Permeability of Three-Dimensional Random Fiber Webs

Koponen, Antti; Kandhai, Drona; Hellén, Erkki; Alava, Mikko J.; Hoekstra, Alfons G.; Kataja, M.; Niskanen, Kaarlo; Sloot, P.M.A.; Timonen, J.

doi:10.1103/physrevlett.80.716

Cited by 233 publications

(153 citation statements)

References 22 publications

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“…Furthermore, in the LBM all computations involve, only local variables enabling highly efficient parallel implementations based on simple domain decomposition [37]. With more powerful computers becoming available, it was possible to perform detailed simulations of flow in artificially generated geometries [5,[38][39][40], tomographic reconstructions of sandstone samples [29,[41][42][43][44], or fibrous sheets of paper [45].…”

Section: Introductionmentioning

confidence: 99%

Multiphase lattice Boltzmann simulations for porous media applications

et al. 2015

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Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media. In addition to single phase simulations allowing, for example, a precise quantification of the permeability of a porous sample, a number of extensions to the lattice Boltzmann method are available which allow to study multiphase and multicomponent flows on a pore scale level. In this article, we give an extensive overview on a number of these diffuse interface models and discuss their advantages and disadvantages. Furthermore, we shortly report on multiphase flows containing solid particles, as well as implementation details and optimization issues.

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Section: Introductionmentioning

confidence: 99%

Multiphase lattice Boltzmann simulations for porous media applications

et al. 2015

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“…This means that the flow in the small pores, which may have not been detected by the CT imaging, was neglected, so the results may have underestimated the permeability. Koponen et al [7] studied the creeping flow through large three dimensional random fibers web using the LBM with the D3Q19 lattice. For the faces of the flow domain, the periodic boundary condition was implemented.…”

Section: Introductionmentioning

confidence: 99%

Fluid Flow Simulation in Random Porous Media at Pore Level Using Lattice Boltzmann Method

Nabovati

Sousa

2007

New Trends in Fluid Mechanics Research

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Fluid flow in two dimensional random porous media is simulated at pore level using the Lattice Boltzmann Method. Random media are constructed by placing identical rectangles with a random distribution and free overlapping. Different domain resolutions are examined and it is shown that the effect of the domain resolution is negligible in the range examined. Simulations clearly indicate, for the same porosity, the permeability of the random porous media is lower than the permeability of the regularly ordered medium; the permeability, independently of the porous media organization, varies exponentially with the porosity. Average tortuosity of the flow is calculated and it is proposed its correlation with the porosity. The effect of the aspect ratio of the randomly placed obstacles on the predicted tortuosity and permeability is studied, and it is found that an increase of the obstacles' aspect ratio (height to width ratio) yields an increase of the tortuosity and consequent decrease of the permeability. The predicted values of the permeability and tortuosity are in close agreement with the data available in the literature.

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“…The simulated dimensionless permeabilities in the in-plane direction are shown as a function of porosity in Fig. 16, where each black triangle represents the simulated permeability of one single fiber network [28]. The fiber network resembles fibrous filters, for which experimental permeability results [69] are shown in Fig.…”

Section: Transport Through Networkmentioning

confidence: 99%

“…Recently, developed methods include variational bounds, for which 2nd and 3rd order correlation functions are needed [53], effective medium techniques [54][55][56][57] and percolation-type ideas [58,59]. Simulated fiber networks may enable one to study transport properties of disordered media efficiently [28,41,60].…”

Section: Transport Through Networkmentioning

confidence: 99%

Fiber deposition models in two and three spatial dimensions

Provatas

Haataja

Asikainen

et al. 2000

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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We review growth, percolation, and spatial correlations in deposition models of disordered fiber networks. We first consider 2D models with effective interactions between the deposited particles represented by simple parametrization. In particular, we discuss the case of single cluster growth, growth of uniformly random networks, and flocculated networks with nontrivial spatial correlations. We also consider a 3D deposition model of flexible fibers that describes the growth of multilayer structures of disordered networks. We discuss the statistical properties of such structures, transport of fluid through the network, and the asymptotics of growth in the limit of infinite thickness.

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Permeability of Three-Dimensional Random Fiber Webs

Cited by 233 publications

References 22 publications

Multiphase lattice Boltzmann simulations for porous media applications

Multiphase lattice Boltzmann simulations for porous media applications

Fluid Flow Simulation in Random Porous Media at Pore Level Using Lattice Boltzmann Method

Fiber deposition models in two and three spatial dimensions

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