Research on the Probability Model of the Safe Thickness of Water-Inrush Rock Strata in Tunnels Based on Information Diffusion
A mechanical model for the minimum safe thickness of rock strata in a tunnel is established by the virtual work principle and the Mohr Coulomb strength criterion,and a calculation formula is derived.From the formula,it can be seen that the minimum safe thickness of rock strata is affected by factors such as the tunnel radius,the internal friction angle of rocks,the water pressure of the solution cavity in front of the tunnel face and cohesive force.For the character-istics of the incomplete information of small samples,a probability estimation model for the mechanical parameters(co-hesion,internal friction angle,elastic modulus)of rocks and the minimum safe thickness of rock strata is established based on the principle of information diffusion,and the probability density distribution function of the mechanical parameters and minimum safe thickness of rocks is obtained based on the sample data of the five tunnels of the Yichang-Wanzhou Railway,and a graph is drawn.The probability model of the minimum safe thickness of rock strata in tunnels established based on the principle of information diffusion can effectively utilize sample data information.The established probability model of the minimum safe thickness rock strata can be applied to the risk assessment of sudden water-inrush disasters in karst tunnels,which has certain reference value for design and construction.
Information diffusionMinimum safe thickness of rock strataProbability modelWater inrush