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We consider an immiscible two-phase flow in a heterogeneous one-dimensional porous medium. We suppose particularly that the capillary pressure field is discontinuous with respect to the space variable. The dependence of the capillary…

Analysis of PDEs · Mathematics 2009-11-06 Clément Cancès

We present a theoretical and experimental investigation of slow drainage in porous media with a gradient in the grains size (and hence in the typical pores' throats), in an external gravitational field. We mathematically show that such…

Soft Condensed Matter · Physics 2022-03-30 Tom Vincent-Dospital , Marcel Moura , Renaud Toussaint , Knut Jørgen Måløy

The immiscible displacement of a fluid by another one inside a porous medium produces different types of patterns depending on the capillary number Ca and viscosity ratio M. At high Ca, viscous fingers resulting from the viscous instability…

Fluid Dynamics · Physics 2023-12-25 Santanu Sinha , Yves Méheust , Hursanay Fyhn , Subhadeep Roy , Alex Hansen

Recent X-ray imaging experiments have revealed that multiphase flow through porous media involves transient fluctuations in local occupancy, even under fixed macroscopic steady-state conditions where capillary forces dominate at the pore…

Fluid Dynamics · Physics 2026-05-13 Alexandra Karabasova , Sajjad Foroughi , Martin J. Blunt , Branko Bijeljic

We developed a new approach comprised of different visualizations for the comparative spatio-temporal analysis of displacement processes in porous media. We aim to analyze and compare ensemble datasets from experiments to gain insight into…

Graphics · Computer Science 2024-01-17 Alexander Straub , Nikolaos Karadimitriou , Guido Reina , Steffen Frey , Holger Steeb , Thomas Ertl

The flow of viscoelastic fluids in porous media is encountered in many practical applications, such as in the enhanced oil recovery process or in the groundwater remediation. Once the flow rate exceeds a critical value in such flows, an…

Fluid Dynamics · Physics 2022-09-28 A. Chauhan , S. Gupta , C. Sasmal

Viscous fingering occurs in the flow of two immiscible, viscous fluids between the plates of a Hele-Shaw cell. Due to pressure gradients or gravity, the initially planar interface separating the two fluids undergoes a Saffman-Taylor…

Soft Condensed Matter · Physics 2009-10-31 Michael Widom , Jose A. Miranda

An improved wetting boundary implementation strategy is proposed based on lattice Boltzmann color-gradient model in this paper. In this strategy, an extra interface force condition is demonstrated based on the diffuse interface assumption…

Fluid Dynamics · Physics 2017-07-06 Yuan Yu , Haihu Liu , Yonghao Zhang , Dong Liang

Viscous flows in a quasi-two-dimensional Hele-Shaw geometry can lead to an interfacial instability when one fluid, of viscosity $\eta_{in}$ displaces another of higher viscosity, $\eta_{out}$. Recent studies have shown that there is a delay…

Soft Condensed Matter · Physics 2017-04-11 Radha Ramachandran

When immiscible wetting and non-wetting fluids move in parallel in a porous medium, an instability may occur at sufficiently high capillary numbers so that interfaces between the fluids initially held in place by the porous medium are…

Disordered Systems and Neural Networks · Physics 2009-11-13 Thomas Ramstad , Alex Hansen

Viscous fingering of a miscible high viscosity slice of fluid displaced by a lower viscosity fluid is studied in porous media by direct numerical simulations of Darcy's law coupled to the evolution equation for the concentration of a solute…

Fluid Dynamics · Physics 2023-04-12 Anne De Wit , Yann Bertho , Michel Martin

Multiphase flow through a porous medium involves complex interactions between gravity, wettability and capillarity during drainage process. In contrast to these factors, the effect of pore distribution on liquid retention is less…

Soft Condensed Matter · Physics 2018-10-30 Guanzhe Cui , Mingchao Liu , Weijing Dai , Yixiang Gan

Detailed understanding of the couplings between fluid flow and solid deformation in porous media is crucial for the development of novel technologies relating to a wide range of geological and biological processes. A particularly…

Soft Condensed Matter · Physics 2021-06-23 Francisco J. Carrillo , Ian C. Bourg

Fluid flow through bimodal porous media, characterized by a distinct separation in pore size distribution, is critical in various scientific and engineering applications, including groundwater management, oil and gas production, and carbon…

Fluid Dynamics · Physics 2024-09-06 Yuhe Wang , Yating Wang

We study the effect of local wettability reversal on remobilizing immobile fluid clusters in steady-state two-phase flow in porous media. We consider a two dimensional network model for porous medium and introduce a wettability alteration…

Fluid Dynamics · Physics 2012-02-07 Santanu Sinha , Morten Grøva , Torgeir Bryge Ødegården , Erik Skjetne , Alex Hansen

Viscous fingering patterns can form at the interface between two immiscible fluids confined in the gap between a pair of flat plates; whenever the fluid with lower viscosity displaces the one of higher viscosity the interface is unstable.…

Fluid Dynamics · Physics 2019-04-03 Thomas E. Videbæk , Sidney R. Nagel

We present pore-scale simulations of two-phase flows in a reconstructed fibrous porous layer. The three dimensional microstructure of the material, a fuel cell gas diffusion layer, is acquired via X-ray computed tomography and used as input…

Gravity-driven infiltration of liquid water into unsaturated porous media can be a spatially heterogeneous process due to the gravity fingering instability. When such infiltration occurs in a subfreezing porous medium, liquid water can…

Fluid Dynamics · Physics 2024-08-01 Nathan Jones , Adrian Moure , Xiaojing Fu

Droplet mobility under shear flows is important in a wide range of engineering applications, e.g., fog collection, and self-cleaning surfaces. For structured surfaces to achieve superhydrophobicity, the removal of stains adhered within the…

Fluid Dynamics · Physics 2022-05-02 Si Suo , Haibo Zhao , Shervin Bagheri , Peng Yu , Yixiang Gan

Rapid and sustained condensate droplet departure from a surface is key towards achieving high heat transfer rates in condensation, a physical process critical to a broad range of industrial and societal applications. Despite progress in…