内压和自重作用下浅埋管道围岩的应力解1)

对于浅埋管道而言,土体自重对其围岩应力场影响不可忽略。基于Verruijt提供浅埋洞室问题求解基本方法,同时考虑自重和内压作用,研究了半无限域中圆形孔洞的围岩应力问题。利用复变函数、保角映射和傅里叶变换等方法,推导了考虑围岩自重和内压作用下半无限域中孔洞应力的解析解,分析了内压和孔洞大小及径深比对考虑自重作用下的围岩应力的影响,为管道设计和施工安全提供了理论依据。

ANALYTICAL SOLUTIONS FOR THE STRESS IN THE SURROUNDING ROCK CONTAINING A CIRCULAR CAVITY WITH CONSIDERATION OF INTERNAL PRESSURE AND GRAVITY1)

The influence of the surrounding rock weight on the rock stress around a shallow buried pipe can not be neglected. Based on the solution method proposed by Verruijt, with both the deadweight and the internal pressure considered, the surrounding rock stress in a semi-infinite region with a circular cavity is studied. The analytical solution of this problem by using complex functions, conformal mapping and Fourier transforms is obtained. The influence of the internal pressure and the radius and the ratio of the radius to the depth on the stress of the surrounding rock with consideration of the internal pressure and the deadweight is analyzed, which provides a theoretical basis for the pipeline design and the construction safety.