A lattice Boltzmann study of viscous coupling effects in immiscible two-phase flow in porous media

Yiotis, A. G.; Psihogios, John; Kainourgiakis, M.E.; Papaioannou, Antonios; Stubos, A.K.

doi:10.1016/j.colsurfa.2006.12.045

Cited by 145 publications

(73 citation statements)

References 35 publications

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“…This trend conforms to the previous literature studies. Further it can be observed that water relative permeability decreases with increasing viscosity ratio while oil relative permeability increases with increasing viscosity ratio which is in line with experimental, numerical and modeling studies [31,41,60]. This behaviour can be explained using lubrication effect [32,35,39].…”

Section: Effects Of Viscosity Ratio On Relative Permeability-saturatisupporting

confidence: 81%

“…For example, the reported effects of viscosity on K r -S w relationships in the literature have been inconsistent [31][32][33][34][35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

“…Another experimental study [33] shows that both oil (nonwetting) and water (wetting) relative permeability increase with increasing viscosity ratio. On the other hand, numerical and modeling studies [31,35,41] demonstrate that water relative permeability decreases while oil relative permeability increases with increasing viscosity ratio. These are obvious inconsistencies, which warrant further investigations.…”

Section: Introductionmentioning

confidence: 99%

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Scale dependency of dynamic relative permeability–satuartion curves in relation with fluid viscosity and dynamic capillary pressure effect

et al. 2016

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Capillary pressure-saturation-relative permeability relationships (P c -S w -K r ) are functions of importance in modeling and simulations of the hydrodynamics of two-phase flow in porous media. These relationships are found to be affected by porous medium and fluid properties but the manner in which they are affected is a topic of intense discussion. For example, reported trends in fluid viscosity and boundary conditions effects have been found to be contrary to each other in different studies. In this work, we determine the dependency of dynamic K r -S w relationships (averaged data) on domain scale in addition to investigating the effects of fluid viscosity and boundary pressure using silicone oil (i.e. 200 and 1000 cSt) and water as the respective non-wetting and wetting fluids with a view to eliminating some of the uncertainties reported in the literature. Water relative permeability, K rw , was found to increase with increasing wetting phase saturation but decreases with the increase in viscosity ratio. On the other hand, the oil relative permeability, K rnw , was found to increase with the increasing non-wetting phase saturation in addition to the increase in viscosity ratio. Also, it was found that with the increasing boundary pressure K rw decreases while K rnw increases. The influence of scale on relative permeability was slightly indicated in the non-wetting phase with K rnw decreasing as domain size increases. Effect of measurement location on dynamic relative permeability was explored which is rarely found in the literature. Comparison was also made between K r -S w relationships obtained under static and dynamic condition. Finally, mobility ratio (m) and dynamic coefficient (s) were plotted as a function of water saturation (S w ), which showed that m decreases as s increases at a given saturation, or vice versa.

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Section: Effects Of Viscosity Ratio On Relative Permeability-saturatisupporting

confidence: 81%

“…For example, the reported effects of viscosity on K r -S w relationships in the literature have been inconsistent [31][32][33][34][35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Scale dependency of dynamic relative permeability–satuartion curves in relation with fluid viscosity and dynamic capillary pressure effect

et al. 2016

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“…31 Similar approaches have been widely adopted by researchers in various multiphase LB models. [36][37][38][39][40] This two-phase LBGK model (i.e., color-fluid model) has been programmed into a computational software package in our research group and extensively validated through various test cases including verification of Laplace law, droplet deformation and breakup in simple shear flow, single bubble rising under buoyancy force, and the dynamic capillary intrusion. 23 Recently, this model was used to simulate liquid CO 2 displacement of water in a dual-permeability pore network, which reproduces three different displacement patterns observed in the previous micromodel experiments.…”

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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“…In the mean-field theory model, the interfacial tension is controlled by the parameter κ in F S , which plays a similar role as the interaction parameter G c in the inter-particle potential model, and therefore stationary bubble tests are required to obtain the value of interfacial tension in practical applications. In addition, in order to introduce wetting properties at the solid surface, Yiotis et al [139] proposed imposing ρ = ρ S on lattice nodes within the solid phase. By choosing ρ S , different contact angles can be achieved on the solid surface.…”

Section: Mean-field Theory 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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A lattice Boltzmann study of viscous coupling effects in immiscible two-phase flow in porous media

Cited by 145 publications

References 35 publications

Scale dependency of dynamic relative permeability–satuartion curves in relation with fluid viscosity and dynamic capillary pressure effect

Scale dependency of dynamic relative permeability–satuartion curves in relation with fluid viscosity and dynamic capillary pressure effect

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

Multiphase lattice Boltzmann simulations for porous media applications

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