Volume 23 Issue 4
Aug.  2023
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HAN Xin, YE Fei, LIU Chang, HAN Xing-bo, JIA Yan-ling, WANG Dong-fang. Calculation method of semi-ellipsoid loose load on tunnel in weak and fragmented stratum[J]. Journal of Traffic and Transportation Engineering, 2023, 23(4): 165-177. doi: 10.19818/j.cnki.1671-1637.2023.04.012
Citation: HAN Xin, YE Fei, LIU Chang, HAN Xing-bo, JIA Yan-ling, WANG Dong-fang. Calculation method of semi-ellipsoid loose load on tunnel in weak and fragmented stratum[J]. Journal of Traffic and Transportation Engineering, 2023, 23(4): 165-177. doi: 10.19818/j.cnki.1671-1637.2023.04.012
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Calculation method of semi-ellipsoid loose load on tunnel in weak and fragmented stratum

doi: 10.19818/j.cnki.1671-1637.2023.04.012
  • 1.

    School of Highway, Chang'an University, Xi'an 710064, Shaanxi, China

  • 2.

    Key Laboratory of Transportation Tunnel Engineering of Ministry of Education, Southwest Jiaotong University, Chengdu 610031, Sichuan, China

  • 3.

    Guangxi Zhuang Autonomous Region Highway Tunnel Safety Early Warning Engineering Research Center, Guangxi Transportation Science and Technology Group Co., Ltd., Nanning 530007, Guangxi, China

  • 4.

    School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China

Funds:

National Natural Science Foundation of China 52078046

National Natural Science Foundation of China 52108360

Fundamental Research Funds for the Central Universities 300102212702

More Information
  • Author Bio:

    HAN Xin(1993-), male, doctoral student, hanxin@gfscw.cn

    YE Fei(1977-), male, professor, PhD, xianyefei@126.com

  • Received Date: 2023-02-11
  • Publish Date: 2023-08-25
    Abstract
  • To effectively control the tunnel pressure from the surrounding rock and optimize the support structure of the tunnel, the loose load applied in the tunnel lining structure in the weak and fragmented stratum was studied. Based on an experiment in the literature about the loose deformation of the surrounding rock in sandy stratum, the semi-ellipsoid loose load model for the weak and fragmented stratum was put forward by using the semi-ellipsoid to fit the loose range of the stratum. The calculation equations of the loose load with the tunnel convergence deformation were developed. The distribution characteristics of the loose load and its changing with the tunnel convergence deformation were analyzed. For quickly calculating the loose load, a numerical calculation procedure by scatter and summation of the loose load was developed by dividing the semi-ellipsoid boundary of the loose zone into many short straight lines. To further improve the engineering practicability of the calculation model, the quadratic polynomial was used to fit the loose load, and the simplified calculation method of the loose load with the tunnel convergence deformation was obtained. Research results show that the proposed semi-ellipsoid model can accurately represent the loose load applied to the tunnel and its dynamically developing process with the tunnel convergence deformation. Due to the presence of frictional resistance on the slide surface, the vertical stress of the stratum in the loose range is less than the initial gravity stress, and the load in the loose range is transferred to the surrounding stratum by the frictional resistance on the slide surface, which obviously manifests a soil arching effect in the loose range. The increase in the tunnel convergence deformation causes an extended loose range of the surrounding stratum of the tunnel and weak constraints on the loose ellipsoid from the surrounding stratum, and the soil arching effect of stratum weakens. The internal friction angle of the stratum and the eccentricity of the ellipsoid have great influences on the calculation results of the loose load, so these two parameters should be determined according to the test of geological conditions. When the semi-ellipse boundary is discretized into three segments, the results of the numerical calculation by scatter and summation can have a good consistency with the analytical solution, and the error is about 3.9%.

     

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