Influence of Rheological Parameters of Drilling Fluid on the Coupling Vibration Suppression of Drillstring in Rotary Table Drilling

doi:10.3901/JME.2024.05.183

Abstract

Abstract: The drilling fluid shows strong non-Newtonian rheology due to mixing a large number of cuttings in annulus during drilling, which has great influences on the vibration behavior of the drill string. An axial-lateral-torsional coupling (ALTC) nonlinear dynamic model based on Hamilton's principle is established, taking into account the effect of drillstring structure damping, non-Newtonian rheological damping of drilling fluid, bit-rock interaction and drillstring-borehole contact. A Rayleigh damping matrix calculation method is proposed. The axial, lateral, torsional, axial-lateral, lateral-torsional and axial-torsional damping matrices are combined to obtain the ALTC damping matrix, which can be used to describe the influence of drilling fluid on ALTC vibration damping of drill string. The finite element method and Newmark-β method are used to realize the discretization and solution of the nonlinear vibration model of the system, and the effectiveness of the model is verified by the field measurement data. Based on these, the influence mechanism of rheological parameters of drilling fluid on ALTC vibration response of drill string is investigated. It is found that larger shear stress τ_Hy and consistency coefficient k and smaller power-law index n can better suppress the axial vibration of the drill string and reduce the risk of bit jumping, larger values of τ_Hy and k, n of around 0.8 can better suppress lateral vibration of the drill string and maintain hole diameter, larger values of k and n can better suppress the stick-slip vibration of drill string and improve the ROP. The results can provide theoretical support for optimizing drill string and drilling fluid parameters, reducing harmful vibration of drill string and improving drilling efficiency.

Key words: rotary drilling, drill string vibration, coupling vibration, drilling fluid rheology, stick-slip vibration

CLC Number:

TE921

CHEN Yili, LIU Jun, LIANG Shuang. Influence of Rheological Parameters of Drilling Fluid on the Coupling Vibration Suppression of Drillstring in Rotary Table Drilling[J]. Journal of Mechanical Engineering, 2024, 60(5): 183-195.

References

[1] SHEN Yuanyuan，ZHU Kuanliang，ZHOU Yan，et al. Study on dynamic vibration characteristics of drill string in extended reach well[J]. Springer Series in Geomechanics and Geoengineering，2021，1(1)： 329-339.
[2] KUDAIBERGENOV A，KHAJIYEVA L. Analysis of the stress-strain state of rotating drill strings with a drilling mud[J]. Mechanisms and Machine Science，2022，85：114-122.
[3] YANG Chunxu，WANG Ruihe，HAN Laiju，et al. Effect of annulus drilling fluid on lateral vibration of drillstring[J]. Journal of Vibroengineering，2020，22(1)：197-208.
[4] KAZEMI R，JAFRI A A，MAHYARI M F. The effect of drilling mud flow on the lateral and axial vibrations of drill string[C]// ASME 201010th Biennial Conference on Engineering Systems Design and Analysis，2010.
[5] JAFARI A A，KAZEMI R， MAHYARI M F. The effects of drilling mud and weight bit on stability and vibration of a drill string[J]. Journal of Vibration and Acoustics，2012，134(1)：011-014.
[6] TAHERAN F，MONFARED V，DANESHMAND S，et al. Nonlinear vibration analysis of directional drill string considering effect of drilling mud and weight on bit[J]. Journal of Vibroengineering，2016，18(2)：1280-1287.
[7] MA Tianshou，ZOU Jiayan，CHEN Ping，et al. Investigation on the influence coupling drilling fluid and formation boundary on acoustic wave propagation in drill string[J]. Geomechanics and Geophysics for Geo-Energy and Geo-Resources，2020，6(2)：1-14.
[8] MOHARRAMI M J，MARTINS C D A，SHIRI H，et al. Nonlinear integrated dynamic analysis of drill strings under stick-slip vibration[J]. Applied Ocean Research，2021，108(1)：102521.
[9] TANG Song，LIANG Zheng，ZHAO Guanghui. Stability of transverse vibration of drillstring conveying drilling fluid[J]. Journal of Theoretical and Applied Mechanics (Poland)，2020，58(4)：1061-1074.
[10] RASHIDI M，SEDAGHAT A，MISBAH B，et al. Introducing a rheology model for non-newtonian drilling fluids[J]. Geofluids，2021，2021：1-14.
[11] DUSHAISHI M F，NYGAARD R，STUTTS D S. Effect of drilling fluid hydraulics on drill stem vibrations[J]. Journal of Natural Gas Science and Engineering，2016，35(Part A)：1059-1069.
[12] GUZEK A，SHUFRIN I，PASTERNAK E，et al. Influence of drilling mud rheology on the reduction of vertical vibrations in deep rotary drilling[J]. Journal of Petroleum Science and Engineering，2016，135：375-383.
[13] LIU Jun，WANG Jianxun，GUO Xiaoqiang，et al. Investigation on axial-lateral-torsion nonlinear coupling vibration model and stick-slip characteristics of drilling string in ultra-HPHT curved wells[J]. Applied Mathematical Modelling，2022，107：182-206.
[14] KRAMA A，GHARIB M，REFAAT S S，et al. Hybrid fuzzy sliding mode for stick-slip suppression in drill string systems[J]. Journal of Mechanical Science and Technology，2022，36(2)：1089-1102.
[15] FAKHAR M，TASHAKORI S. Adaptive nonlinear control design for a rotary drilling system with stick-slip oscillations[C]//The 25th Annual International Conference on Mechanical Engineering ISME2017，2017.
[16] 林智斌，岳昌智，钱若军. 空间梁塑性分析的截面纵向变形模型研究[C]//第四届全国现代结构工程学术研讨会论文集，宁波，2004. LIN Zhibin，YUE Changzhi，QIAN Ruojun. Study on section longitudinal deformation model of space beam for plastic analysis[C]//Proceedings of the 4th National Symposium on Modern Structural Engineering，Ningbo，2004.
[17] LI Wei，HUANG Genlu，YU Fan，et al. Modeling and numerical study on drillstring lateral vibration for air drilling in highly-deviated wells[J]. Journal of Petroleum Science and Engineering，2020，195：107913.
[18] HU Chengbao，WANG Yungang，LING Daoshen. Influence of Rayleigh damping physical essence and parameters on dynamic response[J]. Journal of Zhejiang University，2017，51(7)：1284-1290.
[19] NANDAKUMAR K，WIERCIGROCH M. Stability analysis of a state dependent delayed，coupled two DOF model of drill-string vibration[J]. Journal of Sound & Vibration，2013，332(10)：2575-2592.
[20] MAHMOOD A，MOHAMMED A. The effect of high pressures and high temperatures on the properties of water based drilling fluids[J]. Energy Science and Technology，2012，4(1)：27-33.
[21] SEPEHRI N，SASSANI F，LAWRENCE P D，et al. Simulation and experimental studies of gear backlash and stick-slip friction in hydraulic excavator swing motion[J]. Journal of Dynamic Systems，Measurement and Control，1996，118(3)：463.
[22] LEINE R I，VAN CAMPEN D H，DE KRAKER A，et al. Stick-slip vibrations induced by alternate friction models[J]. Nonlinear Dynamics，1998，16(1)：41-54.
[23] 张光伟. 钻柱与井壁振动碰撞特性的有限元分析[J]. 西安石油学院学报，1996，11(6)：20-23. ZHANG Guangwei. Finite element analysis of vibration collision characteristics of drill stem with the sidewell[J]. Journal of Xi’an Petroleum Institute，1996，11(6)：20-23.
[24] 吴泽兵，黄海，郑维新. 基于机械系统动力学自动分析水平井钻柱-井壁接触仿真分析水平井钻柱-井壁接触仿真分析[J]. 科学技术与工程，2020，20(33)：13762-13768. WU Zebing，HUANG Hai，ZHENG Weixin，et al. Contact simulation analysis of horizontal well drillstring-wellbore based on automatic dynamic analysis of mechanical systems software[J]. Science Technology and Engineering，2020，20(33)：13762-13768.
[25] KYLLINHSTAD A，NESSJOEN P J. A new stick-slip prevention system[C]//the SPE/IADC Drilling Conference and Exhibition，Amsterdam，2009.