Soil deformation induced by Double-O-Tube shield tunneling with rolling based on stochastic medium theory

The prediction of soil deformation during tunneling is very difficult for Double-O-Tube (DOT) shield tunnel construction, especially for the shield rolling. According to the characteristics of DOT shield tunneling and rolling, a calculation model of soil deformation due to tunneling-induced ground loss was established. Based on the stochastic medium theory, the theoretical solutions of soil deformations considering the rolling of DOT shield machine were derived by polar coordinate transformation and multi-subdomain integral method. The predicted surface settlement from the proposed solution is better agreement with the observed data than those obtained by the two previous methods (namely the equivalent excavated-area method (EAM) and the simple superstition method (SM)). In addition, only ground surface settlement can be estimated under no rolling of DOT shield machine using the two previous methods, while this proposed solution owns great progress in solving the subsoil deformation and the influences of rolling. In order to further study the influence of DOT shield rolling angle on soil deformation under different engineering conditions, the parameter sensitivity analyses regarding the tunnel depth h, the ground loss parameter ɛ and the influence zone angle β0 were extensionally discussed.