Pore scale study of flow in porous media: Scale dependency, REV, and statistical REV

Zhang, Dongxiao; Zhang, Raoyang; Chen, Shiyi; Soll, W.E.

doi:10.1029/1999gl011101

Cited by 275 publications

(189 citation statements)

References 12 publications

Supporting

Mentioning

168

Contrasting

Unclassified

Order By: Relevance

“…Each pore of the medium should contain several lattice nodes. To make the macroscopic quantities, such as permeability or porosity, almost constant in LBM simulations, more than 240 3 lattices is required (10) . Namely, the approach at the pore scale is perhaps unrealistic to simulate the fluid flow in porous media at the representative elementary volume (REV) scale that is the minimum size to determine the macroscopic quantities.…”

Section: Journal Of Thermal Science and Technologymentioning

confidence: 99%

Thermal Lattice Boltzmann Model for Incompressible Flows through Porous Media

Seta

Takegoshi

Kitano

et al. 2006

JTST

View full text Add to dashboard Cite

In this paper, the lattice Boltzmann method (LBM) is applied to simulation of natural convection in porous media using Brinkman-Forchheimer equation. The BrinkmanForchheimer equation is recovered from a kinetic equation for the density distribution function that has a forcing term and the equilibrium distribution function including the porosity. The temperature equation which neglects the compression work done by the pressure and the viscous heat dissipation is calculated by a kinetic equation for thermal energy distribution function. The velocity and temperature profiles of the LBM shows good agreement with those of the finite difference method (FDM) for the Poiseuille flow filled with a porous medium and with the analytical solutions for the porous plate problem. The stream lines and isothermal patterns show that the LB model is able to keep the same accuracy with the FDM. For various values of Darcy and Rayleigh numbers, and of porosities, the solutions of the LBM are compared with those of earlier studies. The numerical experiment shows excellent agreement for the Brinkmanextended Darcy model and for the Brinkman-Forchheimer model. This paper leads to the conclusion that the LBM can simulate natural convection in porous media in both Darcy and non-Darcy region at the representative elementary volume scale.

show abstract

Section: Journal Of Thermal Science and Technologymentioning

confidence: 99%

Thermal Lattice Boltzmann Model for Incompressible Flows through Porous Media

Seta

Takegoshi

Kitano

et al. 2006

JTST

View full text Add to dashboard Cite

show abstract

“…The solute transport model uses this velocity field for the advection term and calculates the solute concentration at each node in the system. The LB method and lattice gas automata have been used to study permeability, retardation, and dispersion at the pore scale [Zhang et al, 2000;Stockman, 1997]. Recent work has simulated entrapment and subsequent dissolution of nonwetting fluids in 3-D porous media [Marlys and Chen, 1996;Miller et al, 1998].…”

Section: Introductionmentioning

confidence: 99%

Pore‐scale modeling of dissolution from variably distributed nonaqueous phase liquid blobs

Knutson¹,

Werth²,

Valocchi³

2001

Water Resources Research

View full text Add to dashboard Cite

Abstract. Contamination of groundwater by nonaqueous phase liquids (NAPLs) is widely recognized as a serious environmental problem. Predicting the dissolution, fate, and transport of these organic chemicals in the subsurface is challenging because geological heterogeneity exists at numerous scales. To better understand heterogeneity at the pore scale, we use the lattice Boltzmann (LB) method to simulate water flow and solute transport from distributed NAPL blobs in a two-dimensional porous media. The LB method approximates the momentum and mass transport equations at the pore scale, easily incorporating complex boundary conditions of the porous media. The effects of NAPL blob configuration and Peclet number (Pe) on steady state mass transfer are studied at 7% and 15% NAPL saturation. We find that the solute flux out of the simulated system decreases substantially as the transverse length over which NAPL blobs are distributed decreases; for example, the solute flux is reduced by a factor of 2 by confining the NAPL blobs to only half of the transverse length. Values of Sherwood numbers determined from our simulations are slightly less than values determined from previously published mass transfer correlations. Our results indicate that pore-scale NAPL configuration significantly affects mass transfer and that correlations should be modified to account for it. We find that the dimensionless mass transfer coefficient increases with Pe for the values used in our simulations, where the rate of increase decreases with increasing Pe. We observe that much of the variability in computed mass transfer coefficients is accounted for by differences in the NAPL-water interfacial area at high Pe. However, at lower Pe, variability remains due to NAPL configuration.

show abstract

“…В ра-боте [Zhang et al, 2000] введено понятие статистически репрезентативного объема, или SREV (от английского statistically representative volume). Образец является статистически репрезентативным, если стандартное отклонение рассматриваемого свойства меньше 10 % его среднего значения, полученного для всех реализа-ций.…”

Section: анализ трехмерных изображенийunclassified

Effect of CTimage scale on macro-scale properties estimation

2016

View full text Add to dashboard Cite

В работе представлен анализ микротомографических изображений песчаника, полученных при разной разрешающей способности съемки. Показано, что при высокой детализации съемки (1 мкм на воксель), с одной стороны, объем трехмерного изображения чрезвычайно мал и не является репре-зентативным даже для оценок пористости и взаимного распределения поры-скелет. С другой сторо-ны, такого разрешения недостаточно для анализа поверхности зерен. Изображения с разрешением 3-5 мкм на воксель позволяют статистически достоверно оценить топологические свойства порового пространства, распределение поры-скелет и транспортные свойства образца и проводить дальнейшее построение макроскоростной модели пороупругой среды. Novosibirsk, 630090, Russia, We present analysis of sandstone micro-CT scans obtained with different resolution. We show that use of fine resolution (about 1 micrometer per voxel) do not provide valuable information about the core structure and for the pore surface analysis and makes the sample nonrepresentative even for porosity estimation. Scans with resolution of 3-5 μm per voxel allow to get statistically reliable estimates of the reciprocal pore-to-core distribution, topological properties of the pore space and transport properties of the sample. Using this information one can reconstruct the macroscopic model of poroelastic media. Трехмерное изображение образца горной породы, репрезентативный объем, поровое пространство, транспортные свойства горной породы, топологические и геометрические свойства порового пространства EFFECT OF CT-IMAGE SCALE ON MACRO-SCALE PROPERTIES ESTIMATION3D images of core samples, statistically representative volume, pore space, transport properties of the rock, topological and geometrical properties of the pore space ВВЕДЕНИЕ

show abstract

Pore scale study of flow in porous media: Scale dependency, REV, and statistical REV

Cited by 275 publications

References 12 publications

Thermal Lattice Boltzmann Model for Incompressible Flows through Porous Media

Thermal Lattice Boltzmann Model for Incompressible Flows through Porous Media

Pore‐scale modeling of dissolution from variably distributed nonaqueous phase liquid blobs

Effect of CTimage scale on macro-scale properties estimation

Contact Info

Product

Resources

About