A general model for the permeability of fibrous porous media based on fluid flow simulations using the lattice Boltzmann method

Nabovati, Aydin; Llewellin, Edward W.; Sousa, António C.M.

doi:10.1016/j.compositesa.2009.04.009

Cited by 238 publications

(132 citation statements)

References 54 publications

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“…of spherical and non-spherical aggregate particles. We note that this approach of projecting the microstructure into a regular lattice has already been applied at the pore-scale [12][13][14]. For example, Nabovati et al [14] used this approach, coupled with the lattice Boltzmann method, to investigate the effect of curvature and aspect ratio of fibres on the permeability of fibrous porous media.…”

Section: Non-spherical Aggregate Particlesmentioning

confidence: 99%

Modelling the diffusivity of mortar and concrete using a three-dimensional mesostructure with several aggregate shapes

Abyaneh

Wong

Buenfeld

2013

Computational Materials Science

165

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This paper presents a numerical investigation into the effect of ITZ and aggregate shape on the diffusivity of mortar and concrete using a three-dimensional model. Concrete is treated as a three-phase composite consisting of aggregate particles, bulk cement paste and aggregate-paste interface, i.e. the 'interfacial transition zone' (ITZ). The model is set up in two stages. First, a three-dimensional representative volume element of the concrete mesostructure is generated. Then, a finite difference method is used to simulate molecular diffusion through the mesostructure. The transport properties of the conductive phases (bulk cement paste and ITZ) are determined based on the water/cement ratio, degree of hydration and porosity gradients away from aggregate particles. The model is validated against available experimental data and compared with analytical relationships for ideal cases. The model is then used to study the effect of aggregate shape on diffusivity, which has not been attempted before in three-dimensions. The model is also applied to assess the effects of water/cement ratio, degree of hydration, aggregate size, volume fraction, shape and orientation, ITZ width and percolation on diffusivity. Some of these effects are impractical to quantify from laboratory experimentation alone. It was found that the shape and orientation of aggregate particles have a significant effect on diffusivity. Diffusivity decreased when spherical aggregate particles are replaced with ellipsoidal particles due to the consequent increase in tortuosity of the cement paste.Keywords: Concrete; Mortar; Cement-based materials; Modelling; Diffusivity; Aggregate shape Highlights:• Diffusivity of cementitious materials is modelled using a three-dimensional model.• The required characteristics of Representative Elementary Volume were investigated.• The simulations were verified by comparing with experimental and analytical results.• The effects of different variables influencing diffusivity were investigated.• The diffusivity decreased with the increase of aspect ratio of aggregate particles.

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Section: Non-spherical Aggregate Particlesmentioning

confidence: 99%

Modelling the diffusivity of mortar and concrete using a three-dimensional mesostructure with several aggregate shapes

Abyaneh

Wong

Buenfeld

2013

Computational Materials Science

165

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“…The findings of Nabotavi [15] allow us to hold Da constant for varying curvature values as we have done in our study. He showed that the effect of curvature on permeability of a fiber in a fibrous medium has no effect on the overall permeability of the medium by replacing straight fibers with randomly curved fibers as the constituting elements of porous medium.…”

Section: Radial Velocity Through the Porous Wall Of The Pipe With Varmentioning

confidence: 72%

“…The slip coefficient was found to depend on the material, Reynolds number, permeabilities and wall thickness. Nabotavi et al [15] simulated fluid flow in three-dimensional random fibrous media using the lattice Boltzman method. They determined the permeability of the medium using the Darcy law across a wide range of void fractions (0.08 ≤ k ≤ 0.99) and found that the values for the permeability that they obtained were consistent with available experimental data.…”

Section: U Rmentioning

confidence: 99%

See 1 more Smart Citation

Numerical Investigation of the Effect of Curvature and Reynold's Number to Radial Velocity in a Curved Porous Pipe

Mwangi¹,

Karanja²,

Kimathi³

2017

J Appl Computat Math

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“…In shaly-sand intervals clay minerals occupy pores or they cover the sand grains, thereby forming micro-pores and introducing micro-porosity (φ c ), which is the porosity below which there is no permeating flow (the percolation threshold) (Nabovati et al, 2009). In such cases, in place of effective porosity, useful porosity (φ use ) (http://www.spec2000.net) can be used, which is given as:…”

Section: U Vadapalli Et Al: Estimation Of Permeability Of a Sandstomentioning

confidence: 99%

Estimation of permeability of a sandstone reservoir by a fractal and Monte Carlo simulation approach: a case study

Vadapalli

Srivastava

Vedanti

et al. 2014

Nonlin. Processes Geophys.

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Abstract. Permeability of a hydrocarbon reservoir is usually estimated from core samples in the laboratory or from well test data provided by the industry. However, such data is very sparse and as such it takes longer to generate that. Thus, estimation of permeability directly from available porosity logs could be an alternative and far easier approach. In this paper, a method of permeability estimation is proposed for a sandstone reservoir, which considers fractal behavior of pore size distribution and tortuosity of capillary pathways to perform Monte Carlo simulations. In this method, we consider a reservoir to be a mono-dispersed medium to avoid effects of micro-porosity. The method is applied to porosity logs obtained from Ankleshwar oil field, situated in the Cambay basin, India, to calculate permeability distribution in a well.Computed permeability values are in good agreement with the observed permeability obtained from well test data. We also studied variation of permeability with different parameters such as tortuosity fractal dimension (D t ), grain size (r) and minimum particle size (d 0 ), and found that permeability is highly dependent upon the grain size. This method will be extremely useful for permeability estimation, if the average grain size of the reservoir rock is known.

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A general model for the permeability of fibrous porous media based on fluid flow simulations using the lattice Boltzmann method

Cited by 238 publications

References 54 publications

Modelling the diffusivity of mortar and concrete using a three-dimensional mesostructure with several aggregate shapes

Modelling the diffusivity of mortar and concrete using a three-dimensional mesostructure with several aggregate shapes

Numerical Investigation of the Effect of Curvature and Reynold's Number to Radial Velocity in a Curved Porous Pipe

Estimation of permeability of a sandstone reservoir by a fractal and Monte Carlo simulation approach: a case study

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