深水无隔水管钻柱的临界转速分析
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摘要
基于实际的工况考虑了钻柱壁厚、水深、张力、钻井液流速等因素对无隔水管钻柱的影响,根据达朗贝尔原理建立了无隔水管钻柱的涡动微分方程模型;在此模型上由分离变量法推导出了钻柱临界转速方程,并与Rayleigh梁-轴模型的临界转速方程进行对比并验证了本方程的正确性。分析结果表明:在不同阶数的情况下,随着水深或壁厚的增加,临界转速降低;随着张力的增加,临界转速提高;流速对临界转速无明显的影响。本文所得结论对于采用无隔水管钻井技术作业具有指导意义。
The drill string wall thickness, the effect of seawater depth, tension and drilling fluid velocity are considered on drill string without riser based on the actual working conditions in this paper. According to D'Alembert's principle, the model of vortex differential equation of drill string without riser is established. Based on this model, the critical speed of rotation equation of drill string is derived by the method of separation variables. It is compared with the critical rotation speed of Rayleigh beam-shaft model and the correctness of this equation is verified. The results show that the critical rotation speed decreases with the increase of seawater depth or wall thickness, and increases with the increase of tension. The conclusion obtained in this paper has guiding significance to drilling technology without riser.
The drill string wall thickness, the effect of seawater depth, tension and drilling fluid velocity are considered on drill string without riser based on the actual working conditions in this paper. According to D'Alembert's principle, the model of vortex differential equation of drill string without riser is established. Based on this model, the critical speed of rotation equation of drill string is derived by the method of separation variables. It is compared with the critical rotation speed of Rayleigh beam-shaft model and the correctness of this equation is verified. The results show that the critical rotation speed decreases with the increase of seawater depth or wall thickness, and increases with the increase of tension. The conclusion obtained in this paper has guiding significance to drilling technology without riser.
引文
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[17]袁惠群.转子动力学基础[M].北京:冶金工业出版社,2014.(YUAN Huiqun.Rotor dynamics foundation[M].Beijing:Metallurgical Industry Press,2014(in Chinese)).
[2]吴时国,袁圣强.世界深水油气勘探进展与我国南海深水油气前景[J].天然气地球科学,2005,16(6):693-699,714.(WU Shiguo,YUAN Shengqiang.Advance of exploration and petroleum geological features of deep-water hydrocarbon in the world[J].Natural gas geoscience,2005,16(6):693-699,714(in Chinese)).
[3]CHOE J,JUVKAM-WOLD H.Well control aspects of riserless drilling[R].New Orleans,Louisiana:Society of Petroleum Engineers,1998:355-366.
[4]CARTER G,BLAND B,PINCKARD M.Riserless drilling-applications of an innovative drilling method and tools[R].Houston,Texas:Offshore Technology Conference,2005:1-7.
[5]COHEN J H,KLEPPE J,GRONAS T,et al.Gulf of mexico’s first application of riserless mud recovery for top-hole drilling-a case study[R].Houston,Texas:Offshore Technology Conference,2010:1-13.
[6]高本金,陈国明,殷志明,等.深水无隔水管钻井液回收钻井技术[J].石油钻采工艺,2009,31(2):44-47.(GAO Benjin,CHENGuoming,YIN Zhiming,et al.Deep water non riser drilling fluid recovery drilling technology[J].Oil drilling&production technology,2009,31(2):44-47(in Chinese)).
[7]MENAND S,SELLAMI H,AKOWANOU J,et al.How drill string rotation affects critical buckling load?[R].Orlando,Florida:Society of Petroleum Engineers,2008:1-13.
[8]SIKAL A,BOULET J G,MENAND S,et al.Drillpipe stress and cumulative fatigue analysis in complex well drilling:new approach in fatigue optimization[R].Denver,Colorado:Society of Petroleum Engineers,2008:1-17.
[9]RAO J S.Transient forward and backward whirl of beam and solid rotors with stiffening and softening effects[J].Advances in vibration engineering,2011,12(1):911-920.
[10]MENG S,SONG S,CHE C,et al.Internal flow effect on the parametric instability of deepwater drilling risers[J].Ocean engineering,2018,149:305-312.
[11]ZHU X,LIU W.The effects of drill string impacts on wellbore stability[J].Journal of petroleum science&engineering,2013,109:217-229.
[12]李子丰,王长进,田伟超,等.钻柱力学三原理及定性模拟实验[J].石油学报,2017,38(2):227-233.(LI Zifeng,WANG Changjin,TIAN Weichao,et al.The three principles and qualitative simulation experiments of drill string mechanics[J].Acta petroleum sinica,2017,38(2):227-233(in Chinese)).
[13]王宴滨,高德利,房军.深水钻井隔水管在平台升沉运动下的参激振动响应分析[J].应用力学学报,2016,33(6):996-1001,1118.(WANG Yanbin,GAO Deli,FANG Jun.Deepwater drilling riser’response analysis under the movements of platform up or down[J].Chinese journal of applied mechanics,2016,33(6):996-1001,1118(in Chinese)).
[14]毛良杰,刘清友,周守为,等.剪切流作用下隔水管涡激振动响应机理[J].石油勘探与开发,2015,42(1):101-106.(MAO Liangjie,LIU Qingyou,ZHOU Shouwei,et al.The vortex induced vibration response mechanism of riser under shear flow[J].Petroleum exploration and development,2015,42(1):101-106(in Chinese)).
[15]王鹏.深水钻井隔水管系统动力响应及力学耦合行为[D].大庆:东北石油大学,2014.(WANG Peng.Dynamic response and mechanical coupling behavior of deepwater drilling riser system[D].Daqing:Northeast Petroleum University,2014(in Chinese)).
[16]向正新,钱利勤,夏成宇,等.深水钻井隔水管与井口耦合作用力学仿真分析[J].应用力学学报,2017,34(5):981-987,1020.(XIANG Zhengxin,QIAN Liqin,XIA Chengyu,et al.Analysis of deepwater drilling riser and wellhead coupling mechanics simulation[J].Chinese journal of applied mechanics,2017,34(5):981-987,1020(in Chinese)).
[17]袁惠群.转子动力学基础[M].北京:冶金工业出版社,2014.(YUAN Huiqun.Rotor dynamics foundation[M].Beijing:Metallurgical Industry Press,2014(in Chinese)).