An Analytical Solution of Mechanical Behaviors of&nbsp;a
Deep Circular Pressure Tunnel Based on Displacement Release Coefficient

GUO Zhijie, WU Bisheng, YANG Ke, ZHOU Huangbin, YANG Renpeng

doi:10.3973/j.issn.2096-4498.2022.S1.034

2022 , Vol. 42 >Issue S1: 289 - 300

DOI: https://doi.org/10.3973/j.issn.2096-4498.2022.S1.034

An Analytical Solution of Mechanical Behaviors of a Deep Circular Pressure Tunnel Based on Displacement Release Coefficient

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(1. China Construction Third Engineering Bureau (Shenzhen) Co., Ltd., Shenzhen 518110, Guangdong, China;
2. Department of Hydraulic Engineering, Tsinghua University, Beijing 100084, China;
3. The Third Construction Co., Ltd. of China Construction Third Engineering Bureau, Wuhan 430070, Hubei, China; 4. China Construction Civil Engineering Co., Ltd., Beijing 100071, China)

Online published: 2022-08-23

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Abstract

To investigate the mechanical behaviors of tunnel surrounding rock in permeable rock stratum, an analytical model of stress and displacement of permeable deep buried circular pressure tunnel based on displacement release coefficient is established using the complex function method combined with Biot′s poroelastic theory. Based on the stressstrain constitutive equation and planestrain compatibility equation, the nonhomogeneous biharmonic equation of stress function is derived. Then, the stress function is expressed by complex potential function, and the coefficients of complex potential function are determined according to the boundary condition at the inner surface of liner and rock/liner interface. An example is calculated according to the given parameters, and the calculation results are compared with those of commercial finite element software, which shows excellent agreements. Meanwhile, by selecting different tunnel parameters and farfield stress ratio for sensitivity analysis, it is found that the tunnel has great differences in mechanical behavior under the conditions of soft liner and hard liner. The displacement release coefficient has a significant impact on the hoop stress and radial stress in the surrounding rock. The increase of displacement release may lead to tensile stress in the rock.

Key words： deep circular pressure tunnel; displacement release coefficient; poroelasticity theory; complex function method; analytical model

Cite this article

GUO Zhijie, WU Bisheng, YANG Ke, ZHOU Huangbin, YANG Renpeng .

An Analytical Solution of Mechanical Behaviors of a Deep Circular Pressure Tunnel Based on Displacement Release Coefficient

[J]. Tunnel Construction, 2022 , 42(S1) : 289 -300 . DOI: 10.3973/j.issn.2096-4498.2022.S1.034

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