DOI QR코드

DOI QR Code

Sensitivity of resistance forces to localized geometrical imperfections in movement of drill strings in inclined bore-holes

  • Gulyayev, V.I. (Department of Mathematics, National Transport University) ;
  • Khudoliy, S.N. (Department of Mathematics, National Transport University) ;
  • Andrusenko, E.N. (Department of Mathematics, National Transport University)
  • 투고 : 2010.10.17
  • 심사 : 2010.11.02
  • 발행 : 2011.03.25

초록

The inverse problem about the theoretical analysis of a drill string bending in a channel of an inclined bore-hole with localized geometrical imperfections is studied. The system of ordinary differential equations is first derived based on the theory of curvilinear flexible elastic rods. One can then use these equations to investigate the quasi-static effects of the drill string bending that may occur in the process of raising, lowering and rotation of the string inside the bore-hole. The method for numerical solution of the constructed equations is described. With the proposed method, the phenomenon of the drill column movement, its contact interaction with the bore-hole surface, and the frictional seizure can be simulated for different combinations of velocities, directions of rotation and axial motion of the string. Geometrical imperfections in the shape of localized smoothed breaks of the bore-hole axis line are considered. Some numerical examples are presented to illustrate the applicability of the method proposed.

키워드

참고문헌

  1. Aadnoy, B.S., Larsen, K. and Berg, P.C. (2003), "Analysis of stuck pipe in deviated boreholes", J. Petrol. Sci. Eng., 37, 195-212. https://doi.org/10.1016/S0920-4105(02)00353-4
  2. Aadnoy, B.S. and Andersen, K. (2001), "Design of oil wells using analytical friction models", J. Petrol. Sci. Eng., 32, 53-71. https://doi.org/10.1016/S0920-4105(01)00147-4
  3. Brett, J.F., Beckett, A.D., Holt, C.A. and Smith, D.L. (1989), "Uses and limitations of drillsting tension and torgue models for monitoring hole conditions", SPE Drill. Eng., 4, 223-229. https://doi.org/10.2118/16664-PA
  4. Choe, J., Schubert, J.J. and Juvkam-Wold, H.C. (2005), "Well-control analyses on extended-reach and multilateral trajectories", SPE Drill. Completion, June, 101-108.
  5. Chow, J, Kopp, R.J. and Portney, P.R. (2003), "Energy resources and global development", Science, 302, 1528-1531. https://doi.org/10.1126/science.1091939
  6. Gulyayev, V.I., Gaidaichuk, V.V. and Koshkin, V.L. (1992), Elastic deforming, stability and vibrations of flexible curvilinear rods, Naukova Dumka, Kiev. (in Russian)
  7. Gulyaev, V.I., Gaidaichuk, V.V., Solov'ev, I.L. and Glovach, L.V. (2007a), "Numerical simulation of the resistance forces acting on the curvilinear drill strings", Probl., Strength, 5(389), 55-67.
  8. Gulyaev, V.I., Lugovoi, P.Z., Khudoliy, S.N. and Glovach, L.V. (2007b), "Theoretical identification of resistance forces to the longitudinal displacement of the drill columns in curvilinear wells", Int. Appl. Mech., 43(11), 80-89.
  9. Iyoho, A.W., Meize, R.A., Millheim, K.K. and Grumrine, M.J. (2005), "Lessons from integrated analysis of GOM drilling performance", SPE Drill. Completion, March, 6-16.
  10. Kerr, R.A. (2005), "Bumpy road ahead for world's oil", Science, 310, 1106-1108. https://doi.org/10.1126/science.310.5751.1106
  11. Mohiuddin, M.A., Khan, K., Abdulraheem, A., Al-Majed, A. and Awall, M.R. (2006), "Analysis of wellbore instability in vertical, directional and horizontal wells using field data", J. Petrol. Sci. Eng., 55, 83-92.
  12. Pourcian, R.D., Fisk, J.H., Descant, F.J. and Waltman, R.B. (2005), "Completion and well-performance results, genesis field, deepwater Gulf of Mexico", SPE Drill. Completion, June, 147-155.
  13. Sawaryn, S.J. and Thorogood, J.L. (2005), "A compendium of directional calculations based on the minimum curvature method", SPE Drill. Completion, March, 24-36.
  14. Sawaryn, S.J., Sanstrom, B. and McColpin, G. (2006), "The management of drilling-engineering and wellservices software as safety-critical systems", SPE Drill. Completion, June, 141-147.
  15. Sheppard, M.C. (1987), "Designing well paths to reduce drag and torque", SPE Drill. Eng., December, 344- 350.
  16. Stuart, D., Hamer, C.D., Henderson, C., Gaynor, T. and Chen, D. C-K (2003), "New drilling technology reduces torque and drag by drilling a smooth and wellbore", SPE IADC Drilling Conference, Amsterdam, Netherlands, 83-88.

피인용 문헌

  1. Numerical Modeling of the Elastic Bending of a Drillstring in a Curved Superdeep Borehole vol.50, pp.4, 2014, https://doi.org/10.1007/s10778-014-0645-7
  2. Self-Excitation of Torsional Vibrations of Long Drillstrings in a Viscous Fluid vol.52, pp.2, 2016, https://doi.org/10.1007/s10778-016-0743-9
  3. Nonholonomic dynamics of drill string bit whirling in a deep bore-hole vol.227, pp.3, 2013, https://doi.org/10.1177/1464419313482658
  4. Nonlinear bending of drill strings in vertical boreholes vol.45, pp.3, 2013, https://doi.org/10.1007/s11223-013-9464-z
  5. Computer simulation of resistance force mitigation through curvature bridging in extended bore-holes vol.156, 2017, https://doi.org/10.1016/j.petrol.2017.06.036
  6. Theoretical simulation of geometrical imperfections influence on drilling operations at drivage of curvilinear bore-holes vol.112, 2013, https://doi.org/10.1016/j.petrol.2013.11.001
  7. Modeling the Energy-Saving Regimes of Curvilinear Bore-Hole Drivage vol.137, pp.1, 2015, https://doi.org/10.1115/1.4028656
  8. Buckling of rotating rods under the action of axial compressive forces taking into account their own weight vol.8, pp.3, 2011, https://doi.org/10.29039/2308-0191-2020-8-3-12-22