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Back-Calculation Method of Rock Mass Pressure in a Shallow-Buried Super Large-Span Tunnel Using Upper-Bench CD Method

  • Tunnel Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

Rock mass pressure has always been a research hotspot in the field of tunnel engineering, especially in the super large-span tunnel, which is characterized by flat section, large excavation span, and complex stress field. Based on the Letuan Tunnel (a bi-directional tunnel with eight traffic lanes) of Binlai expressway expansion project in Shandong Province, China, this paper focused on the calculation method of rock mass pressure and the evolution law of load release in the construction process of the super large-span tunnel excavated by upper-bench central diaphragm (CD) method. Based on field measured data of Letuan Tunnel, the deformation behavior of primary lining and the distribution state of rock mass pressure during the tunnel construction were analyzed. According to the bearing mode of supporting structure, the mechanical models of different construction stages were established. Then, the rock mass pressures in different construction stages were back-calculated using mechanical models and compared with the measured values, and the evolution law of load release during the tunnel construction was discussed. The study results show that the tunnel deformation and rock mass pressure were significantly affected by the construction process and support form, and the excavation span was the key factor affecting the stability of rock mass. For the shallow-buried super large-span tunnel constructed by upper-bench CD method, the primary support of upper bench was under eccentric pressure. The comparison between the back-calculated value and the field measured value indicated that they were similar, and the average relative error was 17.23%. According to the concept of load release coefficient proposed in this paper, the load release coefficient after the pilot tunnel ahead (Part I) excavation reached 63%, and the load release coefficient after the pilot tunnel behind excavation (Part II) was 37%, which means that the rock mass pressure of Part I is increased about 59% due to the excavation of Part II.

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References

  • Barton N, Lien R, Lunde J (1974) Engineering classification of rock masses for the design of tunnel support. Rock Mechanics 6(4):189–236, DOI: https://doi.org/10.1007/BF01239496

    Article  Google Scholar 

  • Bieniawski ZT (1989) Engineering rock mass classifications. Petroleum 251(3):357–365

    Google Scholar 

  • Bizjak KF, Petkovšek B (2004) Displacement analysis of tunnel support in soft rock around a shallow highway tunnel at Golovec. Engineering Geology 75:89–106, DOI: https://doi.org/10.1016/j.enggeo.2004.05.003

    Article  Google Scholar 

  • Chen JX, Liu WW, Chen LJ, Luo YB, Zhong DC (2020a) Failure mechanisms and modes of tunnels in monoclinic and soft-hard interbedded rocks: A case study. KSCE Journal of Civil Engineering 24(4):1357–1373, DOI: https://doi.org/10.1007/s12205-020-1324-3

    Article  Google Scholar 

  • Chen JX, Luo YB (2019) The stability of structure and its control technology for lager-span loess tunnel. Hazard Control in Tunnelling and Underground Engineering 1(1):93–101 (in Chinese)

    Google Scholar 

  • Chen JX, Luo YB, Li Y, Zhao PY, Wang QS (2020b) The change of rock mass pressure of Lianchengshan tunnel. Environmental Earth Sciences 79(9):192, DOI: https://doi.org/10.1007/s12665-020-8885-9

    Article  Google Scholar 

  • Chen LJ, Zhang YL, Ma ZY, Bai SG (2015) Joint bearing analysis for feet-lock boltand steelarch in weak rock tunnel. Chinese Journal of Rock Mechanics and Engineering 34:129–138, DOI: https://doi.org/10.13722/j.cnki.jrme.2015.01.014 (in Chinese)

    Article  Google Scholar 

  • Fan W, Yu MH, Shi YW, Sun P (2003) The unified solution of the plastic relaxed pressure’s computing of rock mass. Chinese Journal of Earth Sciences and Environment 25(1):33–36 (in Chinese)

    Google Scholar 

  • Fang YG, Sun J (1998) Analysis of visco-elastic stress and deformation of surrounding rocks for shallow tunnel under ground load. Chinese Journal of Rock Mechanics and Engineering 17(3):239–247 (in Chinese)

    Google Scholar 

  • Fang Q, Zhang DL, Wang YY, Li PF, Li QQ (2011) Model test study of failure modes of surrounding rock for circular caverns. Chinese Journal of Rock Mechanics and Engineering 30(3):564–571 (in Chinese)

    Google Scholar 

  • Gong JW, Xia CH, Lei XW (2010) Analysis of field measurement and theoretical calculation on rock pressure in shallow-buried twin tunnels with small spacing. Chinese Journal of Rock Mechanics and Engineering 29(2):4139–4145 (in Chinese)

    Google Scholar 

  • Hoek E, Guevara R (2009) Overcoming squeezing in the Yacambú-Quibor tunnel, Venezuela. Rock Mechanics & Rock Engineering 42(2):389–418, DOI: https://doi.org/10.1007/s00603-009-0175-5

    Article  Google Scholar 

  • Jiang Y, Yoneda H, Tanabashi Y (2001) Theoretical estimation of loosening pressure on tunnels in soft rocks. Tunnelling and Underground Space Technology 16(2):99–105, DOI: https://doi.org/10.1016/S0886-7798(01)00034-7

    Article  Google Scholar 

  • JTG 3370.1–2018 (2018) Specifications for design of highway tunnels. JTG 3370.1–2018, People’s Communications Press, Beijing, China

    Google Scholar 

  • Li PF (2018) Key techniques for the construction of high-speed railway large-section loess tunnels. Engineering 4(2):254–259, DOI: https://doi.org/10.1016/j.eng.2017.07.003

    Article  Google Scholar 

  • Liu WW, Chen JX, Chen LJ, Luo YB, Shi Z, Wu YF (2021a) Deformation evolution and failure mechanism of monoclinic and soft-hard interbedded strata: Study of Muzhailing Tunnel. Journal of Performance of Constructed Facilities 35(5):1–16, DOI: https://doi.org/10.1061/(ASCE)CF.1943-5509.0001605

    Google Scholar 

  • Liu WW, Chen JX, Chen LJ, Luo YB, Shi Z, Wu YF (2020) Nonlinear deformation behaviors and a new approach for the classification and prediction of large deformation in tunnel construction stage: A case study. European Journal of Environmental and Civil Engineering (2):1–29, DOI: https://doi.org/10.1080/19648189.2020.1744482

  • Liu WW, Chen JX, Luo YB, Chen LJ, Shi Z, Wu YF (2021b) Deformation behaviors and mechanical mechanisms of double primary linings for large-span tunnels in squeezing rock: A case study. Rock Mechanics and Rock Engineering 2021(1):1–20, DOI: https://doi.org/10.1007/s00603-021-02402-5

    Google Scholar 

  • Luo YB, Chen JX (2012) Calculation method of horizontal surrounding rock pressure for tunnel. Journal of Traffic and Transportation Engineering 12(2):10–17, DOI: https://doi.org/10.19818/j.cnki.1671-1637.2012.02.002 (in Chinese)

    Google Scholar 

  • Luo YB, Chen JX, Chen Y, Diao PS, Qiao X (2018) Longitudinal deformation profile of a tunnel in weak rock mass by using the back analysis method. Tunnelling & Underground Space Technology 71:478–493, DOI: https://doi.org/10.1016/j.tust.2017.10.003

    Article  Google Scholar 

  • Luo YB, Chen JX, Shi Z, Zhang SQ, Li Y (2020a) Mechanical and deformation characteristics and optimization of support parameters for superlarge-span tunnel: A case study from Laohushan Tunnel. Advances in Civil Engineering 2020(1):1–17, DOI: https://doi.org/10.1155/2020/8882019

    Google Scholar 

  • Luo YB, Shi Z, Chen JX, Liu WW, Zhu HY (2020b) Study of deformation behaviors and mechanical properties of central diaphragm in a large-span loess tunnel by the upper bench CD method. Advances in Civil Engineering 2020(3):1–19, DOI: https://doi.org/10.1155/2020/8887040

    Google Scholar 

  • Ma NJ, Zhang YD (1996) A new solution to deformation pressure of rock mass in circular roadway. Chinese Journal of Rock Mechanics and Engineering (1):84–084

  • Meguid MA, Saada O, Nunes MA, Mattar J (2008) Physical modeling of tunnels in soft ground: A review. Tunnelling & Underground Space Technology Incorporating Trenchless Technology Research 23(2):185–198, DOI: https://doi.org/10.1016/j.tust.2007.02.003

    Article  Google Scholar 

  • Sakurai S, Takeuchi K (1983) Back analysis of measured displacements of tunnels. Rock Mechanics & Rock Engineering 16(3):173–180, DOI: https://doi.org/10.1007/BF01033278

    Article  Google Scholar 

  • Singh B, Goel RK, Jethwa JL, Dube AK (1997) Support pressure assessment in arched underground openings through poor rock masses. Engineering Geology 48(1–2):59–81, DOI: https://doi.org/10.1016/S0013-7952(97)81914-X

    Article  Google Scholar 

  • Singh B, Jethwa JL, Dube AK, Singh B (1992) Correlation between observed support pressure and rock mass quality. Tunnelling & Underground Space Technology 7(1):59–74, DOI: https://doi.org/10.1016/0886-7798(92)90114-W

    Article  Google Scholar 

  • TB 10003-2016 (2016) Code for design of railway tunnel. TB 10003-2016, China Railway Publishing House, Beijing, China

    Google Scholar 

  • Terzaghi KT (1943) Theoretical soil mechanics. John Wiley & Sons, Inc., Hoboken, NJ, USA

    Book  Google Scholar 

  • Wang MN, Guo J, Luo LS, Yang JM, Yu Y, Tan ZS (2009) Calculation method of rock mass pressure for large section and deep buried loess tunnel of expressway. China Railway Science 30(5):53–58 (in Chinese)

    Google Scholar 

  • Wang CB, Zhu HH (2010) Experimental study of influence mechanism of buried depth on surrounding rock failure of tunnel constructed in soft rock. Chinese Journal of Rock Mechanics and Engineering 29(12):2442–2448 (in Chinese)

    Google Scholar 

  • Xie JX (1964) Stratum pressure of shallow tunnel. China Civil Engineering Journal (6):60–72 (in Chinese)

  • Xu LS (2009) Mechanical monitoring and analysis on composite lining structure of highway tunnel with large cross section. Chinese Journal of Chongqing Jiaotong University (Natural Science) 28(3):528–530 (in Chinese)

    Google Scholar 

  • You ZL, Zhang MY, Liu F, Ma YW (2021) Numerical investigation of the tensile strength of loess using discrete element method. Engineering Fracture Mechanics 247(6):107610, DOI: https://doi.org/10.1016/j.engfracmech.2021.107610

    Article  Google Scholar 

  • Zhang JW, Cao XY, Liu ZH, Meng ZH, Chen T, Qian J (2017) Calculation method of surrounding rock pressure in shallow tunnel. Chinese Journal of Underground Space and Engineering 13(S1):28–33+134 (in Chinese)

    Google Scholar 

  • Zu ZX (1984) Tunnel design method using field measurement data. ISRM symposium on design and performance of underground excavations, September 3–6, Cambridge, UK, 221–229

Download references

Acknowledgments

The present work is funded by the National Key R&D Program of China (Grant no. 2018YFB1600100), the National Natural Science Fund Project of China (Grant nos. 51978065 and 51678063), the Young scholars of “Yangtze River scholars Award Program” (Grant no. Q2018209), the Basic Research Program of Natural Science in Shaanxi Province (Grant no. 2020JC-28). This support is gratefully acknowledged. The authors of this article are so grateful to the editor and anonymous reviewers for their valuable comments and suggestions on this paper.

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Correspondence to Yunfei Wu.

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Luo, Y., Wu, Y., Chen, J. et al. Back-Calculation Method of Rock Mass Pressure in a Shallow-Buried Super Large-Span Tunnel Using Upper-Bench CD Method. KSCE J Civ Eng 26, 433–447 (2022). https://doi.org/10.1007/s12205-021-0312-6

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