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径向井转向器滑道导入段阻力模型及其多项式解
王慧艺1,2,孙培先1,刘衍聪1
(1.中国石油大学机电工程学院,山东东营257061;2.上海应用技术学院机械系,上海200235)
摘要:
径向井滑道导人段是径向井转向器滑道的组成部分。当钻杆初始通过转向器时,导人段诱导钻杆发生弯曲。当 钻头离开导人段后,导入段与钻杆不再接触。导人段轨迹设计要求导人段对钻杆的阻力小,阻力波动小。通过分析钻 杆在导人段的受力,建立了钻杆导人段阻力与导人段轨迹之间的微分方程.采用多项式函数逼近该一阶非线性微分方 程真解的方法,研究了直线型、抛物型及三次多项式导人轨迹的粗力特性。研究结果表明,导入段轨迹设计应以抛物a 或三次型曲线为主;运用局部坐标法设计的三次型导人轨迹,可以达到实际操作对导人轨迹阻力波动的要求。
关键词:  径向井  滑道  建模  导人段  多项式函数
DOI:
分类号:
基金项目:中国石油天然气集团公司创新基金项目(03E7023)
Modeling and polynomial resolutions of resistance on introduction slide in whipstock of ultra-short radius radial system
WANG Hui-yi1,2,SUN Pei-xian1,LIU Yan-cong1
(1. College of Mechaniccd and Electronic Engineering in China University of Petroleum, Dongying 257061, Shandong Province t China ;2. School of Mechanical and Automation Engineering, Shanghai Iwititute of Technology, Shanghai 200235, China)
Abstract:
The introduction slide k part of the sMde in whipstock of ultra-short radius radial system (URRS). As drill pipe passes through the slide initially t the introduction elide leads the drill pipe to be bent. After the drill pipe pas&ing through the slide t they will not touch each other again. TTie locus design, of the introduction slide aims to decrease the drill pipe resistance to introduction slide, and to decrease the fluctuation of the resistatwe, A differential equation between resistance factor and ihe locus of introduction 6lide was built by analyzing loads on tin 11 pipe during being guided. Polynomial functions were used to ap~ proach the solution of the nonlinear differential equation, TT^e results show that parabolic or cubic curves shall be the main in the locus design of introduction glide based on the analysis of their resistance factors of linear, parabolic and cubic curves, and cubic curves with local coordinator system can fit the denrnnd of resistance fluctuation for field drilling.
Key words:  ultra-short radius radial system  slide  modeling  introduction slidej polynomial function
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