Some peculiarities of the drilling rigs elements movement

Abstract

This paper deals with investigatson of the process of drill bit whirling on the rough plane of the well bottom. Nonholonomic kinematic models of the mechanical interaction of contacting bodies with defects at the initial stage of system self-excitation are applied. On the basis of the results of experimental studies, it is believed that one of the main factors influencing on the whirlings vibrations is the geometry of the bit. The bit is considered to be an absolutely rigid ellipsoidal body, the well bottom surface is supposed to be a plane. The resulting oscillations are associated with spontaneous bending deformations of the drill string, which are accompanied by continuous contact of the bit and the rock. The equations of motion of the bit in the linear approximation are obtained. The analysis of the solution of the linearized equations is carried out, and the frequencies of the arising periodic motions are found. The forms of oscillations under different geometrical parameters of an ellipsoidal bit are analyzed. It is shown that the bit can rotate in backward direction, moving at angular velocities that exceed the angular frequency of the drill string. The research results can be used in the development of new types of drilling rigs.

Key words: deep drilling, ellipsoidal bits, nonholonomic dynamics, forward and backward whirling.

Pages of the article in the issue: 57 - 60

Language of the article: Ukrainian

References

BORISOV, A. V., MAMAJEV, I. S. & KILIN A.A. (2005) Izbrannyye zadachi negolonomnoy mekhaniki. Moskva-Izhevsk: Institut komp'yuternykh issledovaniy.

GULYAYEV, V. I., GLAZUNOV, S. N., GLUSHAKOVA, O. V. et al (2017) Modelirovaniye neshtatnykh situatsiy pri burenii glubokikh skvazhin. Kiev: Yuston publishing.

CHEN, S.L., BLACKWOOD, K. & LAMINE, E. (2002) Field investigation of the effects of stick-slip, lateral, and whirl vibrations on roller-cone bit performance. SPE: Drilling & Completion.

VASHCHILINA, O. V. (2017) Technical aspects of the problems of deep drilling. Visnyk Natsionalʹnoho transportnoho universytetu. Seriya: «Tekhnichni nauky» – № 1 (37), pp. 42 – 47.

GLAZUNOV, S. M., VASHCHILINA, O. V. & LEBEDYEVA, I. V. (2016) Frequency analysis of periodic regimes of drill bit rollings on uneven bottom of a deep bore-hole. Visnyk Kyyivsʹkoho natsionalʹnoho universytetu imeni Tarasa Shevchenka, Seriya: fizyko-matematychni nauky. №1, pp. 41 – 44.

VASHCHILINA, O. V. , LEBEDYEVA, I. V. & O. I Bilobrytska (2019) Modeling and numerical research of the self-excitation phenomenon of the drill bit whirlings vibrations. Visnyk Kyyivsʹkoho natsionalʹnoho universytetu imeni Tarasa Shevchenka, Seriya: fizyko-matematychni nauky. №1, pp. 28 – 33.

How to Cite
Vashchilina, O. V., & Lebedyeva, I. V. (1). Some peculiarities of the drilling rigs elements movement. Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics, (1-2), 57-60. https://doi.org/10.17721/1812-5409.2020/1-2.9
Section
Differential equations, mathematical physics and mechanics