We address a problem of self-excitation of elastic torsional vibrations of a rotating drill string due to frictional interaction between the drill bit and rock at the deep well bottom. Using the d’Alembert solution to a wave equation, a mathematical model is constructed for a wave torsional pendulum in the form of a nonlinear ordinary differential equation with delayed argument. Special features of generation of self-excited vibrations of drill strings have been determined through computer simulation.
This is a preview of subscription content, log in via an institution to check access.
References
A. W. Iyoho, R. A. Meize, K. K. Millheim, and M. J. Crumrine, “Lessons from integrated analysis of GOM drilling performance,” SPE Drilling & Completion, March, 6–16 (2005).
B. Foster, “‘Network diagrams’ improving drilling performance for wells with horizontal wellbore displacement,” Neftegaz. Tekhnol., No. 3, 19–24 (2005).
V. I. Gulyaev, V. V. Gaidaichuk, I. L. Solov’ev, and I. V.Gorbunovich, “Quasistatic critical states of strings for deep drilling,” Strength Mater., 38, No. 5, 527–534 (2006).
V. I. Gulyaev, V. I. Gaidaichuk, I. L. Solov’ev, and L.V.Glovach, “Computer simulation of resistance forces acting upon curvilinear drill strings,” Strength Mater., 39, No. 5, 492–501 (2007).
V. I. Gulyaev and I. V.Gorbunovich, “Stability of drill strings in controlled directional wells,” Strength Mater., 40, No. 6, 648–655 (2008).
P. S. Landa, Self-Oscillations in Systems with Finite Number of Degrees of Freedom [in Russian], Nauka, Moscow (1980).
M. K. Rabinovich and D. I. Trubetskov, Introduction to the Theory of Oscillations and Waves [in Russian], Nauka, Moscow (1984).
B. Hassard, N. Kazarinov, and N. Wan, Theory and Applications of Bifurcation of Cycle Generation [Russian translation], Mir, Moscow (1985).
N. Challamel, “Rock destruction effect on the stability of a drilling structure,” J. Sound Vibration, 233, No. 2, 235–254 (2000).
B. J. Ford, “The genesis of torsional drillstring vibrations,” SPE Drilling Eng., 7, 168–174 (1992).
J. D. Jansen and L. Van den Steen, “Active damping of self-excited torsional vibrations in oil well drillstrings,” J. Sound Vibration, 179, No. 4, 647–668 (1995).
R. W. Tucker and C. Wang, “On the effective control of torsional vibrations in drilling systems,” J. Sound Vibration, 224, No. 1, 101–122 (1999).
R. W. Tucker and C. Wang, “An integrated model for drill-string dynamics,” J. Sound Vibration, 224, No. 1, 123–165 (1999).
Author information
Authors and Affiliations
Additional information
Translated from Problemy Prochnosti, No. 6, pp. 31–43, November–December, 2009.
Rights and permissions
About this article
Cite this article
Gulyaev, V.I., Khudolii, S.N. & Glushakova, O.V. Self-excitation of deep-well drill string torsional vibrations. Strength Mater 41, 613–622 (2009). https://doi.org/10.1007/s11223-009-9174-8
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11223-009-9174-8