Analytical study on plastic loosening zone of weak surrounding rocks tunnel in high cold areas

Abstract

The analysis of plastic loosening zone of tunnels with cold condition, high in situ stress, and weak stratum is the key scientific problem of tunnel construction in cold areas. Based on the unified strength theory and considering the coupling effect of high in situ stress and low-temperature field, the analytical model of the plastic loosening zone of tunnel surrounding rocks was proposed, and the influence laws of physical parameters (initial ground stress, freezing temperature, excavation radius, and intermediate principal stress) was explored. The results illustrate that: (1) with the coupling of low temperature and stress fields, the in-situ stress has a more significant effect on the radius of the plastic loosening zone of the tunnel surrounding rocks, showing a nonlinear correlation. When the in situ stress is small, the influence of the temperature field on the radius of the plastic loosening zone is more obvious. (2) The radius of the plastic loosening zone of the tunnel surrounding rocks increases synchronously with the excavation radius and gradually decreases with the increase of the intermediate principal stress. (3) The greater the temperature difference in the low-temperature field, the tunnel stability has a more significant response to the intermediate principal stress and is positively correlated with the coefficient of the intermediate principal stress. (4) In the actual project, the proposed model can well describe the mechanical behavior and deformation characteristics of tunnel surrounding rocks in low-temperature environment, showing applicability. The research results are expected to provide a theoretical basis for the study of tunnel stability in cold areas.

Keywords

cryogenic field / high in situ stress / plastic loosening zone / unified strength theory

References

[1] Cao, S. P., Xia, C. C., Zhou, S. W., & Kou, J. S. (2024). Analytical solution for frost heave force of cold region tunnel caused by non-uniform frost heave of surrounding rock considering freezing temperature gradient. Journal of Tongji University (Natural Science), 52(03), 360-369.

[2] Cao, W. H., Zhang, X. M., Zhang, Y. E., Liu, B., Wang, Y. S., Zhao, Y., Yin, X. L., & Han, X. (2024). Carbon sink for soil and water conservation and the measurement. China Water and Soil Conservation Science (both in English and Chinese), 22(01), 1-11.

[3] Chang, M. Y., Shen, Y. S., Zhang, X., Wu, Z. Q., Wang, Y. Y., & Huang, H. F. (2024). Analytical solution for longitudinal response of tunnels with consideration of surrounding rock-concrete tangential interaction. Chinese Journal of Rock Mechanics and Engineering, 43(08), 2013-2026.

[4] Chen, G., & Yu, H. T. (2024). Analytical solution for seismic response of composite tunnel liners with arbitrary section shape and embedded with an isolation layer. Tunnelling and Underground Space Technology incorporating Trenchless Technology Research, 150, 105821.

[5] Chen, Z., He, C., Xu, G., Ma, G., & Yang, W. (2019). Supporting mechanism and mechanical behavior of a double primary support method for tunnels in broken phyllite under high geo-stress: A case study. Bulletin of Engineering Geology and the Environment, 78(7), 5253-5267.

[6] Dou, B. J., Feng, G. H., Mao, X. Y., Zheng, M. W., Ding, S. L., & Xu, C. J. (2024). Analytical solution of stress and deformation of underlying tunnel caused by adjacent surcharge. Bulletin of Science and Technology, 40(04), 90-95.

[7] Duan, J., Xia, C., Zhou, S., & Cao, S. (2023). Analytical solution for the temperature field of cold region tunnels that considers thermal resistance. Cold Regions Science and Technology, 215, 103984.

[8] Feng, Q., Fu, S., Wang, C., Liu, W., Wang, Y., & Qiao, W. (2019). Analytical elasto-plastic solution for frost force of cold-region tunnels considering anisotropic frost heave in the surrounding rock. KSCE Journal of Civil Engineering, 23(9), 3831-3842.

[9] Gao, Y. T., Liang, P., & Zhou, Y. (2020). Strength criterion effect on elastic-plastic solution of deep tunnels considering strain softening characteristics. Journal of Central South University (Science and Technology), 51(09), 2525-2537.

[10] Hong, Z. Q., Fu, S. R., Hu, X. D., & Wang, B. S. (2024). Analytical solution for temperature field of artificial ground freezing induced by adiabatic boundary. Journal of Tongji University (Natural Science), 52(05), 749-758.

[11] Huang, F., & Yang, X. L. (2010). Analytical solution of circular openings subjected to seepage in Hoek-Brown media. Rock and Soil Mechanics, 31(05), 1627-1632.

[12] Huang, J. H., Xia, C. C., Han, C. L., & Huang, M. (2015). Analytical solution of frost heave force acting on cold-region tunnel liner considering anisotropy frost heave of surrounding rock. Chinese Journal of Rock Mechanics and Engineering, 4(S2), 3766-3774.

[13] Huang, S. B., Liu, Q. S., Liu, Y. Z., & Cheng, A. P. (2018). Frost heaving pressure and characteristics of frost cracking in elliptical cavity (crack) of rock mass under coupled thermal-mechanical condition at low temperature. Chinese Journal of Geotechnical Engineering, 40(03), 459-467.

[14] Kolawole, O., Assaad, R. H., Adams, M. P., Ngoma, M. C., Anya, A., & Assaf, G. (2023). Coupled experimental assessment and machine learning prediction of mechanical integrity of MICP and cement paste as underground plugging materials. Bio-Geotechnics, 1(2), 100020.

[15] Li, G. Y. (2023). Thoroughly implement the spirit of the 20th National Congress of the Communist Party of China and solidly promote the high-quality development of water conservancy in the new stage-speech at the National Water Conservancy Work Conference in 2023. Water Resources Development Research, 23(1), 1-11.

[16] Li, G. Y. (2024). Improved water security for China’s efforts to build itself into a stronger country and rejuvenate the Chinese nation on all fronts by pursuing Chinese modernization-speech at the 2024 National Water Conservancy Work Conference. Water Resources Development Research, 24(1), 1-10.

[17] Li, T., Zheng, K., Peng, H., Zhang, Z., & Liu, B. (2024). Analytical solution for pipeline settlement law using shield tunnel excavation underneath based on Vlasov-Timoshenko model considering lateral soil action. International Journal of Geomechanics, 24(7), 8876.

[18] Li, Y. H., Tang, X. J., Yang, S., & Chen, J. W. (2019). Evolution of the broken rock zone in the mixed ground tunnel based on the DSCM. Tunnelling and Underground Space Technology incorporating Trenchless Technology Research, 84, 248-258.

[19] Liang, Y., Zhou, F., & Qu, Y. (2024). Semi-analytical solution for seismic response of circular lined tunnel in alpine valley composite site. Computers and Geotechnics, 172, 106475.

[20] Liu, Q., & Wang, H. N. (2024). Analytical model for tunnel stability and support pressure prediction of viscoelastic-plastic rock masses under the influence of seepage. Journal of Tsinghua University (Science and Technology), 2024, 1-9.

[21] Liu, W., Su, X., Zhang, G., & Chen, D. (2023). Projection of future dry-wet evolution in Northwest China and its uncertainty attribution analysis. River, 2(1), 65-78.

[22] Lv, Z., Yuan, S., & Lin, H. (2023). Analytical stress solution for cold region tunnels with unequal ground stress and support delay under different frost heave conditions of surrounding rock. Cold Regions Science and Technology, 206, 103742.

[23] Lyu, Z., Xia, C., & Liu, W. (2020). Analytical solution of frost heaving force and stress distribution in cold region tunnels under non-axisymmetric stress and transversely isotropic frost heave of surrounding rock. Cold Regions Science and Technology, 178, 103117.

[24] Su, S. L., Gao, H. H., & Zhou, K. L. (2020). Calculation method of roadway surrounding rock loose circle based on unified strength theory. Science Technology and Engineering, 20(27), 11045-11050.

[25] Tao, Z. G., Luo, S. L., Li, M. N., Ren, S. L., & He, M. C. (2020). Optimization of large deformation control parameters of layered slate tunnels based on numerical simulation and field test. Chinese Journal of Rock Mechanics and Engineering, 39(03), 491-506.

[26] Wang, J., Xu, M., Zhang, G., Zhang, T., Wang, D., Zang, H., & Hou, X. (2024). Progress and future of China’s aquatic ecological environment protection. River, 3(2), 119-128.

[27] Wang, Q., Zhou, Y., Ren, S., Wang, P., & Wu, Z. (2024). Analytical study on heat transfer of a tunnel lining-rock-insulation structure in cold regions. Journal of Cold Regions Engineering, 38(1), 1-9.

[28] Wang, S., Li, D. Q., & Du, W. (2022). Recent advances in the investigation of a slow-moving landslide in the Three Gorges Reservoir area. River, 1(1), 91-103.

[29] Wang, Y. Z., Konstantinou, C., Tang, S. K., & Chen, H. Y. (2023). Applications of microbial-induced carbonate precipitation: A state-of-the-art review. Bio-Geotechnics, 1(1), 100008.

[30] Wu, S. Z., Zeng, M. T., Li, J. Y., & Zhang, L. Z. (2023). Properties of plastic loose circle of surrounding rocks under thermal-force coupling effect. Tunnel Construction, 43(06), 988-994.

[31] Xia, C., Lv, Z., Li, Q., Huang, J., & Bai, X. (2018). Transversely isotropic frost heave of saturated rock under unidirectional freezing condition and induced frost heaving force in cold region tunnels. Cold Regions Science and Technology, 152, 48-58.

[32] Xia, C. C., Lv, Z. T., & Wang, Y. C. (2020). Advance and review on frost heaving force calculation methods in cold region tunnels. China Journal of Highway and Transport, 33(05), 35-43.

[33] Xia, C. C., Xu, C., Liu, Y. P., & Han, C. L. (2018). Elastoplastic solution of deep buried tunnel considering strain-softening characteristics based on GZZ strength criterion. Chinese Journal of Rock Mechanics and Engineering, 37(11), 2468-2477.

[34] Yang, Y., Yin, H., Li, M., Liu, W., Li, K., & Yu, W. (2023). Effect of water depth and waterway obstructions on the divergence and confluence areas of Dongting Lake and the Yangtze River after the operation of the Three Gorges Project. River, 2(1), 88-108.

[35] Yang, Z., Ma, X., Xu, L., Hou, S., Ren, D., & Feng, Q. (2024). A new analytical solution on the frost heaving force of circular tunnel in cold regions. Rock Mechanics and Rock Engineering, 57(5), 3483-3508.

[36] Yang, Z., Xu, J., Feng, Q., Liu, W., He, P., & Fu, S. (2022). Elastoplastic analytical solution for the stress and deformation of the surrounding rock in cold region tunnels considering the influence of the temperature field. International Journal of Geomechanics, 22(8).

[37] Yu, M., Lin, C. M., Chang, F. Q., & Yin, R. P. (2018). Research on amplification effect of blasting vibration in rock deep foundation pit. Blasting, 34(4), 27-32.

[38] Yu, Y., Ling, X., Tang, L., Han, X., Geng, L., & Wei, S. (2021). Analytical solution for the soil-lining interaction in cold region deep tunnel considering the delayed installation of the lining. Cold Regions Science and Technology, 189, 103329.

[39] Zeng, G. S., Wang, H. N., Song, F., & Rodriguez, A. (2024). Time-dependent analytical solutions for tunnels excavated in anisotropic rheological rock masses. Tunnelling and Underground Space Technology incorporating Trenchless Technology Research, 152.

[40] Zhang, C. G., Gao, B. X., Li, T. B., & Shan, Y. P. (2021). An elastic-plastic solution for frost heaving force of cold region tunnels considering transversely isotropic frost heave and displacement release. Rock and Soil Mechanics, 42(11), 2967-2976.

[41] Zhang, C. G., Gao, B. X., Shan, Y. P., & Li, Z. H. (2020). Unified plastic solution for stress and displacement of tunnels in cold regions considering transversely isotropic frost heave. Chinese Journal of Geotechnical Engineering, 42(10), 1825-1831.

[42] Zhang, L. J., Mu, Y. H., Tian, Y., Wang, Y. L., Zhu, X. M., Zhang, K., Zheng, B., & Li, L. (2024). Analytical solution and field observation on temperature field of cold regions tunnel with consideration of diurnal variation in air temperature. Journal of Railway Science and Engineering, 21(6), 2406-2416.

[43] Zhang, Z., Wu, X., Xiao, E., He, N., Cheng, K., Zhang, G., Zhou, X., Zhao, C., Wang, H., Du, H., & Jiang, X. (2023). Research and practice of key technologies for landslide dam development and utilization-A case in Hongshiyan landslide Dam Water Conservancy Project. River, 2(3), 251-262.

[44] Zhao, X., Yang, X., Zhang, H., Lai, H., & Wang, X. (2020). An analytical solution for frost heave force by the multifactor of coupled heat and moisture transfer in cold-region tunnels. Cold Regions Science and Technology, 175, 103077.

[45] Zhao, Y., Zhang, J., Li, L., Hu, T., & Zhao, Y. (2023). Analytical solution for the temperature field of an elliptical tunnel in cold regions. Cold Regions Science and Technology, 208, 103793.

[46] Zhao, Y. M., & Dai, S. (2023). Challenges of rock drilling and opportunities from bio-boring. Bio-Geotechnics, 1(1), 100009.

[47] Zhu, Y., Li, Y., Hao, Z., Luo, L., Luo, J., & Wang, L. (2021). An analytical solution for the frost heaving force and displacement of a noncircular tunnel. Computers and Geotechnics, 133, 104022.

[48] Zuo Q. T., Wang Z. Y., Ma J. X. Hot spots and development prospects of modern water governance research in China. Water Resources Development Research, 2024, 24(6), 13-19.

[49] Zhu, J. F., Yin, Q., Zhang, J. M., & Jing, H. W. (2022). Deformation evolution and asymmetric support of deep-buried surrounding rock mass with a gently inclined weak interlayer. Journal of Mining And Strata Control Engineering, 4(05), 47-61.

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2024 The Author(s). River published by Wiley-VCH GmbH on behalf of China Institute of Water Resources and Hydropower Research (IWHR).