A pore-resolved interface tracking algorithm for simulating multiphase flow in arbitrarily structured porous media

Zhongzheng Wang (1, 2, 3) , Jean-Michel Pereira (1) , Emilie Sauret (3) , Saman Aryana (4) , Zhang Shi (2, 5) , Yixiang Gan (2)

1 NAVIER UMR 8205 - Laboratoire Navier
2 The University of Sydney
3 QUT - Queensland University of Technology [Brisbane]
4 UW - University of Wyoming
5 UQ [All campuses : Brisbane, Dutton Park Gatton, Herston, St Lucia and other locations] - The University of Queensland

We present an interface tracking algorithm that incorporates essential pore-scale invasion mechanisms for simulating multiphase flow in porous media in capillary dominated regime. The algorithm allows the capture of the actual shape of porous medium with complex geometrical features, including both convex and concave particles or irregular channels. It also incorporates the sharp edge pinning effect such that pinning of menisci at corners can be naturally taken into account. We firstly conduct simulations under imbibition and drainage conditions in a single junction micromodel and in disordered porous media for validation. It is shown that the invasion mechanisms at pore scale are accurately captured, and the macroscopic invasion morphology in porous media are reproduced. A series of simulations for fluid displacement processes are carried out across a wide range of intrinsic contact angles in a two-dimensional representation of a Berea sandstone. The transition between stable displacement and capillary fingering is characterized using displacement efficiency, fractal dimension, and fluid-fluid interfacial length. This work deepens the understanding of fluid-fluid displacement processes in porous media. Furthermore, the presented interface tracking algorithm offers a highly efficient tool for further exploration of effects of wettability, geometry, and topology on multiphase flow in realistic porous materials.

Mots clés: Multiphase flow; interface tracking algorithm; pore-network model; wettability; porous media

Domaines: Mécanique des fluides [physics.class-ph]

Zhongzheng Wang, Jean-Michel Pereira, Emilie Sauret, Saman Aryana, Zhang Shi, et al.. A pore-resolved interface tracking algorithm for simulating multiphase flow in arbitrarily structured porous media. Advances in Water Resources, 2022, 162, pp.104152. ⟨10.1016/j.advwatres.2022.104152⟩. ⟨hal-03905451⟩