Abstract
To reveal the nonlinear deformation characteristics and failure mechanisms of surrounding rocks of horseshoe-shaped tunnel affected by varying principal stress directions, physical experiments are carried out based on the similarity theory and control variable method. Simultaneously, on the basis of the statistical strength theory and meso-damage mechanics, a series of 2D numerical models which are able to consider the rock heterogeneity are established to further investigate the mechanical mechanism of damage evolution of surrounding rocks. Seven different kinds of horseshoe-shaped tunnel models are tested, and the typical failure modes are analyzed according to the experimental data and numerical simulations. The results show that when the lateral pressure coefficient is small, fractures mainly develop towards the remote maximum principal stress direction; when the pressure difference between the vertical and horizontal directions is small, tunnel surrounding rocks damage seriously; the initial damage of surrounding rocks basically occurs at the bottom floor corners and arch shoulders; the process of stress buildup, shadow, and transfer is the fundamental mechanical process for the formation of mesoscopic damage and macroscopic failure. Overall, these achievements can provide valuable insights into the nonlinear failure mechanisms of horseshoe-shaped tunnel and will contribute to tunnel support design and stability evaluation in geotechnical engineering.
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All data, models, and code that support the findings of this study are available from the corresponding author upon reasonable request.
References
Blair SC, Cook NGW (1998) Analysis of compressive fracture in rock statistical techniques: part I: a non-linear rule-based model. Int J Rock Mech Min Sci 35(7):837–848
Charpentier D, Tessier D, Cathelineau M (2003) Shale microstructure evolution due to tunnel excavation after 100 years and impact of tectonic paleo-fracturing. Case of Tournemire, France. Eng Geol 70(1/2):55–69
Chinaia B, Vervuurt A, Van Mier JGM (1997) Lattice model evaluation of progress failure in disordered particle composites. Eng Fract Mech 57(2/3):301–318
Dhawan KR, Singh DN, Gupta ID (2002) 2D and 3D finite element analysis of underground openings in an inhomogeneous rock mass. Int J Rock Mech Min Sci 39(2):217–227
Fakhimi A, Carvalho F, Ishida T, Labuz JF (2002) Simulation of failure around a circular opening in rock. Int J Rock Mech Min Sci 39(4):507–515
Feng XH, Gong B, Tang CA, Zhao T (2022) Study on the non-linear deformation and failure characteristics of EPS concrete based on CT-scanned structure modelling and cloud computing. Eng Fract Mech 261:108214
Gao XC, Gu DM, Huang D, Zhang WG, Zheng Y (2020) Development of a DEM-based method for modeling the water-induced failure process of rock from laboratory to engineering-scale. Int J Geomech 20(7):04020080
Gay NC (1976) Fracture growth around openings in large blocks of rock subjected to uniaxial and biaxial compression. Int J Rock Mech Min Sci 13(8):231–243
Gong B, Wang SY, Sloan SW, Sheng DC, Tang CA (2018) Modelling coastal cliff recession based on the GIM-DDD method. Rock Mech Rock Eng 51(4):1077–1095
Gong B, Tang CA, Wang SY, Bai HM, Li YC (2019) Simulation of the nonlinear mechanical behaviors of jointed rock masses based on the improved discontinuous deformation and displacement method. Int. J. Rock Mech. Min. Sci 122:104076
Hoek, E. 1964. “Rock fracture around mining excavations.” In: Proceeding of the 4th International Conference on Strata control and Rock Mechanics. Columbia University, New York, USA.
Hoek, E. 1965. “Rock fracture under static stress conditions.” CSIR report MEG 383. National Mechanical Engineering Research Institute, Council for Scientific and Industrial Research, Pretoria, South Africa.
Huang GH, Xu YZ, Yi XW, Xia M (2020) An efficient disk-based discontinuous deformation analysis model for simulating large-scale problems. Int J Geomech 20(7):04020103
Jure K, Janko L (2014) Effect of relative orientation of anisotropy planes to tunnel axis on the magnitude of tunneling displacements. Int J Rock Mech Min Sci 71:235–248
Lajtai EZ (1971) A theoretical and experimental evaluation of the Griffith theory of brittle fracture. Tectonophysics 11(2):129–156
Lajtai EZ, Lajtai VN (1975) The collapse of cavities. Int J Rock Mech Min Sci Geomech Abstr 12(4):81–86
Li G, Tang CA (2015) A statistical meso-damage mechanical method for modeling trans-scale progressive failure process of rock. Int J Rock Mech Min Sci 74:133–150
Liang ZZ, Tang CA, Li HX, Zhang YB (2004) Numerical simulation of 3-D failure process in heterogeneous rocks. Int J Rock Mech Min Sci 41(s1):323–328
Liu F, Tang CA, Ma TH, Tang LX (2019) Characterizing rockbursts along a structural plane in a tunnel of the Hanjiang-to-Weihe River Diversion Project by microseismic monitoring. Rock Mech Rock Eng 52(6):1835–1856
Mazars J, Pijaudier-Cabot G (1987) Continuum damage theory-application to concrete. J Eng Mech 115(2):345–365
Meglis IL, Chow TM, Young RP (1995) Progressive microcrack development in test on Lac du Bonnet: I. Emission source location and velocity measurements. Int J Rock Mech Min Sci Geomech Abstr 32(8):741–750
Ng CWW, Fong KY, Liu HL (2018) The effects of existing horseshoe-shaped tunnel sizes on circular crossing tunnel interactions: three-dimensional numerical analyses. Tunn Undergr Space Technol 77:68–79
Potyondy, D.O., Cundall, P.A., Lee, C.A. 1996. “Modeling rock using bonded assemblies of circular particles.” In: Proceedings of the 1996 2nd North American Rock Mechanics Symposium, Quebec, Canada.
Shao JF, Kondo D, Ikogou S (1994) Stress-induced microcracking in rock and its influence on well bore stability analysis. Int J Rock Mech Min Sci Geomech Abstr 31(2):149–155
Shi C, Yang B, Zhang YP, Yang JX (2020) Application of discrete-element numerical simulation for calculating the stability of dangerous rock mass: a case study. Int J Geomech 20(12):04020231
Shi, G.H. 1988. “Discontinuous deformation analysis-a new numerical model for the statics and dynamics of block systems.” PhD Thesis. University of California, Berkeley, USA.
Shi GH, Goodman RE (1985) Two dimensional discontinuous deformation analyses. Int J Numer Anal Meth Geomech 9(6):541–556
Simona R (2014) Analytical and numerical approach for tunnel face advance in a viscoplastic rock mass. Int J Rock Mech Min Sci 70:123–132
Suchowerska AM, Merifield RS, Carter JP, Clausen J (2012) Prediction of underground cavity roof collapse using the Hoek-Brown failure criterion. Comput Geotech 44:93–103
Tang CA (1998) A new approach to numerical method of modelling geological processes and rock engineering problems. Eng Geol 49(3–4):207–214
Tang CA, Tham LG, Lee PKK, Yang TH, Li LC (2002) Coupled analysis of flow, stress and damage (FSD) in rock failure. Int J Rock Mech Min Sci 39(4):477–489
Tang SB, Wang JX, Chen PZ (2020) Theoretical and numerical studies of cryogenic fracturing induced by thermal shock for reservoir stimulation. Int. J. Rock Mech. Min. Sci 125:104160
Tokar G (1990) Experimental analysis of the elasto-plastic zone surrounding a borehole in a specimen of rock-like material under multiaxial pressure. Eng Fract Mech 35(4/5):879–887
Wang YY, Gong B, Tang CA, Zhao T (2022) Numerical study on size effect and anisotropy of columnar jointed basalts under uniaxial compression. Bull Eng Geol Environ 81(1):41
Weibull W (1951) A statistical distribution function of wide applicability. J Appl Mech 18:293–297
Xiang YZ, Liu HL, Zhang WG, Chu J, Zhou D, Xiao Y (2018) Application of transparent soil model test and DEM simulation in study of tunnel failure mechanism. Tunn Undergr Space Technol 74:178–184
Xu DD, Wu AQ, Wu YJ (2019) Discontinuous deformation analysis with potential contact forces. Int J Geomech 19(10):04019114
Zhao WS, Chen WZ, Yang DS (2018) Interaction between strengthening and isolation layers for tunnels in rock subjected to SH waves. Tunn Undergr Space Technol 79:121–133
Zhu WC, Tang CA (2004) Micromechanical model for simulating the fracture process of rock. Rock Mech Rock Eng 37:25–56
Acknowledgements
The authors appreciate Xiankai Wu, Guangyuan Yu, and Peng Liang for their help with the experiment.
Funding
This study received financial support from the National Natural Science Foundation of China (Grant Nos. 41977219 and 42102314) and the China Postdoctoral Science Foundation (Grant No. 2020M680950).
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Communicated by Zeynal Abiddin Erguler.
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Gong, B., Liang, Z. & Liu, X. Nonlinear deformation and failure characteristics of horseshoe-shaped tunnel under varying principal stress direction. Arab J Geosci 15, 475 (2022). https://doi.org/10.1007/s12517-022-09678-z
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DOI: https://doi.org/10.1007/s12517-022-09678-z