引用本文: 岳欠杯, 刘巨保, 付茂青. 井筒内受压杆管后屈曲能量法分析与实验研究[J]. 力学与实践, 2015, 37(6): 713-718,730.
YUE Qianbei, LIU Jubao, FU Maoqing. THE ENERGY METHOD AND EXPERIMENTAL STUDY OF POST-BUCKLING OF THE PRESSURIZED ROD STRING IN WELLBORE[J]. MECHANICS IN ENGINEERING, 2015, 37(6): 713-718,730.
 Citation: YUE Qianbei, LIU Jubao, FU Maoqing. THE ENERGY METHOD AND EXPERIMENTAL STUDY OF POST-BUCKLING OF THE PRESSURIZED ROD STRING IN WELLBORE[J]. MECHANICS IN ENGINEERING, 2015, 37(6): 713-718,730.

## THE ENERGY METHOD AND EXPERIMENTAL STUDY OF POST-BUCKLING OF THE PRESSURIZED ROD STRING IN WELLBORE

• 摘要: 井筒内杆管柱的屈曲行为是油气井工程中的关键问题之一.选取井筒内细长杆管柱为研究对象,根据受压管柱发生正弦或螺旋屈曲的几何形状,综合考虑屈曲后与井筒的接触摩擦状态,采用拉格朗日乘数法描述井筒的滑动位移边界,在能量法中引入重力势能及摩阻力耗散能,推导了受压杆管柱与井筒的接触力、摩阻力计算公式.并研制了专用管柱后屈曲实验装置,得出管柱发生正弦、螺旋屈曲失稳临界载荷及摩阻力变化规律,实验与理论结果吻合较好,为钻柱、连续油管等钻修作业中管柱的屈曲问题提供了一种行之有效的计算方法.

Abstract: The buckling behavior of the rod string in a wellbore is one of the key issues in petroleum engineering. The slender rod string in a wellbore is studied in this paper. According to the sinusoidal and helical buckling geometries of the pressurized column, the post-buckling contact friction state between the rod string and the wellbore is considered. The Lagrange multiplier method is used to describe the sliding displacement boundary conditions for the wellbore and the gravitational potential energy and the friction dissipated energy are used in the energy method. The contact force and the friction resistance between the rod string and the wellbore are derived for vertical wells. The post buckling experimental apparatus is developed in this paper. The sinusoidal and helical buckling critical loads and the friction resistances are derived under different loads. The experimental results agree with the theoretical results. This paper provides an effective method for buckling columns, such as drilling, coiled tubing.

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