Computation of the interfacial area for two-fluid porous medium systems

Dalla, E.; Hilpert, Markus; Miller, Cass T.

doi:10.1016/s0169-7722(01)00202-9

Cited by 113 publications

(153 citation statements)

References 43 publications

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“…For larger Sw A* decrease slightly. This result is markedly different for that reported previously for the case of liquids in dispersive contact [19,22,33]. For these systems a maximum value of the interfacial area is reached when Sw is in the range 0.2-0.3.…”

Section: Effect Of the Wetting Phase Saturationcontrasting

confidence: 95%

“…The length of the fingers is mainly controlled by the free space between the spheres while the curvature is controlled by the contact angle and the gap between the spheres. [19,22] Thus, structures with low porosity, which have small pores, tend to form shorter fingers. The length of a pendular liquid bridge is limited by the balance between the free energy in the wetting phase-solid interface and the liquid-liquid interface.…”

Section: Relationship Between the Liquid-liquid Interface And The Solmentioning

confidence: 99%

“…On the other hand, numerical simulations and theoretical models are useful to gain a better understanding of the shape and extent of the interface and its relationship with parameters as porosity, grain size and contact angle. There are several theoretical and empirical models in the literature to quantify the interfacial areas in porous media [18][19][20][21][22]. All these studies were carried out on systems where a phase is dispersed into the other, i.e.…”

Section: Introductionmentioning

confidence: 99%

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Simulation of liquid–liquid interfaces in porous media

García

Boulet

Denoyel

et al. 2016

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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Graphical abstractHighlights  Incidence of porous membrane structure on the interface extent between two liquids has been studied  The numerical model was generated by using the Lubachevsky-Stilliger algorithm. The simulated annealing method was applied to minimize the energy of the liquid-liquid interface  A systematic study of the effect of the contact angle on the liquid-liquid interface has been performed. The contact angle and porosity are the most important properties controlling the extent of liquid-liquid interfaces. AbstractThe properties of the interface of two immiscible fluids play an important role in several processes such as membrane supported liquid extraction, enhance oil recovery, aquifer remediation, etc. In this paper the spatial distribution of two immiscible liquids in non-dispersive contact via a porous media is studied by using numerical simulations. The simulations are carried at pore-scale by minimizing the total interfacial energy using the simulated annealing method. This technique allows us to compute the spatial distribution of fluids in the pores without assuming the geometry of the solid or the interface. The studied solids are made of randomly packed spheres either monodispersed or bi-dispersed. The effect of pore size distribution, tortuosity, porosity and contact angle on the liquid-liquid interface extent and geometry is analyzed. The simulations demonstrate that liquid-liquid interface follows a simple linear correlation with the contact angle. At low contact angle the wetting phase extents into the non-wetting phase forming pendular liquid bridges.The continuity of the phases is evaluated. The liquid-liquid interface is mostly continuous for all the contact angles.

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Section: Effect Of the Wetting Phase Saturationcontrasting

confidence: 95%

Section: Relationship Between the Liquid-liquid Interface And The Solmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Simulation of liquid–liquid interfaces in porous media

García

Boulet

Denoyel

et al. 2016

Colloids and Surfaces A: Physicochemical and Engineering Aspect

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“…According with experimental data, reported among others in [9], and porenetwork numerical simulation, see e.g. [10], local variations of the macroscopic capillary pressure are accompanied not only by changes in the saturation degree but also by changes in the average interfacial area anw, which accounts for the local cumulative measure of the interfaces between the non wetting and the wetting phase (per unit volume of the Representative Volume Element, RVE).…”

Section: Micro-scale Interpretation Of the Generalized Constitutive Lmentioning

confidence: 72%

“…At the stationary state, equation (9) reduces to a fourth order partial differential equation in the space variable, which is definitely similar to the one prescribing the mass density distribution of a Cahn-Hilliard fluid at equilibrium. However a fundamental additional term is here accounted for, say the derivative of U with respect to Sr, which allows for describing the confining effect on the non-uniform fluid, due to the presence of the porous skeleton.…”

Section: Characterization Of the Pore-fluidmentioning

confidence: 96%

Formulation of a phase field model of multiphase flow in deformable porous media

Sciarra

2016

E3S Web Conf.

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Abstract. In this contribution a new model for partially saturated porous media is presented, within the framework of gradient poromechanics, based on a phase field approach. While the standard retention curve is expected still to provide the intrinsic retention properties of the porous skeleton, depending on the porous texture, an enhanced description of the surface tension between the wetting and the non-wetting fluid, occupying the pore space, is stated considering a regularized phase field model based on an additional contribution to the overall free energy depending on the saturation gradient. This approach provides similar results as those of the model based on the concept of specific interfacial area. The dependence of the free energy on the gradient of the saturation also implies that Darcy law must be extended to become a fourth order partial differential equation.

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Quantification of capillary trapping of gas clusters using X-ray microtomography

et al. 2014

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A major difficulty in modeling multiphase flow in porous media is the emergence of trapped phases. Our experiments demonstrate that gas can be trapped in either single-pores, multipores, or in large connected networks. These large connected clusters can comprise up to eight grain volumes and can contain up to 50% of the whole trapped gas volume. About 85% of the gas volume is trapped by multipore gas clusters. This variety of possible trapped gas clusters of different shape and volume will lead to a better process understanding of bubble-mediated mass transfer. Since multipore gas bubbles are in contact with the solid surface through ultrathin adsorbed water films the interfacial area between trapped gas clusters and intergranular capillary water is only about 80% of the total gas surface. We could derive a significant (R 2 5 0.98) linear relationship between the gas-water-interface and gas saturation. We found no systematic dependency of the front velocity of the invading water phase in the velocity range from 0.1 to 0.6 cm/min corresponding to capillary numbers from 2 3 10 27 to 10 26 . Our experimental results indicate that the capillary trapping mechanism is controlled by the local pore structure and local connectivity and not by thermodynamics, i.e., by the minimum of the Free Energy, at least in the considered velocity range. Consistent with this physical picture is our finding that the trapping frequency (5 bubble-size distribution) reflects the pore size distribution for the whole range of pore radii, i.e., the capillary trapping process is determined by statistics and not by thermodynamics.

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Computation of the interfacial area for two-fluid porous medium systems

Cited by 113 publications

References 43 publications

Simulation of liquid–liquid interfaces in porous media

Simulation of liquid–liquid interfaces in porous media

Formulation of a phase field model of multiphase flow in deformable porous media

Quantification of capillary trapping of gas clusters using X-ray microtomography

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