防灾与环境

基于随机场理论的黄土隧道开挖地表变形分析

  • 欧尔峰 ,
  • 张旭旭 ,
  • 管性钰
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  • 兰州交通大学 土木工程学院,兰州 730070
欧尔峰(1979—),男,甘肃靖远人,博士,副教授。主要从事隧道抗震方面的研究。E-mail:ouerf@163.com
张旭旭(1999—),男,甘肃庄浪人,硕士生,主要从事随机场方面的研究。E-mail:2632864886@qq.com

收稿日期: 2025-03-22

  网络出版日期: 2026-03-03

基金资助

国家自然科学基金(52168058)

Surface Deformation Analysis during Excavation of Loess Tunnels Based on Random Field Theory

  • Ou Erfeng ,
  • Zhang Xuxu ,
  • Guan Xingyu
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  • School of Civil Engineering, Lanzhou Jiaotong University, Lanzhou 730070, P.R. China

Received date: 2025-03-22

  Online published: 2026-03-03

摘要

场地土体力学参数空间变异性给工程建设带来困难。为探讨土体力学参数空间变异性对盾构隧道施工引起地表变形的影响,依据西安市某地铁区间盾构隧道工程,考虑黄土力学参数弹性模量E、黏聚力c、内摩擦角φ空间变异性,利用协方差矩阵分解法建立土体力学参数的随机场模型,结合Monte-Carlo策略,采用有限元分析土体力学参数变异对地表变形的影响。结果表明:考虑土体力学参数空间变异性,可以避免传统分析中采用确定值为监测控制值的风险;土体力学参数空间变异性对地表变形曲线的离散程度和包络范围有较大影响,但并不会改变变形的趋势和规律;内摩擦角φ变异性对地表变形的影响较大,弹性模量E和黏聚力c影响次之,且两者影响程度相近;相关距离、变异系数与地表变形呈现正相关,相关距离越大、变异系数越大、地表变形的结果越离散,地表变形最大值与超越概率随之越大;建议在勘查阶段尽可能确定场地土体力学参数空间变异特征,施工时应该重视场地条件核查,积极采取工程措施,保证地表变形在控制范围之内。

本文引用格式

欧尔峰 , 张旭旭 , 管性钰 . 基于随机场理论的黄土隧道开挖地表变形分析[J]. 地下空间与工程学报, 2026 , 22(1) : 347 -357 . DOI: 10.20174/j.JUSE.2026.01.36

Abstract

The spatial variability of soil mechanics parameters poses challenges for engineering construction. Based on a metro tunnel project in Xi'an,this paper explores the impact of spatial variability on surface deformation caused by shield tunnel construction. It considers the elastic modulus E, cohesion c, and internal friction angle φ of loess. A random field model of soil mechanics parameters is established using covariance matrix decomposition, combined with the Monte Carlo method, to analyze the influence of parameter variability on surface deformation through finite element analysis. The findings indicate that: Considering spatial variability can reduce risks associated with using fixed values as monitoring controls. Spatial variability significantly affects the dispersion and envelope range of surface deformation curves, but does not change the deformation trends and patterns. The variability of the internal friction angle φ has the most substantial impact on surface deformation, followed by elastic modulus E and cohesion c, which have similar effects. Correlation distance and coefficient of variation are positively correlated with surface deformation. Greater correlation distance and coefficient of variation lead to more dispersed surface deformation results, increasing the maximum deformation value and exceedance probability. The research suggests that during the investigation phase, efforts should be made to determine the spatial variability characteristics of soil mechanics parameters. During construction, it is crucial to verify site conditions and actively implement engineering measures to ensure surface deformation remains within acceptable limits.

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