A stokes permeability solver for three-dimensional porous media

Bentz, Dale P.; Martys, Nicos

doi:10.6028/nist.ir.7416

Cited by 25 publications

(15 citation statements)

References 14 publications

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“…A number of validation studies have been performed for FDM Stokes solvers. Bentz and Martys (2007) and Manwart et al (2002) tested their FDM solvers against analytical solutions for circular and square pipes and found the error for hydraulic conductance to be within 0.01-2%. reported.…”

Section: Validation Against Analytical Solutions Comparison To Lbm Amentioning

confidence: 99%

“…reported. Whilst validations on FDM and other models can be made on simple single pore geometries (Bentz and Martys (2007); Manwart et al (2002); Mostaghimi et al (2013)), these lack the pore-structure complexity exhibited in real porous media. In this section, we rigorously test our solver against analytical solutions for sphere packs and also compare it to a two-relaxation-times LBM scheme with three different 'magic number' parameters controlling the location of zerovelocity between adjacent solid and fluid voxels (Khirevich et al, 2015).…”

Section: Validation Against Analytical Solutions Comparison To Lbm Amentioning

confidence: 99%

“…The compressibility parameter ε significantly affects convergence time, although based on our extensive computations the computed permeabilities showed no dependence of ε after reaching steady-state (results not shown). The fixed value of ε =1.5×10 6 suggested by Bentz and Martys (2007) was found to be a compromise between convergence speed and numerical accuracy. (Schneider et al, 2012)).…”

Section: C2 Input Data and Parametersmentioning

confidence: 99%

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Finite-difference method Stokes solver (FDMSS) for 3D pore geometries: Software development, validation and case studies

Gerke

Vasilyev

Khirevich

et al. 2018

Computers & Geosciences

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Permeability is one of the fundamental properties of porous media and is required for largescale Darcian fluid flow and mass transport models. Whilst permeability can be measured directly at a range of scales, there are increasing opportunities to evaluate permeability from pore-scale fluid flow simulations. We introduce the free software Finite-Difference Method Stokes Solver (FDMSS) that solves Stokes equation using a finite-difference method (FDM) directly on voxelized 3D pore geometries (i.e. without meshing). Based on explicit convergence studies, validation on sphere packings with analytically known permeabilities, and comparison against lattice-Boltzmann and

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Section: Validation Against Analytical Solutions Comparison To Lbm Amentioning

confidence: 99%

Section: Validation Against Analytical Solutions Comparison To Lbm Amentioning

confidence: 99%

Section: C2 Input Data and Parametersmentioning

confidence: 99%

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Finite-difference method Stokes solver (FDMSS) for 3D pore geometries: Software development, validation and case studies

Gerke

Vasilyev

Khirevich

et al. 2018

Computers & Geosciences

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“…WITH EXPERIMENTAL VALUES A 3D Stokes permeability solver for porous media 13,16,[28][29][30] was used to predict the permeability of reconstructed 3D structures of pervious concretes. This solver has been recently used to predict the permeability of virtual pervious concretes.…”

Section: Permeability Prediction and Comparisonmentioning

confidence: 99%

“…4,9 Computational material science-based approaches have been successfully used to study cement hydration and microstructure and property development in conventional cement-based materials. [13][14][15][16] Recent studies 17 have successfully used a virtual pervious concrete pore structure for permeability estimation. This study deals with three-dimensional (3D) reconstruction of pervious concrete material structures from two-dimensional (2D) images of real pervious concrete specimens and the use of these reconstructed structures to predict the permeability.…”

Section: Introductionmentioning

confidence: 99%

Planar Image-Based Reconstruction of Pervious Concrete Pore Structure and Permeability Prediction

Sumanasooriya

Bentz

Neithalath

2010

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Transport properties of porous materials such as pervious concretes are inherently dependent on a variety of pore structure features. Empirical equations are typically used to relate the pore structure of a porous material to its permeability. In this study, a computational procedure is employed to predict the permeability of 12 different pervious concrete mixtures from three-dimensional (3D) material structures reconstructed from starting planar images of the original material. Two-point correlation (TPC) functions of the two-dimensional (2D) images from real pervious concrete specimens are employed along with the measured volumetric porosities in the reconstruction process. The pore structure features of the parent material and the reconstructed images are found to be similar. The permeabilities predicted using Darcy's law applied to the reconstructed structures and the experimentally measured permeabilities of pervious concretes are found to be in reasonably good agreement. The 3D reconstruction process provides a relatively inexpensive method (instead of methods such as X-ray tomography) to explore the nature of the pore space in pervious concretes and predict permeability, thus facilitating its use in understanding the changes in pore structure as a result of changes in mixture proportions.

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