中文摘要：

套管完井结构（套管＋水泥环＋围岩）的长度远大于直径,将平面SH波作用下套管完井结构的动力响应问题简化为二维平面问题,假定套管、水泥环和围岩均为各向同性的均质弹性体,运用波函数展开法和复变函数的保角映射法,根据套管内边界自由、套管与水泥环完全联结和水泥环与围岩完全联结的边界条件,得到散射和折射SH波势函数展开式的待定复系数的理论解。以某气田102井的套管结构为实例,计算地震SH波产生的套管动应力,其最大值大于套管屈服应力,由此说明地震是导致该气田套管变形的直接原因。最后,通过引入动应力集中因子概念,分析围岩和水泥环对动应力集中的影响,结果表明：（1）降低水泥环的强度可以减小水泥环的动应力集中;（2）围岩越硬,水泥环的动应力集中越小;（3）围岩的动应力集中基本不受围岩软硬程度和水泥环强度的影响。

英文摘要：

The length of casing well completion structures that composed of casing,concrete ring and surrounding rocks are much larger than their outer diameters,so the problem of dynamic response of casing well completion structures caused by incident plane SH wave can be simplified as 2D plane problems.The casing,concrete ring and surrounding rocks are all considered as homogeneous isotropic elastic bodies.The wave function expansion method and conformal mapping method of complex function are adopted.The theoretical solutions about the complex coefficients of the scattering and refracting SH waves are obtained based on the boundary conditions that the inner side of the casing is free and the casing,concrete ring and surrounding rocks are tied completely.The casing well structures of 102 well in a gas field is taken as an example.The dynamic stresses of the casing caused by earthquake SH waves are calculated.The maximum stress is larger than the yield stress.Therefore the earthquake is the direct reason that causes the casing deformation in this gas field.In the end,the dynamic stress concentration factor is introduced,and the influences of surrounding rocks and concrete ring on the dynamic stress concentration factor are analyzed.Some important conclusions are obtained,which include：（1） reduction the strength of the concrete ring would reduce its dynamic stress concentration factor;（2） the stiffer the surrounding rocks are,the lower the dynamic stress concentration factor in concrete ring would be;（3） dynamic stress concentration factor of surrounding rocks is less influenced by the thickness of surrounding rocks and modulus of concrete ring.