Peridynamics Simulation of Water Inrush Channels Evolution Process Due to Rock Mass Progressive Failure in Karst Tunnels
Publication: International Journal of Geomechanics
Volume 21, Issue 4
Abstract
Water inrush is one of the most serious threats to the construction safety of karst tunnels. Numerical simulation is one of the important means of underground engineering research, which is of great significance for revealing the evolution process of water inrush. In this study, an improved peridynamic model is established to simulate the formation process of water inrush channels due to rock mass progressive failure in karst tunnels. The results show that the surrounding rock between the karst cave and the tunnel excavation area is gradually damaged under the integrative action of excavation disturbance and karst cave water pressure during tunnel excavation. The initiation, propagation, and coalescence of cracks in the surrounding rock are spontaneous, and the water inrush channels are finally formed by the cracks. Based on the improved peridynamics, a total of 21 simulations were performed to study the influence law of different factors on the evolution process of water inrush channels. The influencing factors mainly include water pressure and radius of karst cave, distance between karst cave and tunnel, elastic modulus, and tensile strength of rock mass. Through the analysis of the morphological difference of water inrush channels and the damage degree of the surrounding rock under different calculation conditions, the formation mechanism and evolution process of water inrush channels are revealed. The research methods and results can provide some guidance for disaster prevention and mitigation of karst tunnel water inrush.
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Acknowledgments
This research was supported by the National Natural Science Foundation of China (51991391, U1806226, and 51808359), Key Research and Development Program of Shandong Province (2019GSF111030), Hebei Provincial Natural Science Foundation of China (E2019210356), the Key Laboratory of Large Structure Health Monitoring and Control (KLLSHMC1902), and the Program for Outstanding Ph.D. Candidate of Shandong University.
References
Abdollahi, M. S., M. Najafi, A. Y. Bafghi, and M. F. Marji. 2019. “A 3D numerical model to determine suitable reinforcement strategies for passing TBM through a fault zone, a case study: Safaroud water transmission tunnel, Iran.” Tunnelling Underground Space Technol. 88: 186–199. https://doi.org/10.1016/j.tust.2019.03.008.
Bobaru, F., M. Yang, L. F. Alves, S. A. Silling, E. Askari, and J. F. Xu. 2009. “Convergence, adaptive refinement, and scaling in 1D peridynamics.” Int. J. Numer. Methods Eng. 77: 852–877. https://doi.org/10.1002/nme.2439.
Chen, B.-Q., M. Hashemzadeh, and C. G. Soares. 2014. “Numerical and experimental studies on temperature and distortion patterns in butt-welded plates.” Int. J. Adv. Manuf. Technol. 72: 1121–1131. https://doi.org/10.1007/s00170-014-5740-8.
Chen, G., Z.-Z. Wu, F.-J. Wang, and Y.-L. Ma. 2011. “Study on the application of a comprehensive technique for geological prediction in tunneling.” Environ. Earth Sci. 62: 1667–1671. https://doi.org/10.1007/s12665-010-0651-y.
Chen, Z., J. Wan, X. H. Chu, and H. Liu. 2019. “Two Cosserat peridynamic models and numerical simulation of crack propagation.” Eng. Fract. Mech. 211: 341–361. https://doi.org/10.1016/j.engfracmech.2019.02.032.
Diana, V., and S. Casolo. 2019. “A bond-based micropolar peridynamic model with shear deformability: Elasticity, failure properties and initial yield domains.” Int. J. Solids Struct. 160: 201–231. https://doi.org/10.1016/j.ijsolstr.2018.10.026.
Gao, C. L., Z. Q. Zhou, Z. H. Li, L. P. Li, and S. Cheng. 2020. “Peridynamics simulation of surrounding rock damage characteristics during tunnel excavation.” Tunnelling Underground Space Technol. 97: 103289. https://doi.org/10.1016/j.tust.2020.103289.
Gerstle, W., N. Sau, and S. Silling. 2007. “Peridynamic modeling of concrete structures.” Nucl. Eng. Des. 237: 1250–1258. https://doi.org/10.1016/j.nucengdes.2006.10.002.
Ha, Y. D., and F. Bobaru. 2010. “Studies of dynamic crack propagation and crack branching with peridynamics.” Int. J. Fract. 162: 229–244. https://doi.org/10.1007/s10704-010-9442-4.
Ha, Y. D., J. Lee, and J.-W. Hong. 2015. “Fracturing patterns of rock-like materials in compression captured with peridynamics.” Eng. Fract. Mech. 144: 176–193. https://doi.org/10.1016/j.engfracmech.2015.06.064.
Huang, F., L. H. Zhao, T. H. Ling, and X. L. Yang. 2017. “Rock mass collapse mechanism of concealed karst cave beneath deep tunnel.” Int. J. Rock Mech. Min. Sci. 91: 133–138. https://doi.org/10.1016/j.ijrmms.2016.11.017.
Huang, Z., W. Zeng, Y. Wu, S. J. Li, and K. Zhao. 2019. “Experimental investigation of fracture propagation and inrush characteristics in tunnel construction.” Nat. Hazard. 97: 193–210. https://doi.org/10.1007/s11069-019-03634-z.
Kilic, B., A. Agwai, and E. Madenci. 2009. “Peridynamic theory for progressive damage prediction in center-cracked composite laminates.” Compos. Struct. 90: 141–151. https://doi.org/10.1016/j.compstruct.2009.02.015.
Kilic, B., and E. Madenci. 2010. “An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory.” Theor. Appl. Fract. Mech. 53: 194–204. https://doi.org/10.1016/j.tafmec.2010.08.001.
Le, Q. V., W. K. Chan, and J. Schwartz. 2014. “A two-dimensional ordinary, state-based peridynamic model for linearly elastic solids.” Int. J. Numer. Methods Eng. 98: 547–561. https://doi.org/10.1002/nme.4642.
Li, L. P., D. Y. Chen, S. C. Li, S. S. Shi, M. G. Zhang, and H. L. Liu. 2017. “Numerical analysis and fluid-solid coupling model test of filling-type fracture water inrush and mud gush.” Geomech. Eng. 13 (6): 1011–1025. https://doi.org/10.12989/gae.2017.13.6.1011.
Li, L. P., J. Hu, S. C. Li, C. S. Qin, H. L. Liu, D. Y. Chen, and J. Wang. 2021. “Development of a novel triaxial rock testing method based on biaxial test apparatus and its application.” Rock Mech. Rock Eng. https://doi.org/10.1007/s00603-020-02329-3.
Li, L. P., S. Q. Sun, J. Wang, S. G. Song, Z. D. Fang, and M. G. Zhang. 2020a. “Development of compound EPB shield model test system for studying the water inrushes in karst regions.” Tunnelling Underground Space Technol. 101: 103404. https://doi.org/10.1016/j.tust.2020.103404.
Li, L. P., S. Q. Sun, J. Wang, W. M. Yang, S. G. Song, and Z. D. Fang. 2020b. “Experimental study of the precursor information of the water inrush in shield tunnels due to the proximity of a water-filled cave.” Int. J. Rock Mech. Min. Sci. 130: 104320. https://doi.org/10.1016/j.ijrmms.2020.104320.
Li, S. C., C. L. Gao, Z. Q. Zhou, L. P. Li, M. X. Wang, Y. C. Yuan, and J. Wang. 2019a. “Analysis on the precursor information of water inrush in karst tunnels: A true triaxial model test study.” Rock Mech. Rock Eng. 52: 373–384. https://doi.org/10.1007/s00603-018-1582-2.
Li, S. C., J. Wang, L. P. Li, S. S. Shi, and Z. Q. Zhou. 2019b. “The theoretical and numerical analysis of water inrush through filling structures.” Math. Comput. Simul 162: 115–134. https://doi.org/10.1016/j.matcom.2018.12.014.
Li, S.-C., Z.-Q. Zhou, L.-P. Li, Z.-H. Xu, Q.-Q. Zhang, and S.-S. Shi. 2013a. “Risk assessment of water inrush in karst tunnels based on attribute synthetic evaluation system.” Tunnelling Underground Space Technol. 38: 50–58. https://doi.org/10.1016/j.tust.2013.05.001.
Li, S. C., Z. Q. Zhou, Z. H. Ye, L. P. Li, Q. Q. Zhang, and Z. H. Xu. 2015. “Comprehensive geophysical prediction and treatment measures of karst caves in deep buried tunnel.” J. Appl. Geophys. 116: 247–257. https://doi.org/10.1016/j.jappgeo.2015.03.019.
Li, T., T. T. Mei, X. H. Sun, Y. G. Lv, J. Q. Sheng, and M. Cai. 2013b. “A study on a water-inrush incident at Laohutai coalmine.” Int. J. Rock Mech. Min. Sci. 59: 151–159. https://doi.org/10.1016/j.ijrmms.2012.12.002.
Liu, H. L., L. C. Li, Z. C. Li, and G. F. Yu. 2018. “Numerical modelling of mining-induced inrushes from subjacent water conducting karst collapse columns in northern China.” Mine Water Environ. 37: 652–662. https://doi.org/10.1007/s10230-017-0503-z.
Liu, J. Q., W. Z. Chen, W. Nie, J. Q. Yuan, and J. L. Dong. 2019. “Experimental research on the mass transfer and flow properties of water inrush in completely weathered granite under different particle size distributions.” Rock Mech. Rock Eng. 52: 2141–2153. https://doi.org/10.1007/s00603-018-1719-3.
Liu, M. H., Q. Wang, and W. Lu. 2017. “Peridynamic simulation of brittle-ice crushed by a vertical structure.” Int. J. Nav. Archit. Ocean Eng. 9: 209–218. https://doi.org/10.1016/j.ijnaoe.2016.10.003.
Meo, D. D., N. Zhu, and E. Oterkus. 2016. “Peridynamic modeling of granular fracture in polycrystalline materials.” J. Eng. Mater. Tech. 138: 041008. https://doi.org/10.1115/1.4033634.
Oterkus, S., and E. Madenci. 2017. “Peridynamic modeling of fuel pellet cracking.” Eng. Fract. Mech. 176: 23–37. https://doi.org/10.1016/j.engfracmech.2017.02.014.
Parks, M. L., R. B. Lehoucq, S. J. Plimpton, and S. A. Silling. 2008. “Implementing peridynamics within a molecular dynamics code.” Comput. Phys. Commun. 179: 777–783. https://doi.org/10.1016/j.cpc.2008.06.011.
Qu, P., Y. Wan, C. J. Bao, Q. Sun, G. Q. Fang, and J. Takahashi. 2018. “A new numerical method for the mechanical analysis of chopped carbon fiber tape-reinforced thermoplastics.” Compos. Struct. 201: 857–866. https://doi.org/10.1016/j.compstruct.2018.06.110.
Rädel, M., C. Willberg, and D. Krause. 2019. “Peridynamic analysis of fibre-matrix debond and matrix failure mechanisms in composites under transverse tensile load by an energy-based damage criterion.” Composites, Part B 158: 18–27. https://doi.org/10.1016/j.compositesb.2018.08.084.
Ren, B., C. T. Wu, P. Seleson, D. Zeng, and D. Lyu. 2018. “A peridynamic failure analysis of fiber-reinforced composite laminates using finite element discontinuous Galerkin approximations.” Int. J. Fract. 214: 49–68. https://doi.org/10.1007/s10704-018-0317-4.
Rivas, E., M. Parchei-Esfahani, and R. Gracie. 2019. “A two-dimensional extended finite element method model of discrete fracture networks.” Int. J. Numer. Methods Eng. 117: 1263–1282. https://doi.org/10.1002/nme.5999.
Silling, S. A. 2000. “Reformulation of elasticity theory for discontinuities and long-range forces.” J. Mech. Phys. Solids 48: 175–209. https://doi.org/10.1016/S0022-5096(99)00029-0.
Silling, S. A., and E. Askari. 2005. “A meshfree method based on the peridynamic model of solid mechanics.” Comput. Struct. 83: 1526–1535. https://doi.org/10.1016/j.compstruc.2004.11.026.
Silling, S. A., and F. Bobaru. 2005. “Peridynamic modeling of membranes and fibers.” Int. J. Non Linear Mech. 40: 395–409. https://doi.org/10.1016/j.ijnonlinmec.2004.08.004.
Sun, C. Y., and Z. X. Huang. 2016. “Peridynamic simulation to impacting damage in composite laminate.” Compos. Struct. 138: 335–341. https://doi.org/10.1016/j.compstruct.2015.12.001.
Sun, S., and V. Sundararaghavan. 2014. “A peridynamic implementation of crystal plasticity.” Int. J. Solids Struct. 51: 3350–3360. https://doi.org/10.1016/j.ijsolstr.2014.05.027.
Turner, D. Z. 2015. “Peridynamics-based digital image correlation algorithm suitable for cracks and other discontinuities.” J. Eng. Mech. 141 (2): 04014115. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000831.
Wang, J., S. C. Li, L. P. Li, and C. L. Gao. 2018a. “Influence of fracture characters on flow distribution under different Reynold numbers.” Geomech. Eng. 14 (2): 187–193. https://doi.org/10.12989/gae.2018.14.2.187.
Wang, Q., Y. Wang, Y. F. Zan, W. Lu, X. L. Bai, and J. Guo. 2018b. “Peridynamics simulation of the fragmentation of ice cover by blast loads of an underwater explosion.” J. Mar. Sci. Technol. 23: 52–66. https://doi.org/10.1007/s00773-017-0454-x.
Wang, X. 2014. “Nonlinear finite element analysis of the stability of gravity platform.” Appl. Mech. Mater. 578-579: 292–295. https://doi.org/10.4028/www.scientific.net/AMM.578-579.292.
Wang, Y. T., X. P. Zhou, Y. Wang, and Y. D. Shou. 2018c. “A 3-D conjugated bond-pair-based peridynamic formulation for initiation and propagation of cracks in brittle solids.” Int. J. Solids Struct. 134: 89–115. https://doi.org/10.1016/j.ijsolstr.2017.10.022.
Yang, W. M., M. X. Wang, Z. Q. Zhou, L. P. Li, Y. C. Yuan, and C. L. Gao. 2019. “A true triaxial geomechanical model test apparatus for studying the precursory information of water inrush from impermeable rock mass failure.” Tunnelling Underground Space Technol. 93: 103078. https://doi.org/10.1016/j.tust.2019.103078.
Yuan, P., and Y. B. Liu. 2012. “Analysis on strength of fractured rock mass under seepage pressure.” IERI Procedia 1: 101–109. https://doi.org/10.1016/j.ieri.2012.06.022.
Zarei, H. R., A. Uromeihy, and M. Sharifzadeh. 2013. “A new tunnel inflow classification (TIC) system through sedimentary rock masses.” Tunnelling Underground Space Technol. 34: 1–12. https://doi.org/10.1016/j.tust.2012.09.005.
Zhang, G.-H., Y.-Y. Jiao, C.-X. Ma, H. Wang, L.-B. Chen, and Z.-C. Tang. 2018. “Alteration characteristics of granite contact zone and treatment measures for inrush hazards during tunnel construction – a case study.” Eng. Geol. 235: 64–80. https://doi.org/10.1016/j.enggeo.2018.01.022.
Zhang, G.-H., Y.-Y. Jiao, H. Wang, Y. Cheng, and L.-B. Chen. 2017b. “On the mechanism of inrush hazards when Denghuozhai tunnel passing through granite contact zone.” Tunnelling Underground Space Technol. 68: 174–186. https://doi.org/10.1016/j.tust.2017.05.008.
Zhao, X., and X. H. Yang. 2019. “Experimental study on water inflow characteristics of tunnel in the fault fracture zone.” Arabian J. Geosci. 12: 399. https://doi.org/10.1007/s12517-019-4561-3.
Zhou, X. P., and J. W. Chen. 2019. “Extended finite element simulation of step-path brittle failure in rock slopes with non-persistent en-echelon joints.” Eng. Geol. 250: 65–88. https://doi.org/10.1016/j.enggeo.2019.01.012.
Zhou, X.-P., X.-B. Gu, and Y.-T. Wang. 2015. “Numerical simulations of propagation, bifurcation and coalescence of cracks in rocks.” Int. J. Rock Mech. Min. Sci. 80: 241–254. https://doi.org/10.1016/j.ijrmms.2015.09.006.
Zhou, X. P., and Y. D. Shou. 2017. “Numerical simulation of failure of rock-like material subjected to compressive loads using improved peridynamic method.” Int. J. Geomech. 17 (3): 04016086. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000778.
Zhou, X.-P., and Y.-T. Wang. 2016. “Numerical simulation of crack propagation and coalescence in pre-cracked rock-like Brazilian disks using the non-ordinary state-based peridynamics.” Int. J. Rock Mech. Min. Sci. 89: 235–249. https://doi.org/10.1016/j.ijrmms.2016.09.010.
Zhou, Z. Q., P. G. Ranjith, W. M. Yang, S. S. Shi, C. C. Wei, and Z. H. Li. 2019. “A new set of scaling relationships for DEM-CFD simulations of fluid–solid coupling problems in saturated and cohesiveless granular soils.” Comput. Part. Mech. 6 (4): 657–669. https://doi.org/10.1007/s40571-019-00246-z.
Zhuang, L., K. Y. Kim, S. G. Jung, M. Diaz, and K.-B. Min. 2019. “Effect of water infiltration, injection rate and anisotropy on hydraulic fracturing behavior of granite.” Rock Mech. Rock Eng. 52: 575–589. https://doi.org/10.1007/s00603-018-1431-3.
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International Journal of Geomechanics
Volume 21 • Issue 4 • April 2021
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© 2021 American Society of Civil Engineers.
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Received: Apr 30, 2020
Accepted: Nov 18, 2020
Published online: Feb 5, 2021
Published in print: Apr 1, 2021
Discussion open until: Jul 5, 2021
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