Stress solution of transversely isotropic surrounding rock for shallow buried elliptic tunnels

This paper develops a method to obtain the stress solution of the transversely isotropic surrounding rock for shallow elliptical tunnels. Based on the stress solution of the transversely isotropic surrounding rock for deeply buried elliptical tunnels, the Schwarz alternating method is used to solve the stress of surrounding orthotropic rock with a shallow elliptical tunnel. A MATLAB program is developed to implement the derived theory, and the numerical simulation results are compared with those of existing solution and the finite element software ABAQUS, demonstrating the rationality and correctness of the present theory in this paper. Finally, the influences of factors such as rock and soil transverse isotropy, tunnel depth, and tunnel aspect ratio on the stress distribution around the tunnel are discussed.

Automated summary

This paper develops a method to obtain stress solution for shallow elliptical tunnels with transversely isotropic surrounding rock. The method uses the Schwarz alternating method and a MATLAB program for numerical simulation. The results are compared with existing solutions and ABAQUS software, demonstrating the rationality and correctness of the theory. The paper also discusses the influence of factors such as rock and soil transverse isotropy, tunnel depth, and tunnel aspect ratio on the stress distribution around the tunnel.