The permeability prediction of beds of poly-disperse spheres with applicability to the cake filtration

Osterroth, Sebastian; Preston, Caleb; Markicevic, B.; Iliev, Oleg; Hurwitz, M.

doi:10.1016/j.seppur.2016.03.046

Cited by 12 publications

(6 citation statements)

References 20 publications

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“…Understanding the flow through porous media is of great importance in many natural and technological processes such as oil recovery [1], CO 2 sequestration [2], filtration [3], biological flows [4], and reactive transport [5]. In many practical cases, low Reynolds number flows through porous media are modeled at the Darcy scale using Darcy's law which relates the specific discharge, q, to pressure drop, ∆p, along the flow direction as:…”

Section: Introductionmentioning

confidence: 99%

Pore-scale statistics of flow and transport through porous media

2018

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Flow in porous media is known to be largely affected by pore morphology. In this work, we investigate the effects of pore geometry on the transport and spatial correlations of flow through porous media in two distinct pore structures arising from three-dimensional assemblies of overlapping and nonoverlapping spheres. Using high-resolution direct numerical simulations (DNS), we perform Eulerian and Lagrangian analysis of the flow and transport characteristics in porous media. We show that the Eulerian velocity distributions change from nearly exponential to Gaussian distributions as porosity increases. A stretched exponential distribution can be used to represent this behavior for a wide range of porosities. Evolution of Lagrangian velocities is studied for the uniform injection rule. Evaluation of tortuosity and trajectory length distributions of each porous medium shows that the model of overlapping spheres results in higher tortuosity and more skewed trajectory length distributions compared to the model of nonoverlapping spheres. Wider velocity distribution and higher tortuosity for overlapping spheres model give rise to non-Fickian transport while transport in nonoverlapping spheres model is found to be Fickian. Particularly, for overlapping spheres model our analysis of first-passage time distribution shows that the transport is very similar to those observed for sandstone. Finally, using three-dimensional (3D) velocity field obtained by DNS at the pore-scale, we quantitatively show that despite the randomness of pore-space, the spatially fluctuating velocity field and the 3D pore-space distribution are strongly correlated for a range of porous media from relatively homogeneous monodisperse sphere packs to Castlegate sandstone.

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Section: Introductionmentioning

confidence: 99%

Pore-scale statistics of flow and transport through porous media

2018

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“…The basic equations relating the properties of the filter cake to its permeability, such as the Kozeny-Carman equation (see e.g. Svarovsky, 1981;Ripperger et al, 2012;Osterroth et al, 2016), include not only the (surface area -based) particle size of the solids but also average bed porosity as key parameters.…”

Section: Introductionmentioning

confidence: 99%

Reduction of the width of particle size distribution to improve pressure filtration properties of slurries

Kinnarinen

Tuunila

Häkkinen

2017

Minerals Engineering

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The filtration properties of mineral slurries depend for instance on the properties of the solid particles and on the way how these particles arrange themselves when the filter cake is formed. In cake filtration applications, the focus is often on particle size instead of the shape of particle size distribution (PSD). The aim of this experimental study is to demonstrate the influence of the width of PSD on the properties of the filter cake in the pressure filtration of Ni-Cu mine tailings. Modification of PSD is performed by using a stirred media mill at various operational conditions. The results show that not only particle size should be considered when the filtration properties are evaluated: a significant reduction of the average specific cake resistance (> 60 %) and increase of the average porosity (almost 30 %) can be achieved by stirred media grinding at optimal conditions, in spite of reducing the median particle size. On the other hand, the selection of unfavorable grinding conditions may cause substantial increase in cake resistance. Above all, the results imply that the size of particles in the coarse end of PSD should be reduced while avoiding grinding of the finest particles. This seems to be obtainable by paying special attention to the size of the grinding medium. The main outcomes of this study will help in reducing the energy consumption of dewatering of tailings to be disposed of, and recovering valuable elements from tailings deposited in ponds, requiring the use of optimized grinding circuits and solid-liquid separation operations. However, the benefits obtained in the filtration stage should overcome the increased costs caused by the installation and energy consumption of the grinding systems. This means that the demonstrated grinding method may be profitably utilized in industrial scale only when the material is easy to grind and the filtration properties can be significantly improved, or when the filtration plant is the main bottleneck of the process.

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“…To account for the polydisperse nature of the particles, an average diameter is used. A comparison of experimental data with theoretical formulas in [28] indicated that the harmonic average diameter is a good choice.…”

Section: Combined Depth and Cake Filtration Modelmentioning

confidence: 99%

Combined Depth and Cake Filtration Model Coupled with Flow Simulation for Flat and Pleated Filters

2017

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Filtration processes characterized by initial depth filtration, followed by a stage during which the cake acts as both a depth and surface filtering medium are studied. Such phenomena can occur especially for polydisperse dust. Based on onedimensional depth filtration modeling, a combined depth and cake filtration model is formulated and coupled with the fluid flow. The evolution of flow resistivity and filtration efficiencies is investigated in the case of relatively dilute suspensions and constant flow rates. Numerical simulations of single-pass experiments are performed for both flat and pleated filter media. The model presented here is able to predict a nonlinear pressure drop for incompressible filter cakes due to the reduction of pore volume by particle deposition in the cake region.

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The permeability prediction of beds of poly-disperse spheres with applicability to the cake filtration

Cited by 12 publications

References 20 publications

Pore-scale statistics of flow and transport through porous media

Pore-scale statistics of flow and transport through porous media

Reduction of the width of particle size distribution to improve pressure filtration properties of slurries

Combined Depth and Cake Filtration Model Coupled with Flow Simulation for Flat and Pleated Filters

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