Study on Uncertainty Analysis and Sensor Placement of Tunnel Lining Structure
In tunnel engineering,ensuring the safety of the lining structure is crucial,with internal force analysis and safety as-sessment being key components.This study analyzed the structural internal forces through numerical simulations and on-site monitor-ing measurements,calculating the safety factors at critical locations.Given the existence of modeling and measurement errors,this paper introduced a probabilistic model to quantify the uncertainty in estimating safety factors,and normalizes the reconstruction errors of axial forces and bending moments to comprehensively evaluate the suitability of measurement points.Taking a tunnel in Anhui as an example,the study comprehensively analyzed the impact of factors such as the rock pressure sharing ratio,the horizontal rock pres-sure coefficient,and measurement noise on the estimation of safety factors.The estimated safety factors generally followed a normal distribution trend,with larger fluctuations at the mid-arch and arch shoulder positions.Aiming to reduce estimation uncertainties and biases in the reconstruction of internal force information,measurement points were arranged in accordance with on-site working condi-tions.Long-term monitoring data indicated that the internal forces in the secondary lining structure fluctuated significantly due to vari-ous factors at the initial stage of casting and stabilized after 100 days,ensuring an adequate safety reserve for the structure.This re-search can provide references for the statistical analysis of safety factors and sensor placement in tunnel lining structures.