Stability of transverse vibration of drillstring conveying drilling fluid
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School of Mechanical Engineering, Southwest Petroleum University, Chengdu, China
Submission date: 2020-03-13
Final revision date: 2020-06-18
Acceptance date: 2020-06-30
Online publication date: 2020-10-15
Publication date: 2020-10-15
Corresponding author
Song Tang   

School of Mechanical Engineering, Southwest Petroleum University, chengdu, China
Journal of Theoretical and Applied Mechanics 2020;58(4):1061-1074
In this paper, an analytical model is proposed to predict lateral vibration of a drillstring in a vertical well. The effect of parameters, such as stiffness of spring, average weight on bit (WOB), amplitude of fluctuating WOB and so on, on the dynamic stability of the drillstring is discussed. It is found that the interaction between the drillstring and drilling mud has a great influence on drillstring buckling and dynamics. For constant drilling pressure, the mud flow rate stabilizes the drillstring under certain conditions, but the fluctuating WOB drives the drillstring parametric resonance.
Abdelbaki A.R., Païdoussis M.P., Misra A.K., 2019, A nonlinear model for a hanging tubular cantilever simultaneously subjected to internal and confined external axial flows, Journal of Sound and Vibration, 449, 349-367.
Abdelbaki A.R., Païdoussis M.P., Misra A.K., 2020, A nonlinear model for a hanging cantilevered pipe discharging fluid with a partially-confined external flow, International Journal of Non-Linear Mechanics, 118, 103290.
Asghar Jafari A., Kazemi R., Faraji Mahyari M. , 2012, The effects of drilling mud and weight bit on stability and vibration of a drillstring, Journal of Vibration and Acoustics-Transactions of the Asme, 134, 1, 1-9.
Dunayevsky V.A., Fereldoun A., Arnis J., 1993, Dynamic stability of drillstrings under fluctuating weight on bit, SPE Drilling and Completion, 8, 2, 84-92.
Ghasemloonia A., Rideout D.G., Butt S.D., 2013, Coupled transverse vibration modeling of drillstrings subjected to torque and spatially varying axial load, Proceedings of the Institution of Mechanical Engineers. Part C: Journal of Mechanical Engineering, 227, C5, 946-960.
Ghasemloonia A., Rideout D.G., Butt S.D., 2014, Analysis of multi-mode nonlinear coupled axial-transverse drillstring vibration in vibration assisted rotary drilling, Journal of Petroleum Science and Engineering, 116, 36-69.
Hannoyer M.J., Païdoussis M.P., 1978, Instabilities of tubular beams simultaneously subjected to internal and external axial flows, ASME Journal of Mechanical Design, 100, 328-338.
Łuczko J., Czerwiński A., 2015, Parametric vibrations of flexible hoses excited by a pulsating fluid flow, Part I: Modelling, solution method and simulation, Journal of Fluids and Structures, 55, 155-173.
Mohammadzadeh M., Shahgholi M., Arbabtafti M., Yang J.M., 2020, Vibration analysis of the fully coupled nonlinear finite element model of composite drill strings, Archive of Applied Mechanics, 90, 6, 1373-1398.
Ni Q., Wang Y., Tang M., Luo Y., Yan H., Wang L., 2015, Nonlinear impacting oscillations of a fluid-conveying pipe subjected to distributed motion constraints, Nonlinear Dynamics, 81, 893-906.
Païdoussis M.P., Issid N.T., 1974, Dynamic stability of pipes conveying fluid, Journal of Sound and Vibration, 33, 267-294.
Païdoussis M.P., Luu T.P., Prabhakar S., 2008, Dynamics of a long tubular cantilever conveying fluid downwards, which then flows upwards around the cantilever as a confined annular flow, Journal of Fluids and Structures, 24, 111-128.
Panda L.N., Kar R.C., 2008, Nonlinear dynamics of a pipe conveying pulsating fluid with combination, principal parametric and internal resonances, Journal of Sound and Vibration, 309, 375-406.
Pei Y.C., Sun Y.H., Wang J.X., 2013, Dynamics of rotating conveying mud drillstring subjected to torque and longitudinal thrust, Meccanica, 48, 2189-2201.
Qi H.H., Xu J., 2011, Effect of Galerkin modal truncation on natural frequency analysis of a cantilevered pipe conveying fluid, Journal of Vibration and Shock, 30, 148-151.
Qian Q., Wang L., Ni Q., 2008, Vibration and stability of vertical upward-fluid-conveying pipe immersed in rigid cylindrical channel, Acta Mechanica Solida Sinica, 21, 431-440.
Ren F.S., Yao Z.G., 2013, Study on nonlinear dynamics and bifurcations in rotating compressivedrillstring, Engineering Mechanics, 30, 1, 251-256.
Tang S., Liang Z., Zhao G.H., 2018, Dynamic stability of lateral vibration of a tubing string in flowing production, Journal of Vibroengineering, 20, 7, 2540-2549.
Umbetkulova A., Khajiyeva L., 2017, Analysis of drill string nonlinear vibrations with its own weight, News of the National Academy of Sciences of the Republic of Kazakhstan, Series of Geology and Technical Sciences, 42, 1, 217-225.
Wang L., 2009, A further study on the nonlinear dynamics of simply supported pipes conveying pulsating fluid, International Journal of Non-Linear Mechanics, 44, 115-121.
Wang L., 2012, Flutter instability of supported pipes conveying fluid subjected to distributed follower forces, Acta Mechanica Solida Sinica, 25, 1, 46-52.
Wang L., Kuang Y., Huang Y., Ni Q., 2010, Recent development on vibration and stability of pipes conveying fluid from macro-scale to nano-scales, Acta Mechanica Solida Sinica, 31, 5, 481-495.
Wen X., Guan Z.C., Liang D.Y., Zhou Y.C., 2019, Proportion tests for transverse vibration laws of rotary drill string in a highly deviated well, Journal of Vibration and Shock, 38, 9, 216-222.
Xu J., Wang L., 2015, Dynamics and Control of Fluid-Conveying Pipe Systems, Science Press, Beijing.
Zhang Q., Miska S., 2005, Effects of flow-pipe interaction on drill pipe buckling and dynamics, Journal of Pressure Vessel Technology, 127, 129-136.
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