Pore-Scale Level Set Simulations of Capillary-Controlled Displacement with Adaptive Mesh Refinement

Friis, Helmer André; Pedersen, Janne; Jettestuen, Espen; Helland, Johan Olav; Prodanović, Maša

doi:10.1007/s11242-019-01238-6

Cited by 13 publications

(5 citation statements)

References 53 publications

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“…After each calculated equilibrium state using equation ( 7), we can increase or decrease C stepwise to simulate drainage or imbibition, respectively. A more detailed description of the LS method with numerical validation and applications are provided by Jettestuen et al [27], Helland et al [17], and Friis et al [11].…”

Section: Level Set Methods For Two-phase Capillary-controlled Displac...mentioning

confidence: 99%

“…The increase in refined area is Fig. 20 Simulation results from gas invasion on Castlegate sandstone using AMR and coarse, uniform grid: (a) Saturation paths, and (b) gaswater capillary pressure curves due to the swelling of water layers which increases interfacial area between oil and water [11,17]. At later stages, both the number of grid cells and the number of patches in the computational geometry decrease as oil is displaced.…”

Section: Two-phase Imbibitionmentioning

confidence: 99%

“…It is an effective tool for improving the accuracy of numerical simulations while maintaining reasonable computational efficiency [10]. In general, there are two main categories for AMR implementation, the patch-based approach [4,11,14] and the tree-based approach [46,63,70]. The patch-based approach requires tagging unresolved regions using special refinement criteria and then grouping these grid cells into patches with a finer mesh [14].…”

Section: Introductionmentioning

confidence: 99%

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Adaptive mesh refinement in locally conservative level set methods for multiphase fluid displacements in porous media

et al. 2023

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Multiphase flow in porous media often occurs with the formation and coalescence of fluid ganglia. Accurate predictions of such mechanisms in complex pore geometries require simulation models with local mass conservation and with the option to improve resolution in areas of interest. In this work, we incorporate patch-based, structured adaptive mesh refinement capabilities into a method for local volume conservation that describes the behaviour of disconnected fluid ganglia during level set simulations of capillary-controlled displacement in porous media. We validate the model against analytical solutions for three-phase fluid configurations in idealized pores containing gas, oil, and water, by modelling the intermediate-wet oil layers as separate domains with their volumes preserved. Both the pressures and volumes of disconnected ganglia converge to analytical values with increased refinement levels of the adaptive mesh. Favourable results from strong and weak scaling tests emphasize that the number of patches per processor and the total number of patches are important parameters for efficient parallel simulations with adaptive mesh refinement. Simulations of two-phase imbibition and three-phase gas invasion on segmented 3D images of water-wet sandstone show that adaptive mesh refinement has the highest impact on three-phase displacements, especially concerning the behaviour of the conserved, intermediate-wet phase.

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Section: Level Set Methods For Two-phase Capillary-controlled Displac...mentioning

confidence: 99%

Section: Two-phase Imbibitionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Adaptive mesh refinement in locally conservative level set methods for multiphase fluid displacements in porous media

et al. 2023

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“…Normally, in particle-based approaches, the fluid domain is illustrated as corresponding sets of many particles whose motion is a result of interactions within the pore space as well as the solid particles. Generally, different numerical methods are considered to fall within the general class of particle-based methods (Dai et al, 2017;Friis et al, 2019;Zhu et al, 2016)…”

Section: Particle-based Methodsmentioning

confidence: 99%

A Comprehensive Review of the Simulation Methods for Analysis at the Pore-scale

Szűcs

Vehovszky²,

Sanders³

2023

Period. Polytech. Transp. Eng.

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Fluid flow through porous material is relevant in different fields of engineering, such as in engine and vehicle development, and can be supported through CFD simulation. Numerical simulations at the pore-scale can be used to replace or reduce expensive laboratory measurements. These methods offer a valuable opportunity to connect the pore-scale properties of the porous material with displacement processes on the continuum-scale. Furthermore, they allow researchers to specify crucial flow properties, e.g., capillary pressure, which are crucial for REV-scale research. Three main methods, direct numerical, pore network modeling, and hybrid approaches, are widely used in order to analyze the pore-scale mechanics of fluid flow behavior through porous materials with CFD simulations. The present comprehensive review demonstrates and highlights the significant advantages, disadvantages, and critical challenges in the pore-scale fluid flow simulations. The main challenges include the characterization of material properties, and up-scaling process from pore to continuum or field-scale.

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“…The most common description of wettability is via the contact angle between the fluids and the surface. Most studies of porous media consider a static (equilibrium) contact angle, namely identical advancing and receding contact angles, ignoring the effect of hysteresis related to the direction of advancement or flow velocity (dynamics) (Rabbani et al, 2017;Friis et al, 2019;Rabbani and Seers, 2019;Ambekar et al, 2021b;Jettestuen et al, 2021;Yang et al, 2021c), in contrast with the more picture exposed by experimental and theoretical studies showing different advancing and receding contact angles (Lam et al, 2002;Chibowski, 2007) as well as contact angle variations in both space (due to the surface roughness and chemistry) (Alhammadi et al, 2017;AlRatrout et al, 2017;Nazari et al, 2022) and time (Bandara et al, 2016). Neglecting these aspects can lead to discrepancies in the predicted displacement patterns (Tembely et al, 2020).…”

Section: Wettability Effectsmentioning

confidence: 99%

Pore-scale modeling of solute transport in partially-saturated porous media

Saeibehrouzi,

Abolfathi,

Denissenko

et al. 2024

Preprint

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Solute transport in partially-saturated porous media plays a key role in multiple applications across scales, from the migration of nutrients and contaminants in soils to geological energy storage and recovery. Our understanding of transport in unsaturated porous media remains limited compared to the well-studied saturated case. The focus of this review is the non-reactive transport driven by the displacement of immiscible fluids, where the fluid-fluid interface acts as a barrier that limits the solute to a single fluid phase. State-of-the-art pore-scale models are described, with a critical analysis of the gaps and challenges. A numerical example is provided to demonstrate the acute sensitivity of solute transport prediction to minute, inevitable uncertainties in the spatial distribution of the fluids’ velocities and interface configuration associated with the multiphase flow modeling.

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Pore-Scale Level Set Simulations of Capillary-Controlled Displacement with Adaptive Mesh Refinement

Cited by 13 publications

References 53 publications

Adaptive mesh refinement in locally conservative level set methods for multiphase fluid displacements in porous media

Adaptive mesh refinement in locally conservative level set methods for multiphase fluid displacements in porous media

A Comprehensive Review of the Simulation Methods for Analysis at the Pore-scale

Pore-scale modeling of solute transport in partially-saturated porous media

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