横观各向同性岩体中圆形巷道反分析的惟一性  

Uniqueness of displacement back analysis of a circular tunnel in transversely isotropic rock mass

作　　者：张志增[1,2] 李仲奎[2] 

机构地区：[1]中原工学院建筑工程学院,郑州450007 [2]清华大学水利水电工程系,北京100084

出　　处：《岩土力学》2011年第7期2066-2072,共7页Rock and Soil Mechanics

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(No.50539090)

摘　　要：惟一性研究是位移反分析的基础工作之一。推导了横观各向同性岩体中圆形巷道的位移解析解,利用参数可辨识条件对横观各向同性岩体中圆形巷道位移反分析的惟一性进行了探讨。结果表明,无论量测多少个点的位移也不能惟一地反演出所有6个参数;必须至少已知3个参数时,才有可能惟一地反演其他参数;2个地应力分量是否相等对反分析结果有明显的影响;2个地应力分量的可辨识性最好,各向同性面上的弹性模量和泊松比次之,垂直各向同性面方向的弹性模量和泊松比最差。Uniqueness research is one of the basic theories of displacement back analysis. The displacement analytic solution of a deep circular tunnel in transversely isotropic rock mass is deduced firstly; and then the uniqueness of displacement back analysis of a circular tunnel in transversely isotropic rock mass is discussed by means of identifiability conditions. The results indicate： all of 6 parameters can＇t be determined simultaneously no matter how many the measuring points are set; only when there are at least 3 known parameters, may the other parameters be determined simultaneously; whether the vertical ground stress component is equal to the horizontal one has obvious influence on the results： in the aspect of identifiability, two ground stress components have the best effect, elastic modulus and Poisson ratio on the isotropic plane take the second place, and elastic modulus and Poisson ratio in the direction vertical to the isotropic plane have the worst effect.

关 键 词：岩体力学 横观各向同性 位移解析解 反分析 惟一性 

分 类 号：TD313[矿业工程—矿井建设]