基于土体参数空间变异性黄土双线地铁隧道地震响应分析

Seismic Response Analysis of Loess Double Track Subway Tunnel Based on Spatial Variability of Soil Parameters

  • 摘要: 地震作用下隧道结构的动力响应与周围土体介质属性密切相关。为研究黄土地区土体参数空间变异性对地铁隧道地震响应的影响,以某双线地铁隧道工程为研究背景,采用协方差矩阵分解法建立黄土弹性模量E、黏聚力c、密度ρ和内摩擦角φ的随机场模型,结合非侵入式有限元方法与Monte-Carlo策略,分析不同土体参数随机化及其变异系数对地铁隧道地震响应的影响。结果表明:不同参数的空间变异性对地铁隧道内力地震响应的影响规律相似,结构应力响应较均值场结果波动约±50%;弹性模量E和黏聚力c的影响最大,其次为密度ρ和内摩擦角φ,抗震设计时应着重考虑Ec的空间变异性;隧道结构地震响应与变异系数呈正相关,衬砌45°、135°、225°、315°位置处为隧道受力最不利位置,变异系数增大可使应力响应幅值提高约30%~40%;在95%置信水平下,采用均值场分析将低估地震风险。

     

    Abstract: Seismic-induced dynamic responses of tunnel structures are governed by the spatial variability of surrounding soil properties. To quantify the influence of such variability in loess strata, a twin-tube metro tunnel in a loess region was investigated. Cross-covariance matrix decomposition was employed to generate random fields of elastic modulus (E), cohesion (c), density (ρ) and internal friction angle (φ) of the loess. A non-intrusive stochastic finite-element framework combined with Monte-Carlo simulation was then used to examine how the randomisation of these parameters and their coefficients of variation (COVs) affect the seismic response of the tunnel. The results revealed that all parameters produced similar patterns in the internal-force response; stress fluctuations were approximately ±50% relative to the mean-field solution. Elastic modulus and cohesion exerted the dominant influence, followed by density and internal friction angle; therefore, the spatial variability of (E) and c should be prioritised in seismic design. Tunnel response increased monotonically with the COV, and the most critical sections were located at 45°, 135°, 225° and 315° of the lining. A higher COV amplified the stress amplitude by 30 %~40 %, and mean-field analyses were shown to underestimate the seismic hazard at the 95 % confidence level.

     

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