Table of Contents Author Guidelines Submit a Manuscript
Shock and Vibration
Volume 2016, Article ID 9168747, 7 pages
http://dx.doi.org/10.1155/2016/9168747
Research Article

Stick-Slip Analysis of a Drill String Subjected to Deterministic Excitation and Stochastic Excitation

Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St John’s, NL, Canada A1B 3X5

Received 13 January 2016; Accepted 27 April 2016

Academic Editor: Evgeny Petrov

Copyright © 2016 Hongyuan Qiu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. Zamanian, S. E. Khadem, and M. R. Ghazavi, “Stick-slip oscillations of drag bits by considering damping of drilling mud and active damping system,” Journal of Petroleum Science and Engineering, vol. 59, no. 3-4, pp. 289–299, 2007. View at Publisher · View at Google Scholar · View at Scopus
  2. E. M. Navarro-López and D. Cortés, “Avoiding harmful oscillations in a drillstring through dynamical analysis,” Journal of Sound and Vibration, vol. 307, no. 1-2, pp. 152–171, 2007. View at Publisher · View at Google Scholar · View at Scopus
  3. Y. A. Khulief, F. A. Al-Sulaiman, and S. Bashmal, “Vibration analysis of drillstrings with self-excited stick-slip oscillations,” Journal of Sound and Vibration, vol. 299, no. 3, pp. 540–558, 2007. View at Publisher · View at Google Scholar · View at Scopus
  4. A. S. Yigit and A. P. Christoforou, “Coupled axial and transverse vibrations of oilwell drillstrings,” Journal of Sound and Vibration, vol. 195, no. 4, pp. 617–627, 1996. View at Publisher · View at Google Scholar · View at Scopus
  5. H. Puebla and J. Alvarez-Ramirez, “Suppression of stick-slip in drillstrings: a control approach based on modeling error compensation,” Journal of Sound and Vibration, vol. 310, no. 4-5, pp. 881–901, 2008. View at Publisher · View at Google Scholar · View at Scopus
  6. T. Richard, C. Germay, and E. Detournay, “Self-excited stick-slip oscillations of drill bits,” Comptes Rendus—Mecanique, vol. 332, no. 8, pp. 619–626, 2004. View at Publisher · View at Google Scholar · View at Scopus
  7. C. Germay, N. Van de Wouw, H. Nijmeijer, and R. Sepulchre, “Nonlinear drillstring dynamics analysis,” SIAM Journal on Applied Dynamical Systems, vol. 8, no. 2, pp. 527–553, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  8. M. A. Trindade, C. Wolter, and R. Sampaio, “Karhunen-Loève decomposition of coupled axial/bending vibrations of beams subject to impacts,” Journal of Sound and Vibration, vol. 279, no. 3–5, pp. 1015–1036, 2005. View at Publisher · View at Google Scholar · View at Scopus
  9. Y. A. Khulief and H. Al-Naser, “Finite element dynamic analysis of drillstrings,” Finite Elements in Analysis and Design, vol. 41, no. 13, pp. 1270–1288, 2005. View at Publisher · View at Google Scholar · View at Scopus
  10. R. Sampaio, M. T. Piovan, and G. Venero Lozano, “Coupled axial/torsional vibrations of drill-strings by means of non-linear model,” Mechanics Research Communications, vol. 34, no. 5-6, pp. 497–502, 2007. View at Publisher · View at Google Scholar · View at Scopus
  11. A. S. Yigit and A. P. Christoforou, “Stick-slip and bit-bounce interaction in oil-well drillstrings,” Journal of Energy Resources Technology, vol. 128, no. 4, pp. 268–274, 2006. View at Publisher · View at Google Scholar · View at Scopus
  12. B. L. Van De Vrande, D. H. Van Campen, and A. De Kraker, “Approximate analysis of dry-friction-induced stick-slip vibrations by a smoothing procedure,” Nonlinear Dynamics, vol. 19, no. 2, pp. 159–171, 1999. View at Google Scholar · View at Scopus
  13. T. Richard, C. Germay, and E. Detournay, “A simplified model to explore the root cause of stick–slip vibrations in drilling systems with drag bits,” Journal of Sound and Vibration, vol. 305, no. 3, pp. 432–456, 2007. View at Publisher · View at Google Scholar · View at Scopus
  14. J. L. Bogdanoff and J. E. Goldberg, “A new analytical approach to drill pipe breakage II,” Journal of Engineering for Industry, vol. 83, no. 2, pp. 101–106, 1961. View at Publisher · View at Google Scholar
  15. A. Chevallier, Nonlinear stochastic drilling vibrations [Ph.D. thesis], Rice University, Department of Mechanical Engineering, Houston, Tex, USA, 2001.
  16. T. Ritto, C. Soize, R. Sampaio et al., “Drill-string with uncertainty in the bit-rock interaction,” in Proceedings of the 11th Pan-American Congress of Applied Mechanics (PACAM '10), January 2010.
  17. T. G. Ritto, C. Soize, and R. Sampaio, “Non-linear dynamics of a drill-string with uncertain model of the bit-rock interaction,” International Journal of Non-Linear Mechanics, vol. 44, no. 8, pp. 865–876, 2009. View at Publisher · View at Google Scholar · View at Scopus
  18. T. Ritto, C. Soize, and R. Sampaio, “Modeling uncertainties for local nonlinearities: application to the drill-string dynamics,” in Proceedings of the Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN '09), 2009.
  19. T. G. Ritto, C. Soize, and R. Sampaio, “Probabilistic model identification of the bit–rock interaction-model uncertainties in nonlinear dynamics of a drill-string,” Mechanics Research Communications, vol. 37, no. 6, pp. 584–589, 2010. View at Publisher · View at Google Scholar · View at Scopus
  20. T. Ritto, C. Soize, and R. Sampaio, “Stochastic drill-string dynamics-random weight-on-hook (woh),” in Proceedings of the 13th International Symposium on Dynamic Problems of Mechanics (DINAME '09), 2009.
  21. T. G. Ritto, C. Soize, and R. Sampaio, “Stochastic dynamics of a drill-string with uncertain weight-on-hook,” Journal of the Brazilian Society of Mechanical Sciences and Engineering, vol. 32, no. 3, pp. 250–258, 2010. View at Publisher · View at Google Scholar · View at Scopus
  22. H. Qiu, Dynamic analysis of a drill-string under deterministic and random excitations [M.S. thesis], Memorial University, Department of Mechanical Engineering, St. John's, Canada, 2014.
  23. R. F. Kilburn, “Friction viewed as a random process,” Journal of Lubrication Technology, vol. 96, no. 2, pp. 291–299, 1974. View at Publisher · View at Google Scholar · View at Scopus
  24. N. Challamel, H. Sellami, E. Chenevez, and L. Gossuin, “A stick/slip analysis based on rock/bit interaction,” Journal of Petroleum Technology, vol. 52, no. 12, pp. 30–31, 2000. View at Google Scholar
  25. C. W. S. To and M. L. Liu, “Large nonstationary random responses of shell structures with geometrical and material nonlinearities,” Finite Elements in Analysis and Design, vol. 35, no. 1, pp. 59–77, 2000. View at Publisher · View at Google Scholar · View at Scopus
  26. C. Bucher, Computational Analysis of Randomness in Structural Mechanics: Structures and Infrastructures Book Series, vol. 3, CRC Press, 2009.
  27. M.-P. Dufeyte and H. Henneuse, “Detection and monitoring of the slip-stick motion: field experiments,” in Proceedings of the SPE/IADC Drilling Conference, SPE-21945-MS, Society of Petroleum Engineers, Amsterdam, The Netherlands, March 1991. View at Publisher · View at Google Scholar