石油学报 ›› 1996, Vol. 17 ›› Issue (3): 123-130.DOI: 10.7623/syxb199603019

• 石油工程 • 上一篇    下一篇

管柱在水平井眼中的屈曲分析

高国华, 李琪, 李淑芳   

  1. 西安石油学院
  • 收稿日期:1994-08-04 修回日期:1994-12-26 出版日期:1996-07-25 发布日期:2013-07-08
  • 作者简介:高国华,1986年毕业于石油大学(华东).现为西安石油学院研究生部,副主任、副教授.通讯处:陕西省西安市.邮政编码:710061

A BUCKLING ANALYSIS OF PIPE STRING IN HORIZONTAL BOREHOLES

Gao Guohua, Li Qi, Li Shufang   

  1. Xi'an Petroleum Institute
  • Received:1994-08-04 Revised:1994-12-26 Online:1996-07-25 Published:2013-07-08

摘要: 管柱在水平井眼中的屈曲方程是一个含有小参数的四阶非线性常微分方程.屈曲方程有两个临界点,一个对应于正弦屈曲,另一个对应于螺旋屈曲.本文利用线性化分析方法和小参数摄动分析方法,求得了两个相应的临界屈曲载荷.其结果与他人用能量法导出的结果和用实际数据拟合的结果非常吻合.本文还对管柱屈曲后与井壁之间的法向接触力、弯矩及应力等进行了分析.

关键词: 管柱, 水平井, 稳定性, 微分方程, 受力分析

Abstract: The buckling equation of pipe string in horizontal boreholes is a fourth non-linear ordinary differential equation with a small parameter.There are two critical points for the equation.One is related to sinusoidal buckling,another is to helical buckling.The two critical buckling loads are solved with linearization method and perturbation method in this paper,the results obtained by this paper well coincide with those given by others with energy method or experimental data.In this paper,the normal contact force between the borehole wall and buckled pipe string,bending moment and stress are analyzed as well.

Key words: pipe string, horizontal well, stability, differential equation, force analysis