Theoretical Analysis of Viscous Coupling in Two-phase Flow through Porous Media

Ayodele, Oluropo Rufus

doi:10.1007/s11242-005-2809-8

Cited by 15 publications

(7 citation statements)

References 30 publications

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“…1 The viscous coupling effect means the momentum transfer between the two fluids. 2 To account for viscous coupling effects, usually four dimensionless relative-permeability parameters k ij are used to measure the effective permeability of two-phase flow. They are defined by modifying Darcy's law as in 3 u i =−͚ j =1 2 ͑kk ij G j / j ͒, where i and j indicate phase 1 or 2 and u i is the average velocity of fluid phase i.…”

Section: A Two-phase Flow In Porous Mediamentioning

confidence: 99%

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

Huang¹,

Lu²

2009

Physics of Fluids

133

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In this paper, the viscous coupling effects for immiscible two-phase ͑gas-liquid͒ flow in porous media were studied using the Shan-Chen-type single-component multiphase lattice Boltzmann model. Using the model, the two-phase flows in porous media with density ratio as high as 56 could be simulated and the contact angle of the gas-liquid interface at a solid wall is adjustable. To investigate viscous coupling effects, the co-and countercurrent steady-state two-phase flow patterns and relative permeabilities as a function of wetting saturation were obtained for different capillary numbers, wettabilities, and viscosity ratios. The cocurrent relative permeabilities seem usually larger than the countercurrent ones. The opposing drag-force effect and different pore-level saturation distributions in co-and countercurrent flows may contribute to this difference. It is found that for both co-and countercurrent flows, for strongly wet cases and viscosity ratio M Ͼ 1, k nw increase with the driving force and the viscosity ratio. However, for neutrally wet cases, the variations of k nw and k w are more complex. It is also observed that different initial pore-level saturation distributions may affect final steady-state distribution, and hence the relative permeabilities. Using the cocurrent and countercurrent steady flow experiments to determine the generalized relative permeabilities seems not correct.

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Section: A Two-phase Flow In Porous Mediamentioning

confidence: 99%

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

Huang¹,

Lu²

2009

Physics of Fluids

133

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“…Theoretical analysis showed that the viscous coupling has significant effects on two‐phase flow in a single‐capillary (Ehrlich, ). However, its effect on two‐phase flow in porous media is very small (Ayodele, ; Bentsen, ; Rakotomalala et al, ), which is controlled by the square of porosity (Ayodele, ; Rakotomalala et al, ). The capillary coupling means the coupling of pressures that takes place across the interfaces located in a porous medium (Bentsen, ).…”

Section: Introductionmentioning

confidence: 99%

“…The capillary coupling means the coupling of pressures that takes place across the interfaces located in a porous medium (Bentsen, ). The capillary coupling is reported to be dependent on the porosity of the porous media and hence has more significant effects on two‐phase flow in porous media compared with the viscous coupling (Ayodele, ; Bentsen, ). Because the interfacial coupling occurs at the interfaces between fluids, its effect on two‐phase flow is strongly related to the fluid distribution.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Wettability Heterogeneity on Relative Permeability of Two‐Phase Flow in Porous Media: A Lattice Boltzmann Study

Zhao

Kang

et al. 2018

Water Resources Research

128

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Relative permeability is a critical parameter characterizing multiphase flow in porous media and it is strongly dependent on the wettability. In many situations, the porous media are nonuniformly wet. To investigate the effect of wettability heterogeneity on relative permeability of two‐phase flow in porous media, a multi‐relaxation‐time color‐gradient lattice Boltzmann model is adopted to simulate oil/water two‐phase flow in porous media with different oil‐wet solid fractions. For the water phase, when the water saturation is high, the relative permeability of water increases with the increase of oil‐wet solid fraction under a constant water saturation. However, as the water saturation decreases to an intermediate value (about 0.4–0.7), the relative permeability of water in fractionally wet porous media could be lower than that in purely water‐wet porous media, meaning additional flow resistance exists in the fractionally wet porous media. For the oil phase, similar phenomenon is observed. This phenomenon is mainly caused by the wettability‐related microscale fluid distribution. According to both our simulation results and theoretical analysis, it is found that the relative permeability of two‐phase flow in porous media is strongly related to three parameters: the fluid saturation, the specific interfacial length of fluid, and the fluid tortuosity in the flow direction. The relationship between the relative permeability and these parameters under different capillary numbers is explored in this paper.

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“…All of these parameters have already been defined by Bentsen (2001Bentsen ( , 2005, Ayodele and Bentsen (2004), Zhang et al (2005), and Ayodele (2006). Two continuity equations:…”

Section: Mathematical Formulationsmentioning

confidence: 99%

Theoretical Development of a Novel Equation for Dynamic Spontaneous Imbibition with Variable Inlet Saturation and Interfacial Coupling Effects

Yazzan

Bentsen

2010

Transp Porous Med

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In oil recovery from fractured reservoirs, dynamic spontaneous imbibition (DSI) plays an important role. Conventional equations used for characterizing dynamic spontaneous imbibition neglect the effects of the driving forces acting across the wetting and non-wetting phases which are flowing in opposite directions. Such effects, defined as interfacial coupling effects (ICE), are known to cause a decrease in the calculated flow rate in drainage processes. Moreover, none of the numerical models have considered a variable inlet saturation (S*) for DSI. A new theoretical model has been developed using generalized transport equations to describe dynamic spontaneous imbibition for immiscible two-phase flow processes. The inclusion of interfacial coupling effects provides a more accurate way to describe dynamic spontaneous imbibition. Furthermore, the addition of variable inlet saturation allows one to establish whether the inlet-face saturation (S*) increases from the initial saturation to 1−Sro, or whether it can remain constant and equal to one minus the residual saturation to the non-wetting phase (1−Sro).

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Theoretical Analysis of Viscous Coupling in Two-phase Flow through Porous Media

Cited by 15 publications

References 30 publications

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

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

The Effect of Wettability Heterogeneity on Relative Permeability of Two‐Phase Flow in Porous Media: A Lattice Boltzmann Study

Theoretical Development of a Novel Equation for Dynamic Spontaneous Imbibition with Variable Inlet Saturation and Interfacial Coupling Effects

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