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Effects of weight on bit on torsional stick-slip vibration of oilwell drill string

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The stick-slip phenomenon is a type of dysfunction detrimental to the drilling operation. Field application shows that stick-slip phenomenon is inclined to appear when using a large Weight on bit (WOB). In this paper, effects of the WOB on the stick-slip vibration are investigated. Based on a lumped torsional pendulum model of the drilling system, equation of motion of the drill bit is obtained. By using parameters commonly used in field applications, the bit dynamics are analyzed and the stick-slip vibrations are discussed. During the stick-slip motions, the negative damping effect occurs in the transition from the stick phase to the slip phase. With the increasing WOB, the bit behavior may change from the stable motion to the stick-slip vibration once the WOB reaches the critical value. In case of stick-slip vibration, the phase trajectory ultimately converges to a limit cycle which represents periodical bit motion. With increases in the WOB, the limit cycle enlarges. For cases without stick-slip vibrations, the drill bit vibrates damply and finally converges to a state of uniform motion. The results presented in this paper can be applied to interpret some of the field phenomena related to WOB.

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Correspondence to Xiaohua Zhu.

Additional information

Recommended by Associate Editor Eung-Soo Shin

Liping Tang received his B.S. degree in process equipment and control from the Southwest University of Science and Technology in 2008, and M.S. and Ph.D. degrees in mechanical design and theory from Southwest Petroleum University of China, in 2012 and 2015, respectively. His main research interests include design of downhole drilling tools, drill string dynamics, and engineering mechanics.

Xiaohua Zhu received his B.S., M.S., Ph.D. degrees in mechanical design and theory from Southwest Petroleum University of China, in 2000, 2002, and 2005, respectively. He is currently a Professor at the School of Mechatronic Engineering in the Southwest Petroleum University, as well as a member of the Chinese Mechanical Engineering Society. His main research interests include design downhole drilling tools, drill string dynamics analysis, new methods for improving drilling efficiency.

Xudong Qian received his B.S. and Ph.D. degrees in Civil Engineering from National University of Singapore, in 2000 and 2005, respectively. Dr. Qian completed his post-doctoral research from University of Illinois at Urbana Champaign in 2007. He is currently an Associate Professor at the Department of Civil and Environmental Engineering in National University of Singapore. His research interests include nonlinear analysis of steel offshore platforms, fatigue and fracture assessments for critical structural components.

Changshuai Shi received his B.S. degree in process equipment and control from the Southwest University of Science and Technology in 2008, and M.S. and Ph.D. degrees in mechanical design and theory from Southwest Petroleum University of China, in 2011 and 2014, respectively. His main research interests include design of downhole drilling tools, fatigue of rubber component, and optimization of process craft of screw pump.

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Tang, L., Zhu, X., Qian, X. et al. Effects of weight on bit on torsional stick-slip vibration of oilwell drill string. J Mech Sci Technol 31, 4589–4597 (2017).

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