Lattice-Boltzmann and finite difference simulations for the permeability of three-dimensional porous media

C. Manwart, U. Aaltosalmi, Antti Koponen, R. Hilfer, J. timonen

Research output: Contribution to journalArticleScientificpeer-review

165 Citations (Scopus)

Abstract

Numerical micropermeametry is performed on three-dimensional porous samples having a linear size of approximately 3 mm and a resolution of 7.5μm.
One of the samples is a microtomographic image of Fontainebleau sandstone. Two of the samples are stochastic reconstructions with the same porosity, specific surface area, and two-point correlation function as the Fontainebleau sample.
The fourth sample is a physical model that mimics the processes of sedimentation, compaction, and diagenesis of Fontainebleau sandstone. The permeabilities of these samples are determined by numerically solving at low Reynolds numbers the appropriate Stokes equations in the pore spaces of the samples.
The physical diagenesis model appears to reproduce the permeability of the real sandstone sample quite accurately, while the permeabilities of the stochastic reconstructions deviate from the latter by at least an order of magnitude.
This finding confirms earlier qualitative predictions based on local porosity theory.
Two numerical algorithms were used in these simulations. One is based on the lattice-Boltzmann method, and the other on conventional finite-difference techniques. The accuracy of these two methods is discussed and compared, also with experiment.
Original languageEnglish
Number of pages11
JournalPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
Volume66
Issue number016702
DOIs
Publication statusPublished - 2002
MoE publication typeA1 Journal article-refereed

Fingerprint

Lattice Boltzmann
Permeability
Porous Media
Finite Difference
permeability
Three-dimensional
Simulation
sandstones
simulation
Physical Model
Porosity
porosity
Finite Difference Technique
Compaction
Low Reynolds number
Sedimentation
Stokes Equations
Lattice Boltzmann Method
low Reynolds number
Surface area

Cite this

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title = "Lattice-Boltzmann and finite difference simulations for the permeability of three-dimensional porous media",
abstract = "Numerical micropermeametry is performed on three-dimensional porous samples having a linear size of approximately 3 mm and a resolution of 7.5μm.One of the samples is a microtomographic image of Fontainebleau sandstone. Two of the samples are stochastic reconstructions with the same porosity, specific surface area, and two-point correlation function as the Fontainebleau sample. The fourth sample is a physical model that mimics the processes of sedimentation, compaction, and diagenesis of Fontainebleau sandstone. The permeabilities of these samples are determined by numerically solving at low Reynolds numbers the appropriate Stokes equations in the pore spaces of the samples. The physical diagenesis model appears to reproduce the permeability of the real sandstone sample quite accurately, while the permeabilities of the stochastic reconstructions deviate from the latter by at least an order of magnitude. This finding confirms earlier qualitative predictions based on local porosity theory. Two numerical algorithms were used in these simulations. One is based on the lattice-Boltzmann method, and the other on conventional finite-difference techniques. The accuracy of these two methods is discussed and compared, also with experiment.",
author = "C. Manwart and U. Aaltosalmi and Antti Koponen and R. Hilfer and J. timonen",
year = "2002",
doi = "10.1103/PhysRevE.66.016702",
language = "English",
volume = "66",
journal = "Physical review E",
issn = "2470-0045",
publisher = "American Physical Society",
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Lattice-Boltzmann and finite difference simulations for the permeability of three-dimensional porous media. / Manwart, C.; Aaltosalmi, U.; Koponen, Antti; Hilfer, R.; timonen, J.

In: Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, Vol. 66, No. 016702, 2002.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Lattice-Boltzmann and finite difference simulations for the permeability of three-dimensional porous media

AU - Manwart, C.

AU - Aaltosalmi, U.

AU - Koponen, Antti

AU - Hilfer, R.

AU - timonen, J.

PY - 2002

Y1 - 2002

N2 - Numerical micropermeametry is performed on three-dimensional porous samples having a linear size of approximately 3 mm and a resolution of 7.5μm.One of the samples is a microtomographic image of Fontainebleau sandstone. Two of the samples are stochastic reconstructions with the same porosity, specific surface area, and two-point correlation function as the Fontainebleau sample. The fourth sample is a physical model that mimics the processes of sedimentation, compaction, and diagenesis of Fontainebleau sandstone. The permeabilities of these samples are determined by numerically solving at low Reynolds numbers the appropriate Stokes equations in the pore spaces of the samples. The physical diagenesis model appears to reproduce the permeability of the real sandstone sample quite accurately, while the permeabilities of the stochastic reconstructions deviate from the latter by at least an order of magnitude. This finding confirms earlier qualitative predictions based on local porosity theory. Two numerical algorithms were used in these simulations. One is based on the lattice-Boltzmann method, and the other on conventional finite-difference techniques. The accuracy of these two methods is discussed and compared, also with experiment.

AB - Numerical micropermeametry is performed on three-dimensional porous samples having a linear size of approximately 3 mm and a resolution of 7.5μm.One of the samples is a microtomographic image of Fontainebleau sandstone. Two of the samples are stochastic reconstructions with the same porosity, specific surface area, and two-point correlation function as the Fontainebleau sample. The fourth sample is a physical model that mimics the processes of sedimentation, compaction, and diagenesis of Fontainebleau sandstone. The permeabilities of these samples are determined by numerically solving at low Reynolds numbers the appropriate Stokes equations in the pore spaces of the samples. The physical diagenesis model appears to reproduce the permeability of the real sandstone sample quite accurately, while the permeabilities of the stochastic reconstructions deviate from the latter by at least an order of magnitude. This finding confirms earlier qualitative predictions based on local porosity theory. Two numerical algorithms were used in these simulations. One is based on the lattice-Boltzmann method, and the other on conventional finite-difference techniques. The accuracy of these two methods is discussed and compared, also with experiment.

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