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Computer Simulation of Packing of Particles with Size Distributions Produced by Fragmentation Processes

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Abstract

Fragmentation schemes inspired by theoretical results and conjectures of Kolmogorov are applied to produce particle size distributions of different natures, depending on fragmentation parameters. A two-dimensional computer simulation method of packing is applied to the resulting distributions and the void fraction is evaluated. The relationship between the void fraction and characteristic parameters of the fragmentation process is studied.

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References

  • Andreasen, A. and Andersen, J. (1930), Ueber die Beziehung zwischen Kornabstufung und Zwischenraum in Produkten aus losen Ko¨rnern, Kolloid-Zeitschrift 50, 217–228.

  • Anishchik, S.V. and Medvedev, N.N. (1995), Three-Dimensional Apollonian Packing as a Model for Dense Granular Systems, Phys. Rev. Lett. 75, 4314–4317.

  • Bagnold, R.A. and Barndorff-Nielsen, O. (1980), The pattern of natural size distributions, Sedimentology 27 (2), 199–207.

  • Fieller, N.R.J, Gilbertson, D.D. and Olbricht, W. (1984), A new method for environmental analysis of particle size distribution data from shoreline sediments, Nature 311, 648–651.

  • Frish, U. and Sornette, D. (1997), Extreme deviations and applications, J. Phys. I France 7, 1155–1171.

  • Gray, W.A., The packing of solid particles (Chapman and Hall, London, 1968).

  • He, D., Ekere, N.N. and Cai, L. (1999), Computer simulation of random packing of unequal particles, Phys. Rev. E 60, 7098–7104.

  • Kolmogorov, A.N. (1941), On the logarithmic normal distribution of particle sizes under grinding. Dokl. Akad. Nauk SSSR 31, 99–101.

  • Mandelbrot, B.B., The fractal geometry of nature (W.H. Freeman, New York 1982).

  • Martín, M.A., García-Gutiérrez, C. and Reyes, M. (2009), Modeling multifractal features of soil particle size distributions with Kolmogorov fragmentation algorithms, Vadose Zone J. 8, 202–208.

  • Nolan, G.T. and Kavanag, P.E. (1993), Computer simulation of random packings of spheres with log-normal distributions, Powder Technol. 76, 309–316.

  • Roualt, Y. and Assouline, S. (1998), A probabilistic approach towards modeling the relationships between particle and pore size distributions: the multicomponent packed sphere case, Powder Technol. 96, 33–41.

  • Sohn, H.Y. and Moreland, C. (1968), The effect of particle size distribution on packing density, Can. J. Chem. Eng. 46, 162–167.

  • Sornette D., Critical phenomena in Natural Sciences (Springer-Verlag, Berlín 2006).

  • Turcotte, D.L. (1986), Fractals and fragmentation, J. Geophys. Res. 91, 1921–1926.

  • Vidal, D., Ridgway, C., Pianet. G., Schoelkopf, J., Roy, R. and Bertrand, F. (2009), Effect of particle size distribution and packing compression on fluid permeability as predicted by lattice-Boltzmann simulations, Computers and Chemical Engineering 33, 256–266.

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Acknowledgment

This research work was been funded by Spain's Plan Nacional de Investigación Científica, Desarrollo e Innovación Tecnológica (I + D + I) under ref. AGL2011–25175.

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Correspondence to Miguel Angel Martín.

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Martín, M.A., Muñoz, F.J., Reyes, M. et al. Computer Simulation of Packing of Particles with Size Distributions Produced by Fragmentation Processes. Pure Appl. Geophys. 172, 141–148 (2015). https://doi.org/10.1007/s00024-014-0918-4

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  • DOI: https://doi.org/10.1007/s00024-014-0918-4

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