Advertisement

Grainsize Evolution in Open Systems

  • Benjy MarksEmail author
  • Itai Einav
Conference paper
  • 1.6k Downloads
Part of the Springer Series in Geomechanics and Geoengineering book series (SSGG)

Abstract

Granular flows are often characterised by spatial and temporal variations in their grainsize distribution. These variations are generally measured by geologists and geotechnical engineers after a flow has occurred, and two limiting states are commonly found; either a power law or log-normal grainsize distribution. Here, we use a lattice model to study how the grainsize distribution evolves in granular systems subject to grain crushing, segregation and mixing simultaneously. We show how the grainsize distribution evolves towards either of these grainsize distributions depending on the mechanisms involved in the flow.

Keywords

Debris Flow Granular Material Grainsize Distribution Lattice Model Pyroclastic Flow 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Chopard B, Droz M (1991) Cellular automata model for the diffusion equation. J Stat Phys 64(3–4):859CrossRefMathSciNetGoogle Scholar
  2. Dolgunin V, Ukolov A (1995) Segregation modeling of particle rapid gravity flow. Powder Technol 83(2):95CrossRefGoogle Scholar
  3. Gray JMNT, Chugunov VA (2006) Particle-size segregation and diffusive remixing in shallow granular flows. J Fluid Mech 569:365CrossRefMathSciNetzbMATHGoogle Scholar
  4. Gray JMNT, Thornton AR (2005) A theory for particle size segregation in shallow granular free-surface flows. Proc Roy Soc A 461(2057):1447–1473CrossRefMathSciNetzbMATHGoogle Scholar
  5. Marks B, Einav I (2011) A cellular automaton for segregation during granular avalanches. Gran Matter 13(3):211–214CrossRefGoogle Scholar
  6. Marks B, Rognon P, Einav I (2012) Grainsize dynamics of polydisperse granular segregation down inclined planes. J Fluid Mech 690:499CrossRefMathSciNetzbMATHGoogle Scholar
  7. McDowell G, Bolton M, Robertson D (1996) The fractal crushing of granular materials. J Mech Phys Solids 44(12):2079CrossRefGoogle Scholar
  8. Ramkrishna D (2000) Population balances: Theory and applications to particulate systems in engineering (Academic Press San Diego)Google Scholar
  9. Savage S, Lun C (1988) Particle size segregation in inclined chute flow of dry cohesionless granular solids. J Fluid Mech 189:311CrossRefGoogle Scholar
  10. Steacy S, Sammis C (1991) An automaton for fractal patterns of fragmentation. Nature 353(6341):250CrossRefGoogle Scholar
  11. Utter B, Behringer RP (2004) Self-diffusion in dense granular shear flows. Phys Rev E 69(3):031308CrossRefGoogle Scholar
  12. Weibull W (1951) A statistical distribution function of wide applicability. J Appl Mech 18(3):293zbMATHGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Advanced Materials and Complex SystemsUniversity of OsloOsloNorway
  2. 2.School of Civil EngineeringThe University of SydneySydneyAustralia

Personalised recommendations