Abstract
The impact force to a rigid obstruction from a granular mass sliding down a smooth incline provides insights into the solid-like and fluid-like behaviors of granular avalanches and useful information for risk assessment and engineering design against landslides. In this study, a series of 2-D flume tests were performed to systematically investigate the effects of inclination angle, sliding distance, and initial relative density on the flow front velocity and impact force on a rigid obstruction. The experimental results show that for inclination angles smaller than the critical state friction angle of sand, an increase in the sliding distance and/or initial relative density results in smaller impact forces; for higher inclination angles, the trend is reversed. Based on the experimental results, an analytical equation is proposed to estimate the flow front velocity and an empirical approach is presented to estimate the maximum impact force based on elastic solid and hydrodynamic methods. The proposed equations are found to provide more accurate predictions for the maximum impact force than similar equations in the literature.
Similar content being viewed by others
References
Ahmadipur A, Qiu T (2017) Experimental investigation of effect of soil density and inclination angle on impact force from a granular sliding mass on a rigid obstruction. In: Proceedings geotechnical frontiers conference, March 12–15, Orlando, FL, pp 294–303
Albaba A, Lambert S, Nicot F, Chareyre B (2015) Modeling the impact of granular flow against an Obstacle. Recent advances in modeling landslides and debris flows Springer Cham 95–105
Al-Mhaidib AI (2006) Influence of shearing rate on interfacial friction between sand and steel. Eng J Univ Qatar 19:1–6
Arattano M, Franzi L (2003) On the evaluation of debris flows dynamics by means of mathematical models. Nat Hazards Earth Syst Sci 3:539–544
Armanini A (1997) On the dynamic impact of debris flows, recent developments on debris flows. Lect Notes Earth Sci Berl Springer 64:208–224
Armanini A, Larcher M, Odorizzi M (2011) Dynamic impact of a debris flow front against a vertical wall. Ital J Eng Geol Environ 11:1041–1049
Brummund WF, Leonards GA (1973) Experimental study of static and dynamic friction between sand and typical construction materials. J Test Eval 1(2):162–165
Butterfield R, Andrawes KZ (1972) On the angles of friction between sand and plane surfaces. J Terrramech 8(4):15–23
Calvetti F, di Prisco CG, Vairaktaris E (2016) DEM assessment of impact forces of dry granular masses on rigid barriers. Acta Geotech 12:129. https://doi.org/10.1007/s11440-016-0434-z
Campbell CS (1990) Rapid granular flows. Annu Rev Fluid Mech 22:57–92
Chang CS, Yin ZY (2011) Micromechanical modeling for behavior of silty sand with influence of fine content. Int J Solids Struct 48(19):2655–2667
Chen W, Qiu T (2012) Numerical simulations of granular materials using smoothed particle hydrodynamics method. Int J Geomech ASCE 11(2):127–135
Chiou MC (2005) Modeling dry granular avalanches past different obstructs: numerical simulations and laboratory analyses. Dissertation, Technical University Darmstadt, Germany
Cruden DM, Varnes DJ (1996) Landslide types and processes, landslides investigation and mitigation: transportation research board, special report no. 247. In: Turner AK, Schuster RL (eds), National Research Council, National Academy Press, Washington, D.C., pp 36–75
Cui P, Zeng C, Lei Y (2015) Experimental analysis on the impact force of viscous debris flow. Earth Surf Proc Land 40:1644–1655
Cundall PA, Strack ODL (1979) A discrete numerical model for granular assemblies. Geotechnique 29(1):47–65
Daido A (1993) Impact force of mud debris flows on structures. In: Proceedings of IAHR congress, Tokyo 3/b, pp 211–220
Denlinger RP, Iverson RM (2001) Flow of variably fluidized granular masses across three-dimensional terrain 2. Numerical predictions and experimental tests. J Geophys Res B Solid Earth 106(B1):553–566
Domnik B, Pudasaini SP (2012) Full two-dimensional rapid chute flows of simple viscoplastic granular materials with a pressure-dependent dynamic slip-velocity and their numerical simulations. J Nonnewton Fluid Mech 173:72–86
Domnik B, Pudasaini SP, Katzenbach R, Miller SA (2013) Coupling of full two-dimensional and depth-averaged models for granular flows. J Nonnewton Fluid Mech 201:56–68
Drake TG (1991) Granular flow: physical experiments and their implications for microstructural theories. J Fluid Mech 225:121–152
Eglit ME, Kulibaba VS, Naaim M (2007) Impact of a snow avalanche against an obstracle. Formation of shock waves. Cold Reg Sci Technol 50:86–96
Faug T, Gauer P, Lied K, Naaim M (2008) Overrun length of avalanches overtopping catching dams: Cross-comparison of small-scale laboratory experiments and observations from full-scale avalanches. J Geophys Res Earth Surf 113(F03009)
Faug T, Childs P, Wyburn E, Einav I (2015) Standing jumps in shallow granular flows down smooth inclines. Phys Fluids 27(7):073304
Forterre Y, Pouliquen O (2008) Flow of dense granular media. Annu Rev Fluid Mech 40:1–24
Goldhirsch I (2003) Rapid granular flows. Annu Rev Fluid Mech 35:267–293
Greve R, Koch T, Hutter K (1994) Unconfined flow of granular avalanches along a partly curved surface. I. Theory. Proc R Soc A 445:399–413
Hákonardóttir KM, Hogg AJ, Jóhannesson T, Tómasson GG (2003) A laboratory study of the retarding effects of braking mounds on snow avalanches. J Glaciol 49(165):191–200
Hákonardóttir KM, Hogg AJ (2005) Oblique shocks in rapid granular flows. Phys Fluids 17(7):077101
Hauksson S, Pagliardi M, Barbolini M, Jóhannesson T (2007) Laboratory measurements of impact forces of supercritical granular flow against mast-like obstacles. Cold Reg Sci Technol 49(1):54–63
Huang HP, Yang KC, Lai SW (2007) Impact forces of debris flow on filter dam. Geophys Res Abstr 9:03218
Hübl J, Holzinger G (2003) Entwicklung von Grundlagen zur Dimensionierung kronenoffener Bauwerke für die Geschiebebewirtschaftung in Wildbächen: Kleinmaßstäbliche Modellversuche zur Wirkung von Murbrechern. WLS Report 50 Band 3, Im Auftrag des BMLFUW VC 7a
Hungr O (2008) Simplified models of spreading flow of dry granular material. Can Geotech J 45:1156–1168
Hungr O, Evans SG (2004) Entrainment of debris in rock avalanches: an analysis of a long run-out mechanism. Bull Geol Soc Am 116(9–10):1240–1252
Hungr O, Morgenstern NR (1984) Experiments on the flow behavior of granular materials at high velocity in an open channel. Geotechnique 34(3):405–413
Hutter K, Koch T (1991) Motion of a granular avalanche in an exponentially curved chute: experiments and theoretical predictions. Philos Trans Phys Sci Eng 334:93–138
Hutter K, Wang Y, Pudasaini SP (2005) The Savage–Hutter avalanche model: how far can it be pushed? Philos Trans R Soc A 363:1507–1528
Iverson RM, Vallance JW (2001) New views on granular mass flows. Geology 29(2):115–118
Iverson RM, Logan M, Denlinger RP (2004) Granular avalanches across irregular three-dimensional terrain: 2. Experimental tests. J Geophys Res 109:F01015
Iverson RM, Logan M, LaHusen RG, Berti M (2010) The perfect debris flow? Aggregated results from 28 large-scale experiments. J Geophys Res 115:F03005
Ishikawa N, Inoue R, Hayashi K, Hasegawa Y, Mizuyama T (2008) Experimental approach on measurement of impulsive fluid force using debris flow model. In: INTERPRAEVENT 2008, conference proceedings, pp 343–354
Jiang YJ, Towhata I (2013) Experimental study of dry granular flow and impact behavior against a rigid retaining wall. Rock Mech Rock Eng 46(4):713–729
Jiang YJ, Zhao Y, Towhata I, Liu DX (2015) Influence of particle characteristics on impact event of dry granular flow. Powder Technol 270:53–67
Kattel P, Khattri KB, Pokhrel PR, Kafle J, Tuladhar BM, Pudasaini SP (2016) Simulating glacial lake outburst floods with a two-phase mass flow model. Ann Glaciol 57(71):349–358
Kermani E, Qiu T, Tianbin L (2015) Simulation of collapse of granular columns using the discrete element method. Int J Geomech 15(6):04015004
Kirshbaum DB, Adler R, Hong Y, Hill S, Lerner-Lam AL (2009) A global landslide catalog for hazard applications—method, results and limitations. J Nat Hazards 52(3):561–575
Lajeunesse E, Mangeney-Castelnau A, Vilotte JP (2004) Spreading of a granular mass on a horizontal plane. Phys Fluids 16(7):2371–2381
Lichtenan C (1973) Berechnung von Sperren in Beton und Eisenbeton. Kolloquium Über Wildbachsperren. Mitteilungen der Forstlichen Bundesanstalt Wien. Heft 102:91–127
Lube G, Huppert HE, Sparks RSJ, Hallworth MA (2004) Axisymmetric collapses of granular columns. J Fluid Mech 508(1):175–199
Lube G, Huppert HE, Stephan R, Sparks J, Freundt A (2011) Granular column collapses down rough, inclined channels. J Fluid Mech 675:347–368
Mancarella D, Hungr O (2010) Analysis of run-up of granular avalanches against steep, adverse slopes and protective barriers. Can Geotech J 47:827–841
Manzella I, Labiouse V (2012) Empirical and analytical analyses of laboratory granular flows to investigate rock avalanche propagation. Landslides. https://doi.org/10.1007/s10346-011-0313-5
Mast CM, Arduino P, Mackenzie-Helnwein P, Miller GR (2015) Simulating granular column collapse using the Material Point Method”. Acta Geotech 10:101–116. https://doi.org/10.1007/s11440-014-0309-0
McDougall S, Hungr O (2004) A model for the analysis of rapid landslide motion across three-dimensional terrain. Can Geotech J 41:1084–1097
Mergili M, Fischer JT, Krenn J, Pudasaini SP (2017) r. avaflow v1, an advanced open-source computational framework for the propagation and interaction of two-phase mass flows. Geosci Model Dev 10(2):553
Midi GDR (2004) On dense granular flows. Eur Phys J E Soft Matter Biol Phys 14(4):341–365
Mizuyama T (1979) Evaluation of impact of debris flow on check dams. J Jpn Soc Eros Control Eng 32:40–49
Moriguchi S, Borja RI, Yashima A, Sawada K (2009) Estimating the impact force generated by granular flow on a rigid obstruction. Acta Geotech 4(1):57–71
Patra AK, Bauer AC, Nichita CC, Pitman EB, Sheridan MF, Bursik M, Rupp B, Webber A, Stinton AJ, Namikawa LM, Renschler CS (2005) Parallel adaptive numerical simulation of dry avalanches over natural terrain. J Volcanol Geoth Res 139(1):1–21
Pouliquen O (1999) Scaling laws in granular flows down rough inclined planes. Phys Fluids 11(3):542–548
Proske D, Suda J, Hübl J (2010) Debris flow impact estimation for breakers. Georisk 5(2):143–155
Pudasaini SP (2012) A general two-phase debris flow model. J Geophys Res Earth Surf 117(F03010)
Pudasaini SP, Wang Y, Hutter K (2005) Rapid motions of free-surface avalanches down curved and twisted channels and their numerical simulation. Philos Trans R Soc Lond A, Math Phys Eng Sci 363(1832):1551–1571
Pudasaini SP, Hutter K, Hsiau SS, Tai SC, Wang Y, Katzenbach R (2007) Rapid flow of dry granular materials down inclined chutes impinging on rigid walls. Phys Fluids 19(5):053302
Pudasaini SP, Hutter K (2007) Avalanche dynamics: dynamics of rapid flows of dense granular avalanches. Springer, Berlin, p 602
Pudasaini SP, Kröner C (2008) Shock waves in rapid flows of dense granular materials: theoretical predictions and experimental results. Phys Rev E 78(4):041308
Pudasaini SP (2011) Some exact solutions for debris and avalanche flows. Phys Fluids 23(4):043301
Pudasaini SP, Miller SA (2013) The hypermobility of huge landslides and avalanches. Eng Geol 157:124–132
Pudasaini SP, Fischer JT (2016) A mechanical erosion model for two-phase mass flows. arXiv:1610.01806
Savage SB, Hutter K (1989) The motion of a finite mass of granular material down a rough incline. J Fluid Mech 199:177–215
Savage SB, Hutter K (1991) The dynamics of avalanches of granular materials from initiation to runout, part I. Analysis. Acta Mechanica 86(1–4):201–223
Scotton P, Deganutti AM (1997) Phreatic line and dynamic impact in laboratory debris flow experiments. In: Proceedings of the 1st international conference on debris-flow hazards mitigation: mechanics, prediction, and assessment, ASCE, pp 777–786
Teufelsbauer H, Wang H, Pudasaini SP, Borja RI, Wu W (2011) DEM simulation of impact force exerted by granular flow on rigid structures. Acta Geotech 6:119–133
USGS (2013) http://landslides.usgs.gov/learning/majorls.php. Accessed 10 Aug 2017
USGS (2014) https://www2.usgs.gov/blogs/features/usgs_top_story/landslide-in-washington-state/107/. Accessed 10 Aug 2017
Valentino R, Barla G, Montrasio L (2008) Experimental analysis and micromechanical modelling of dry granular flow and impacts in laboratory flume tests. Rock Mech Rock Eng 41(1):153–177
Zanuttigh B, Lamberti A (2006) Experimental analysis of the impact of dry avalanches on structures and implication for debris flows. J Hydraul Res 44(4):522–534
Zenit R (2005) Computer simulations of the collapse of a granular column. Phys Fluids 17(3):031703
Acknowledgements
Support of this study is provided by the US National Science Foundation under Award # CMMI-1453103. This support is gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Ahmadipur, A., Qiu, T. Impact force to a rigid obstruction from a granular mass sliding down a smooth incline. Acta Geotech. 13, 1433–1450 (2018). https://doi.org/10.1007/s11440-018-0727-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11440-018-0727-5