Abstract
To improve the theoretical analysis of surrounding rock stability of shallow buried tunnels. The strength reduction shortest path theory is applied to the stability analysis of shallow buried tunnel surrounding rock, combined with the ultimate equilibrium strength reduction theory. We discussed the influence of the depth and span ratio of tunnel, cohesion, and internal friction angle on the shortest path of the strength reduction, and studied the effects of various factors on shallow buried tunnel safety relationship by using strength reduction factor of safety and the shortest path of the shallow buried tunnel surrounding rock and the grey relational analysis theory. The results show that: in the analysis of shallow buried tunnel in strength reduction, the approximate distribution obeys parabolic between reduction path length and the reduction ratio. When the strength reduction of cohesion is the shortest path the reduction rate is greater than the internal friction angle. The internal friction angle and cohesive force have a great influence on the stability of shallow tunnels under the method of shortest path of strength reduction. Finally, the comprehensive safety factor of shallow buried tunnels calculated by the finite element strength reduction shortest path method is greater than that calculated by the limit equilibrium method.
Highlights
The stability analysis of a shallow buried tunnel is an important theoretical basis to guide practical engineering
The internal friction angle and cohesive force have a great influence on the stability of shallow tunnel under the method of shortest path of strength reduction
The strength reduction shortest path theory [23,24] assumes that the cohesion and internal friction angle of rock and soil mass is reduced by different proportions
Summary
The stability analysis of a shallow buried tunnel is an important theoretical basis to guide practical engineering. The strength reduction shortest path theory [23,24] assumes that the cohesion and internal friction angle of rock and soil mass is reduced by different proportions. F φ specific reduction ratio λ corresponding to it At this time, we can artificially assume different reduction ratios λ to make the rock and soil mass be reduced according to different reduction paths, to quantitatively analyze the stability of the surrounding rock of the shallow buried tunnel. Regarding the non-proportional reduction of the cohesive force c and the internal friction angle φ of the rock and soil, we can specify the magnitude of the ABAQUS midfield variable, and determine the limit state of the tunnel surrounding rock according to the instability criterion. The sudden change in the settlement of the tunnel vault is selected as the criterion for the failure of the tunnel, and the safety factor at this time is selected for calculation and analysis
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