DOI QR코드

DOI QR Code

Morphology and distribution characteristics of tunnel bearing arch in horizontal layered surrounding rock

  • Pengtao Chen (School of Civil Engineering, Southwest Jiaotong University) ;
  • Junru Zhang (School of Civil Engineering, Southwest Jiaotong University) ;
  • Jianchi Ma (School of Civil Engineering, Southwest Jiaotong University) ;
  • Kaimeng Ma (School of Civil Engineering, Southwest Jiaotong University) ;
  • Yi Dai (School of Civil Engineering, Southwest Jiaotong University) ;
  • Tong Pan (School of Civil Engineering, Southwest Jiaotong University) ;
  • Zhiyi Jin (School of Civil Engineering, Southwest Jiaotong University)
  • Received : 2023.10.07
  • Accepted : 2025.05.08
  • Published : 2025.05.25

Abstract

Tunnel excavation induces stress redistribution in the surrounding rock, forming a bearing arch to sustain ground stress. As a typical and special type of rock formation, the bearing arch morphology in (approximately) horizontally layered surrounding rock remains unclear due to the influence of structural planes. Additionally, the effects of factors such as ground stress, layer thickness, and interlayer contact conditions on the distribution of the bearing arch are not well understood. To address this issue, non-contact strain acquisition experiments combined with numerical calculations were used to determine the morphology of the bearing arch, followed by sensitivity analysis of the parameters. The results indicate that non-uniform rock masses under unfavorable stress conditions may fail at stress levels far below the ultimate strength of the rock blocks. For tunnels excavated in horizontally layered surrounding rock, vertical loads easily cause bending-induced tensile stress in the roof and floor, while increasing initial horizontal stress improves the bearing condition. The bearing arch in horizontally layered surrounding rock exhibits two extreme states after excavation: "butterfly-shaped" and "rounded rectangular." Under extreme conditions, "bearing zone discontinuity" may occur in the vertical direction. Overall, the lateral pressure coefficient and interlayer bonding strength significantly influence the bearing arch, while the layer thickness has a relatively smaller effect. The lateral pressure coefficient mainly affects the arch's morphology, while interlayer bonding strength and layer thickness primarily influence the stress redistribution during the post-excavation stress equilibrium process. In practical tunnel engineering, engineering measures should aim to enhance the overall integrity of the surrounding rock to fully utilize the bearing arch effect.

Keywords

Acknowledgement

This research was supported by the National Natural Science Foundation of China (grand No. 52478416), for which the authors are grateful. The authors also sincerely appreciate the profound and valuable comments provided by the anonymous reviewers of this paper.

References

  1. Brady, B. and Brown, E. (1985), Rock mechanics for underground mining. George Allen & Unwin (Publishers) Ltd, London.
  2. Chen, Z., He, C., Wang, B., Yuan, Q., Jiang, C., Yuan, S. and Wang, X. (2024), "experimental investigation on failure mechanism and rockburst process of tunnels under different span-ratios and existing structural planes", Rock Mech. Rock Eng., 1-23. https://doi.org/10.1007/s00603-024-03767-z.
  3. Chen, Z., He, C., Wang, J. and Ma, C. (2021), "Time-dependent squeezing deformation mechanism of tunnels in layered soft-rock stratum under high geo-stress", J. Mountain Sci., 18(5), 1371-1390. https://doi.org/10.1007/s11629-020-6356-0
  4. Do, N.A., Dias, D., Tran, T.T., Dao, V.C., Dao, V.D. and Nguyen, P.N. (2019), "Behavior of noncircular tunnels excavated in stratified rock masses–Case of underground coal mines", J. Rock Mech. Geotech. Eng., 11(1), 99-110. https://doi.org/10.1016/j.jrmge.2018.05.005.
  5. Guo, Z., Fan, J., Wang, F., Zhou, H. and Li, W. (2021), "Geomechanical model experiment study on deformation and failure mechanism of the mountain tunnel in layered jointed rock mass", Adv. Civil Eng., 1-19. https://doi.org/10.1155/2021/6645124
  6. Hoek, E. and Brown, E. (1980), Underground excavations in rock. The Institute of Mining and Metallurgy, London.
  7. Hu, S., Tan, Y., Zhou, H., Guo, W., Hu, D., Meng, F. and Liu, Z. (2017), "Impact of bedding planes on mechanical properties of sandstone", Rock Mech. Rock Eng., 50, 2243-2251. https://doi.org/10.1007/s00603-017-1239-6
  8. Huang, X., Ruan, H., Shi, C. and Kong, Y. (2021), "Numerical simulation of stress arching effect in horizontally layered jointed rock mass", Symmetry, 13(7), 1138. https://doi.org/10.3390/sym13071138.
  9. Jin, C., Shao, A., Liu, D., Han, T., Fan, F. and Li, S. (2018), "Failure mechanism of highly stressed rock mass during unloading based on the stress arch theory", Int. J. Geomech., 18(11), 04018146. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001280.
  10. Khezri, N., Mohamad, H. and Fatahi, B. (2016), "Stability assessment of tunnel face in a layered soil using upper bound theorem of limit analysis", Geomech. Eng., 11(4), 471-492. https://doi.org/10.12989/gae.2016.11.4.471.
  11. Lei, M., Peng, L. and Shi, C. (2015), "Model test to investigate the failure mechanisms and lining stress characteristics of shallow buried tunnels under unsymmetrical loading", Tunn. Undergr. Sp. Tech., 46, 64-75. https://doi.org/10.1016/j.tust.2014.11.003.
  12. Li, P., Chen, Y., Huang, J., Wang, X., Liu, J. and Wu, J. (2023), "Design principles of prestressed anchors for tunnels considering bearing arch effect", Comput. Geotech., 156, 105307. https://doi.org/10.1016/j.compgeo.2023.105307.
  13. Lin, X., Chen, R., Wu, H.N., Meng, F.Y. and Su, D. (2022), "Calculation of earth pressure distribution on the deep circular tunnel considering stress-transfer mechanisms in different zones", Tunn. Undergr. Sp. Tech., 119, 104211. https://doi.org/10.1016/j.tust.2021.104211.
  14. Ma, K., Zhang, J., Dai, Y., Kong, C., Zhou, P. and Xu, Q. (2022), "The calculation for ultimate surrounding earth pressure on deep-buried tunnels in aeolian sand stratum to prevent surface collapse", Bull. Eng. Geol. Environ., 81(9), 390. https://doi.org/10.1007/s10064-022-02894-7.
  15. Ma, K., Zhang, J., Zhang, J., Dai, Y. and Zhou, P. (2022), "Floor heave failure mechanism of large-section tunnels in sandstone with shale stratum after construction: A case study", Eng. Fail. Anal., 140, 106497. https://doi.org/10.1016/j.engfailanal.2022.106497.
  16. Ma, K., Zhang, J., Zhang, J., Feng, J., Zhou, P. and Kong, C. (2024), "Determination of the rock mass bearing mechanism following excavation of circular tunnels", Rock Mech. Rock Eng., 1-18. https://doi.org/10.1007/s00603-024-03840-7.
  17. Małkowski, P. (2015), "The impact of the physical model selection and rock mass stratification on the results of numerical calculations of the state of rock mass deformation around the roadways", Tunn. Undergr. Sp. Tech., 50, 365-375. https://doi.org/10.1016/j.tust.2015.08.004.
  18. Man, J., Zhou, M., Zhang, D., Huang, H. and Chen, J. (2022), "Face stability analysis of circular tunnels in layered rock masses using the upper bound theorem", J. Rock Mech. Geotech. Eng., 14(6), 1836-1848. https://doi.org/10.1016/j.jrmge.2021.12.023.
  19. Mao, H. and Yang, C. (2005), "Study on effects of discontinuities on mechanical characters of slate", Chinese J. Rock Mech. Eng., 24(20), 3651-3656. (in Chinese).
  20. Moussaei, N., Sharifzadeh, M., Sahriar, K. and Hossein Khosravi, M. (2019), "A new classification of failure mechanisms at tunnels in stratified rock masses through physical and numerical modeling", Tunn. Undergr. Sp. Tech., 91, 103017. https://doi.org/10.1016/j.tust.2019.103017.
  21. Pardo, G.S. and Sáez, E. (2014), "Experimental and numerical study of arching soil effect in coarse sand", Comput. Geotech., 57, 75-84. https://doi.org/10.1016/j.compgeo.2014.01.005.
  22. Qin, C.B., Yang, X.L., Pan, Q.J., Sun, Z.B., Wang, L.L. and Miao, T. (2015), "Upper bound analysis of progressive failure mechanism of tunnel roofs in partly weathered stratified Hoek–Brown rock masses", Int. J. Rock Mech. Min. Sci., 74, 157-162. https://doi.org/10.1016/j.ijrmms.2014.10.002.
  23. Rodriguez, R. and Perez, F. (2021), "Carbon foot print evaluation in tunneling construction using conventional methods", Tunn. Undergr. Sp. Tech., 108, 103704. https://doi.org/10.1016/j.tust.2020.103704.
  24. Seedsman, R. (2013), "Practical strength criterion for coal mine roof support design in laminated soft rocks", Min. Technol., 122(4), 243-249. https://doi.org/10.1179/1743286313Y.0000000044
  25. Seedsman, R. (2021), "Assessing the conditions at the boundary of excavations in bedded or foliated rocks", Int. J. Rock Mech. Min. Sci., 148, 104983. https://doi.org/10.1016/j.ijrmms.2021.104983.
  26. Tan, Y., Liu, Y. and Li, Z. (2014), "The proper width of the intermittent trough for tunnel enlarging", Geomech. Eng., 6(5), 455-467. https://doi.org/10.12989/gae.2014.6.5.455.
  27. Wang, F., Chen, T., Ma, B. and Chen, D. (2022), "Formation mechanism of stress arch during longwall mining based on key strata theory", Energ. Explor. Exploit., 40(2), 816-833. https://doi.org/10.1177/01445987211042701.
  28. Wittke, W. (1990), Rock Mechanics. Springer-Verlag, Berlin.
  29. Yang, X. and Li, K. (2016), "Roof collapse of shallow tunnel in layered Hoek-Brown rock media", Geomech. Eng., 11(6), 867-877. https://doi.org/10.12989/gae.2016.11.6.867.
  30. Yang, X.L. and Zhang, R. (2017), "Collapse analysis of shallow tunnel subjected to seepage in layered soils considering joined effects of settlement and dilation", Geomech. Eng., 13(2), 217-235. https://doi.org/10.12989/gae.2017.13.2.217.
  31. Yanli, Q., Shaoquan, W., Mingzhou, B., Hai, S., Pengxiang, L., Hao, Z. and Bohu, H. (2021), "Evaluation and deformation control study on the bias pressure of layered rock tunnels", Math. Probl. Eng., 9937678. https://doi.org/10.1155/2021/9937678.
  32. Yuan, Y., Han, C., Zhang, N., Feng, X., Wang, P., Song, K. and Wei, M. (2022), "Zonal disintegration characteristics of roadway roof under strong mining conditions and mechanism of thick anchored and trans-boundary supporting", Rock Mech. Rock Eng., 1-19. https://doi.org/10.1007/s00603-021-02653-2.
  33. Zhao, Z., Jing, H., Shi, X., Yang, L., Yin, Q. and Gao, Y. (2021), "Study on bearing characteristic of rock mass with different structures: Physical modeling", Geomech. Eng., 25(3), 179-194. https://doi.org/10.12989/gae.2021.25.3.179.
  34. Zhu, Z.,Fang, Z., Xu, F., Han, Z., Guo, X. and Ma, C. (2022), "Model test study on the rock mass deformation law of a soft rock tunnel under different ground stresses", Front. Earth Sci., 10, 962445. https://doi.org/10.3389/feart.2022.962445.