-0156-y Google Scholar
  32. Tucker RW, Wang C (2003) Torsional vibration control and cosserat dynamics of a drill rig assembly. Meccanica 38:143–159CrossRefzbMATHGoogle Scholar
  33. Van de Vrande BL, Van Campen DH, De Kraker A (1999) An approximate analysis of dry-friction-induced stick-slip vibrations by a smoothing procedure. Nonlinear Dyn 19:157–169zbMATHGoogle Scholar
  34. Zamanian M, Khadem SE, Ghazavi MR (2007) Stick-slip oscillations of drag bits by considering damping of drilling mud and active damping system. J Petrol Sci Eng 59:289–299CrossRefGoogle Scholar

Copyright information

© Shiraz University 2019

Authors and Affiliations

  1. 1.School of Mechatronic EngineeringSouthwest Petroleum UniversityChengduChina
  2. 2.Key Laboratory of Fluid and Dynamic Machinery of the Ministry of EducationXihua UniversityChengduChina
  3. 3.State Key Laboratory of Oil and Gas Reservoir Geology and ExploitationSouthwest Petroleum UniversityChengduChina

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