Explicit Procedure and Analytical Solution for the Ground Reaction Due to Advance Excavation of a Circular Tunnel in an Anisotropic Stress Field

• Published in: Geotechnical and geological engineering Vol. 36; no. 5; pp. 3281 - 3309
• Main Author: Lee, Yu-Lin
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.10.2018; Springer Nature B.V
• Subjects: Anisotropy; Circularity; Civil Engineering; Closed form solutions; Computation; Dredging; Earth and Environmental Science; Earth Sciences; Economic models; Exact solutions; Excavation; Finite element method; Geotechnical Engineering & Applied Earth Sciences; Hydrogeology; Numerical analysis; Original Paper; Spreadsheets; Stress concentration; Stress distribution; Stress ratio; Terrestrial Pollution; Tunnels; Waste Management/Waste Technology; Tunneling; Convergence–confinement method (CCM); Confinement loss; Explicit procedure; Anisotropic stress field; Analytical solution
• ISSN: 0960-3182; 1573-1529
• DOI: 10.1007/s10706-018-0537-4

The convergence–confinement method applied in boring a circular tunnel through a rock-mass assumed to be subject to a non-hydrostatic stress is investigated. The closed-form analytical solutions of the stresses/displacements in the elastic region and plastic region for the ground reaction due to excavation of the tunnel in an anisotropic stress state field are presented in a theoretically consistent way. The explicit procedure realized the analytical solution to an executable computation that can be estimated using a simple spreadsheet. The validity of the procedure for the analytical solution was examined by numerical analysis to investigate the influence of in situ stress ratio on the ground reaction curve, the stress path at the intrados of the tunnel, and the distribution of stresses/displacements on the cross-sections of a circular tunnel. The agreement between the finite element results and the proposed closed-form solutions with the explicit procedure was found to be excellent.