Reliability Analysis of Surrounding Rock Stability in Hydraulic Tunnels Based on Fuzzy Random Theory

The study of the stability of rock masses in hydraulic tunnels is a highly complex problem with significant uncertainty, involving a large amount of randomness and fuzziness. Traditional deterministic analysis methods are insufficient in capturing the aforementioned characteristics. Therefore, based on fuzzy random theory, this paper establishes a fuzzy random reliability calculation model for the stability of rock masses in hydraulic tunnels. The model constructs a functional relationship that represents the safety margin of the stability, taking into account the fuzziness and randomness of the failure events in hydraulic tunnels. The proposed model is applied to an engineering case study, and the computed results align well with the actual conditions. This model provides a more accurate reflection of the real state of the rock masses in hydraulic tunnels and offers a scientifically rational alternative for calculating the stability of rock masses in hydraulic tunnels.