Abstract
A set of experiments on avalanches—each one with a single particle size (monodisperse)—is presented. Experiments were performed with different flume lengths, inclinations, and roughness, for different avalanching masses and particle sizes. A transition from an inertial behavior to a frictional dominated one is observed at a particle size of 1 mm, in all cases. Taking into account the energy dissipated during each step of the avalanching process, we inferred a scaling function that allowed us to collapse all experimental data into a single curve. The transition from an inertial to a frictional dominated regime is explained in terms of the increasing number of particles per unit mass with decreasing particle size, for which the external shear activates a growing number of internal degrees of freedom in which the energy is dissipated. Molecular dynamic numerical simulations showed consistency with the suggested hypothesis of higher dissipated power for larger number of avalanching particles (smaller grain size).
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References
Antypov D, Elliot JA, Hancock BC (2011) Effect of particle size on energy dissipation in viscoelastic granular collisions. Phys Rev E 84:021303. https://doi.org/10.1103/PhysRevE.84.021303
Bartali R, Sarocchi D, Nahmad-Molinari Y, Rodríguez-Sedano LA (2012) Estudio de flujos granulares de tipo geológico por medio del simulador multisensor GRANFLOW-SIM. Boletín de la Sociedad Geológica Mexicana 64(3):265–275
Bartali R, Sarocchi D, Nahmad-Molinari Y (2015) Stick-slip motion and high speed ejecta in granular avalanches detected through a multi-sensors flume. Eng Geol 195:248–257. https://doi.org/10.1016/j.enggeo.2015.06.019
Bartali R, Rodríguez Liñán GM, Torres-Cisneros L et al (2020) Runout transition and clustering instability observed in binary-mixture avalanche deposits. Granular Matter 22:30. https://doi.org/10.1007/s10035-019-0989-0
Brendel L, Dippel S (1998) Lasting Contacts in Molecular Dynamics Simulations. In: Herrmann HJ, Hovi JP, Luding S (eds) Physics of Dry Granular Media. NATO ASI Series (Series E: Applied Sciences) 350. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2653-5_22
Cagnoli B, Romano GP (2010) Pressures at the base of dry flows of angular rock fragments as a function of grain size and flow volume: experimental results. J Volcanol Geoth Res 196:236–244. https://doi.org/10.1016/j.jvolgeores.2010.08.002
Campbell CS (2002) Granular shear flows at the elastic limit. J Fluid Mech 465:261–291. https://doi.org/10.1017/S002211200200109X
Campbell CS (2006) Granular material flows—an overview. Powder Technol 162:208–229. https://doi.org/10.1016/j.powtec.2005.12.008
Cundall PA, Strack ODL (1979) A discrete numerical model for granular assemblies. Géotechnique 29(1):47–65. https://doi.org/10.1680/geot.1979.29.1.47
Davies TR, McSaveney MJ, Hodgson KA (1999) A fragmentation–spreading model for long-runout rock avalanches. Can Geotech J 36(6):1096–1. https://doi.org/10.1139/t99-067
Drake TG (1990) Structural features in granular flows. J Geophys Res Solid Earth 95(8):681. https://doi.org/10.1029/JB095iB06p08681
Eshuis P, van der Weele K, van der Meer D, Lohse D (2005) Granular Leidenfrost effect: experiment and theory of floating particle cluster. Phys Rev Lett 95(25):258001. https://doi.org/10.1103/PhysRevLett.95.258001
Geertsema M, Clague JJ, James W, Schwab JW, Evans SG (2006) An overview of recent large catastrophic landslides in northern British Columbia, Canada. Eng Geol 83:120–143. https://doi.org/10.1016/j.enggeo.2005.06.028
Goujon C, Thomas N, Dalloz-Dubrujeaud B (2003) Monodisperse dry granular flows on inclined planes: role of roughness. Eur Phys J E 11:147–157. https://doi.org/10.1140/epje/i2003-10012-0
Goujon C, Dalloz-Dubrujeaud B, Thomas N (2007) Bidisperse granular avalanches on inclined planes: a rich variety of behaviors. Eur Phys J E 23:199–215. https://doi.org/10.1140/epje/i2006-10175-0
Gray JMNT, Ancey C (2009) Segregation, recirculation and deposition of coarse particles near two-dimensional avalanche fronts. J Fluid Mech 629:387–423. https://doi.org/10.1017/S0022112009006466
Holub M, Hübl J (2008) Local protection against mountain hazards—state of the art and future needs. Nat Hazards Earth Syst Sci 8:81–99. https://doi.org/10.5194/nhess-8-81-2008
Hutter K, Wang Y, Pudasaini SP (2005) The Savage-Hutter avalanche model: how far can it be pushed? Philos Trans A Math Phys Eng Sci 363(1832):1507–1528. https://doi.org/10.1098/rsta.2005.1594
Iverson RM (1997) The physics of debris flows. Rev Geophys 35:245–296. https://doi.org/10.1029/97RG00426
Jalali P, Polashenski W Jr, Tynjälä T, Zamankhan P (2002) Particle interactions in a dense monosized granular flow. Physica D Non Linear Phenomena 162:188–207. https://doi.org/10.1016/S0167-2789(01)00390-6
Lajtai EZ, Gadi AM (1989) Friction on a granite to granite interface. Rock Mech Rock Eng 22(1):25–49. https://doi.org/10.1007/BF01274118
Makse HA, Havlin S, King PR, Stanley HE (1997) Spontaneous stratification in granular mixtures. Nature 386:379–382. https://doi.org/10.1038/386379a0
Manzella I, Labiouse V (2009) Flow experiments with gravel and blocks at small scale to investigate parameters and mechanisms involved in rock avalanches. Eng Geol 109:146–158. https://doi.org/10.1016/j.enggeo.2008.11.006
Martínez E, Pérez-Penichet C, Sotolongo-Costa O, Ramos O, Måløy KJ, Douady S, Altshuler E (2007) Uphill solitary waves in granular flows. Phys Rev E 75:031303. https://doi.org/10.1103/PhysRevE.75.031303
Pérez G (2008) Numerical simulations in granular matter: the discharge of 2D silo. Pramana J Phys 70(989–1):007. https://doi.org/10.1007/s12043-008-0104-2
Pouliquen O (1998) Scaling laws in granular flows down rough inclined planes. Phys Fluids 11:542–547. https://doi.org/10.1063/1.869928
Roche O, Attali M, Mangeney A, Lucas A (2011) On the run-out distance of geophysical gravitational flows: insight from fluidized granular collapse experiments. Earth Planet Sci Lett 311:375–385. https://doi.org/10.1016/j.epsl.2011.09.023
Schäfer J, Dippel S, Wolf D (1996) Force schemes in simulations of granular materials. Journal de Physique I, EDP Sciences 6(1):5–20. https://doi.org/10.1051/jp1:1996129
Thornton AR, Gray JMNT, Hogg AJ (2006) A three-phase mixture theory for particle size segregation in shallow granular free-surface flows. J Fluid Mech 550:1–25. https://doi.org/10.1017/S0022112005007676
Wentworth CK (1922) A scale of grade and class terms for clastic sediments. J Geology 30:377–392
Acknowledgements
We wish to thank the Geology Institute at the Universidad Autónoma de San Luis Potosí (UASLP) for allowing us to perform the experiments. This project was partially funded by Consejo Nacional de Ciencia y Tecnología (CONACYT) Grant Numbers 221961 and A1-S-46572; Fondos Concurrentes UASLP; Ph.D. Grant Number 45697. We also wish to thank all the undergrad students who helped us to perform the experiments.
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Bartali, R., Nahmad-Molinari, Y., Rodríguez-Liñán, G.M. et al. Gravity-Driven Monodisperse Avalanches: Inertial- to Frictional-Dominated Flow. Rock Mech Rock Eng 53, 3507–3520 (2020). https://doi.org/10.1007/s00603-020-02144-w
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DOI: https://doi.org/10.1007/s00603-020-02144-w