Improved stochastic medium theoretical model for predicting deformation of existing tunnels and strata caused by excavation of new undercrossing tunnels

XU Qiang; ZHU Yongquan; LEI Shengxiang; LIU Yong; ZHAO Wei; FANG Zhichun; WANG Cong; XU Shuo

doi:10.11779/CJGE20211447

Volume 45 Issue 2

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Chinese Journal of Geotechnical Engineering > 2023 > 45(2): 301-309. > DOI: 10.11779/CJGE20211447

XU Qiang, ZHU Yongquan, LEI Shengxiang, LIU Yong, ZHAO Wei, FANG Zhichun, WANG Cong, XU Shuo. Improved stochastic medium theoretical model for predicting deformation of existing tunnels and strata caused by excavation of new undercrossing tunnels[J]. Chinese Journal of Geotechnical Engineering, 2023, 45(2): 301-309. DOI: 10.11779/CJGE20211447

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Improved stochastic medium theoretical model for predicting deformation of existing tunnels and strata caused by excavation of new undercrossing tunnels

XU Qiang^{1, 2,},
ZHU Yongquan^{1, 2, ,},
LEI Shengxiang^{1, 3},
LIU Yong¹,
ZHAO Wei⁴,
FANG Zhichun¹,
WANG Cong¹,
XU Shuo¹

1.
School of Civil Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
2.
State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
3.
China Railway Construction Corporation Limited, Beijing 100855, China
4.
China Railway 18th Bureau Group Co., Ltd., Tianjin 300222, China

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Received Date: December 04, 2021
Available Online: February 23, 2023

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Abstract

Abstract

During the construction of new tunnels undercrossing the existing tunnels, the predicted results of the stratum deformation are prone to large errors since the traditional stochastic medium theory cannot consider the influences of the existing tunnel. Considering the non-uniform convergence of the tunnel section after excavation, the traditional stochastic medium theory is simplified and improved based on the relationship between the key parameters of the stochastic medium theory and those of the Peck's formula. The heterogeneous strata and existing tunnels are equated by applying the bending stiffness of an existing tunnel and the equivalent layer method. A prediction model for the deformation of the existing tunnels and strata caused by the excavation of new undercrossing tunnels is proposed, and based on the relevant typical project, its accuracy is validated. The results show that compared with those of the traditional stochastic medium theory, the predicted curves of the proposed model are "wide and shallow" and have a greater correlation with the numerical calculations and the field measurements, and they have a higher rationality and accuracy, which may provide a theoretical basis for the prediction of the deformation of the existing tunnels and strata caused by the excavation of undercrossing tunnels.
- undercrossing,
- stochastic medium theory,
- equivalent bending rigidity,
- equivalent layer method,
- heterogeneous stratum

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References (23)

References

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