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On the role of sphericity of falling rock clusters—insights from experimental and numerical investigations

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Abstract

In this study, the dynamic behavior of rock clusters falling on rough slopes and impacting a vertical barrier is investigated experimentally and numerically using discrete element analysis. A specially designed laboratory setup that involves a flume of adjustable slope lined with a bumpy surface and equipped with an instrumented wall at the toe is used in the experimental investigation. The velocity profiles and impact forces were measured for three inclination angles using two different rock clusters. Three-dimensional discrete element analysis is then conducted to investigate the mechanical behavior of the rockfall and examine the role of sphericity of the rock cluster on the overall behavior of the system. This was achieved by explicitly simulating the complex shapes of the used rocks and the rough surface of the slope. The material coefficient of friction was measured using heap tests, and the results are compared with those obtained numerically using four different particle sphericities. Conclusions are made regarding the effect of slope inclination angle and the volume of the cluster on the impact forces exerted on rigid barriers. This study suggests that rock sphericity plays important roles on the dynamic behavior of the system and should be taken into consideration in simulating rockfall problems.

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References

  • Agliardi F, Crosta GB (2003) High resolution three-dimensional numerical modelling of rockfalls. Int J Rock Mech Min Sci 40:455–471

    Article  Google Scholar 

  • Ahmed MR, Tran VDH, Meguid MA (2015) On the role of geogrid reinforcement in reducing earth pressure on buried pipes: experimental and numerical investigations. Soils Found 55(3):588–599

    Article  Google Scholar 

  • Albaba A, Lambert S, Nicot F, Chareyre B (2015) Relation between microstructure and loading applied by a granular flow to a rigid wall using DEM modeling. Granul Matter 17:603

    Article  Google Scholar 

  • Alejano L, Pons B, Bastante F, Alonso E, Stockhausen H (2007) Slope geometry design as a means for controlling rockfalls in quarries. Int J Rock Mech Min Sci 44:903–921

  • Asteriou P, Saroglou H, Tsiambaos G (2012) Geotechnical and kinematic parameters affecting the coefficients of restitution for rock fall analysis. Int J Roc Mech Min Sci 54:103–113

    Google Scholar 

  • Azzoni A, Barbera GL, Zaninetti A (1995) Analysis and prediction of rockfalls using a mathematical model. Int J Rock Mech Min Sci 32:709–724

    Article  Google Scholar 

  • Basson FRP (2012) Rigid body dynamics for rock fall trajectory simulation. American Rock Mechanics Association 12–267

  • Blott SJ, Pye K (2008) Particle shape: a review and new methods of characterization and classification. Sedimentology 55(1):31–63

    Google Scholar 

  • Bozzolo D, Lugano PR (1986) Simulation of rock falls down a valley side. Acta Mech 63(1–4):113–130

    Article  Google Scholar 

  • Chai B, Tang Z, Zhang A, Du J, Su H, Yi H (2015) An uncertainty method for probabilistic analysis of buildings impacted by rockfall in a limestone quarry in Fengshan, Southwestern China. Rock Mech Rock Eng 48:1981–1996

    Article  Google Scholar 

  • Chau KT, Wong RHC, Wu JJ (2002) Coefficient of restitution and rotational motions of rockfall impacts. Int J Rock Mech Min Sci 39:69–77

    Article  Google Scholar 

  • Chen G, Zheng L, Zhang Y (2013) Numerical simulation in rockfall analysis: a close comparison of 2-D and 3-D DDA. Rock Mech Rock Eng 46(3):527–541

    Article  Google Scholar 

  • Cho N, Martin CD, Sego DC (2007) A clumped particle model for rock. Int J Rock Mech Min Sci 44:997–1010

    Article  Google Scholar 

  • Dorren LKA, Maier B, Putters US, Seijmonsbergen AC (2004) Combining field and modelling techniques to assess rockfall dynamics on a protection forest hillslope in the European Alps. Geomorphology 57:151–167

    Article  Google Scholar 

  • Dussauge C, Grasso JR, Helmstetter A (2003) Statistical analysis of rockfall volume distribution: implications for rockfall dynamics. J Geophys Res Solid Earth 108:ETG2.1–ETG2.11

    Article  Google Scholar 

  • Erismann TH (1986) Flowing, rolling, bouncing, sliding, synopsis of basic mechanisms. Acta Mech 64:101–110

    Article  Google Scholar 

  • Ferellec JF, McDowell G (2010) A method to model realistic particle shape and inertia in DEM. Granul Matter 12:459–467

    Article  Google Scholar 

  • Giani GP, Migliazza M, Segalini A (2004) Experimental and theoretical studies to improve rock fall analysis and protection work design. Rock Mech Rock Eng 37(5):369–389

    Article  Google Scholar 

  • Glover J (2015) Rock-shape and its role in rockfall dynamics. PhD thesis. Durham University, Old Elvet, Durham

  • Guzzetti F, Crosta G, Detti R, Agliardi F (2002) STONE: a computer program for the three-dimensional simulation of rock-falls. Comput Geosci 28(9):1081–1095

    Article  Google Scholar 

  • Hantz D, Vengeon JM, Dussauge-Peisser C (2003) An historical, geomechanical and probabilistic approach to rock-fall hazard assessment. Nat Hazards Earth Syst Sci 3(6):693–701

    Article  Google Scholar 

  • Indraratna B, Thakur PK, Vinod JS (2010) Experimental and numerical study of railway ballast behavior under cyclic loading. Int J Geomech 10(4):136–144

    Article  Google Scholar 

  • Indraratna B, Ngo NT, Rujikiatkamjorn C, Vinod J (2014) Behavior of fresh and fouled railway ballast subjected to direct shear testing: discrete element simulation. Int J Geomech 14(1):34–44

    Article  Google Scholar 

  • Itasca Consulting Group. (2014). Particle flow code in three dimensions (PFC3D). Minneapolis

  • Krumbein W (1941) Measurement and geological significance of shape and roundness of sedimentary particles. J Sediment Petrol 11:64–72

    Article  Google Scholar 

  • Lambert S, Bourrier F, Toe D (2013) Improving three-dimensional rockfall trajectory simulation codes for assessing the efficiency of protective embankments. Int J Min Sci Rock Mech 60:26–36

    Google Scholar 

  • Li H, McDowell GR, Lowndes IS (2012) A laboratory investigation and discrete element modeling of rock flow in a chute. Powder Technol 229:199–205

    Article  Google Scholar 

  • Lo CY, Bolton MD, Cheng YP (2010) Velocity fields of granular flows down a rough incline: a DEM investigation. Granul Matter 12:477–482

    Article  Google Scholar 

  • Lu M, McDowell GR (2010) Discrete element modelling of railway ballast under monotonic and cyclic triaxial loading. Géotechnique 60(6):459–467

  • Mateos RM, García-Moreno I, Reichenbach P, Herrera G, Sarro R, Rius J, Aguiló R, Fiorucci F (2016) Calibration 30 and validation of rockfall modeling at regional scale: application along a roadway in Mallorca (Spain) and organization of its management. Landslides 13:751–763

    Article  Google Scholar 

  • Mavrouli O, Giannopoulos PG, Carbonell JM, Syrmakezis C (2017) Damage analysis of masonry structures subjected to rockfalls. Landslides 14(3):891–904

  • McDowell G, Li H, Lowndes I (2011) The importance of particle shape in discrete element modelling particle flow in a chute. Geotechnique Lett 1(3):59–64

    Article  Google Scholar 

  • Meguid MA, Hussein MG, Ahmed MR, Omeman Z, Whalen J (2017) Investigation of soil-geosynthetic-structure interaction associated with induced trench installation. Geotext Geomembr. doi:10.1016/j.geotexmem.2017.04.004

  • Okura Y, Kitahara H, Sammori T, Kawanami A (2000) The effects of rockfall volume on runout distance. Eng Geol 58(2):109–124

    Article  Google Scholar 

  • Perera S, Lam N, Pathirana M, Zhang L, Ruan D, Gad E (2016) Deterministic solutions for contact force generated by impact of windborne debris. Int J Impact Eng 91:126–141

    Article  Google Scholar 

  • Pichler P, Hellmich C, Mang H (2005) Impact of rocks onto gravel: design and evaluation of experiments. J Impact Eng 31:559–557

    Article  Google Scholar 

  • Potyondy DO, Cundall PA (2004) A bonded-particle model for rock. Int J Rock Mech Min Sci 41(8):1329–1364

    Article  Google Scholar 

  • Ritchie AM (1963) Evaluation of rock fall and its control. Highway Res. Rec. 17, HRB, National Research Council, Washington, pp 13–28

    Google Scholar 

  • Spadari M, Giacomini A, Buzzi O, Fityus S, Giani GP (2012) In situ rockfall testing in New South Wales, Australia. Int J Rock Mech Min 49:84–93

  • Stahl M, Konietzky H (2011) Discrete element simulation of ballast and gravel under special consideration of grain-shape, grain-size and relative density. Granul Matter 13(4):417–428

    Article  Google Scholar 

  • Taghavi R (2011) Automatic clump generation based on mid-surface. Int. Conf. on Continuum and Distinct Element Numerical Modeling in Geomechanics, vol 1. Melbourne

  • Tagliavini F, Reichenbach P, Maragna D, Guzzetti F, Pasuto A (2009) Comparison of 2-D and 3-D computer models for the M. Salta rock fall, Vajont Valley, northern Italy. GeoInformatica 13:323–337

    Article  Google Scholar 

  • Thoeni K, Giacomini A, Lambert C, Sloan SW, Carter JP (2014) A 3D discrete element modelling approach for rockfall analysis with drapery systems. Int J Rock Mech Min Sci 68:107–119

    Google Scholar 

  • Wadell H (1932) Volume shape and roughness of rock particles. J Geol 40:443–451

    Article  Google Scholar 

  • Wang B, Cavers DS (2008) A simplified approach for rockfall ground penetration and impact stress calculations. Landslides 5(3):305–310

    Article  Google Scholar 

  • Wang IT, Lee CY (2010) Influence of slope shape and surface roughness on the moving paths of a single rockfall. World Acad Sci Eng Technol 65:1021–1027

    Google Scholar 

  • Wei LW, Chen H, Lee CF, Huang WK., Lin ML, Chi CC, Lin, HH (2014) The mechanism of rockfall disaster: A case study from Badouzih, Keelung, in northern Taiwan. Eng Geol 183:116–126

  • Wensrich CM, Katterfeld A (2012) Rolling friction as a technique for modelling particle shape in DEM. Powder Technol 217:409–417

    Article  Google Scholar 

  • Wyllie DC (2014) Rock fall engineering: development and calibration of an improved model for analysis of rock fall hazards on highways and railways. Ph.D. thesis, University of British Columbia, Vancouver

  • Zhang M, Yin Y (2013) Dynamics, mobility-controlling factors and transport mechanisms of rapid long-runout rock avalanches in China. Eng Geol 167(1):37–58

    Article  Google Scholar 

Download references

Acknowledgements

This research is supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) under Grant Number 311971-06.

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Correspondence to M. A. Meguid.

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Gao, G., Meguid, M.A. On the role of sphericity of falling rock clusters—insights from experimental and numerical investigations. Landslides 15, 219–232 (2018). https://doi.org/10.1007/s10346-017-0874-z

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  • DOI: https://doi.org/10.1007/s10346-017-0874-z

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