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等曲率井眼中钴柱与井壁间接触力分析
闰相祯1,李茂生1,杨秀娟1,高德利2
(1.中国石油大学储运与建筑工程学院,山东东营257061;2.中国石油大学石油天然气工程学院,北京102249)
摘要:
建立了等曲率井眼中考虑轴向力和重力的钻柱平衡方程式,采用理论和非线性有限元的方法分析了等曲率井 眼牛钻柱与井壁之间的接触力。采用牛顿-拉普森方法对非线性有限元方程进行了迭代求解。要保证理论分析的 精度,同样需要考虑边界条件。计算结果表明,由于外力的作用,钻柱紧贴于井壁的一侧时,钻柱的刚度对钻柱与井 壁间的接触力无影响,此时,井眼曲率越大,钻柱与井壁之间的接触力越大。当外力不足以使钻柱紧贴于井壁的一 侧时,钻柱的刚度对钻柱与井壁之间的接触力有影响。与理论分析相比,非线性有限元方法应用范围更广,解的精 度更高。
关键词:  钻柱  井壁  接触力  理论分析非线性有限元  曲率
DOI:
分类号:
基金项目:国家白然科学基金项目(50234030)
Study of contact force between drill string and borehole wall in constant-curvature wellbores
YAN Xiang-zhen1,LI Mao-sheng1,YANG Xiu-juan1,GA0 De-li2
(1.College of Transport & Storage and Civil Engineering in China University of Petroleum,Dongying 257061, Shandong Province, China ;2. Faculty of Petroleum Engineering in China University of Petroleum, Beijing 102249,China)
Abstract:
The equilibrium equations of drill string considering weight and axial force in constant-curvature wellbore were derived. The contact force between drill string and borehole wall was analyzed using nonlinear finite element and theory analysis method. Nonlinear finite element equilibriums were solved by Newton-Raphson method. Boundary conditions were considered to make the result accuracy. The results show that the stiffness of drill string is irrelative with the contact force when the force can contact drill string with one side of the borehole wall, and the more curvature of hole, the more the contact force is. When the force can not contact drill string with one side of the borehole wall, the stiffness of drill string can influence the contact force. Compared with theory analysis, nonlinear finite element can be used widely, and the precision is higher.
Key words:  drill string  borehole wall  contact force  theory analysis  nonlinear finite element  curvature
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