横观各向同性岩体中马蹄形隧洞的位移反分析方法

将各向异性岩体中任意形状隧洞的位移解析解与智能算法--差分进化法（DE）结合，研究横观各向同性岩体中在各向异性面上开挖马蹄形隧洞的位移反分析问题，获得关于参数灵敏度、参数可惟一辨识性和测线布置方案的有关结论。计算发现，通过DE算法可获得很高精度的参数辨识结果；参数的可惟一辨识性不仅与灵敏度有关，还与具体的参数组合形式有关，在给定竖向地应力和各向同性面角度的情况下最多可以高精度惟一辨识5个参数；当待辨识参数的个数大于等于4时会产生不可完全高精度惟一辨识的参数组合，当待辨识参数的个数小于等于3时，任意的参数组合形式均可以被高精度惟一辨识。

Analytical method of displacement back analysis for horseshoe tunnel excavated in transverse isotropic rock mass

We combine the analytical solution of displacement for arbitrary-shaped tunnel in anisotropic media with the intelligent algorithm-differential evolution(DE) to investigate the displacement back analysis for horseshoe tunnel excavated on an anisotropic plane in transverse isotropic rock mass. The conclusions about parameter sensitivity, parameter unique identifiability and measuring line arrangement are obtained. In identifications, the high accuracy results for parameters can be obtained by DE algorithm. The parameter unique identifiability is not only related to the sensitivity, but also the combination type. When the vertical in-situ stress and the angle of isotropic plane are given, the maximum amount of uniquely identified parameter is 5. When the amount of identified parameter is equal to or bigger than 4, the combinations that cannot be uniquely identified will exist. When the amount of identified parameter is equal to or less than 3, any parameter combination can be uniquely identified with high accuracy.