Abstract
Overtopping is one of the main reasons for the breaching of concrete-face sand-gravel dams (CFSGDs). In this study, a refined mathematical model was established based on the characteristics of the overtopping breaching of CFSGDs. The model characteristics were as follows: (1) Based on the Renormailzation Group (RNG) k-ε turbulence theory and volume of fluid (VOF) method, the turbulent characteristics of the dam-break flow were simulated, and the erosion surface of the water and soil was tracked; (2) In consideration of the influence of the change in the sediment content on the dam-break flow, the dam material transport equation, which could reflect the characteristics of particle settlement and entrainment motion, was used to simulate the erosion process of the sand gravels; (3) Based on the bending moment balance method, a failure equation of the concrete face slab under dead weight and water load was established. The proposed model was verified through a case study on the failure of the Gouhou CFSGD. The results showed that the proposed model could well simulate the erosion mode of the special vortex flow of the CFSGD scouring the support body of the concrete face slab inward and reflect the mutual coupling relationship between the dam-break flow, sand gravels, and concrete face slabs. Compared with the measured values, the relative errors of the peak discharge, final breach average width, dam breaching duration, and maximum failure length of the face slab calculated using the proposed model were all less than 12%, thus verifying the rationality of the model. The proposed model was demonstrated to perform better and provide more detailed results than three selected parametric models and three simplified mathematical models. The study results can aid in establishing the risk level and devising early warning strategies for CFSGDs.
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References
Cao ZX, Yue ZY, Pender G (2011) Landslide dam failure and flood hydraulics. Part II: coupled mathematical modelling. Nat Hazards 59(2): 1021–1045. https://doi.org/10.1007/s11069-011-9815-7
Chen Q, Zhang LM (2006) Three-dimensional analysis of water infiltration into the Gouhou rockfill dam using saturated-unsaturated seepage theory. Can Geotech J 43(5): 449–461. https://doi.org/10.1139/t06-011
Chen SS, Cao W, Huo JP, et al. (2012) Numerical simulation for overtopping-induced break process of concrete-faced sandy gravel dams. Chin J Geotech Eng 34(07): 1169–1175. (In Chinese)
Chen SS, Zhong QM, Cao W (2012) Breach mechanism and numerical simulation for seepage failure of earth-rock dams. Sci China Technol Sc 55(6): 1757–1764. https://doi.org/10.1007/s11431-012-4768-y
Chen ZY, Ma LQ, Yu S, et al. (2015) Back analysis of the draining process of the Tangjiashan barrier lake. J Hydraul Eng 141(4): 05014011. https://doi.org/10.1061/(asce)hy.1943-7900.0000965
Cristo CD, Greco M, Iervolino M, et al. (2016) Two-dimensional two-phase depth-integrated model for transients over mobile bed. J Hydraul Eng 142(2): 04015043. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001024
Deising D, Marschall H, Bothe D (2016) A unified single-field model framework for Volume-Of-Fluid simulations of interfacial species transfer applied to bubbly flows. Chem Eng Sci 139: 173–195. https://doi.org/10.1016/jxes.2015.06.021
Froehlich DC (2016) Predicting peak discharge from gradually breached embankment dam. J Hydrol Eng 21(11): 04016041. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001424
Guan MF, Wright NG, Sleigh A (2014) 2D process-based morphodynamic model for flooding by noncohesive dyke breach. J Hydrol Eng 140(7): 44–51. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000861
Gurbuz A, Peker I (2016) Monitored performance of a concrete-faced sand-gravel dam. J Perform Constr Fac 30(5): 04016011. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000870
Hirt CW, Nichols BD (1981) Volume of fluid (VOF) method for the dynamics of free boundaries. J Comput Phys 39(1): 201–225. https://doi.org/10.1016/0021-9991(81)90145-5
Hooshyaripor F, Tahershamsi A, Golian S (2014) Application of copula method and neural networks for predicting peak outflow from breached embankments. J Hydro-environ Res 8(3): 292–303. https://doi.org/10.1016/j.jher.2013.11.004
Hu QL, Yu B (2000) Numerical simulation for concrete rockfill dam failure. J Hydrodyn 15(2): 169–176. (In Chinese) https://doi.org/10.16076/j.cnki.cjhd.2000.02.006
Juez C, Murillo J, García-Navarro P (2014) A 2D weakly-coupled and efficient numerical model for transient shallow flow and movable bed. Adv Water Resour 71: 93–109. https://doi.org/10.1016/j.advwatres.2014.05.014
Kao HM, Chang TJ (2012) Numerical modeling of dam break-induced flood and inundation using smoothed particle hydrodynamics. J Hydrol 448–449. https://doi.org/10.1016/jjhydrol.2012.05.004
Kassar BBM, Carneiro JNE, Nieckele AO (2018) Curvature computation in volume-of-fluid method based on point-cloud sampling. Comput Phys Commun 222: 189–208. https://doi.org/10.1016/j.cpc.2017.10.003
Kakinuma T, Shimizu Y (2014) Large-scale experiment and numerical modeling of a riverine levee breach. J Hydraul Eng 140(9): 04014039. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000902
Kesserwani G, Shamkhalchian A, Zadeh MJ (2014) Fully coupled discontinuous Galerkin modeling of dam-break flows over movable bed with sediment transport. J Hydraul Eng 140(4): 06014006. https://doi.org/10.1061/(asce)hy.1943-7900.0000860
Khoshkonesh A, Nsom B, Gohari S, et al. (2019) A comprehensive study on dam-break flow over dry and wet beds. Ocean Eng 188(Sep. 15): 106279. https://doi.org/10.1016/j.oceaneng.2019.106279
Li L, Sheng JB (2000) Engineering behavior of gravel materials of Gouhou dam. Journal of Nanjing Hydraulic Research institute 3: 27–32. (In Chinese) https://doi.org/10.16198/j.cnki.1009-640x.2000.03.006
Li YL, Chen AK, Wen LF, et al. (2020) Numerical simulation of non-cohesive homogeneous dam breaching due to overtopping considering the seepage effect. Eur J Environ Civ Eng 26(5): 1993–2007. https://doi.org/10.1080/19648189.2020.1744481
Li YL, Qiu W, Chen ZY, et al. (2021) Experimental study on the process of overtopping breach of concrete-faced sand-gravel dam. Eur J Environ Civ En 26(13): 6334–6353. https://doi.org/10.1080/19648189.2021.1939791
Lorenzo GD, Macchione F (2014) Formulas for the peak discharge from breached earthfill dams. J Hydraul Eng 140(1). https://doi.org/10.1061/(ASCE)HY.1943-7900.0000796
Ma HQ, Chi FD (2016) Technical Progress on researches for the safety of high concrete-faced rockfill dams. Engineering 2(3): 332–339. https://doi.org/10.1016/J.ENG.2016.03.010
Marsooli R, Wu WM (2015) Three-dimensional numerical modeling of dam-break flows with sediment transport over movable beds. J Hydraul Eng 141(1): 04014066. https://doi.org/10.1061/(asce)hy.1943-7900.0000947
Mastbergen DR, Van Den Berg JH (2003) Breaching in fine sands and the generation of sustained turbidity currents in submarine canyons. Sedimentology 50(4): 625–637. https://doi.org/10.1046/j.1365-3091.2003.00554.x
Meyer-Peter E, Müller R (1948) Formulas for bed-load transport. Proceedings of the 2nd Meeting of the International Association for Hydraulic Structures Research. Stockholm, Sweden, IAHR, pp 39–64.
Ozmen-Cagatay H, Kocaman S (2010) Dam-break flows during initial stage using SWE and RANS approaches. J Hydraul Res 48(5): 603–611. https://doi.org/10.1080/00221686.2010.507342
Ozmen-Cagatay H, Kocaman S (2011) Dam-break flow in the presence of obstacle: experiment and CFD simulation. Eng Appl Comp Fluid 5(4): 541–552. https://doi.org/10.1080/19942060.2011.11015393
Ozmen-Cagatay H, Turhan E, Kocaman S (2022) An experimental investigation of dam-break induced flood waves for different density fluids. Ocean Eng 243: 110227. https://doi.org/10.1016/j.oceaneng.2021.110227
Pierce MW, Thornton CI, Abt SR (2010) Predicting peak outflow from breached embankment dams. J Hydrol Eng 15(5): 338–349. https://doi.org/10.1061/(ASCE)HE.1943-5584.0000197
Pickert G, Weitbrecht V, Bieberstein A (2011) Breaching of overtopped river embankments controlled by apparent cohesion. J Hydraul Res 49(2): 143–156. https://doi.org/10.1080/00221686.2011.552468
Rogers JD, Watkins CM, Chung JW (2010) The 2005 Upper Taum Sauk dam failure: a case history. Environ Eng Geosci 16(3): 257–289. https://doi.org/10.2113/gseegeosci.16.3.257
Rosatti G, Begnudelli L (2013) Two-dimensional simulation of debris flows over mobile bed: Enhancing the TRENT2D model by using a well-balanced Generalized Roe-type solver. Comput Fluids 71: 179–195. https://doi.org/10.1016/j.compfluid.2012.10.006
Sabbagh-Yazdi SR, Jamshidi M (2013) Depth-averaged hydrodynamic model for gradual breaching of embankment dams attributable to overtopping considering suspended sediment transport. J Hydraul Eng 139(6): 580–592. https://doi.org/10.1061/(ASCE)HY.1943-7900.0000706
USBR (US Bureau of Reclamation) (1988) Downstream hazard classification guidelines. ACER Technical Memorandum No. 11, 57. Denver: United States Department of the Interior.
Vosoughi F, Rakhshandehroo G, Nikoo MR, et al. (2020) Experimental study and numerical verification of silted-up dam break. J Hydrol 590: 125267. https://doi.org/10.1016/jjhydrol.2020.125267
Wang B, Chen YL, Wu C, et al. (2018) Empirical and semi-analytical models for predicting peak outflows caused by embankment dam failures. J Hydrol 562: 692–702. https://doi.org/10.1016/j.jhydrol.2018.05.049
Wang B, Liu WJ, Wang W, et al. (2020) Experimental and numerical investigations of similarity for dam-break flows on wet bed. J Hydrol 583: 124598. https://doi.org/10.1016/j.jhydrol.2020.124598
Wang T, Shen ZZ (2015) Mathematical model of overtopping-induced break of concrete-faced sand-gravel dams. J Hydraul Eng 46(06): 699–706. (In Chinese) https://doi.org/10.13243/jxnki.slxb.20140265
Xu Y, Zhang LM (2009) Breaching parameters for earth and rockfill dams. J Geotech Geoenviron 135(12): 1957–1970. https://doi.org/10.1061/(asce)gt.1943-5606.0000162
Yakhot V, Smith LM (1992) The renormalization group, the-expansion and derivation of turbulence models. J Sci Comput 7(1): 35–61.https://doi.org/10.1007/bf01060210
Yao C, Wu LG, Yang JH, et al. (2020) Influences of tailings particle size on overtopping tailings dam failures. Mine Water Environ 1–15. https://doi.org/10.1007/s10230-020-00725-3
Zhao TL, Chen SS, Fu CJ, et al. (2019) Centrifugal model tests and numerical simulations for barrier dam break due to overtopping. J Mt Sci 16(3): 630–640. https://doi.org/10.1007/s11629-018-5024-0
Zhong QM, Chen SS, Deng Z (2018) A simplified physically-based breach model for a high concrete-faced rockfill dam: a case study. Water Sci Eng 11(1): 46–52. https://doi.org/10.1016/j.wse.2018.03.005
Zhong QM, Chen SS, Deng Z, et al. (2019) Prediction of overtopping-induced breach process of cohesive dams. J Geotech Geoenviron 145(5): 04019012. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002035
Zhong QM, Chen SS, Fu ZZ (2019) Failure of concrete-face sand-gravel dam due to water flow overtops. J Perform Constr Fac 33(2). https://doi.org/10.1061/(ASCE)CF.1943-5509.0001275
Zhong QM, Chen SS, Fu ZZ, et al. (2020) New empirical model for breaching of earth-rock dams. Nat Hazards Rev 21(2). https://doi.org/10.1061/(ASCE)NH.1527-6996.0000374
Zhong QM, Wang L, Chen SS, et al. (2021) Breaches of embankment and landslide dams-State of the art review. Earth-Sci Rev (12): 103597. https://doi.org/10.1016/j.earscirev.2021.103597
Zhou B, Chen Z.Y, Li SY, et al. (2015) Comparison of sediment transport model in dam break simulation. J Basic Sci Eng 23(06): 1097–1108. (In Chinese) https://doi.org/10.16058/j.issn.1005-0930.2015.06.004
Acknowledgments
This research was supported by the National Science Fund for Distinguished Young Scholars (Grant No. 52125904), the National Natural Science Foundation of China (Grant No. 51979224), and the Program 2022TD-01 for Shaanxi Provincial Innovative Research Team (Grant No. 2022TD-01).
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Qiu, W., Li, Yl., Wen, Lf. et al. Refined mathematical model for the breaching of concrete-face sand-gravel dams due to overtopping failure. J. Mt. Sci. 20, 670–687 (2023). https://doi.org/10.1007/s11629-022-7490-7
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DOI: https://doi.org/10.1007/s11629-022-7490-7