横观各向同性岩体中深埋圆形巷道的位移解析解  

Displacement analytic solution of deep buried circular tunnel in transverse isotropy rock mass

作　　者：张志增[1,2] 李仲奎[1,2] 许梦国[3] 

机构地区：[1]清华大学水沙科学与水利水电工程国家重点实验室 [2]清华大学水利水电工程系 [3]武汉科技大学资源与环境工程学院

出　　处：《黄金》2010年第3期23-26,共4页Gold

基　　金：国家自然科学基金委员会;二滩水电开发有限责任公司雅砻江水电开发联合研究基金项目(50539090)

摘　　要：自然界中具有层状构造的沉积岩约占陆地面积的2/3,而中国占到77.3%,许多变质岩也具有显著的层状构造特征,所以在采矿工程中遇到大量的层状岩体稳定性问题。对于层状岩体,在力学上可将其处理成横观各向同性体。根据横观各向同性弹性力学的平衡方程、物理方程和几何方程,推导了横观各向同性岩体在极坐标系下的相容方程,得到了二向不等压应力条件下横观各向同性岩体中深埋圆形巷道的位移解析解。虽然在推导中假设巷道横断面平行于各向同性面,但位移解析解表明,围岩径向位移不仅与各向同性面上的弹性模量和泊松比有关,而且与垂直各向同性面方向的弹性模量和泊松比有关。The sedimentary rock with layer structure occupyies 2/3 land area in the world, and the number in China is 77.3%. Meanwhile, much metamorphic rock has remarkable layer structure characteristics as well. So the mining process usually faces a lot of stability problems of layered rock mass. Layered rock mass can be treated as transverse isotropy body in mechanics. The compatibility equation in polar system for the transverse isotropy rock mass is derived based on the equilibrium equation, physical equation and geometrical equation of transverse isotropy elastic mechanics. The displacement analytic solution of deep buried circular tunnel is obtained, in transverse isotropy rock mass with 2 direction unequal pressure stress condition. Although it is supposed that the tunnel cross section is parallel with the isotropic surface, the solution reveals that the wall rock radial displacement is not only related to the elastic modulus and Poisson ratio of the isotropic surface, but also to that of the surface perpendicular to the isotropic face.

关 键 词：岩石力学 横观各向同性 圆形巷道 位移 解析解 

分 类 号：TD31[矿业工程—矿井建设]