Abstract: Considering contact friction and curvature effect,the contact nonlinear problem of fracturing string is solved by the space beam element method and the multidirestional contact gapelement method (or agp element method).The contact state,contact reaction force and corresponding frictional resistance between the fracturing string and the bore hole wall or the in-side casing wall can be accurately described by the gap element,which allows less simplification in the mechanical model and more precise calculation of force and deformation. The calculations of field examples hane shown that the calculated hole top loads basicaily agree withfield measurement with a relative error of less than 10%.

摘要： 考虑压裂管柱的接触摩擦和弯曲效应,用多向接触间隙元(简称间隙元)和空间梁单元对压裂管柱的接触非线性问题进行了求解。该间隙元能正确方便地描述出压裂管柱与井壁(套管内壁)的接触状态、接触反力及相应的摩擦阻力,使压裂管柱计算力学模型简化少、受力变形分析值更准确。算例表明:用于压裂管柱井口负荷计算的结果与实验测试值符合很好,误差均小于10%;为水平井压裂管柱的受力变形分析提供了一种实用方法。

关键词: 水平井, 压裂管汇, 有限元法, 管子变形