Theoretical analysis of grouting reinforcement of surrounding rock with strength drop in deep chamber. (English) Zbl 1523.74081
Summary: Excavation disturbance of deep chamber can easily cause the broken and deterioration of surrounding rock, bringing hidden danger to construction safety. Based on post-peak strength drop model, considering the influence of grouting seepage force, the analytical solutions of stress and displacement of surrounding rock in deep circular chamber before and after grouting were deduced by using orthogonal non-associated flow rule. Then, the evolution laws of stress and displacement with different chamber depths, radii and grouting thicknesses were analyzed in detail. Finally, the correctness of the theoretical solutions was verified by an engineering field. Results show that grouting has a good modulating control effect on the stress contribution and displacement of the surrounding rock, while on the magnitudes of the stress is not obvious; the influence of chamber depth on the stress and displacement of surrounding rock is significant, while chamber radius and grouting thickness is insignificant.
MSC:
| 74L10 | Soil and rock mechanics |
| 74C05 | Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) |
| 74G05 | Explicit solutions of equilibrium problems in solid mechanics |
Keywords:
post-peak strength drop model; Mohr-Coulomb criterion; orthogonal non-associated flow rule; stress field; displacement field; analytical solutionReferences:
| [1] | Brown, ET; Bray, JW; Ladanyi, B., Ground response curves for rock tunnels, J. Geotech. Eng., 109, 1, 15-39 (1983) · doi:10.1061/(ASCE)0733-9410(1983)109:1(15) |
| [2] | Reed, MB, Stresses and displacements around a cylindrical cavity in soft rock, IMA J. Appl. Math., 36, 3, 223-245 (1986) · Zbl 0607.73114 · doi:10.1093/imamat/36.3.223 |
| [3] | Ogawa, T.; Lo, KY, Effects of dilatancy and yield criteria on displacements around tunnels, Can. Geotech. J., 24, 1, 100-113 (1987) · doi:10.1139/t87-009 |
| [4] | Wang, Y., Ground response of circular tunnel in poorly consolidated rock, J. Geotech. Eng., 122, 9, 703-708 (1996) · doi:10.1061/(ASCE)0733-9410(1996)122:9(703) |
| [5] | Carranza-Torres, C.; Fairhurst, C., The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion, Int. J. Rock Mech. Min. Sci., 36, 6, 777-809 (1999) · doi:10.1016/S0148-9062(99)00047-9 |
| [6] | Carranza-Torres, C., Elasto-plastic solution of tunnel problems using the generalized form of the Hoek-Brown failure criterion, Int. J. Rock Mech. Min. Sci., 41, 3, 480-481 (2004) · doi:10.1016/j.ijrmms.2003.12.014 |
| [7] | Chen, R.; Tonon, F., Closed-form solutions for a circular tunnel in elastic-brittle-plastic ground with the original and generalized Hoek-Brown failure criteria, Rock Mech. Rock Eng., 44, 2, 169-178 (2011) · doi:10.1007/s00603-010-0122-5 |
| [8] | Sharan, SK, Elastic-brittle-plastic analysis of circular openings in Hoek-Brown media, Int. J. Rock Mech. Min. Sci., 40, 6, 817-824 (2003) · doi:10.1016/S1365-1609(03)00040-6 |
| [9] | Sharan, SK, Exact and approximate solutions for displacements around circular openings in elastic-brittle-plastic Hoek-Brown rock, Int. J. Rock Mech. Min. Sci., 42, 4, 542-549 (2005) · doi:10.1016/j.ijrmms.2005.03.019 |
| [10] | Sharan, SK, Analytical solutions for stresses and displacements around a circular opening in a generalized Hoek-Brown rock, Int. J. Rock Mech. Min. Sci., 45, 1, 78-85 (2008) · doi:10.1016/j.ijrmms.2007.03.002 |
| [11] | Park, KH; Kim, YJ, Analytical solution for a circular opening in an elastic-brittle-plastic rock, Int. J. Rock Mech. Min. Sci., 43, 4, 616-622 (2006) · doi:10.1016/j.ijrmms.2005.11.004 |
| [12] | Li, ZL; Ren, QW; Wang, YH, Elasto-plastic analytical solution of deep-buried circle tunnel considering fluid flow field, Chin. J. Rock Mech. Eng., 23, 8, 1291-1295 (2004) |
| [13] | Rong, CX; Cheng, H., Stability analysis of rocks around tunnel with ground water permeation, Chin. J. Rock Mech. Eng., 23, 5, 741-744 (2004) |
| [14] | Zareifard, MR; Fahimifar, A., Analytical solutions for the stresses and deformations of deep tunnels in an elastic-brittle-plastic rock mass considering the damaged zone, Tunn. Undergr. Space Technol., 58, 186-196 (2016) · doi:10.1016/j.tust.2016.05.007 |
| [15] | Liu, CX; Yang, LD; Li, P., Elastic-plastic analytical solution of deep buried circle tunnel considering stress redistribution, Eng. Mech., 26, 2, 16-20 (2009) |
| [16] | Huang, F.; Yang, XL, Analytical solution of circular openings subjected to seepage in Hoek-Brown media, Rock Soil Mech., 31, 5, 1627-1632 (2010) · doi:10.16285/j.rsm.2010.05.013 |
| [17] | Zhang, YJ; Zhang, WQ, An elastoplastic analytical solution for circular cavern considering combined thermo-hydro-mechanical action, Rock Soil Mech., 34, S2, 41-44 (2013) · doi:10.16285/j.rsm.2013.s2.003 |
| [18] | Zareifard, MR; Fahimifar, A., Elastic-brittle-plastic analysis of circular deep underwater cavities in a Mohr-Coulomb rock mass considering seepage forces, Int. J. Geomech., 15, 5, 04014077 (2015) · doi:10.1061/(ASCE)GM.1943-5622.0000400 |
| [19] | Wang, HY, Analytical solution for elasto-plastic coupling of the brittle rock, Modern Tunn. Technol., 51, 6, 29-34+40 (2014) · doi:10.13807/j.cnki.mtt.2014.06.006 |
| [20] | Hu, LS; Wang, JX; Lu, YR, Elastoplastic solution for deep tunnel considering influences of groundwater, grouting and lining, Rock Soil Mech., 33, 3, 757-766 (2012) · doi:10.16285/j.rsm.2012.03.037 |
| [21] | Li, X.F.: Unified Analytic Elasto-Plastic Solution of Deep Circular Hydraulic Tunnel with Effects of Liner-Grout-Rock Ground Water. Doctoral thesis, Shanghai Jiao Tong University, Shanghai (2016) (in Chinese) |
| [22] | Zhang, Y.; Zhang, D.; Fang, Q., Analytical solutions of non-darcy seepage of grouted subsea tunnels, Tunn. Undergr. Space Technol., 96, 103182 (2020) · doi:10.1016/j.tust.2019 |
| [23] | He X.N.: Study on Cooperative Anti-permeability Support Design of Lining Structure and the Reinforced Surrounding Rock of Deep Buried Tunnel with High Water Pressure. Doctoral thesis, University of Science and Technology Beijing, Beijing (2022) (in Chinese) |
| [24] | Zhao, Z.; Sun, W.; Chen, S., Displacement of surrounding rock in a deep circular hole considering double moduli and strength-stiffness degradation, Appl. Math. Mech., 41, 12, 1847-1860 (2020) · Zbl 1479.74090 · doi:10.1007/s10483-020-2665-9 |
| [25] | Yuan, LJ; Li, ZS; Wu, SZ, Engineering Seepage Mechanics and Application (2001), Beijing: China Building Materials Press, Beijing |
| [26] | Ye, F.; Guo, HW; Duan, ZJ, Disturbance mechanical problems induced by synchronous grouting in deep shield tunnels, Chin. J. Geotech. Eng., 41, 5, 855-863 (2019) · doi:10.11779/CJGE201905008 |
| [27] | Gao, YF; Fan, QZ; Wang, HP, Grouting reinforcement test of rock after peak value of strength and roadway stability controll, Rock Soil Mech., 25, S1, 21-24 (2004) · doi:10.16285/j.rsm.2004.s1.005 |
| [28] | Wang, HP; Gao, YF; Li, SC, Uniaxial experiment study on mechanical properties of reinforced broken rocks pre-and-post grouting, Chin. J. Undergr. Space Eng., 3, 1, 27-31+39 (2007) |
| [29] | Zong, YJ; Han, LJ; Han, GL, Mechanical characteristics of confined grouting reinforcement for cracked rock mass, J. Min. Saf. Eng., 30, 4, 483-488 (2013) |
| [30] | Huang, Y.; Yang, W.; Zhao, A., Shear strength and re-failure characteristics of intact red sandstone and grouting-reinforced body of fractured red sandstone under different shear angles, Minerals., 12, 12, 1580 (2022) · doi:10.3390/min12121580 |
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