Monte Carlo simulation of particulate matter segregation

Rosato, Anthony; Prinz, Friedrich; Standburg, K.J.; Swendsen, Robert H.

doi:10.1016/0032-5910(86)85005-7

Cited by 150 publications

(52 citation statements)

References 26 publications

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“…In systems that do not involve much agitation of the grains, segregation mechanisms involving gravity include the preferential downward percolation of smaller particles in relatively slow inclined shear flows [1], the upward frictional ratchetting of large particles [2], and the preferential filling of space beneath larger particles by smaller particles in a system that is occasionally shaken [3,4]. In sheared or vibrated systems of colliding grains, gravity also influences mixtures of grains of different sizes.…”

Section: Introductionmentioning

confidence: 99%

Microgravity Segregation in Collisional Granular Shearing Flows

Louge

Jenkins

Reeves

et al. 2000

Solid Mechanics and Its Applications

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This article concerns granular shearing flows in microgravity where segregation of grains by size or mass is driven by spatial gradients in the fluctuation energy of the grains.Experiments were conducted on NASA's microgravity aircraft with a shear cell shaped like a race track and containing a mixture of two types of spherical grains. A gradient of fluctuation energy was produced between the inner, energetic moving boundary driving collisions among the grains and the outer, more dissipative boundary at the periphery of the cell. The energetics were achieved by covering the two boundaries with bumps of appropriate size and spacing and by setting the distance between the flat side walls through which the flow was observed.The grain segregation and the corresponding velocity statistics were captured by a high-speed video camera and analyzed using computer vision software. The resulting profiles of particle mean and fluctuation velocities were compared with computer simulations of the entire experimental apparatus.

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Section: Introductionmentioning

confidence: 99%

Microgravity Segregation in Collisional Granular Shearing Flows

Louge

Jenkins

Reeves

et al. 2000

Solid Mechanics and Its Applications

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“…Monte Carlo method has been employed extensively to model particle segregation. A particle packing is obtained by considering the minimization of the potential energy of the packing [26,27].…”

Section: Discrete Approachmentioning

confidence: 99%

Mechanics of light weight proppants: A discrete approach

Kulkarni¹,

Ochoa²

2012

Composites Science and Technology

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Proppants are a specific application of granular materials used in oil/gas well stimulation. Employment of hard and soft particle mixtures is one of the many approaches availed by the industry to improve fracture resistance and the stability of the granular pack in the hydraulic fracture. Current industrial practices of proppant characterization involve long term and expensive conductivity tests. However, the mechanics governing the proppant pack response, in particular the effects due to material, shape and size of particles on the pack porosity, stiffness and particle fragmentation are not understood clearly.The present research embodies analytical and experimental approach to model hard (ceramic) and soft (walnut shell and/or pure aluminum) proppant mixtures by taking into account polydispersity in size, shape and material type of individual particles.The hydraulic fracture condition is represented through confined compression and flowback loads. The particle interactions clearly illustrate changes in pore space as a function of pressure, mixture composition and friction. Single particle compression tests on individual particles are carried out to obtain mechanical properties which are incorporated into the finite element models and are further correlated with the compression/crush response of the mixture. The proppant pack stiffness and particle fragmentation depends strongly on the mixture composition as illustrated in the models and experiments. The flowback models demonstrated that the formation of a stable arch is essential to pack stability. Additional variables that enhance flowback resistance are identified as; addition of softer particles to a pack, softer rock surfaces and higher interparticle friction. The computational studies also led to the discovery of better, and more iv efficient pack compositions such as -short and thin pure Al needles/ceramic and the pistachio shells/ceramic mixtures. These analytical results have generated great interest and are engaged in the design of experiments to formulate future proppant pack mixtures at Baker Hughes Pressure Pumping, Tomball, TX. v

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“…More importantly, they clarified the behaviour of the powder during filling; introducing the concepts of critical shoe velocity (the velocity above which incomplete filling is achieved) and the influence of air flow and pressure. In the general context of granular systems, numerical simulation methodologies are many and wide ranging: Monte Carlo methods [17,18], Cellular Automata [19,20], Diffusing Void Model [21,22], Steepest Descent [23,24], Molecular Dynamics (MD), Even Driven molecular dynamics (ED) [25,26], Discrete Element Method (DEM) [27]. In powder metallurgy, the most relevant results found in the literature [13][14][15], suggest the use of DEM to study the behaviour of powder during both filling and powder transfer.…”

Section: Introductionmentioning

confidence: 99%

Flow regime analyses during the filling stage in powder metallurgy processes: experimental study and numerical modelling

et al. 2010

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Experimental and numerical studies of powder\ud flow during the die filling stage in powder metallurgy cold\ud compaction processes are presented. An experimental setting\ud consisting of a horizontal pneumatically activated shoe,\ud a vertical die and high-speed video system has been designed.\ud The experiments show the existence of three flow regimes:\ud continuous, transitory and discrete, which are identified in\ud terms of the particle size, the morphology and the speed of\ud the shoe. In the continuous regime the powder flows in a progressive\ud manner but in the discrete one some perturbations\ud appear as a consequence of a shear band formation that forms\ud discrete avalanches. A numerical model, based on a ratedependent\ud constitutive model, via a flow formulation, and in\ud the framework of the particle finite element method (PFEM)\ud is also proposed. For the purpose of this study, the use of the\ud PFEM assumes that the powder can be modelled as a continuous\ud medium. The model, provided with the corresponding\ud characterisation of the parameters, is able to capture the two\ud fundamental phenomena observed during the filling process:\ud (1) the irreversibility of most of the deformation experienced\ud by the material and (2) the quick dissipation of the potential\ud gravitatory energy of the granular system through the inter-particle friction processes, modelled by the plastic dissipation\ud associated with the material model. Experimental and\ud numerical results have been compared in order to study the\ud viability of the proposed model.Peer ReviewedPreprin

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Monte Carlo simulation of particulate matter segregation

Cited by 150 publications

References 26 publications

Microgravity Segregation in Collisional Granular Shearing Flows

Microgravity Segregation in Collisional Granular Shearing Flows

Mechanics of light weight proppants: A discrete approach

Flow regime analyses during the filling stage in powder metallurgy processes: experimental study and numerical modelling

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