Three-Dimensional Mathematical Model of a Single-Vault Metro Station

To model the junction of a single-vault station segment with a diaphragm wall, escalator and interstation tunnels using a three-dimensional framework. Methods: Mathematical modelling by the finite element method. Results: A comprehensive three-dimensional model has been created, incorporating the ground massive, station lining, support tunnels, and a diaphragm wall, as well as the linings of the interstation and escalator tunnels. The analysis has revealed that the deformations of the station lining and the stresses in the blocks vary by a factor of 1.5 to 2, depending upon the geomechanical model of the ground massive utilised and the approach taken to calculate the characteristics of the interface elements. Notably, a reduction in the stiffness coefficients of the interface elements results in increased deformations and a decrease in the stresses within the lining elements. Therefore, it is recommended to conduct calculations for maximum deformations and maximum stresses concurrently, applying various characteristics of the interface elements. Practical significance: The findings of the study can be applied during the design phase of single-vault stations with prefabricated block lining.