|
|
|
| Effects of fractal particle size distribution on segregation of granular flows |
| LI Kun1,2,WANG Yufeng1,CHENG Qiangong1,2,3,LIN Xiaolong4 |
(1. Department of Geological Engineering,Southwest Jiaotong University,Chengdu,Sichuan 611756,China;2. Key Laboratory of High-speed Railway Engineering,Ministry of Education,Southwest Jiaotong University,Chengdu,Sichuan 610031,China;3. State-province Joint Engineering Laboratory of Spatial Information Technology for High-speed Railway Safety,Southwest Jiaotong University,Chengdu,Sichuan 611756,China;4. China Railway Academy Chengdu Co.,Ltd.,Chengdu,Sichuan 610032,China)
|
|
|
|
|
Abstract The inverse grading of high-speed and long-runout landslide deposits and its forming mechanisms are hot research topics currently. To further explore these issues,a series of experiments and numerical simulations were conducted to investigate the grain size distribution of the deposits and the corresponding segregation process of granular flows with different fractal dimensions based on the fractal particle size distribution of the deposits. The results show that with increasing the fractal dimension and the enrichment of the fine particles,the segregation process in the granular flow is weakened,resulting in a lower degree of inverse grading in the deposits. For granular flows with different compositions,the leading and tailing edges are highly dispersed,while the main bodies are densely packed with limited dispersion of particles on the flow surface. The formation of the inverse grading in the deposits is attributed to various segregation mechanisms. Based on the analysis,the requirements for segregation cannot be fully satisfied in the emplacement of high-speed and long-runout landslides except for local segregation process.
|
|
|
|
|
|
[1] HEIM A. Landslides and human lives[M]. Vancouver,B C:Bitech Publishers,1932:93–94.
[2] VARNES D J. Slope movement types and process[C]// SCHUSTER R L,KRIZEK R J ed. Landslides,analysis and control,special report. Washington,DC:National Academy of Sciences,1978:11–13.
[3] MCSAVENEY M J. Sherman Glacier rock avalanche,Alaska,U.S.A.[C]// VOIGHT B ed. Rockslides and Avalanches. Amsterdam,Netherland:Elsevier,1978:197–256.
[4] EVANS S G,GUTHRIE R H,ROBERT N J,et al. The disastrous 17 February 2006 rockslide-debris avalanche on Leyte Island,Philippines:a catastrophic landslide in tropical[J]. Natural Hazards and Earth System Sciences,2007,7(1):89–101.
[5] DUFRESNE A,DAVIES T R. Longitudinal ridges in mass movement deposits[J]. Geomorphology,2009,105:171–181.
[6] XU Q,SHANG Y J,ASCH T V,et al. Observations from the large,rapid Yigong rock slide-debris avalanche,Southeast Tibet[J]. Canadian Geotechnical Journal,2009,49(5):589–606.
[7] WANG Y F,CHENG Q G,LIN Q W,et al. Insights into the kinematics and dynamics of the Luanshibao rock avalanche(Tibetan Plateau,China) based on its complex surface landforms[J]. Geomorphology,2018,317:170–183.
[8] STROM A L. Rockslides and rock avalanches of Central Asia:distribution,morphology,and internal structure[M]. Netherlands:Elsevier,2018:111–331.
[9] FRIEDMANN S J. Rock-avalanche elements of the Shadow Valley basin,eastern Mojave Desert,California: processes and problems[J]. Journal of Sediment Research,1997,67(5):792–804.
[10] CROSTA G B,FRATTINI P,FUIS N. Fragmentation in the Val Pola rock avalanche,Italian Alps[J]. Journal of Geophysical Research,2007,112:F01006,DOI:10.1029/2005JF000455.
[11] 王玉峰,程谦恭,朱 圻. 汶川地震触发高速远程滑坡–碎屑流堆积反粒序特征及机制分析[J]. 岩石力学与工程学报,2012,31(6):1 089–1 106.(WANG Yufeng,CHENG Qiangong,ZHU Qi. Inverse grading analysis of deposit from rock avalanches triggered by Wenchuan earthquake[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(6):1 089–1 106.(in Chinese))
[12] HUNGR O,EVANS S G,BOVIS M J. A review of the classification of landslides of the flow type[J]. Environmental and Engineering Geoscience,2001,7(3):221–238.
[13] SAVAGE S B,LUN C K K. Particle size segregation in inclined chute flow of dry cohesionless granular solids[J]. Journal of Fluid Mechanics,1988,199:177–215.
[14] GRAY J M N T. Particle segregation in dense granular flows[J]. The Annual Review of Fluid Mechanics,2017,50(1):407–433.
[15] BAGNOLD R A. Experiments on a gravity-free dispersion of large solid spheres in a Newtonian fluid under shear[J]. Mathematical and Physical Sciences,1954,225(1160):49–63.
[16] MIDDLETON G V. Experimental studies related to the problems of flysch sedimentation[J]. Geological Association of Canada,1970,Special Paper 7:253–269.
[17] CRUDEN D M,HUNGR O. The debris of the Frank slide and theories of rockslide-avalanche mobility[J]. Canadian Journal of Earth Sciences,1986,23(3):425–432.
[18] LUZIO E D,BIACHI-FASANI G,ESPOSITO C,et al. Massive rock-slope failure in the Central Apennines(Italy):the case of the Campo di Giove rock avalanche[J]. Bulletin of Engineering Geology and the Environment,2004,63(1):1–12.
[19] ZHANG M,YIN Y P,MCSAVENEY M. Dynamics of the 2008 earthquake-triggered Wenjiagou Creek rock avalanche,Qingping,Sichuan,China[J]. Engineering Geology,2016,200:75–87.
[20] DUNNING S A. Rock avalanche in high mountains[Ph. D. Thesis][D]. UK:University of Luton,2004.
[21] DUFRESNE A,BOSMEIER A,PRAGER C. Sedimentology of rock avalanche deposits-Case study and review[J]. Earth-Science Reviews,2016,163:234–259.
[22] ZHANG M,MCSAVENEY M J. Rock avalanche deposits store quantitative evidence on internal shear during runout[J]. Geophysical Research Letters,2017,44(17),DOI:10.1002/2017GL073774.
[23] DAVIES T R H,MCSAVENEY M J,HODGSON K A. A fragmentation spreading model for long-runout avalanches[J]. Canadian Geotechnical Journal,1999,36(6):1 096–1 110.
[24] DENLINGER R P,IVERSON R M. Flow of variably fluidized granular masses across three-dimensional terrain 2. Numerical predictions and experimental tests[J]. Journal of Geophysical Research B: Solid Earth,2001,106(B1):553–566.
[25] IVERSON R M,LOGAN M,DENLINGER R P. Granular avalanches across irregular three-dimensional terrain:2. Experimental tests[J]. Journal of Geophysical Research,2004,109:F01015,DOI:10.1029/2003JF000084.
[26] MANZELLA I,LABIOUSE V. Flow experiments with gravel and blocks at small scale to 957 investigate parameters and mechanisms involved in rock avalanches[J]. Engineering Geology,2009,109:146–158.
[27] CAGNOLI B,ROMANO G P. Effect of grain size on mobility of dry granular flows of 813 angular rock fragments:An experimental determination[J]. Journal of Volcanology and Geothermal Research,2010,193(1):18–24.
[28] WANG Y F,XU Q,CHENG Q G,et al. Spreading and deposit characteristics of a rapid dry granular avalanche across 3D topography:experimental study[J]. Rock Mechanics Rock Engineering,2016,49:4 349–4 370.
[29] 樊晓一,杨海龙,田述军,等. 滑坡碎屑流运动参数与影响因素敏感度研究[J]. 山地学报,2016,34(6):724–731.(FAN Xiaoyi,YANG Hailong,TIAN Shujun,et al. Susceptibility degree of factors influence on the movement parameters of landslide-debris avalanches[J]. Mountain Research,2016,34(6):724–731.(in Chinese))
[30] SHEA T,VAN WYK DE VRIES B. Structural analysis and analogue modeling of the kinematics and dynamics of rockslide avalanches[J]. Geosphere,2008,4(4):657–686.
[31] JOHNSON C G,KOKELAAR B P,IVERSON R M,et al. Grain-size segregation and levee formation in geophysical mass flows[J]. Journal of Geophysical Research,2012,117:F01032. DOI:10.1029/2011JF002185.
[32] LONGCHAMP C,ABELLAN A,JABOYEDOFF M,et al. 3-D models and structural analysis of analogue rock avalanche deposits:a kinematic analysis of the propagation mechanism[J]. Earth Surface Dynamics,2015,3:1 255–1 288.
[33] 郝明辉,许 强,杨兴国,等. 高速滑坡 – 碎屑流颗粒反序试验及其成因机制探讨[J]. 岩石力学与工程学报,2015,34(3):472–479.(HAO Minghui,XU Qiang,YANG Xingguo,et al. Physical modeling tests on inverse grading of particles in high speed landslide debris[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(3):472–479.(in Chinese))
[34] 陆鹏源,侯天兴,杨兴国,等. 滑坡冲击铲刮效应物理模型试验及机制探讨[J]. 岩石力学与工程学报,2016,35(6):1 225–1 232.(LU Pengyuan,HOU Tianxing,YANG Xingguo,et al. Physical modeling test for entrainment effect of landslides and the related mechanism discussion[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(6):1 225–1 232.(in Chinese))
[35] BANTON J,VILLARD P,JONGMANS D,et al. Two-dimensional discrete element models of debris avalanches:Parameterization and the reproducibility of experimental results[J]. Journal of Geophysical Research-Earth Surface,2009,114(4):13–15.
[36] 来志强,周 伟,杨利福,等. 基于离散单元法的溜砂坡堆积形态数值研究[J]. 中南大学学报:自然科学版,2017,48(7):1 839–1 848. (LAI Zhiqiang,ZHOU Wei,YANG Lifu,et al. Numerical study of accumulation state for sand-sliding slope based on distinct element method[J]. Journal of Central South University:Science and Technology,2017,48(7):1 839–1 848.(in Chinese))
[37] 李祥龙,唐辉明,熊承仁,等. 基底铲刮效应对岩石碎屑流停积过程的影响[J]. 岩土力学,2012,33(5):1 527–1 534.(LI Xianglong,TANG Huiming,XIONG Chengren,et al. Influence of substrate ploughing and erosion effect on process of rock avalanche[J]. Rock and Soil mechanics,2012,33(5):1 527–1 534.(in Chinese))
[38] 毕钰璋,何思明,李新坡,等. 约束条件下粗细混合颗粒动力机理分析[J]. 岩土工程学报,2016,38(3):529–536.(BI Yuzhang,HE Siming,LI Xinpo,et al. Kinetic mechanism of mixed particles under constraint conditions[J]. Chinese Journal of Geotechnical Engineering,2013,4(1):529–536.(in Chinese))
[39] SAMMIS C,KING G,BIEGEL R. The kinematics of gouge deformation[J]. Pure and Applied Geophysics,1987,125(5):777–812.
[40] DUFRESNE A,DUNNING S A. Process dependence of grain size distributions in rock avalanche deposits[J]. Landslides,2017,14:1 555–1 563.
[41] HUTTER K,PLÜSS C,SAVAGE B. The dynamics of avalanches of granular materials from initiation to runout. Part II. Experiments[J]. Acta Mechanica,1995,109:127–165.
[42] HOOKE R L,IVERSON N R. Grain-size distribution in deforming subglacial tills:role of grain fracture[J]. Geology,1995,23(1):57–60.
[43] 季顺迎,孙其诚,严 颖. 颗粒物质剪切流动的类固-液转化特性及相变图的建立[J]. 中国科学:物理学,力学,天文学,2011,41(9):1 112–1 125.(JI Shunying,SUN Qicheng,YAN Ying. Characteristics in quasi-solid-liquid phase transition of granular shear flow and its phase diagram[J]. Scientia Sinca:Physica,Mechanica and Astronomica,2011,41(9):1 112–1 125.(in Chinese))
[44] DASGUPTA P,MANNA P. Geometrical mechanism of inverse grading in grain-flow deposits:an experimental revelation[J]. Earth-Science Reviews,2011,104:186–198.
[45] 周公旦,孙其诚,崔 鹏. 泥石流颗粒物质分选机理和效应[J]. 四川大学学报:工程科学版,2013,4(1):28–36.(ZHOU Gongdan,SUN Qicheng,CUI Peng. Study on the mechanisms of solid segregation in granular debris flows[J]. Journal of Sichuan University:Engineering Science Edition,2013,4(1):28–36.(in Chinese))
[46] ZHOU G D,SUN Q C. Three-dimensional numerical study on flow regimes of dry granular flows by DEM[J]. Powder Technology,2013,239:115–127.
[47] LAI Z Q,VALLEJO L E,ZHOU W,et al. Collapse of granular columns with fractal particle size distribution:implications for understanding the role of small particles in granular flows[J]. Geophysical Research Letters,2017,44(6),12 181–12 189.
[48] THOMAS N. Reverse and intermediate segregation of large beads in dry granular media[J]. Physical Review E,2000,62(1):961–974.
[49] VAN DER VAART K,GAJJAR P,EPELY-CHAUVIN G,et al. Underlying asymmetry within particle size segregation[J]. Physical Review Letters,2015,114:238001.
[50] FELIX G,THOMAS N. Evidence of two effects in the size segregation process in a dry granular media[J]. Physical Review E,2004,70(1):051307.
[51] HUNGR O,MORGENSTERN N R. Experiments on the flow behavior of granular materials at high velocity in an open channel[J]. Géotechnique,1984,34(3):405–413.
|
|
|
|