2018
DOI: 10.1103/physrevfluids.3.104001
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Quasistatic fluid-fluid displacement in porous media: Invasion-percolation through a wetting transition

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Cited by 62 publications
(110 citation statements)
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“…Many of the usual approaches to the problem (such as the traditional invasion percolation algorithm [39]) do not take such effects into consideration and this can lead to large errors in the estimation of quantities such as the phase saturation and other related measures that depend on it (e.g., water retention and relative permeability curves). There is a clear need for a continuation of the important efforts initiated by other researchers [46][47][48][49]51] in the direction of extending the traditional models to include film flow effects for a more accurate description of porous media flows.…”
Section: Discussionmentioning
confidence: 99%
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“…Many of the usual approaches to the problem (such as the traditional invasion percolation algorithm [39]) do not take such effects into consideration and this can lead to large errors in the estimation of quantities such as the phase saturation and other related measures that depend on it (e.g., water retention and relative permeability curves). There is a clear need for a continuation of the important efforts initiated by other researchers [46][47][48][49]51] in the direction of extending the traditional models to include film flow effects for a more accurate description of porous media flows.…”
Section: Discussionmentioning
confidence: 99%
“…An important step in the modeling of two-phase flows was given recently in Ref. [51] in which the incorporation of wettability and film flow effects into a model similar to invasion percolation has led to the appropriate description of quasi-2D displacements in porous media, particularly in the challenging strong imbibition regime.…”
Section: Introductionmentioning
confidence: 99%
“…Multiphase flow in porous media has been studied both experimentally using micromodels [12,15,16,[25][26][27] and numerically by a range of simulation methods. Pore-network (PN) models, though computationally efficient, have limited predictive capability and accuracy due to simplification of pore geometries and/or flow equations [28][29][30]. Statistical models including diffusionlimited aggregation (DLA), anti-DLA, and invasion percolation (IP) have been used to simulate VF, SD, and CF, respectively.…”
Section: Introductionmentioning
confidence: 99%
“…As one of the factors that influences multiphase flow in porous media, wettability (the relative affinity of the substrate to each of the fluids, and measured by the contact angle θ ) has been studied for decades. While much is now known about the role of wettability on multiphase displacements in porous media [32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47], fundamental gaps remain in the context of grain-scale mechanisms and their macroscale consequences. Given the importance of capillarity on the fracture of granular packs [10,14,21,22,24], here we focus on the impact of wetting properties on the emergence of such fracture patterns.…”
mentioning
confidence: 99%
“…The model employs an analog of the pore network geometry, where resistors, batteries, and capacitors are responsible for viscous, out-of-plane, and in-plane Laplace pressure drops, respectively. The fluid-fluid interface is represented as a moving capacitor-when the interface advances, the Laplace pressure increases until it encounters a burst (equivalent to a Haines jump), touch (touches the nearest particle), or overlap event (coalesces with a neighboring interface) [35,36,43]. These events determine how the interface advances, enlisting one or more new particles when a node on the interface reaches its filling capacity and becomes unstable.…”
mentioning
confidence: 99%