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

被引:190
作者
Manwart, C [1 ]
Aaltosalmi, U
Koponen, A
Hilfer, R
Timonen, J
机构
[1] Univ Stuttgart, ICA 1, D-70569 Stuttgart, Germany
[2] Univ Jyvaskyla, Dept Phys, FIN-40351 Jyvaskyla, Finland
[3] Johannes Gutenberg Univ Mainz, Inst Phys, D-55099 Mainz, Germany
来源
PHYSICAL REVIEW E | 2002年 / 66卷 / 01期
关键词
D O I
10.1103/PhysRevE.66.016702
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Numerical micropermeametry is performed on three-dimensional porous samples having a linear size of approximately 3 mm and a resolution of 7.5 mum. 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.
引用
收藏
页码:1 / 016702
页数:11
相关论文
共 48 条
[1]  
ADLER PM, 1992, POROUS MEDIA
[2]  
[Anonymous], ADV CHEM PHYS
[3]   THE LATTICE BOLTZMANN-EQUATION - THEORY AND APPLICATIONS [J].
BENZI, R ;
SUCCI, S ;
VERGASSOLA, M .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1992, 222 (03) :145-197
[4]   Quantitative analysis of experimental and synthetic microstructures for sedimentary rock [J].
Biswal, B ;
Manwart, C ;
Hilfer, R ;
Bakke, S ;
Oren, PE .
PHYSICA A, 1999, 273 (3-4) :452-475
[5]   HYDRAULIC AND ACOUSTIC PROPERTIES AS A FUNCTION OF POROSITY IN FONTAINEBLEAU SANDSTONE [J].
BOURBIE, T ;
ZINSZNER, B .
JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH AND PLANETS, 1985, 90 (NB13) :1524-1532
[6]   Gravity in a lattice Boltzmann model [J].
Buick, JM ;
Greated, CA .
PHYSICAL REVIEW E, 2000, 61 (05) :5307-5320
[7]   Realization of fluid boundary conditions via discrete Boltzmann dynamics [J].
Chen, HD ;
Teixeira, C ;
Molvig, K .
INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 1998, 9 (08) :1281-1292
[8]   On boundary conditions in lattice Boltzmann methods [J].
Chen, SY ;
Martinez, D ;
Mei, RW .
PHYSICS OF FLUIDS, 1996, 8 (09) :2527-2536
[9]  
Chopard B., 1998, Cellular Automata Modeling of Physical Systems
[10]  
Dullien F.A., 2012, Porous Media: Fluid Transport and Pore Structure