应力函数法计算蠕变地层套管的载荷

摘要

The distributions of casing load with uniform and non-uniform in-situ stresses in creep formations are studied by stress analytical methods.Taking the casing as the elastic foundation and Btratum as infinite viscoelastic foundation, stress analytical methods is employed to analyze the casing loads with unifom in-situ stresses in the creep formations.All results must be accord with physical equations of Kelvin Model,Geometry equations and transformative harmonious equation.These new conclusions are very important for study of the distributions of casing load with non-uniform in-situ stresses in creep formations.%本文采用应力函数法研究蠕变地层中套管载荷的分布规律.将套管看成弹性体,把地层看成无穷大的粘弹性体,根据开尔文模型平面应变的本构方程,极坐标形式的平衡方程、变形协调方程及几何方程,采用应力函数法,解出了均匀地应力条件下蠕变地层套管载荷的解析解.为寻求非均匀地应力条件下蠕变地层套管载荷的解析解提供了理论参考.