Study of model longitudinal range in numerical 
simulation of deep tunnel excavations

SU Kai; CHANG Zhi-hui; CUI Jin-peng; WU He-gao

doi:10.16285/j.rsm.2016.S2.090

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Study of model longitudinal range in numerical simulation of deep tunnel excavations

更新时间：2026-06-25

- Study of model longitudinal range in numerical simulation of deep tunnel excavations
- Vol. 37, Issue S2, Pages: 706-714(2016)
- 作者机构：
  
  武汉大学水资源与水电工程科学国家重点实验室,湖北,武汉,430072
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2016.S2.090
  CLC： U452
- Online First：09 June 2018，
  
  Published：2016
- 稿件说明：
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SU Kai, CHANG Zhi-hui, CUI Jin-peng, et al. Study of model longitudinal range in numerical simulation of deep tunnel excavations[J]. 2016, 37(S2): 706-714.
DOI：

SU Kai, CHANG Zhi-hui, CUI Jin-peng, et al. Study of model longitudinal range in numerical simulation of deep tunnel excavations[J]. 2016, 37(S2): 706-714. DOI： 10.16285/j.rsm.2016.S2.090.

摘要

模型范围是影响数值分析计算精度与效率的重要因素，针对深埋隧洞开挖数值模拟分析问题，采用有限差分软件FLAC3D和复合失稳准则，对计算模型的纵向范围取值问题展开研究。首先分析了深埋隧洞开挖过程中围岩纵向变形以及未开挖岩塞对围岩变形的约束作用，然后研究了近端边界和远端边界对监测断面位置处围岩变形的影响，最后采用最小二乘法对多组计算结果进行了位移误差分析，并给出了纵向模型范围的取值建议。研究结果表明，当监测断面距掌子面大于10倍洞径时，未开挖岩塞的约束作用基本消失；远端边界以及近端边界与监测断面的最大位移误差值之间均基本满足幂函数关系，且远端边界对监测点位移误差的影响要大于近端边界；深埋隧洞开挖数值模拟中，纵向模型范围取7.5倍洞径即可满足一般数值分析的精度要求。

Abstract

Model ranges have important influence on calculation accuracy and efficiency in numerical simulation. According to the problem of numerical simulation of deep tunnel excavation

the model longitudinal range value is investigated with the finite difference software FLAC3D and the compound failure criterion. First

the general law of deformation of surrounding rock in longitudinal direction and the influence of unexcavated rock plug on the deformation of surrounding rock in deep tunnel excavation is analyzed. Further

the influence of the proximal and the remote boundary on the deformation of surrounding rock at monitoring section is yielded by the error analysis with the Least Square Method

to present the suggestions of the model longitudinal range. The results show that when the distance between the tunnel front and the monitoring section is more than 10 times tunnel diameter

the constraint of unexcavated rock plug on the deformation of surrounding rock can be ignored. The remote boundary distance

as well as the proximal boundary distance

has a power function relationship with the maximum numerical error of the displacement. Moreover

the remote boundary distance has greater influence on the numerical error of the deformation than the proximal boundary. When the longitudinal range of model is not less than 7.5 times tunnel diameter for the deep tunnel excavation simulations

the accuracy of general numerical simulation will be satisfied.

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