The whirling vibrations of a rotating drillstring bottom-hole assembly subject to the moment of friction are analyzed qualitatively. A problem statement and solution are given. The self-excitation of vibrations is simulated. It is established that during the self-excitation of whirling vibrations, the axial line of the drill bit can slowly and rapidly move over intricately shaped nonsmooth conical surfaces
Similar content being viewed by others
References
E. I. Borshch, E. V. Vashchilina, and V. I. Gulyaev, “Helical traveling waves in elastic rods,” Mech. Solids, 44, No. 2, 288–293 (2009).
V. I. Gulyaev, E. V. Vashchilina, and E. I. Borshch, “Spiral waves in rotating twisted elastic pipes,” Int. Appl. Mech., 44, No. 3, 345–352 (2008).
V. I. Gulyaev, V. V. Gaidaichuk, and 2. V. Gorbunovich, “Advanced methods for theoretical modeling of mechanical states of drillstrings in vertical boreholes,” Naftova 3 Gazova Promysl., No. 4, 22–25 (2008).
V. I. Gulyaev, P. Z, Lugovoi, and E. N. Andrusenko, “Mechanical behavior of drillstrings in curved boreholes with local geometrical imperfections,” Int. Appl. Mech., 46, No. 12, 1410–1419 (2010).
G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers. Definitions, Theorems, and Formulas for Reference and Review, McGraw-Hill, New York (1974).
A. I. Lurie, Analytical Mechanics, Springer, Berlin–New York (2002).
H. Ziegler, Principles of Structural Stability, Blaisdel, Waltham (1968).
J. F. Brett, T. M. Warren, and S. M. Behr, “Bit whirl—A new theory of PDC bit failure,” SPE Drill. Eng., 5, December, 275–281 (1990).
A. P. Christoforou and A. S. Yigit, “Dynamic modelling of rotating drillstrings with borehole interactions,” J. Sound Vibr., 206, No. 2, 243–260 (1997).
V. I. Gulyayev, V. V. Gaidaichuk, I. L. Solovjov, and I. V. Gorbunovich, “The buckling of elongated rotating drill strings,” J. Petroleum Sci. Eng., 67, 140–148 (2009).
V. I. Gulyayev, S. N. Hudoly, and L. V. Glovach, “The computer simulation of drill column dragging in inclined bore-holes with geometrical imperfections,” Int. J. Solids Struct., 48, 110–118 (2011).
J. D. Jansen, “Whirl and chaotic motion of stabilized drill collars,” SPE Drill. Eng., 7, No. 2, 107–114 (1992).
V. J. Kim, N. W. James, and S. Rong-Juin, “Case studies of the bending vibration and whirling motion of drill collars,” SPE Drill. Eng., 5, December, 282–290 (1990).
R. I. Leine, D. H. Van Campen, and W. J. G. Keulties, “Stick–slip whirl interaction in drillstring dynamics,” J. Vibr. Acoust., 124, No. 4, 209–220 (2002).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Prikladnaya Mekhanika, Vol. 49, No. 3, pp. 114–124, May–June 2013.
Rights and permissions
About this article
Cite this article
Gulyaev, V.I., Lugovoi, P.Z. & Borshch, E.I. Self-excited vibrations of a drillstring bit. Int Appl Mech 49, 350–359 (2013). https://doi.org/10.1007/s10778-013-0573-y
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-013-0573-y