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本文针对我国许多油田在开发过程中经常出现流变性地层产生蠕变流动而挤坏大量套管的实际情况，利用弹性力学的复变函数法，推导出了套管、水泥环组合体在各类非均匀围岩＊变载荷作用下套管内部的应力状态的计算公式。用所推导的公式分析计算了组合体承受各类非均匀围岩蠕变外载的能力，研究了套管、水泥环的弹性参数和几何参数对组合体承载能力的影响，得到许多规律性的认识所得结果对于油田流变性地层中套管、水泥环组合体的设计具有重要的指导意义。
In this paper, many oilfields in China often occur in the development process creep flow of rheological formations and squeeze a large number of casing the actual situation, the use of elastic mechanics of the complex function method, derived a casing, cement ring assembly in various types Calculation formula of internal stress state of casing under non - uniform surrounding rock under variable load. The capability of the composite body to withstand the creep load of all kinds of non-uniform surrounding rock is analyzed and calculated by the deduced formula. The influence of the elastic parameters and the geometric parameters of the casing and cement ring on the bearing capacity of the composite body is studied, and many regularities Understanding of the results for the rheological strata in the casing, cement ring assembly design has an important guiding significance.