Abstract
Based on the analysis of the radial stress distribution in surrounding rocks of tunnel, different asymmetric radial stresses were loaded, which can more truly reflect the stress state of surrounding rocks of tunnel. The stress state and boundary conditions of representative surrounding rock element were simulated by sandstone in this study. The mechanical response and fracture mode transformation were studied. The experimental results showed that as the depth of surrounding rocks from the free surface of tunnel increased, the properties of surrounding rocks showed the characteristics of transition from brittleness to ductility. The strengths of sandstone specimens gradually increased with the increase of the depth, and a power function can well characterize the relationship between the strength and the depth. The fracture modes of sandstone specimens transformed from tensile splitting fracture to tensile-shear complex fracture, and finally to shear fracture with the increase of the depth, which was mainly caused by the asymmetric radial stresses. According to the characteristics of fracture modes under different asymmetric radial stress conditions, four types of failure zones in the radial direction of surrounding rocks can be divided, i.e., tensile splitting failure zone, tensile-shear complex failure zone, shear failure zone, and slight shear failure zone. The shear fracture in deep surrounding rocks and the accompanying large deformation of surrounding rocks should be paid more attention in the support of tunnel. In addition, the accuracy of time-failure model was verified, and it can accurately predict the time needed for rock failure.
Similar content being viewed by others
References
Alejano LR, Alonso E (2005) Considerations of the dilatancy angle in rocks and rock masses. Int J Rock Mech Min Sci 42:481–507. https://doi.org/10.1016/j.ijrmms.2005.01.003
Bishop A (1967) Progressive failure with special reference to the mechanism causing it. Paper presented at the Oslo: Proceedings of the Geotechnical Conference
Cai M (2008) Influence of intermediate principal stress on rock fracturing and strength near excavation boundaries—insight from numerical modeling. Int J Rock Mech Min Sci 45:763–772
Cai M, Kaiser PK, Tasaka Y, Maejima T, Morioka H, Minami M (2004) Generalized crack initiation and crack damage stress thresholds of brittle rock masses near underground excavations. Int J Rock Mech Min Sci 41:833–847
Chai J, Yuan Q, Li Y, Zhang D, Liu Q (2016) Experimental study on overlying strata deformation based on distributed optical fiber sensing. Chin J Rock Mech Eng 35:3589–3596
Chen W, Lu S, Guo X, Qiao C (2009) Research on unloading confining pressure tests and rockburst criterion based on energy theory. Chin J Rock Mech Eng 28:1530–1540
Diederichs M (2007) The 2003 Canadian Geotechnical Colloquium: mechanistic interpretation and practical application of damage and spalling prediction criteria for deep tunneling. Can Geotech J 44:1082–1116. https://doi.org/10.1139/T07-033
Feng XT, Gao Y, Zhang X, Wang Z, Zhang Y, Han Q (2020) Evolution of the mechanical and strength parameters of hard rocks in the true triaxial cyclic loading and unloading tests. Int J Rock Mech Min Sci 131:104349. https://doi.org/10.1016/j.ijrmms.2020.104349
Feng XT, Zhang X, Kong R, Wang G (2016) A novel Mogi type true triaxial testing apparatus and its use to obtain complete stress–strain curves of hard. Rock Mech Rock Eng 49:1649–1662. https://doi.org/10.1007/s00603-015-0875-y
Feng XT, Chen B, Zhang C, Li S, Wu S (2013) Mechanism, warning and dynamic control of rockburst development processes. Science Press, Beijing
Gong FQ, Luo Y, Li XB, Si XF (2017) Experimental modelling on rockburst in deep hard rock circular tunnels. Chin J Rock Mech Eng 36(7):1634–1648. https://doi.org/10.13722/j.cnki.jrme.2017.0160
Gong FQ, Luo Y, Li XB, Si XF, Tao M (2018) Experimental simulation investigation on rockburst induced by spalling failure in deep circular tunnels. Tunn Undergr Space Technol 81:413–427. https://doi.org/10.1016/j.tust.2018.07.035
Gong QM, Yin LJ, Wu SY, Zhao J, Ting Y (2012) Rock burst and slabbing failure and its influence on TBM excavation at headrace tunnels in Jinping II hydropower station. Eng Geol 124:98–108. https://doi.org/10.1016/j.enggeo.2011.10.007
Haimson B (2007) Micromechanisms of borehole instability leading to breakouts in rocks. Int J Rock Mech Min Sci 44:157–173. https://doi.org/10.1016/j.ijrmms.2006.06.002
Haimson B, Chang C (2000) A new true triaxial cell for testing mechanical properties of rock, and its use to determine rock strength and deformability of Westerly granite. Int J Rock Mech Min Sci 37:285–296. https://doi.org/10.1016/S1365-1609(99)00106-9
He M, Coli M, Livi E, Sousa L (2012a) Experimental study of rockbursts in underground quarrying of Carrara marble. Int J Rock Mech Min Sci 52:1–8. https://doi.org/10.1016/j.ijrmms.2012.02.006
He M, Miao J, Li D, Wang C (2007) Experimental study on rockburst processes of granite specimen at great depth. Chin J Rock Mech Eng 26(05):865–876
He M, Nie W, Zhao Z, Guo W (2012b) Experimental investigation of bedding plane orientation on the rockburst behavior of sandstone. Rock Mech Rock Eng 45:311–326. https://doi.org/10.1007/s00603-011-0213-y
He MC, Miao JL, Feng JL (2010) Rock burst process of limestone and its acoustic emission characteristics under true-triaxial unloading conditions. Int J Rock Mech Min Sci 47:286–298. https://doi.org/10.1016/j.ijrmms.2009.09.003
Hoek E, Martin CD (2014) Fracture initiation and propagation in intact rock – a review. J Rock Mech Geotech Eng 6:287–300
Horii H, Nemat-Nasser S (1985) Compression-induced microcrack growth in brittle solids: axial splitting and shear failure. Journal of Geophysical Research: Solid Earth 90:3105–3125
Hua AZ, You MQ (2001) Rock failure due to energy release during unloading and application to underground rock burst control. Tunn Undergr Space Technol 16:241–246. https://doi.org/10.1016/S0886-7798(01)00046-3
Huang D, Li Y (2014) Conversion of strain energy in triaxial unloading tests on marble. Int J Rock Mech Min Sci 66:160–168. https://doi.org/10.1016/j.ijrmms.2013.12.001
Jingtao C, Xiating F (2006) True triaxial experimental study on rock with high geostress. Chin J Rock Mech Eng 25(8):1537–1543. https://doi.org/10.1016/S1872-1508(06)60035-1
Jiang JQ (2017) Study on strainburst in tunnel using true-triaxial test and its kinetic energy prediction. Doctoral thesis Guangxi University (in Chinese)
Kong R, Feng XT, Zhang XW, Yang CX (2018) Study on crack initiation and damage stress in sandstone under true triaxial compression. Journal of Rock Mechanics and Mining Sciences 106:117–123
Li MH, Yin GZ, Xu J, Li WP, Song Z, Jiang C (2016) A novel true triaxial apparatus to study the geomechanical and fluid flow aspects of energy exploitations in geological formations. Rock Mech Rock Eng 49:4647–4659. https://doi.org/10.1007/s00603-016-1060-7
Luo Y, Gong F, Liu D, Wang SY, Si XF (2019) Experimental simulation analysis of the process and failure characteristics of spalling in D-shaped tunnels under true-triaxial loading conditions. Tunn Undergr Space Technol 90:42–61. https://doi.org/10.1016/j.tust.2019.04.020
Luo Y, Gong FQ, Li XB, Wang SY (2020) Experimental simulation investigation of influence of depth on spalling characteristics in circular hard rock tunnel. Journal of Central South University 27(3):891–910. https://doi.org/10.1007/s11771-020-4339-5
Li S, Feng XT, Li Z, Chen B, Zhang C, Zhou H (2012) In situ monitoring of rockburst nucleation and evolution in the deeply buried tunnels of Jinping II hydropower station. Eng Geol 137–138:85–96. https://doi.org/10.1016/j.enggeo.2012.03.010
Martin C (1997) Seventeenth Canadian geotechnical colloquium: the effect of cohesion loss and stress path on brittle rock strength. Can Geotech J 34:698–725. https://doi.org/10.1139/t97-030
Ortlepp WD (2001) The behaviour of tunnels at great depth under large static and dynamic pressures. Tunn Undergr Space Technol 16:41–48. https://doi.org/10.1016/S0886-7798(01)00029-3
Read R, Martin C (1996) Technical summary of AECL’s Mine-by experiment, phase 1: excavation response. AECL
Ryder JA (1988) Excess shear stress in the assessment of geologically hazardous situations. J S Afr Inst Min Metall 88(1):27–39
Si X, Gong F (2020) Strength-weakening effect and shear-tension failure mode transformation mechanism of rockburst for fine-grained granite under triaxial unloading compression.Int J Rock Mech Mini Sci 131:104347. https://doi.org/10.1016/j.ijrmms.2020.104347
Stephansson O, Särkkä P, Myrvang A (1986) State of stress in Fennoscandia. In: Proceedings on Rock Stress and Rock Stress Measurement. Stockholm
Su G, Feng X, Wang J, Jiang J, Hu L (2017a) Experimental study of remotely triggered rockburst induced by a tunnel axial dynamic disturbance under true-triaxial conditions. Rock Mech Rock Eng 50:2207–2226. https://doi.org/10.1007/s00603-017-1218-y
Su G, Shi Y, Feng X-T, Jiang J, Zhang J, Jiang Q (2018) True-triaxial experimental study of the evolutionary features of the acoustic emissions and sounds of rockburst processes. Rock Mech Rock Eng 51:375–389. https://doi.org/10.1007/s00603-017-1344-6
Su G, Zhai S, Jiang J, Zhang G, Yan L (2017b) Influence of radial stress gradient on strainbursts: an experimental study. Rock Mech Rock Eng 50:2659–2676. https://doi.org/10.1007/s00603-017-1266-3
Voight B (1988) A method for prediction of volcanic eruptions. Nature 332:125–130
Wang B, Zhu J, Tan P, Huang S, Wu A (2012) Damage strength determination of marble and its parameters evaluation based on damage control tests. Chin J Rock Mech Eng 31:3967–3973
Xu H, Feng X-T, Yang C, Zhang X, Zhou Y, Wang Z (2019) Influence of initial stresses and unloading rates on the deformation and failure mechanism of Jinping marble under true triaxial compression. Int J Rock Mech Min Sci 117:90–104. https://doi.org/10.1016/j.ijrmms.2019.03.013
Ying WL, Benson PM, Young RP (2009) Laboratory simulation of fluid-driven seismic sequences in shallow crustal conditions. Geophysic Res Lett 36
Yuan Q, Chai J, Li Y, Zhang GH (2014) Experimental study on different forms of fiber Bragg grating sensors detecting for rock model test. In: Isrm Young Scholars Sympos Rock Mech 9–14
Yun X, Mitri H, Yang X, Wang Y (2010a) Experimental investigation into biaxial compressive strength of granite. Int J Rock Mech Min Sci 47:334–341. https://doi.org/10.1016/j.ijrmms.2009.11.004
Yun X, Mitri HS, Yang X, Wang Y (2010b) Experimental investigation into biaxial compressive strength of granite International. Journal of Rock Mechanics and Mining Sciences 47:334–341. https://doi.org/10.1016/j.ijrmms.2009.11.004
Zhao H, Liu C, Huang G, Yu B, Liu Y, Song Z (2020) Experimental investigation on rockburst process and failure characteristics in trapezoidal tunnel under different lateral stresses. Constr Build Mater 259:119530. https://doi.org/10.1016/j.conbuildmat.2020.119530
Zhao XG, Cai M (2010a) Influence of plastic shear strain and confinement-dependent rock dilation on rock failure and displacement near an excavation boundary. Int J Rock Mech Min Sci 47:723–738. https://doi.org/10.1016/j.ijrmms.2010.04.003
Zhao XG, Cai M (2010b) A mobilized dilation angle model for rocks. Int J Rock Mech Min Sci 47:368–384. https://doi.org/10.1016/j.ijrmms.2009.12.007
Zhao XG, Cai M (2014) Influence of specimen height-to-width ratio on the strainburst characteristics of Tianhu granite under true-triaxial unloading conditions. Can Geotech J 52(7):890–902. https://doi.org/10.1139/cgj-2014-0355
Zhou H, Xu RC, Lu JJ, Zhang CQ, Meng FZ, Shen Z (2015a) Study on mechanisms and physical simulation experiment of slab buckling rockburst in deep tunnel. Chin J Rock Mech Eng 34(S2):3658–3666
Zhou H, Meng FZ, Zhang CQ, Lu JJ, Xu RC (2015b) Effect of structural plane on rockburst in deep hard rock tunnels. Chin J Rock Mech Eng 34(4):720–727
Funding
This study was financially supported by the National Natural Science Foundation of China (51674049, 51674048).
Author information
Authors and Affiliations
Corresponding authors
Ethics declarations
Ethics statement
It is not relevant to my work.
Conflict of interest
The authors declare no competing interests.
Rights and permissions
Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Zhao, H., Gun, H., Jiang, C. et al. Mechanical properties and fracture mode transformation of rocks subjected to asymmetric radial stresses. Bull Eng Geol Environ 81, 434 (2022). https://doi.org/10.1007/s10064-022-02891-w
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10064-022-02891-w