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| Research on the mechanism of impulse wave generated by the collapse of granular column |
| HUANG Bolin,WANG Jian |
| (Hubei Key Laboratory of Disaster Prevention and Mitigation,China Three Gorges University,Yichang,Hubei 443002,China) |
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Abstract There are usually columnar dangerous rock masses in the cliff coastline near the bank,which will generate catastrophic impulse wave when it fails with disintegration and plunges into the water. In this study,11 groups of physical experiments were carried out on the basis of PIV technology. For the first time,the coupled motion vector process of avalanche particles and water body was shown. The data and pictures of the tests were analyzed by the methods of phenomenon analysis,theoretical formula verification and data regression. The test results showed that the pushment of particles at the bottom was the main way to cause the water body to form wave upward and outward. The higher the column was,the bigger maximum impulse wave was. The time of the generation of maximum impulse wave was earlier than the time of the stop of the collapse. The final potential energy loss rate of granular column was about 37%–75%. There were two types of waves generated by the collapse of the granular column,i.e. the translation wave and the transition wave,among which the solitary wave form was in good agreement with KdV?s theoretical solution:the average deviation error was only 5.4%. There existed a “saturation” phenomenon for the maximum amplitude of impulse wave. The critical shape coefficient a was 5,that is to say,the amplitude of wave generated was basically kept unchanged when a ≥ 5. Therefore,the step prediction functions of the maximum amplitude were discussed by nonlinear regression,the percentage of difference between predicted value and experimental value was about 0.03%–6.7%. These functions are more suitable for the prediction of the impulse wave generated by the buckling collapse of the granular column. This study can provide technical support for the hazard prevention and mitigation of columnar dangerous rock mass in reservoir area or coastline.
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| [1] HUANG B L,CHEN L d,PENG X M,et al. Assessment of the risk of rockfalls in Wu Gorge,Three Gorges,China[J]. Landslides,2010,7(1):1–11.
[2] HOLSAPPLE K A. Modeling granular material flows:the angle of repose,fluidization and the cliff collapse problem[J]. Planetary and Space Science,2013,82–83:11–26.
[3] GRIMSTAD E,NESDAL S. The Loen rockslides:a historical review[C]∥ Proceedings of the International Symposium on Rock Joints. [S.l.]:[s.n.],1991:1–6.
[4] 黄波林,刘广宁,王世昌 等.三峡库区高陡岸坡成灾机理研究[M]. 北京:科学出版社,2015:163–176.(HUANG BoLin,LIU Guangning,WANG SiChang,et al. Study on the hazard mechanism of high and steep bank slope in the Three Gorges Reservoir Area[M]. Beijing:Science Press, 2015:163–176.(in Chinese))
[5] 贺 凯,殷跃平,李 滨,等. 塔柱状岩体崩塌运动特征分析[J]. 工程地质学报,2015,23(1):86–92. (HE Kai,YIN Yuepeng,LI Bin,et al. Video imaged based analysis of motion characteristic for tower rock collapse[J]. Journal of Engineering Geology,2015,23(1):86–92.(in Chinese))
[6] HUNG B.L,WANG J,ZHANG Q,et al. Energy conversion and deposition behaviour in gravitational collapse of granular columns[J]. Journal of Mountain Science,2020,17(1):216–229.
[7] HSU K J. Catastrophic debris streams (sturzstroms) generated by rockfalls[J]. Bulletin of the Seismological Society of America,1975,86:129–140.
[8] IVERSON R M. The physics of debris flows[J] Reviews of Geophysics,1997,35(3):245–296
[9] 孙其诚,王光谦. 颗粒流动力学及其离散模型评述[J]. 力学进展,2008,(1):87–100. (SUN Qicheng,Wang Guangqian. Review on granular flow dynamics and its discrete element method[J]. Advances in Mechanics,2008,(1):87–100.(in chinese))
[10] LAJEUNESSE E,MANGENEY-CASTELNAU A,VILOTTE J P. Spreading of a granular mass on a horizontal plane[J]. Physics of Fluids,2004,16(7):2 371–2 381.
[11] LUBE G,HUPPERT H,SPARKS S,et al. Collapses of two dimensional granular columns[J]. Physical Review E,2005,72(4): 041301.
[12] SI P,SHI H,YU X. A general numerical model for surface waves generated by granular material intruding into a water body[J]. Coastal Engineering,2018,142:42–51.
[13] MONAGHAN J J,KOS A. Scott Russell's wave generator[J]. Physics of Fluids,2000,12(3):622–630.
[14] ROBBE-SAULE M,MORIZE,C,BERTHO Y,et al. Experimental study of wave generation by a granular collapse[C]∥EPJ Web of Conferences.[S. l.]:Powders and Grains,2017.
[15] XU W J,DONG X Y,DING W T. Analysis of fluid-particle interaction in granular materials using coupled SPH-DEM method[J]. Powder Technology,2019,353:459–472.
[16] RONDON L,POULIQUEN O,AUSSILLOUS P. Granular collapse in a fluid:Role of the initial volume fraction[J]. American Institute of Physics,2011,23(7):245–254.
[17] KUMAR K,DELENNE J Y,SOGA K. Mechanics of granular column collapse in fluid at varying slope angles[J]. Journal of Hydrodynamics,2017,29(4):529–541.
[18] VIROULET S,SAURET A,KIMMOUN O,et al. Tsunami waves generated by cliff collapse:comparison between experiments and triphasic simulations[M]. [S. l.]:Extreme Ocean Waves,Springer International Publishing Switzerland,2016:173–190.
[19] SAVAGE S B,BABAEI M H,DABROS T. Modeling gravitational collapse of rectangular granular piles in air and water[J]. Mechanics Research Communications,2014,56:1–10.
[20] RUSSELL J S. Report on waves[C]∥ Report of the 14th Meeting of the British Association for the Advancement of Science. New York:[s.n],1844:311–390.
[21] 陈小婷,王 健,黄波林,等. 库水位变动条件下柱状危岩体变形破坏机理[J]. 中国地质灾害与防治学报,2019,30(2):13–22. (CHEN Xiaoting,WANG Jian,HUANG Bolin et al. Deformation and failure mechanism of pillar-shaped dangerous rock mass under reservoir's water level fluctuation[J]. The Chinese Journal of Geological Hazard and Control,2019,30(2):13–22.(in Chinese))
[22] HUANG B L,ZHANG,Z H,YIN Y P,et al. A case study of pillar-shaped rock mass failure in the Three Gorges Reservoir Area,China[J]. Quarterly Journal of Engineering Geology and Hydrogeology,2016,49(3):195–202.
[23] FRITZ H M,HAGER W H,MINOR H E. Landslide generated impulse waves,landslide generated impulse waves-Hydrodynamic impact craters[J]. Experiments in Fluids,2003,35(6):520–532.
[24] 吴云岗,陶明德. 水波动力学基础[M]. 上海:复旦大学出版社,2011:80–103.(WU Yugang,TAO Mingde. Fundamentals of Water Wave Dynamics[M]. Shanghai:Fudan Press, 2011:80–103.(in Chinese))
[25] DEAN R G,DALRYMPER R A. Water wave mechanics for engineers and scientists[M]. Singapor:World scientific,1991:131–167.
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