Stochastic particle packing with specified granulometry and porosity

This work presents a technique for particle size generation and placement in arbitrary closed domains. Its main application is the simulation of granular media described by disks. Particle size generation is based on the statistical analysis of granulometric curves which are used as empirical cumula...

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Bibliographic Details
Published in:arXiv.org 2012-07
Main Authors: Frery, A C, Rivarola-Duarte, L, V Carrilho Leão Ramos, A Soares Ramos Junior, Matos Lira, W W
Format: Article
Language:English
Subjects:
Computer simulation
Discrete element method
Disks
Distribution functions
Domains
Empirical analysis
Filling
Granular materials
Granular media
Particle size
Placement
Porosity
Statistical analysis
Statistical methods
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Description
Summary:This work presents a technique for particle size generation and placement in arbitrary closed domains. Its main application is the simulation of granular media described by disks. Particle size generation is based on the statistical analysis of granulometric curves which are used as empirical cumulative distribution functions to sample from mixtures of uniform distributions. The desired porosity is attained by selecting a certain number of particles, and their placement is performed by a stochastic point process. We present an application analyzing different types of sand and clay, where we model the grain size with the gamma, lognormal, Weibull and hyperbolic distributions. The parameters from the resulting best fit are used to generate samples from the theoretical distribution, which are used for filling a finite-size area with non-overlapping disks deployed by a Simple Sequential Inhibition stochastic point process. Such filled areas are relevant as plausible inputs for assessing Discrete Element Method and similar techniques.
ISSN:2331-8422
DOI:10.48550/arxiv.1207.2961