Stress Distribution Around Arbitrarily Shaped Shallow Buried Tunnels in Transversely Isotropic Rock Mass

In this paper, the stress solutions around shallow buried tunnels with arbitrary shapes in transversely isotropic rock mass are derived. First, the hybrid penalty function method is employed to derive the mapping function from an arbitrarily shaped tunnel to a unit circle in the complex plane. Then the complex function method and the Schwartz alternating method are used to derive the solution of the studied problem. A MATLAB program is developed on the basis of the presented theory. Thereafter, the finite element results of ABAQUS are compared with those obtained by the presented solutions, which confirms the theoretical and computational accuracy of the proposed approach, and the impacts of transverse isotropy, tunnel depth, and tunnel shape on the surrounding rock stresses are discussed.