Reliability Analysis of Tunnel Lining Stability Based on Kriging Algorithm
Xiang Li · Journal of Highway and Transportation Research and Development · 2009
According to the conventional theory of deformation pressure,the four-stage idea for evolution of deformation pressure of surrounding rock was proposed when adding the plasticity-separateness process to it.On this basis,the performance function for structural stability of tunnel lining was developed,and the fact that the reliability evaluation is hampered by the implicit form of performance function was indicated.By using the expression capability of variance function for the characteristics of random variables and the interpolation technique in Kriging algorithm as well as Latin hypercube sampling method,both the formulation of variance function for minimum support resistance of surrounding rock and the interpolation of performance function for tunnel lining stability were derived,and then the corresponding process for accomplishing abovementioned tasks was also presented,thus the problem of the calculation of reliability index in the context of the non-explicit expression of performance function for tunnel lining stability was resolved.In comparison with Monte-Carlo simulation method,the iterations of computation process in this illustrative example through the proposed procedure were alleviated to a large extent,the absolute error of failure probability is only 0.004 9% and the relative error is approximate to 2.523 8%,which demonstrates that the Kriging algorithm is not only efficient but also can fulfill the precision level of calculated results.