Elastic Analyses for a Circular Pressured Tunnel with Liner Based on a New Model

The support of underground structures must be appropriately designed. New analytical solutions for a deep tunnel with liner in isotropic geomaterial have been obtained for a hydrostatic-pressure condition by using the complex potential theory proposed by Muskhelishvili. The construction sequence of the tunnel is properly modeled in the analytical solution. The sensitive analyses indicate that the flexible support is favorable to decrease the support pressure and the installation of the liner must be well-timed towards the different situations. And that the liner rigidity is increased and the liner is installed as early as possible, which both are advantageous to reduce the surrounding geomaterial deformation. The analyses also show that the structure has a strong dependency on the liner thickness. The present solutions contain previously known results as the special cases.