Relative permeabilities and coupling effects in steady-state gas-liquid flow in porous media: A lattice Boltzmann study

Huang, Haibo; Lu, Xi‐Yun

doi:10.1063/1.3225144

Cited by 131 publications

(52 citation statements)

References 27 publications

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“…This phenomenon can be explained by the fact that a decrease in porosity causes the decrease of pore size, leading to the increase of the capillary pressure for water phase. [30][31][32][33][34][35] permeability of unsaturated porous rocks predicted using our model agrees well with the experimental data [30][31][32][33][34] and model the results. 35 The validity of the proposed model for the water relative permeability of unsaturated porous rocks is thus verified.…”

Section: Fractal Methods and Calculationssupporting

confidence: 85%

A Fractal Model for Water Flow Through Unsaturated Porous Rocks

et al. 2018

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In this work, considering the effect of porosity, pore size, saturation of water and tortuosity fractal dimension, an analytical model for the capillary pressure and water relative permeability is derived in unsaturated porous rocks. Besides, the formulas of calculating the capillary pressure and water relative permeability are given by taking into account the fractal distribution of pore size and tortuosity of capillaries. It can be seen that the capillary pressure for water phase decreases with the increase of saturation in unsaturated porous rocks. It is found that the capillary pressure for water phase decreases as the tortuosity fractal dimension decreases. It is further seen that the capillary pressure for water phase increases with the decrease of porosity, and at low porosity, the capillary pressure increases sharply with the decrease of porosity. Besides, it can be observed that the water relative permeability increases with the increase of saturation in unsaturated porous rocks. This predicted the capillary pressure and water relative permeability of unsaturated porous rocks based on the proposed models which are in good agreement with the experimental data and model predictions reported in the literature. § Corresponding author. This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited. 1840015-1 B. Xiao et al.The proposed model improved the understanding of the physical mechanisms of water flow through unsaturated porous rocks.

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Section: Fractal Methods and Calculationssupporting

confidence: 85%

A Fractal Model for Water Flow Through Unsaturated Porous Rocks

et al. 2018

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“…[37,43,97,98,[197][198][199][200][201][202][203][204][205][206][207], because of its simplicity and easy implementation. Pan et al [197] used the MCMP inter-particle potential model to simulate two-phase flow in a porous medium comprised of a synthetic packing with a relatively uniform distribution of spheres.…”

Section: Inter-particle Potential Modelmentioning

confidence: 99%

“…The inter-particle potential model has also been used to determine relative permeabilities [199,200,204,207]. Effects of capillary number, wettability, and viscosity ratio, as well as the porous structures on the relative permeability were investigated in detail.…”

Section: Inter-particle Potential Modelmentioning

confidence: 99%

Multiphase lattice Boltzmann simulations for porous media applications

et al. 2015

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Over the last two decades, lattice Boltzmann methods have become an increasingly popular tool to compute the flow in complex geometries such as porous media. In addition to single phase simulations allowing, for example, a precise quantification of the permeability of a porous sample, a number of extensions to the lattice Boltzmann method are available which allow to study multiphase and multicomponent flows on a pore scale level. In this article, we give an extensive overview on a number of these diffuse interface models and discuss their advantages and disadvantages. Furthermore, we shortly report on multiphase flows containing solid particles, as well as implementation details and optimization issues.

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“…6,9 The lattice Boltzmann method (LBM) has been developed as an attractive and promising numerical tool for pore-scale simulation of multiphase flows in porous media. [10][11][12][13][14] Unlike porenetwork models, 6,15,16 which use a simplified representation of pore geometry and approximate transient flow with a steady-state Poiseuille law, LBM models complex multiphase flows in domain with realistic pore geometries. The fundamental idea of the LBM is to construct simplified kinetic models that incorporate the essential physics of microscopic or mesoscopic processes to ensure that the macroscopic averaged properties obey the desired macroscopic equations.…”

Section: Introductionmentioning

confidence: 99%

Lattice Boltzmann simulation of immiscible fluid displacement in porous media: Homogeneous versus heterogeneous pore network

2015

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Injection of anthropogenic carbon dioxide (CO 2 ) into geological formations is a promising approach to reduce greenhouse gas emissions into the atmosphere. Predicting the amount of CO 2 that can be captured and its long-term storage stability in subsurface requires a fundamental understanding of multiphase displacement phenomena at the pore scale. In this paper, the lattice Boltzmann method is employed to simulate the immiscible displacement of a wetting fluid by a non-wetting one in two microfluidic flow cells, one with a homogeneous pore network and the other with a randomly heterogeneous pore network. We have identified three different displacement patterns, namely, stable displacement, capillary fingering, and viscous fingering, all of which are strongly dependent upon the capillary number (Ca), viscosity ratio (M), and the media heterogeneity. The non-wetting fluid saturation (S nw ) is found to increase nearly linearly with log Ca for each constant M. Increasing M (viscosity ratio of non-wetting fluid to wetting fluid) or decreasing the media heterogeneity can enhance the stability of the displacement process, resulting in an increase in S nw . In either pore networks, the specific interfacial length is linearly proportional to S nw during drainage with equal proportionality constant for all cases excluding those revealing considerable viscous fingering. Our numerical results confirm the previous experimental finding that the steady state specific interfacial length exhibits a linear dependence on S nw for either favorable (M ≥ 1) or unfavorable (M < 1) displacement, and the slope is slightly higher for the unfavorable displacement. C 2015 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License. [http://dx

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Relative permeabilities and coupling effects in steady-state gas-liquid flow in porous media: A lattice Boltzmann study

Cited by 131 publications

References 27 publications

A Fractal Model for Water Flow Through Unsaturated Porous Rocks

A Fractal Model for Water Flow Through Unsaturated Porous Rocks

Multiphase lattice Boltzmann simulations for porous media applications

Lattice Boltzmann simulation of immiscible fluid displacement in porous media: Homogeneous versus heterogeneous pore network

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