水平井套管挠曲变形的级数方程及计算方法

Series equation and it's solution for flexural deformation of casing in horizontal holes

水平井套管柱的挠曲变形,不仅受自重引起的横向均布载荷的影响,而且还受轴向力的影响,同时还可能有初弯曲。为此应用三角级数方程和变形能原理,导出了水平井套管柱的挠曲变形方程及最大挠度计算公式。这种方法具有运算精度高、使用简捷的优点。

The flexual deformation of casing in a horizontal hole is caused not only by the uniform transverse load from dead weight, but also by the axial load, and the existence of initial bent if any. To calculat the flexibility of the casing string in a horizontal well, the authors work out the flexural deformation equations from the triangle series equation and deformation energy principle. This method has the advantages of high exactness and ease to use.