基于隧道不均匀变形的地表沉降随机介质理论预测模型

doi:10.13722/j.cnki.jrme.2017.1531

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摘要随机介质理论法是地表沉降预测的一种实用方法，经典的计算模型中一般假定隧道开挖断面是均匀收敛的，提出一种3种变形模式叠加的参数化的不均匀收敛变形模式，将其引入随机介质理论，建立考虑隧道不均匀收敛变形的地表沉降预测模型，并推导用相对隧道变形参数表示的地表沉降、倾斜和曲率的预测公式，研究隧道变形参数对沉降槽的影响。以北京地铁八号线大红门桥站～和义站区间盾构隧道工程为背景，进行反分析研究。结果表明：(1) 考虑隧道不均匀收敛变形时的沉降槽比只考虑均匀收敛变形时的沉降槽要窄而深；(2) 采用本文的隧道变形模式求得的预测沉降曲线优于另外2种模式的计算结果；(3) 该案例中各个参数的经验取值分别为地层主要影响角β = 34.65°～37.61°，相对收敛? = 0.81%～0.97%，相对椭圆化δ = 0.41%～0.53%，相对下沉λ = 0.26%～0.38%。通过案例分析，证明本模型的科学性与实用性，可为类似地铁施工的地表沉降预测提供参考。

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	刘波1
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	杨伟红1
	张功3
	高雷1

关键词 ：隧道工程, 隧道变形, 地表沉降, 不均匀收敛, 随机介质理论

Abstract：Stochastic medium theory is a practical method in ground settlement prediction. It is generally assumed that the cross section of tunnel is uniformly converged. A parameterized non-uniform tunnel deformation mode containing three different modes is proposed in this paper. A model for predicting ground surface settlement is established by combining the stochastic medium theory. The formulae of settlement，slope and curvature are deduced in terms of relative tunnel deformation parameters. The influence of the tunnel deformation parameters on settlement trough is considered. Back analysis on the tunnel section from Dahongmen Bridge Station to Heyi Station in Beijing is presented. The results show that the settlement trough of non-uniform tunnel deformation is narrower and deeper. The predicted settlement trough calculated with the deformation mode in this paper is better than the other two. The empirical values of the parameters，the angle of influence zone of ground surface settlement β，the relative convergence ε，the relative ovalization δ，the relative vertical movement λ，are 34.65°–37.61°，0.81%–0.97%，0.41%–0.53%，0.26%–0.38%，respectively. The case study confirmed the soundness of the prediction model.

Key words： tunnelling engineering tunnel deformation ground surface settlement non-uniform convergence stochastic medium theory

引用本文:

刘波1，2，杨伟红1，张功3，高雷1. 基于隧道不均匀变形的地表沉降随机介质理论预测模型[J]. 岩石力学与工程学报, 2018, 37(8): 1943-1952.
LIU Bo1，2，YANG Weihong1，ZHANG Gong3，GAO Lei1. A prediction model based on stochastic medium theory for ground surface settlement induced by non-uniform tunnel deformation. , 2018, 37(8): 1943-1952.

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http://www.rockmech.org/CN/10.13722/j.cnki.jrme.2017.1531 或 http://www.rockmech.org/CN/Y2018/V37/I8/1943

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