基于约束随机场理论的隧道围岩参数空间变异性优化分析

Optimization Analysis on Spatial Variability of Tunnel Surrounding Rock Parameters Based on Constrained Random Field Theory

  • 摘要: 针对传统随机场模拟围岩参数空间变异性中存在的地勘数据使用效能不充分问题,文章通过将Kar?hunen-Loève级数展开法与克里金插值法有机结合,发展了基于采样数据的约束随机场生成方法,并与蒙特卡洛模拟、非侵入式随机有限差分分析和地层结构模型相结合,实现了基于约束随机场理论的围岩参数空间变异性优化分析模型。运用该模型对贺街隧道施工过程中围岩的力学响应进行可靠性分析,结果证明:通过约束指定位置处的围岩力学参数值,该优化模型可以最大限度地将己知信息纳入可靠性分析框架中,减小与实际情况的离散性,提高可靠性分析的计算精度。

     

    Abstract: Aiming at the problem of insufficient use of geological prospecting data in the traditional random field simulation of spatial variability of surrounding rock parameters, the constraint random field generation method based on sampling data is developed through the combination of the Karhunen-Loève series expansion method with the Kriging interpolation. Besides, combined with Monte Carlo simulation, non-intrusive stochastic finite difference analysis and stratigraphic structure model, the optimization analysis model of spatial variability of surrounding rock parameters based on constrained random field theory has been realized. This model is used for reliability analysis of the mechanical response of surrounding rocks during the construction of Hejie Tunnel. The results show that through the constraint of the surrounding rock mechanical parameters at specified location, the optimization model can introduce the known information into the reliability analysis as much as possible, reduce the discreteness from the actual condition and improve the calculation precision of reliability analysis.

     

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