Dynamic Analysis of a Horizontal Well Drillstring System
DOI:
https://doi.org/10.54691/emf6kx77Keywords:
Nonlinear Dynamics; Stick-slip; Bit-bounce; Cone Bit; Drillstring.Abstract
Purpose To address the issue that current dynamic models of drill strings typically simplify the mathematical modeling of the interaction between the drill bit and the rock, thus failing to accurately reflect the actual behavior of the drill bit, this study aims to investigate the dynamic behavior of the horizontal well drill string system equipped with a cone bit under different drilling parameters. Methods In this work, a dynamic mathematical model of the coupled nonlinear system of drillstring-cone bit-rock under the wellbore trajectory of a three-dimensional curved well is established. The drillstring is spatially discretized into multiple Euler–Bernoulli beam elements using the finite element method. The cone bit model is established, which fully accounts for state-dependent delay effects, and multiple cutters interactions. The interaction forces between the bit and the rock were introduced as boundary conditions for the drillstring model, while the displacement of the drillstring's terminal node is used as an input to the bit model, achieving a nonlinear coupling between the bit and the drillstring. The coupled nonlinear dynamic system is solved using the Newmark method combined with an improved Newton–Raphson iteration scheme. Results The numerical results indicate that increasing the rotational speed and the weight on bit (WOB) will intensify the vibration of the drill string, but it will improve the drilling efficiency. A higher rotational speed helps to suppress the sliding vibration of stuck pipe, while a larger WOB can effectively alleviate the axial stuck pipe sliding phenomenon. An increase in the local curvature of the wellbore trajectory will lead to an increase in the vibration intensity of the drill string at that location. An increase in the strength of the formation rock will cause an increase in the vibration intensity of the drill bit and a greater increase in the axial strength than the torsional strength. Conclusion These findings establish a solid theoretical foundation for controlling drillstring vibrations and offer guidance for optimizing drilling parameters and designing suitable bottom-hole assembly configurations.
Downloads
References
[1] Li, W., Huang, G., Jing, Y., Yu, F., & Ni, H. (2019). Modeling and mechanism analyzing of casing running with pick-up and release technique. Journal of Petroleum Science and Engineering, 172, 538-546. https://doi.org/10.1016/j.petrol.2018.09.099.
[2] Jianhong, F., Kexiong, S., Zhi, Z., Dezhi, Z., Fei, L., Xin, X., & Xin, Z. (2012). Stress analysis on drilling string vibration in gas drilling. Energy Procedia, 16, 1264-1268. https://doi.org/ 10.1016/ j.egypro. 2012. 01.202.
[3] Song, J., Liu, S., He, Y., Jiang, S., Zhou, S., & Zhu, H. (2024). The state-of-the-art review on the drill pipe vibration. Geoenergy Science and Engineering, 243, 213337. https://doi.org/ 10.1016/ j.geoen. 2024. 213337.
[4] Aarsnes, U. J. F., & Van De Wouw, N. (2018). Dynamics of a distributed drill string system: Characteristic parameters and stability maps. Journal of Sound and Vibration,417, 376-412. https://doi.org/10.1016/j.jsv.2017.12.002.
[5] Moharrami, M. J., de Arruda Martins, C., & Shiri, H. (2021). Nonlinear integrated dynamic analysis of drill strings under stick-slip vibration. Applied Ocean Research,108, 102521. https:// doi. org/ 10. 1016/ j.apor.2020.102521.
[6] Xie, D., Wu, Q., Xi, Y., & Huang, Z. (2023). Global modelling of nonlinear spatiotemporal dynamics of a drill‐string with multiple regenerative effects. Applied Mathematical Modelling,114, 114-132. https:// doi.org/10.1016/j.apm.2022.09.037.
[7] Han, C.J., Yan, T., Bi, X.L., et al., 2005. Analysis on drill string vibration of deep wells. Natural Gas Industry, 25 (9), 76–79.https://doi.org/10.3321/j.issn:1000-0976.2005.09.025.
[8] Li, Z., Zhang, C., & Song, G. (2017). Research advances and debates on tubular mechanics in oil and gas wells. Journal of petroleum science and engineering, 151, 194-212. https://doi.org/ 10. 1016/ j.petrol. 2016.10.025.
[9] Ren, F., Chen, S., & Yao, Z. (2013). Vibration response analysis of slender flexible revolving beam under axial load. China Mechanical Engineering, 24(24), 3392. https://doi.org/10. 3969/ j. issn. 1004-132X.2013.24.025.
[10] Meng, Q.H., Liu, Q.Y., 2011. Establishment of gas-solid coupled transverse vibration mathematical model of drilling string in gas drilling and its control. Mathematics in Practice and Theory 41 (13), 88–93. https://link.cnki.net/doi/CNKI:SUN:SSJS.0.2011-13-014.
[11] Fan, H.H., Yang, X., Wang, Y., et al., 2015. Analysis on lateral vibration features of production string in high pressure gas wells. China Petroleum Machinery 43 (3), 88–91+95. https://doi. org/10. 16082/ j. cnki.issn.1001-4578.2015.03.019.
[12] Gupta, S. K., & Wahi, P. (2016). Global axial–torsional dynamics during rotary drilling. Journal of Sound and Vibration, 375, 332-352. https://doi.org/10.1016/j.jsv.2016.04.021.
[13] Yigit AS, Christoforou AP. Stick-Slip and Bit-Bounce Interaction in Oil-Well Drillstrings[J]. Journal of Energy Resources Technology-transactions of The Asme, 2006, 128: 268-274. https://doi. org/ 10.1115/1.2358141.
[14] Wang, B., Wang, Z., & Ren, F. (2020). Dynamic Model and Quantitative Analysis of Stick‐Slip Vibration in Horizontal Well. Shock and Vibration, 2020(1), 8831111. https://doi.org/ 10.1155/ 2020/ 8831111.
[15] Cai, M., Mao, L., Xing, X., Zhang, H., & Li, J. (2022). Analysis on the nonlinear lateral vibration of drillstring in curved wells with beam finite element. Communications in Nonlinear Science and Numerical Simulation, 104, 106065. https://doi.org/10.1016/j.cnsns.2021.106065.
[16] Tobias, S. A. (1961). Machine tool vibration research. International Journal of Machine Tool Design and Research, 1(1-2), 1-14. https://doi.org/10.1016/0020-7357(61)90040-3.
[17] Liu, X., Vlajic, N., Long, X., Meng, G., & Balachandran, B. (2014). Coupled axial-torsional dynamics in rotary drilling with state-dependent delay: stability and control. Nonlinear Dynamics,78(3), 1891-1906. https://doi.org/10.1007/s11071-014-1567-y.
[18] Zhu, L., Jiang, Z., Shi, J., & Jin, C. (2015). An overview of turn-milling technology.The International Journal of Advanced Manufacturing Technology, 81(1), 493-505. https://doi.org/10.1007/s00170-015-7187-y.
[19] Caixu, Y. U. E., Haining, G. A. O., Xianli, L. I. U., Steven, Y. L., & Lihui, W. A. N. G. (2019). A review of chatter vibration research in milling. Chinese Journal of Aeronautics, 32(2), 215-242. https:// doi. org/ 10.1016/j.cja.2018.11.007.
[20] Detournay, E., & Defourny, P. (1992, January). A phenomenological model for the drilling action of drag bits. In International journal of rock mechanics and mining sciences & geomechanics abstracts(Vol. 29, No. 1, pp. 13-23). Pergamon. https://doi.org/10.1016/0148-9062(92)91041-3.
[21] Tian, K., & Detournay, E. (2021). Influence of PDC bit cutter layout on stick–slip vibrations of deep drilling systems. Journal of Petroleum Science and Engineering, 206, 109005. https://doi. org/ 10.1016/j.petrol.2021.109005.
[22] Rubey, W. W., & King Hubbert, M. (1959). Role of fluid pressure in mechanics of overthrust faulting: II. Overthrust belt in geosynclinal area of western Wyoming in light of fluid-pressure hypothesis. Geological Society of America Bulletin, 70(2), 167-206. https://doi.org/10.1130/0016-7606 (1959) 70 [167:ROFPIM]2.0.CO;2.
[23] Qinfeng, D. I., Mingming, Y. O. U., Tianxin, L. I., Xing, Z. H. O. U., Heyuan, Y. A. N. G., & Wenchang, W. A. N. G. (2024). Simulation and analysis of dynamic characteristics of drilling string in extra-deep wells. Petroleum Drilling Techniques, 52(2), 108-117. http://dx.doi.org/10.11911/syztjs.2024029.
[24] Zhao, D., Hovda, S., & Sangesland, S. (2016, June). The effect of stick slip vibration on the backward whirl of bottom hole assembly in drillstring. In International Conference on Offshore Mechanics and Arctic Engineering (Vol. 49996, p. V008T11A042). American Society of Mechanical Engineers. https://doi.org/10.1115/0MAE2016-54478.
[25] Xu, J., Huang, Y., & Qu, Z. (2020). An efficient and unconditionally stable numerical algorithm for nonlinear structural dynamics. International Journal for Numerical Methods in Engineering, 121 (20), 4614-4629. https://doi.org/10.1002/nme.6456.
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Scientific Journal of Technology
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
