Investigation of two-phase flow in porous media using lattice Boltzmann method

Taghilou, Mohammad; Rahimian, Mohammad Hassan

doi:10.1016/j.camwa.2013.08.005

Cited by 25 publications

(9 citation statements)

References 23 publications

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“…Both the fluid kinetic viscosity and the surface tension are considered by changing the liquidvapor density ratio M. The liquid-vapor kinetic viscosity ra- tio and the surface tension increase with increasing M [33]. The permeating process are enhanced by the increasing of the surface tension, leading to the smaller droplet lifetime [34]. In addition, the variation of fluid properties has fewer effects on the spreading-permeation process than that of solid properties.…”

Section: Effects Of Fluid Propertiesmentioning

confidence: 99%

Droplet spreading and permeating on the hybrid-wettability porous substrates: a lattice Boltzmann method study

Wenkai

et al. 2016

Open Physics

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Abstract:The spreading and permeation of droplets on porous substrates is a fundamental process in a variety of applications, such as coating, dyeing, and printing. The spreading and permeating usually occur synchronously but play different roles in the practical applications. The mechanisms of the competition between spreading and permeation is significant but still unclear. A lattice Boltzmann method is used to study the spreading and permeation of droplets on hybrid-wettability porous substrates, with different wettability on the surface and the inside pores. The competition between the spreading and the permeation processes is studied in this work from the effects of the substrate and the fluid properties, including the substrate wettability, the porous parameters, as well as the fluid surface tension and viscosity. The results show that increasing the surface wettability and the porosity contact angle both inhibit the spreading and the permeation processes. When the inside porosity contact angle is larger than 90 ∘ (hydrophobic), the permeation process does not occur. The droplets suspend on substrates with Cassie state. The droplets are more easily to permeate into substrates with a small inside porosity contact angle (hydrophilic), as well as large pore sizes. Otherwise, the droplets are more easily to spread on substrate surfaces with small surface contact angle (hydrophilic) and smaller pore sizes. The competition between droplet spreading and permeation is also related to the fluid properties. The permeation process is enhanced by increasing of surface

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Section: Effects Of Fluid Propertiesmentioning

confidence: 99%

Droplet spreading and permeating on the hybrid-wettability porous substrates: a lattice Boltzmann method study

Wenkai

et al. 2016

Open Physics

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“…The continuity equation represents conservation of mass for fluid flow, which can be written as [ 14 ],

Here v represents the velocity of fluid flow. The fluid is assumed to be continuous and incompressible.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…In LBM, the discrete form of Boltzmann equation, which is solved over a regular lattice grid, is used to conduct the simulation of fluid flow in the porous media [ 10 , 11 ]. While Navier-Stokes equations are usually adopted in FEM [ 12 ], two-dimensional (2D) [ 13 , 14 ] and three-dimensional (3D) [ 15 – 17 ] pore networks of heterogeneous porous media are used in these simulations. The 2D models usually reproduce disorder system in porous media properly but are unable to reproduce the spatial interconnectivity of pore systems.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation on Hydromechanical Coupling in Porous Media Adopting Three-Dimensional Pore-Scale Model

Liu

Song

Cui

2014

The Scientific World Journal

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A novel approach of simulating hydromechanical coupling in pore-scale models of porous media is presented in this paper. Parameters of the sandstone samples, such as the stress-strain curve, Poisson's ratio, and permeability under different pore pressure and confining pressure, are tested in laboratory scale. The micro-CT scanner is employed to scan the samples for three-dimensional images, as input to construct the model. Accordingly, four physical models possessing the same pore and rock matrix characteristics as the natural sandstones are developed. Based on the micro-CT images, the three-dimensional finite element models of both rock matrix and pore space are established by MIMICS and ICEM software platform. Navier-Stokes equation and elastic constitutive equation are used as the mathematical model for simulation. A hydromechanical coupling analysis in pore-scale finite element model of porous media is simulated by ANSYS and CFX software. Hereby, permeability of sandstone samples under different pore pressure and confining pressure has been predicted. The simulation results agree well with the benchmark data. Through reproducing its stress state underground, the prediction accuracy of the porous rock permeability in pore-scale simulation is promoted. Consequently, the effects of pore pressure and confining pressure on permeability are revealed from the microscopic view.

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“…These regimes strongly depend on the capillary number, viscosity ratio, and Bond number. Taghilou and Rahimian (2014) investigated the penetration of a liquid drop in a porous media using the Lee and Liu (2010) method. The method of Lee and Liu (2010) was based on the Chan-Hilliard theory in the lattice Boltzmann method.…”

Section: Introductionmentioning

confidence: 99%

“…The method of Lee and Liu (2010) was based on the Chan-Hilliard theory in the lattice Boltzmann method. Taghilou and Rahimian (2014) generated the porous medium by locating square obstacles randomly in a domain. They studied the effects of the Reynolds number, the Froude number, the Weber number, viscosity, and density ratios.…”

Section: Introductionmentioning

confidence: 99%

Predicting the Penetration and Navigating the Motion of a Liquid Drop in a Layered Porous Medium: Viscous Fingering vs. Capillary Fingering

Nazari

Salehabadi

Kayhani

et al. 2018

Braz. J. Chem. Eng.

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In this paper, penetration of a liquid drop in a layered porous medium as well as its motion navigation was investigated using the lattice Boltzmann method (LBM). The porous medium was generated by locating square obstacles randomly in the each layer which would cause the layered porosity in the domain. Two regimes of penetration; (a) capillary fingering regime and (b) viscous fingering regime were used for this study. The relationship between the porosity and the penetration rate was studied. The effect of porous surface type (i.e., hydrophobicity or hydrophilicity) on the penetration rate and penetration pattern was also investigated. A new parameter, called "Percent of hydrophobicity", was defined such that each layer of the porous medium could have multiple properties. This means that in each layer some solid elements might be randomly hydrophobic or hydrophilic. Using this hydrophobicity coefficient, one could navigate the motion of the liquid in such porous media.

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Investigation of two-phase flow in porous media using lattice Boltzmann method

Cited by 25 publications

References 23 publications

Droplet spreading and permeating on the hybrid-wettability porous substrates: a lattice Boltzmann method study

Droplet spreading and permeating on the hybrid-wettability porous substrates: a lattice Boltzmann method study

Numerical Simulation on Hydromechanical Coupling in Porous Media Adopting Three-Dimensional Pore-Scale Model

Predicting the Penetration and Navigating the Motion of a Liquid Drop in a Layered Porous Medium: Viscous Fingering vs. Capillary Fingering

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