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考虑在有摩擦力存在的情况下,应用Lubinski解导出了垂直井眼中管柱轴向力所满足的微分方程,积分得出了管柱轴向力的公式,并进一步得出了管柱在压缩力作用下缩短和因屈曲缩短的公式。根据不同的边界情况分析了这些公式,指出摩擦力对管柱的屈曲变形影响很大,尤其在高温油气生产时顶部或底部温度加载时,轴向力迅速增加,这是造成封隔器和井口破坏的原因之一。导出的公式简单易用,为试井工程设计提供了快速计算方法。
Considering that in the presence of friction, Lubinski can be used to solve the differential equation satisfied by the axial force of the vertical wellbore. The integral of the axial force of the vertical wellbore can be deduced. Furthermore, Force shortening and shortening due to buckling formula. These formulas are analyzed according to different boundary conditions. It is pointed out that the frictional force has a great influence on the buckling deformation of the pipe string. Especially when the temperature of the top or the bottom of the high temperature oil and gas production is loaded, the axial force rapidly increases, One of the reasons for the destruction. The derived formulas are easy to use and provide a quick method of calculation for well testing engineering.