Numerical Analysis of Thermo-Hydro-Mechanical Coupling of Diversion Tunnels in a Seasonally Frozen Region
Publication: Journal of Cold Regions Engineering
Volume 34, Issue 3
Abstract
A thermo-hydro-mechanical (THM) coupling model that considers phase transition and frost heaving was developed for a diversion tunnel in a seasonally frozen region. Based on the partial differential equation defined by COMSOL software, a numerical simulation of the temperature field, the seepage field, and the stress field of the rock surrounding the tunnel was conducted. The distributions of temperature, pore-water pressure, and frost heave deformation were also analyzed. The results indicated that the temperature of the surrounding rock periodically changes with changes in the seasonal environmental temperature. Due to the superposition effect of the environment temperature in the tunnel and at the ground surface, the maximum radial frozen depth of the tunnel during the freezing period is the highest at the top of the tunnel, whereas it is at its lowest at the bottom of the tunnel. The maximum radial frozen depth of the tunnel side and bottom tends to be the same because the maximum negative temperature decreases, the specific heat capacity increases, or the heat conductivity decreases. Before freezing, the fissure water in the surrounding rock is smoothly discharged along the ground surface and in the tunnel, and the water supply and drainage of the surrounding rock are basically maintained in an equilibrium state. During freezing, the fissure water in the unfrozen zone is in a state of overpressure due to the failure of the drainage channel in the frozen zone, and the frozen zone changes from a saturated state to an unsaturated state. The lower the maximum negative temperature, the greater the negative pore-water pressure in the frozen zone. The maximum frost heave displacement of the ground surface occurs at the top of the tunnel; however, because the distance from the top of the tunnel increases, the frost heave effect of the tunnel gradually decreases.
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Acknowledgments
This research was supported by the National Natural Science Foundation of China (Nos. 41972294 and 41672312), the Youth Innovation Promotion Association CAS (2015270), the outstanding youth fund of Hubei Province (No. 2017CFA056), Jilin Transportation Science and Technology Project (Nos. 2016-1-8 and 2019-1-5), and Science and Technology Service Network Initiative (KFJ-STS-ZDTP-037). These financial support are gratefully acknowledged.
References
Barton, N., S. Bandis, and K. Bakhtar. 1985. “Strength, deformation and conductivity coupling of rock joints.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 22 (3): 121–140. https://doi.org/10.1016/0148-9062(85)93227-9.
Harlan, R. L. 1973. “Analysis of coupled heat-fluid transport in partially frozen soil.” Water Resour. Res. 9 (5): 1314–1323. https://doi.org/10.1029/WR009i005p01314.
He, M., N. Li, and N. F. Liu. 2012. “Analysis and validation of coupled heat-moisture-deformation model for saturated frozen soils.” [In Chinese.] Chin. J. Geotech. Eng. 34 (10): 1858–1865.
Huang, T., and L. Z. Yang. 1999. “A mathematical model for the coupling among groundwater seepage-stress-temperature in engineering rock mass.” [In Chinese.] J. Southwest Jiaotong Univ. 34 (1): 11–15.
Inokuma, A., and S. Inano. 1996. “Road tunnels in Japan: Deterioration and countermeasures.” Tunnelling Underground Space Technol. 11 (3): 305–309. https://doi.org/10.1016/0886-7798(96)00026-0.
Iseger, P. D. 2006. “Numerical transform inversion using Gaussian quadrature.” Probab. Eng. Inf. Sci. 20 (1): 1–44. https://doi.org/10.1017/S0269964806060013.
Jing, L., C. F. Tsang, and O. Stephansson. 1995. “DCOVALEX—An international co-operative research project on mathematical models of coupled THM process for safety analysis of radioactive waste repositories.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 32 (5): 389–398. https://doi.org/10.1016/0148-9062(95)00031-B.
Lai, Y. M., S. Y. Liu, Z. W. Wu, and W. B. Yu. 2002. “Approximate analytical solution for temperature fields in cold regions circular tunnels.” Cold Reg. Sci. Technol. 34 (1): 43–49. https://doi.org/10.1016/S0165-232X(01)00050-7.
Lai, Y. M., W. S. Pei, M. Y. Zhang, and J. Z. Zhou. 2014. “Study on theory model of hydro-thermal-mechanical interaction process in saturated freezing silty soil.” Int. J. Heat Mass Transfer 78: 805–819. https://doi.org/10.1016/j.ijheatmasstransfer.2014.07.035.
Lai, Y. M., Z. W. Wu, Y. L. Zhu, and L. N. Zhu. 1999. “Nonlinear analyses for the couple problem of temperature, seepage and stress fields in cold region tunnels.” [In Chinese.] Chin. J. Geotech. Eng. 21 (5): 529–533.
Lai, Y. M., W. B. Yu, Z. W. Wu, P. He, and M. X. Zhang. 2001. “Approximate analytical solution for the temperature fields of a circular tunnel in cold regions.” [In Chinese.] J. Glaciol. Geocryol. 23 (2): 126–130.
Li, H. S., Z. L. Liu, and C. J. Liang. 2001. “Mathematical model for coupled moisture heat and stress field and numerical simulation of frozen soil.” [In Chinese.] Acta Mech. Sin. 33 (5): 621–629.
Li, Y. Y., Y. W. Zhang, Y. W. Zhao, and Y. C. Li. 2018. “Temperature test and frost analysis of cold regional rich water tunnel at high altitudes on the western of Sichuan province.” [In Chinese.] J. Railway Sci. Eng. 15 (7): 1778–1785.
Liu, Q. S., Y. S. Kang, B. Liu, and Y. G. Zhu. 2011. “Water–ice phase transition and thermo-hydro-mechanical coupling at low temperature in fractured rock.” [In Chinese.] Chin. J. Rock Mech. Eng. 30 (11): 2181–2188.
McTigue, D. E. 1986. “Thermo-elastic response of fluid saturated porous rock.” J. Geophys. Res. 91 (B9): 9533–9542. https://doi.org/10.1029/JB091iB09p09533.
Neaupane, K. M., and T. Yamabe. 2001. “A fully coupled thermo-hydro-mechanical nonlinear model for a frozen medium.” Comput. Geotech. 28 (8): 613–637. https://doi.org/10.1016/S0266-352X(01)00015-5.
Sun, P. D., D. Q. Yang, and Y. B. Chen. 2007. Introduction to coupling models for multiphysics and numerical simulations. [In Chinese.] Beijing: China Science and Technology Press.
Wang, E. L., Q. Fu, X. C. Liu, T. X. Li, and J. L. Li. 2017. “Simulating and validating the effects of slope frost heaving on canal bed saturated soil using coupled heat-moisture-deformation model.” Int. J. Agric. Biol. Eng. 10 (2): 184–193.
Wang, W., P. Adamidis, M. Hess, D. Kemmler, and O. Kolditz. 2006. “Parallel finite element analysis of THM coupled processes in unsaturated porous media.” In Vol. 113 of Theoretical and numerical unsaturated soil mechanics, edited by T. Schanz, 165–175. Berlin: Springer.
Wang, Z. L., Q. Fu, Q. X. Jiang, and T. X. Li. 2011. “Numerical simulation of water-heat coupled movements in seasonal frozen soil.” Math. Comput. Modell. 54 (3–4): 970–975. https://doi.org/10.1016/j.mcm.2010.11.024.
Zhan, Y. X., H. L. Yao, Z. Lu, and S. H. Xian. 2018. “A coupled thermo-hydromechanical model of soil slope in seasonally frozen regions under freeze–thaw action.” Adv. Civ. Eng. 2018: 7219826. https://doi.org/10.1155/2018/7219826.
Zhou, Y., R. K. N. D. Rajapakse, and J. Graham. 1998. “A coupled thermoporoelastic model with thermo-osmosis and thermal-filtration.” Int. J. Solids Struct. 35 (34–35): 4659–4683. https://doi.org/10.1016/S0020-7683(98)00089-4.
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Published In
Journal of Cold Regions Engineering
Volume 34 • Issue 3 • September 2020
Copyright
© 2020 American Society of Civil Engineers.
History
Received: May 9, 2019
Accepted: Mar 9, 2020
Published online: Jun 16, 2020
Published in print: Sep 1, 2020
Discussion open until: Nov 16, 2020
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