Saturation-dependencies of three-phase relative permeabilities in mixed-wet and fractionally wet systems

Dijke, Marinus Izaak Jan Van; Sorbie, Kenneth Stuart; McDougall, Steven Robert

doi:10.1016/s0309-1708(00)00062-2

Cited by 56 publications

(41 citation statements)

References 44 publications

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“…For these calculations we fix the ratio of interfacial tension σ 13 /σ 23 = 1.2 and vary the ratio σ 12 /σ 23 as well as the contact angles as shown in Table 1. Although the values of the contact angles are constrained by the Bartell-Osterhof equation (7) and an additional linear relationship between the cos θ ij as explained in [7,17], this does not restrict the generality of the method. Notice that cases 1 and 3 reflect the conditions of a spreading oil in a water-wet pore, since the spreading coefficient C S,2 = σ 13 − σ 12 − σ 23 yields C S,2 = 0, hence also θ 12 = 0.…”

Section: Numerical Examples For a Capillary With A Cross-section In Tmentioning

confidence: 99%

Free energy balance for three fluid phases in a capillary of arbitrarily shaped cross-section: capillary entry pressures and layers of the intermediate-wetting phase

Dijke

Lago

Sorbie

et al. 2004

Journal of Colloid and Interface Science

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Section: Numerical Examples For a Capillary With A Cross-section In Tmentioning

confidence: 99%

Free energy balance for three fluid phases in a capillary of arbitrarily shaped cross-section: capillary entry pressures and layers of the intermediate-wetting phase

Dijke

Lago

Sorbie

et al. 2004

Journal of Colloid and Interface Science

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“…In this model, the umbilic point is replaced by an elliptic region, which is small in size and importance. This class, as well as a class of more general models [50], is the subject of a future paper.…”

Section: Introductionmentioning

confidence: 99%

On a universal structure for immiscible three-phase flow in virgin reservoirs

et al. 2016

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We discuss the solution for commonly used models of the flow resulting from the injection of any proportion of three immiscible fluids such as water, oil, and gas in a reservoir initially containing oil and residual water. The solutions supported in the universal structure generically belong to two classes, characterized by the location of the injection state in the saturation triangle. Each class of solutions occurs for injection states in one of the two regions, separated by a curve of states for most of which the interstitial speeds of water and gas are equal. This is a separatrix curve because on one side water appears at breakthrough, while gas appears for injection states on the other side. In other words, the behavior near breakthrough is flow of oil and of the dominant phase, either water or gas; the nondominant phase is left behind. Our arguments are rigorous for the class of Corey models with convex relative permeability functions. They also hold for Stone's interpolation I model [5]. This description of the universal structure of solutions for the injection problems is valid for any values of phase viscosities. The inevitable presence of an umbilic point (or of an elliptic region for the Stone model) seems to be the cause of this universal solution structure. This universal structure was perceived recently in the particular case of quadratic Corey relative permeability models and with the injected state consisting of a mixture of water and gas but no oil [5]. However, the results of the present paper are more general in two ways. First, they are valid for a set of permeability functions that is stable under perturbations, the set of convex permeabilities. Second, they are valid for the injection of any proportion of three rather than only two phases that were the scope of [5].

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“…When the pore size distribution follows a truncated normal distribution, cos θow = 1. The contact angles of gas/oil and gas/water were calculated by the equations below [23]:…”

Section: Model Establishmentmentioning

confidence: 99%

Effect of the Pore Size Distribution on the Displacement Efficiency of Multiphase Flow in Porous Media

et al. 2016

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Due to the complexity of porous media, it is difficult to use traditional experimental methods to study the quantitative impact of the pore size distribution on multiphase flow. In this paper, the impact of two pore distribution function types for three-phase flow was quantitatively investigated based on a three-dimensional pore-scale network model. The results show that in the process of wetting phase displacing the non-wetting phase without wetting films or spreading layers, the displacement efficiency was enhanced with the increase of the two function distribution's parameters, which are the power law exponent in the power law distribution and the average pore radius or standard deviation in the truncated normal distribution, and vice versa. Additionally, the formation of wetting film is better for the process of displacement.

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Saturation-dependencies of three-phase relative permeabilities in mixed-wet and fractionally wet systems

Cited by 56 publications

References 44 publications

Free energy balance for three fluid phases in a capillary of arbitrarily shaped cross-section: capillary entry pressures and layers of the intermediate-wetting phase

Free energy balance for three fluid phases in a capillary of arbitrarily shaped cross-section: capillary entry pressures and layers of the intermediate-wetting phase

On a universal structure for immiscible three-phase flow in virgin reservoirs

Effect of the Pore Size Distribution on the Displacement Efficiency of Multiphase Flow in Porous Media

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