直井抽油杆柱在屈曲位移激励下横向振动的仿真研究  

Simulation research of transverse vibration of sucker rod string under buckling deformation excitation in vertical wells

作　　者：孙秀荣 江少波 黄有泉[3] 姚洪田[3] 李淑芳 董世民[1] SUN Xiu-rong;JIANG Shao-bo;HUANG You-quan;YAO Hong-tian;LI Shu-fang;DONG Shi-min(School of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,China;Linpan Oil Production Plant,Shengli Oilfield Company,SINOPEC,Dongying 257000,China;Daqing Oilfield Limited Corporation,PetroChina,Daqing 163000,China)

机构地区：[1]燕山大学机械工程学院,河北秦皇岛066004 [2]中国石油化工股份有限公司胜利油田分公司临盘采油厂,山东东营257000 [3]中国石油大庆油田有限责任公司,黑龙江大庆163000

出　　处：《振动工程学报》2018年第5期854-861,共8页Journal of Vibration Engineering

基　　金：河北省自然科学基金资助项目(E201703101);国家自然科学基金资助项目(51174175)

摘　　要：鉴于目前直井杆管偏磨分析仅停留于抽油杆柱在油管内的静力屈曲理论,提出了一种基于抽油杆柱屈曲位移激励的抽油杆柱在油管内横向振动与杆管偏磨的动力学分析方法。考虑轴向分布载荷和泵端动载荷的作用,以下冲程某时刻抽油杆柱在油管内的屈曲构型作为抽油杆柱横向振动的位移激励,建立了直井抽油杆柱在油管内横向振动的仿真模型。采用有限差分法对井深进行离散,Newmark法对时间进行离散,以恢复系数法建立了杆管碰撞条件,碰撞冲量作为碰撞效果的度量,对抽油杆柱在油管内横向振动数学模型进行了数值仿真。仿真结果表明:杆管碰撞现象主要发生在下冲程杆柱发生屈曲后,且几乎沿全井都有发生,从井口至泵端附近的碰撞力峰值逐渐增大;中位点以下碰撞最强烈,碰撞力最大,且呈现高频次碰撞;中位点以上至井口附近,碰撞频次和碰撞力依次减弱;而上冲程碰撞现象很少,碰撞力也较小。所建立的抽油杆柱屈曲位移激励下的横向振动仿真模型适用于杆管偏磨分析,同时为扶正器的优化配置提供新的理论基础。Considering the limitations of the static buckling theory on the eccentric wear between the sucker rod and the tube,a dynamic analysis method for the study of the transverse vibration of the sucker rod in the tube is proposed.Taking the axial distributed load and the dynamic load at the pump head,the dynamic model of the transverse vibration is established based on the buckling configuration of the rod string which is regarded as the deformation excitation during the down stroke.To solve the equation,the finite difference method is used to discretize the well depth and the Newmark method is used to discretize the time.Meanwhile,a restitution coefficient is introduced to build the collision condition,and the impact momentum is measured and taken as the collision strength.The result shows that the phenomenon of rod-tubing collision occurs mainly in the down stroke after the post buckling of the rod string,and the collision force,which distributed almost along the entire well depth,will increase gradually from the wellhead to the bottom.It also shows that the high frequency collision occurs below the neutral point where the collision force takes the largest value.Furthermore,the collision frequency and the collision force decrease successively along the direction from the neutral point to the wellhead.On the other hand during the up stroke,few collisions occur and the collision force is also very small.The simulation model is suitable for the eccentric wear analysis of rod-tubing and provides a new theoretical basis for the optimal allocation of the centralizer.

关 键 词：横向振动 抽油杆柱 屈曲位移激励 碰撞 仿真模型 

分 类 号：O327[理学—一般力学与力学基础] TE933.2[理学—力学]