平行双孔水工隧道相互作用的时效解答

地下工程中常遇到流变岩体中双线近距离隧道施工问题。隧道施工位移的预测和控制,特别是新建隧道的施工对既有隧道产生的影响,是工程中面临的重要问题。针对流变岩体中深埋双圆形水工隧道的问题,笔者采用复变函数方法和Laplace变换技术建立了考虑施工过程时黏弹性应力、位移与弹性复位势之间的关系,然后运用黏弹性叠加原理得到了整个施工过程各个阶段围岩应力和位移全量和增量理论解答,并据此进行新建隧道对既有隧道的影响分析。为验证解答的正确性,对一算例进行了有限元解答和理论解答的比对,两者吻合很好。与数值与实验方法相比,本文解答可以较为便利地对岩体应力、位移进行参数分析,进一步可以指导工程的初步设计。

Analytical Solution for Interaction between Parallel Twin Hydraulic Tunnels

The excavation of two closely located parallel tunnels in rheological rock is often encountered in underground constructions. Therefore, it is highly necessary to predict the influence of the new tunnel on the existing one, so that the safety of tunnel constructions can be ensured. For deeply buried twin hydraulic tunnels in visco-elastic rock, the relationships between the visco-elastic stress, displacement and two potentials of elastic problem are established by using the complex variable function method and Laplace transform technique. Then, the expressions of the total and incremental stress and displacement during each step of sequential excavations are formulated based on superposition principle of visco-elastic problem. Based on the solutions, the influence of the newly constructed tunnel on the existing one has been analyzed. To validate the methodology, finite element analyses were run and a good agreement was shown between results from finite element analyses and the analytical solutions under the same conditions. Compared with numerical and experimental studies, the analytical solution can provide a convenient way of parametric analyses on stress and deformation for preliminary design of tunnels.