Evaluation of level set and phase field methods in modeling two phase flow with viscosity contrast through dual-permeability porous medium

Amiri, Hossein Ali Akhlaghi; Hamouda, Aly A.

doi:10.1016/j.ijmultiphaseflow.2012.12.006

Cited by 161 publications

(50 citation statements)

References 32 publications

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“…However, these "specialized" models cannot capture transitions between different regimes [18,31]. Grid-based methods with interface tracking such as volume of fluid (VOF) method and level set (LS) method have been proposed to study multiphase flow in porous media [32][33][34][35][36]. However, they suffer from numerical instability at the interface when interfacial tension becomes dominant for microdroplets [37].…”

Section: Introductionmentioning

confidence: 99%

Disorder characterization of porous media and its effect on fluid displacement

et al. 2019

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We investigate the effects of topological disorder and wettability on fluid displacement in porous media. A modified disorder index I v is proposed to characterize the disorder of porous media. By changing I v , different displacement patterns (stable displacement and fingering) under the same flow condition and fluid property are obtained. We analytically demonstrate how increase in disorder promotes fingering due to uneven distribution of local capillary pressure. It is shown that the displacement efficiency for different wettability conditions and disorder well correlates with the distribution of local capillary pressure. A power-law relation between fluid-fluid interfacial length and saturation of invading fluid is proposed by taking geometry into account, where the parameters in power-law relation can be predicted by the capillary index, I c , unifying the effects of topological disorder and wettability.

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Section: Introductionmentioning

confidence: 99%

Disorder characterization of porous media and its effect on fluid displacement

et al. 2019

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“…Popular methods for multiphase flow simulations include the volume of fluid [12] and level set [13] methods. More recently, the lattice Boltzmann technique, that belongs to the class of phase field methods, has shown its potential in the field of pore-scale multiphase fluid flow simulation [14].…”

Section: Introductionmentioning

confidence: 99%

Generalized three-dimensional lattice Boltzmann color-gradient method for immiscible two-phase pore-scale imbibition and drainage in porous media

et al. 2017

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This article presents a three-dimensional numerical framework for the simulation of fluid-fluid immiscible compounds in complex geometries, based on the multiple-relaxation-time lattice Boltzmann method to model the fluid dynamics and the color-gradient approach to model multicomponent flow interaction. New lattice weights for the lattices D3Q15, D3Q19, and D3Q27 that improve the Galilean invariance of the color-gradient model as well as for modeling the interfacial tension are derived and provided in the Appendix. The presented method proposes in particular an approach to model the interaction between the fluid compound and the solid, and to maintain a precise contact angle between the two-component interface and the wall. Contrarily to previous approaches proposed in the literature, this method yields accurate solutions even in complex geometries and does not suffer from numerical artifacts like nonphysical mass transfer along the solid wall, which is crucial for modeling imbibition-type problems. The article also proposes an approach to model inflow and outflow boundaries with the color-gradient method by generalizing the regularized boundary conditions. The numerical framework is first validated for three-dimensional (3D) stationary state (Jurin's law) and time-dependent (Washburn's law and capillary waves) problems. Then, the usefulness of the method for practical problems of pore-scale flow imbibition and drainage in porous media is demonstrated. Through the simulation of nonwetting displacement in two-dimensional random porous media networks, we show that the model properly reproduces three main invasion regimes (stable displacement, capillary fingering, and viscous fingering) as well as the saturating zone transition between these regimes. Finally, the ability to simulate immiscible two-component flow imbibition and drainage is validated, with excellent results, by numerical simulations in a Berea sandstone, a frequently used benchmark case used in this field, using a complex geometry that originates from a 3D scan of a porous sandstone. The methods presented in this article were implemented in the open-source PALABOS library, a general C++ matrix-based library well adapted for massive fluid flow parallel computation.

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“…The common goal in these approaches is to formulate thermodynamically consistent stress tensors and mesoscale balance laws, including the impact of surface tension on the momentum balance, as well as properly tracking interfacial dynamics [25]. Pore-scale modeling of immiscible two-phase flow using phase-field models has been done in [37][38][39]. We have successfully used the phase-field modeling framework to describe wetting and capillary phenomena in porous media, from unsaturated flow [40], thin films, and partial wetting [41,42] to pattern formation during immiscible displacement in Hele-Shaw flow [43].…”

Section: Introductionmentioning

confidence: 99%

Pore-scale modeling of phase change in porous media

Cueto‐Felgueroso

Juanes

2018

Phys. Rev. Fluids

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The combination of high-resolution visualization techniques and pore-scale flow modeling is a powerful tool used to understand multiphase flow mechanisms in porous media and their impact on reservoir-scale processes. One of the main open challenges in pore-scale modeling is the direct simulation of flows involving multicomponent mixtures with complex phase behavior. Reservoir fluid mixtures are often described through cubic equations of state, which makes diffuse-interface, or phase-field, theories particularly appealing as a modeling framework. What is still unclear is whether equation-of-state-driven diffuse-interface models can adequately describe processes where surface tension and wetting phenomena play important roles. Here we present a diffuse-interface model of single-component two-phase flow (a van der Waals fluid) in a porous medium under different wetting conditions. We propose a simplified Darcy-Korteweg model that is appropriate to describe flow in a Hele-Shaw cell or a micromodel, with a gap-averaged velocity. We study the ability of the diffuse-interface model to capture capillary pressure and the dynamics of vaporization-condensation fronts and show that the model reproduces pressure fluctuations that emerge from abrupt interface displacements (Haines jumps) and from the breakup of wetting films.

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Evaluation of level set and phase field methods in modeling two phase flow with viscosity contrast through dual-permeability porous medium

Cited by 161 publications

References 32 publications

Disorder characterization of porous media and its effect on fluid displacement

Disorder characterization of porous media and its effect on fluid displacement

Generalized three-dimensional lattice Boltzmann color-gradient method for immiscible two-phase pore-scale imbibition and drainage in porous media

Pore-scale modeling of phase change in porous media

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