套管-水泥环-地层应力分布的理论解  

THEORETICAL SOLUTIONS OF STRESS DISTRIBUTION IN CASING-CEMENT AND STRATUM SYSTEM

作　　者：殷有泉[1] 陈朝伟[2] 李平恩[1] 

机构地区：[1]北京大学工学院力学与空天技术系,北京100871 [2]北京大学地球与空间科学学院地球物理系,北京100871

出　　处：《力学学报》2006年第6期835-842,共8页Chinese Journal of Theoretical and Applied Mechanics

基　　金：教育部博士点专项科研基金资助项目(20050001016).~~

摘　　要：利用弹性力学理论研究地应力场中套管-水泥环-地层系统应力分布的理论解,在求解过程中,将原问题分解为两个相对简单的子问题．考虑到套管井系统是层状结构的特点,且各层受力情况具有相似性。进一步地,基于两个弹性力学平面应变基本问题的解,采用结构力学的求解思想,由位移连续条件分别求得了两个子问题的解,最后由叠加原理得到了原问题的理论解．The theoretical solutions of a casing-cement-stratum system in the formation stress field are studied using the elasticity theory. The problem is divided into two relatively simple subproblems. The cased hole system is a cylindrical layer structure and the loading state of each layer is similar. The solutions of two plane strain basic problems can be used to obtain the analytic solutions of two subproblems through the continuity condition of displacement. The theoretical solutions for the stress distribution in casing-cement and stratum system are finally obtained by applying the superposition principle.

关 键 词：套管-水泥环-地层系统 应力分布 理论解 平面应变问题 叠加原理 

分 类 号：O346[理学—固体力学]