Abstract:
Objective Shield tunneling inevitably induce stratum loss, subsequently causing ground deformation. Existing analytical solutions use undetermined parameters as inputs, but the complexity of parameter determination limits the application of analytical solutions. Therefore, it is necessary to establish the relationship between the stratum loss and the undetermined parameters in analytical solutions to simplify the application process.
Method Based on the analytical solutions for ground deformation induced by tunnel excavation proposed by Verruijt and Sagaseta, the relationship between the undetermined parameters required in the analytical solution and ground loss is derived using integral formulas, by incorporating the concepts of stratum loss and relative deformation. Under the assumption of plane strain problems, the variation formula of the undetermined parameters along the shield tunneling direction is obtained, thereby extending the analytical solutions to 3D space. Furthermore, the ground deformation law induced by ground loss during shield tunneling is analyzed through practical engineering cases, and compared with field-measured values to verify the reliability of the method.
Result & Conclusion The 3D deformation results obtained by this method align with engineering experience, effectively reflecting the distribution law of ground deformation and demonstrating good fitting outcome with field-measured data. Using this method, combined with Verruijt’s complex variable solution and Sagaseta’s mirror image solution, the 3D deformation at any point in the ground due to the ground loss during shield tunneling can be determined, thereby enabling the prediction of ground deformation induced by shield tunneling.