Research on Stick-slip Vibration Characteristics of Drill String with Longitudinal-torsion Coupling
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摘要: 石油钻井作业中通常伴随着剧烈的钻柱振动，导致钻井作业变得困难而低效。粘滑振动被认为是引发钻柱失效，引起钻井效率低下的主要原因之一。通过建立钻柱纵-扭耦合振动数学模型，推导相关动力学方程，分析岩石与钻头相互作用的4种形式，基于龙格库塔法以及自适应步长法对所建立的模型进行求解，结合算例分析，得到不同参数下钻头角速度和相对角位移变化。结果表明：高转速、低钻压的钻井条件下，纵-扭耦合作用的钻柱系统粘滑振动现象减弱。Abstract: Petroleum drilling operations are usually accompanied by severe drill string vibration, which makes drilling operations difficult and inefficient. Stick-slip vibration is considered to be one of the main causes of drill string failure and low drilling efficiency. This paper establishes a mathematical model of drill string longitudinal-torsional coupled vibration, derives related dynamic equations and analyzes four forms of rock-bit interaction. The established dynamic equation is solved using Runge-Kutta method with adaptive step size. Combined with the analysis of the calculation examples, the angular velocity and relative angular displacement changes of the drill bit under different parameters are obtained. The results show that the stick-slip vibration of the drill string system due to the coupling of longitudinal and torsion is weakened under the conditions of high speed and low weight-on-bit drilling.
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Key words:
- drilling /
- coupled vibration /
- sticky /
- dynamics
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表 1 算例基本参数
参数名称 数值 参数名称 数值 钻柱长度l/m 3000 钻头半径R/m 0.2 钻井液密度ρfl /（kg·m−3） 1500 钻铤内径Ri/m 0.0762 控制扭矩T0 /（Nm） 10000 钻铤外径Ro/m 0.2286 钢密度ρ/（kg·m−3） 7850 摩擦因数μ 0.4 杨氏模量E/GPa 210 钻井液摩擦因数μfl 0.2 剪切模量G/GPa 78 附加质量因数Cam 1.7 钻柱内径ri/m 0.095 地层刚度kc/（Nm·rad−1） 225 钻柱外径ro/m 0.127 
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