Abstract
Rocky landslides on river banks can result in the generation of ultra-high waves, which may destroy structures on the opposite bank. Existing methods to calculate the pressure on bank slopes under the effect of impulse waves generated by landslides are, however, few and of low precision. Therefore, in this study, a three-dimensional physical model test was conducted by taking into account factors such as landslide geometry parameters and the bank slope angle. The model test section was generalized on the basis of a certain section of the Three Gorges reservoir area as a prototype, after which the wave parameters and wave pressure acting on the bank slope were measured. Subsequently, the magnitude, acting point, and distribution of the pressure of the impulse waves generated by the rocky landslide upon the bank slope were determined. The distribution curve of the impact pressure was similar to that calculated using the CHиП II 57–75 formula, and the experimental pulsating pressure value was close to the value calculated using the Subgrade formula. Based on the test results, a power function of the relative pulsating pressure steepness with respect to the reciprocal of the wave steepness, relative water depth, and slope ratio was proposed. The acting point of the maximum pulsating pressure was found to be located near the still water level. Finally, an empirical formula for calculating the envelope of the maximum pulsating pressure distribution curve was proposed. These formulas can serve as a theoretical basis for the prediction of impulse wave pressure generated owing to landslides on bank slopes.
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References
Ataie-Ashtiani B, Shobeyri G (2008) Numerical simulation of landslide impulsive waves by incompressible smoothed particle hydrodynamics. Int J Numer Methods Fluids 56(2):209–232. https://doi.org/10.1002/fld.1526
Bullock GN, Obhrai C, Peregrine DH, et al. (2007) Violent breaking wave impacts.Part1 Results from large-scale regular wave tests on vertical and sloping walls. Coast Eng 54(8): 602–617. https://doi.org/10.1016/j.coastaleng.2006.12.002
Chen L (2014) Experimental Study on Characteristics of Rock-Type Landslide Surge and Impact for Navigable Conditions of the River-Channel Type Reservoir in Mountainous Area. PhD thesis, Chongqing Jiaotong University. p 56. (In Chinese)
Cheng ZY, Wang PY, Yang CY, et al. (2018) Control mode of waterway traffic under dangerous mountain landslide conditions. J Southwest Jiaotong Univ 53(04): 748–755. (In Chinese) https://doi.org/10.3969/j.issn.0258-2724.2018.04.012
De Lange SI, Santa N, Pudasaini SP, et al. (2019) Debris-flow generated tsunamis and their dependence on debris-flow dynamics. Coastal Eng 157: 103623. https://doi.org/10.1016/j.coastaleng.2019.103623
Deng CJ, Dang FN, Chen XZ (2019) Study on the surge wave propagation in the reservoir area and its interaction mechanism with the dam. J Water Resour 50(07): 815–823. (In Chinese) https://doi.org/10.13243/j.cnki.slxb.20190113
Du BH (2006) Tanyanguang Landslide of Zhexi Reservoir: The first large-scale landslide occurred at early stage of impoundment in China. Proceedings of the 2nd National Geotechnical and Engineering Conference, Wuhan, Hubei, China. pp 928–932. (In Chinese)
Führböter A (1986) Model and prototype tests for wave impact and run-up on a uniform 1:4 slope. Coast Eng 10(1): 49–84. https://doi.org/10.1016/0378-3839(86)90039-6
Führböter A, Sparboom U (1988) Shock pressure interaction on prototype sea dikes caused by breaking waves. Proceedings of the International Symposium on Modeling Soil-Water-Structure Interactions, Rotterdam, Netherlands. pp 243–252.
First Survey Design Institute China Railways. Technical Manual for Railway Engineering Design [Subgrade] (1992) Beijing: China Railway Publishing House. (In Chinese)
Fritz HM (2002) initial phase of landslide generated impulse waves. Switzerland: Zurich.
Heller V (2007) Landslide Generated Impulse Waves—Prediction of Near Field Characteristics. Ph.D thesis, ETH Zurich, Zurich. p 23.
Huang BL, Wang SC, Zhao YB (2017) Impulse waves in reservoirs generated by landslides into shallow water. Coastal Eng 123: 52–61. https://doi.org/10.1016/j.coastaleng.2017.03.003
Huang BL, Yin YP, Du CL (2016) Risk management study on impulse waves generated by Hongyanzi landslide in Three Gorges Reservoir of China on June 24, 2015. Landslides 13(3): 603–616. https://doi.org/10.1007/s10346-016-0702-x
Huang BS (1991) Study on impulsive pressure of wave on waterproof slope surface. J Chongqing Jiaotong Inst. (02): 84–93. (In Chinese)
Jiang ZY, Pan BX, Huang BS (1998) Experimental investigation on impacting pressure of waves on slope pavement. Port Eng (01): 22–27. (In Chinese)
Kirkgöz MS (1995) Breaking wave impact on vertical and sloping coastal stuctures. Ocean Eng 22(1): 35–48. https://doi.org/10.1016/0029-8018(93)E0006-E
Li J, Chen JY, Xu Q, Sun X (2018) Study on the influence factors of landslide surge wave on the impact pressure on dam’s surface. J Water Resour. 49(02): 232–240. (In Chinese). https://doi.org/10.13243/j.cnki.slxb.20170692
Lindstrøm EK (2016) Waves generated by subaerial slides with various porosities. Coastal Eng 116. https://doi.org/10.1016/j.coastaleng.2016.07.001
Mcfall BC, Fritz HM (2016) Physical modeling of tsunamis generated by three-dimensional deformable granular landslides on planar and conical island slopes. Proc Math Phys Eng 472(2188), 20160052. https://doi.org/10.1098/rspa.2016.0052
McFall BC, Mohammed F, Fritz HM, et al. (2018) Laboratory experiments on three-dimensional deformable granular landslides on planar and conical slopes. Landslides 15(9). https://doi.org/10.1007/s10346-018-0984-2
Meng LW, Cheng GL, Luo XY, et al (2018) Experimental investigation of ship-induced seabed seismic wave in shallow water. J Harbin Eng Univ 39(02): 384–391. (In Chinese) https://doi.org/10.11990/jheu.201607060
Ministry of Water Resources of the People’s Republic of China (2013) Code for design of levee project (GB20286-2013), Beijing. (In Chinese)
Ministry of Water Resources of the People’s Republic of China (2014) Code for design of see dike project (GB/T51015-2014), Beijing. (In Chinese)
Ministry of Water Resources of the People’s Republic of China (2016) Specification for load design of hydraulic structure (SL 744–2016), Beijing. (In Chinese)
Mohammed F, Fritz HM (2012) Physical modeling of tsunamis generated by three-dimensional deformable granular landslides. J Geophys Res 117(C11): C11015. https://doi.org/10.1029/2011JC007850
Mu P, Wang PY, Han LF, et al. (2020)The propagation of landslide-generated impulse waves and their impacts on the moored ships: an experimental investigation. Adv Civ Eng 2020(1), 1–13. https://doi.org/10.1155/2020/6396379
Najafi-Jilani A, Ataie-Ashtiani B (2008) Estimation of near-field characteristics of tsunami generation by submarine landslide. Ocean Eng 35(5–6): 545–557. https://doi.org/10.1016/j.oceaneng.2007.11.006
Neelamani S, Schüttrumpf H, Muttray M, et al. (1999) Prediction of wave pressures on smooth impermeable seawalls. Ocean Eng 26(8): 739–765. https://doi.org/10.1016/S0029-8018(98)00026-2
Neelamani S (1999) Subareal wave pressures, layer thickness, run-up and run-down velocity on sea walls. Indian J Mar Sci 34(3): 299–309. https://doi.org/10.1016/j.icesjms.2005.07
Pan SH, Translation (1986) Waves, Ice And Ships on Hydraulic Structures Load Effect. Soviet norms (CHИП II). Ocean Press. (In Chinese).
Rita Fernandes de Carvalho, José S. Antunes do Carmo (2006) Numerical and experimental modelling of the generation and propagation of waves caused by landslides into reserviors and their effects on dams. In: River Flow, Balkema. pp 483–492.
Rita Fernandes de Carvalho, José S (2007) Antunes do Carmo. Landslides into reservoirs and their impacts on banks. Environ Fluid Mech 7(6): 481–493. https://doi.org/10.1007/s10652-007-9039-2
Romano A, Di Risio M, Bellotti G, et al. (2016) Tsunamis generated by landslides at the coast of conical islands: experimental benchmark dataset for mathematical model validation. Landslides 13(6): 1–15. https://doi.org/10.1007/s10346-016-0696-4
Silvia B, Marco P (2011) Shallow water numerical model of the wave generated by the Vajont landslide. Environ Modell Softw 26:406–418. https://doi.org/10.1016/j.envsoft.2010.10.001
Stagonas, D, Muller, G, Ramachandran, K, et al. (2012) Distribution of impact induced pressures at the face of uniformly sloped sea dikes: preliminary 2d experimental results. In: Proc. 33rd Conf. Coastal Engineering, Santander, Spain. 1(33). https://doi.org/10.9753/icce.v33.structures.74
Stanczak G (2009) Sea Dike Breaching Initiated by Breaking Wave Impact-Preliminary Computational Model. TU Braunschweig report number: T06-09-04.
Tan JM, Huang BL, Zhao YB (2019) Pressure characteristics of landslide-generated impulse waves. J Mt Sci 16(8): 1774–1787. https://doi.org/10.1007/s11629-018-5307-5
Wang PY, Han LF, Yu T (2016) Effects of landslide generated impulse waves on ship impact force for pile wharf. J Harbin Eng Univ 37(06): 878–884. (In Chinese) https://doi.org/10.11990/jheu.201503032
Xu JQ (2005) Study on the wave force on the slope. Chongqing: Chongqing Jiaotong University. (In Chinese)
Xu JQ, Yang CY, Cai XY, et al. (2005) Study on the forward incident wave force on the slope. J Hydrodyn Ser A 20(3): 357–362. https://doi.org/10.3969/j.issn.1000-4874.2005.03.012
Xu WJ, Yao ZG, Luo YT, et al. (2020) Study on landslide-induced wave disasters using a 3D coupled SPH-DEM method. Bull Eng Geol Environ 79: 467–48. https://doi.org/10.1007/s10064-019-01558-3
Yuan PY, Wang PY, Zhao Y, et al. (2019) Experimental Study on Nonlinear Motion of Sailing Ship in landslide-Induced Surge in Reservoir. J Ship Build china 60(02): 176–185. (In Chinese)
Yuan PY, Wang PY, Zhao Y (2019) Model test research on the propagation of tsunamis and their interaction with navigating ships. Appl Sci 9(3): 475. https://doi.org/10.3390/app9030475
Yuan PY, Wang PY, Zhao Y (2020). Study on the steepness of landslide-induced wave and nonlinear motion of container ships. Appl Sci 10(6): 2159. https://doi.org/10.3390/app10062159
Yang X (2017) Study on slamming pressure calculation formula of plunging breaking wave on sloping sea dike. Int J Nav Arch Ocean 9(4): 439–445. https://doi.org/10.1016/j.ijnaoe.2016.11.008
Zhao YB (2018) Experimental research of landslide induced wave in shallow water area. MD thesis, Beijing: China University of Geosciences. p 31. (In Chinese)
Zhong HH (1985) Influence of slope angle on maximum wave pressure. J East China Inst Water Conserv (01): 142–154. (In Chinese) https://doi.org/10.3321/j.issn:1000-1980.1985.01.015
Zhou ZL (2009) Coastal Dynamics. Fourth Edition. Beijing: China Communications Press. pp51–54.
Zu FX, Wang PY, Xu JQ, et al. (2017) Experimental Study on Propagation and Attenuation Regularity of Landslide Surge. Sains Malays 46(11): 2061–2074. https://doi.org/10.17576/jsm-2017-4611-06
Acknowledgment
The authors gratefully acknowledge financial support from the National Natural Science Foundation of China (Grant No. 51479015), the Chongqing Research Program of Basic Research and Frontier Technology (Grant No.cstc2017 jcyjBX0070), the Chongqing Science and Technology Commission of China (Grant No. cstc2017jcyjA1642), the Technology innovation and application demonstration project in Chongqing (Grant No. cstc2018jscx-msyb0328), the Chongqing, the Chongqing Municipal Education Commission of China (Grant No.KJ1705123), the China Postdoctoral Science Foundation funded project (Grant No.2019M663890XB), Chongqing Postdoctoral Science Foundation funded project (Grant No. 228512), Chongqing Municipal Education Commission Effects of Global Warming on Extreme Weather Events in Chongqing (Grant No. KJQN201800711), Chongqing Municipal Education Commission Project (Grant No. KJQN202000747).
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Cao, T., Wang, Py., Qiu, Zf. et al. Influence of impulse waves generated by rocky landslides on the pressure exerted on bank slopes. J. Mt. Sci. 18, 1159–1176 (2021). https://doi.org/10.1007/s11629-020-6076-5
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DOI: https://doi.org/10.1007/s11629-020-6076-5