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We study the flow generated by an incompressible viscoelastic fluid in a fractured porous medium. The model consists of a fluid flow governed by Stokes-Volterra equations evolving in a periodic double-porosity medium. Using the multiscale…

Analysis of PDEs · Mathematics 2014-07-30 Jean Louis Woukeng

We investigate two-phase flow in porous media and derive a two-scale model, which incorporates pore-scale phase distribution and surface tension into the effective behavior at the larger Darcy scale. The free-boundary problem at the pore…

Analysis of PDEs · Mathematics 2023-07-03 Mathis Kelm , Carina Bringedal , Bernd Flemisch

The problem of two-phase flow in straight capillaries of polygonal cross section displays many of the dynamic characteristics of rapid interfacial motions associated with pore-scale displacements in porous media. Fluid inertia is known to…

Fluid Dynamics · Physics 2018-07-03 Alexander Yelkhovsky , W. Val Pinczewski

Multiphase flow in porous media underpins subsurface energy and environmental technologies, including geological CO$_2$ storage and underground hydrogen storage, yet pore-scale dynamics in realistic three-dimensional materials remain…

This study presents a first-principles model to predict the two-phase pressure drop in gas-liquid intermittent flow through round capillaries, which serve as the simplest analogous of a porous medium. Building upon the classical capillary…

Fluid Dynamics · Physics 2025-10-15 Paolo Botticini , Davide Picchi , Santanu Sinha , Alex Hansen

We have simulated the temporal evolution of pressure due to capillary and viscous forces in two-phase drainage in porous media. We analyze our result in light of macroscopic flow equations for two-phase flow. We also investigate the effect…

Fluid Dynamics · Physics 2009-10-31 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen

The viscous flow of two immiscible fluids in a porous medium on the Darcy scale is governed by a system of nonlinear parabolic equations. If infinite mobility of one phase can be assumed (e.g. in soil layers in contact with the atmosphere)…

Numerical Analysis · Mathematics 2021-06-29 David Seus , Florin A. Radu , Christian Rohde

We present results from extensive 3-d molecular dynamics (MD) simulations of phase separation kinetics in fluids. A coarse-graining procedure is used to obtain state-of-the-art MD results. We observe an extended period of temporally linear…

Statistical Mechanics · Physics 2015-05-19 Shaista Ahmad , Subir K. Das , Sanjay Puri

The displacement of multiphase fluid flow in a pore doublet is a fundamental problem, and is also of importance in understanding of the transport mechanisms of multiphase flows in the porous media. During the displacement of immiscible…

Fluid Dynamics · Physics 2023-06-14 Fang Shan , Zhenhua Chai , Baochang Shi , Meng Zhao

We demonstrate through numerical simulations and a mean field calculation that immiscible two-phase flow in a porous medium behaves effectively as a Bingham viscoplastic fluid. This leads to a generalized Darcy equation where the volumetric…

Fluid Dynamics · Physics 2012-06-06 Santanu Sinha , Alex Hansen

We show that when a non-wetting fluid drains a stratified porous medium at sufficiently small capillary numbers Ca, it flows only through the coarsest stratum of the medium; by contrast, above a threshold Ca, the non-wetting fluid is also…

Fluid Dynamics · Physics 2013-01-23 Sujit S. Datta , David A. Weitz

Pressure controlled displacement of an oil/water interface is studied in dense packings of functionalized glass beads with well-defined spatial wettability correlations. An enhanced dissipation is observed if the typical extension $\xi$ of…

In this study, we investigate the appeared complexity of two-phase flow (air-water) in a heterogeneous soil where the supposed porous media is non-deformable media which is under the time-dependent gas pressure. After obtaining of governing…

Computational Engineering, Finance, and Science · Computer Science 2010-05-20 Hamed . O. Ghaffari

The macroscopic spreading and mixing of solute plumes in saturated porous media is ultimately controlled by processes operating at the pore scale. Whilst the conventional picture of pore-scale mechanical dispersion and molecular diffusion…

Fluid Dynamics · Physics 2020-04-24 D. R. Lester , M. G. Trefry , Guy Metcalfe

The relationship between the microstructure of a porous medium and the observed flow distribution is still a puzzle. We resolve it with an analytical model, where the local correlations between adjacent pores, which determine the…

Fluid Dynamics · Physics 2017-10-16 Karen Alim , Shima Parsa , David A. Weitz , Michael P. Brenner

We present an experimental study of immiscible, two-phase fluid flow through a three-dimensional porous medium consisting of randomly-packed, monodisperse glass spheres. Our experiments combine refractive-index matching and laser-induced…

In this article we calculate the surface phase diagram of a two-dimensional hard-rod fluid confined between two hard lines. In a first stage we study the semi-infinite system consisting of an isotropic fluid in contact with a single hard…

Statistical Mechanics · Physics 2009-11-13 Yuri Martinez-Raton

In the last decades, significant progress has been made in understanding the multiphase displacement through porous media with homogeneous wettability and its relation to the pore geometry. However, the role of wettability at the scale of…

Soft Condensed Matter · Physics 2012-06-01 Marta S. de La Lama , Martin Brinkmann

We report and discuss, by means of pore-scale numerical simulations, the possibility of achieving a directional-dependent two-phase flow behaviour during the process of invasion of a viscous fluid into anisotropic porous media with…

Fluid Dynamics · Physics 2021-10-27 Dario Maggiolo , Francesco Picano , Federico Toschi

We consider the process of convective dissolution in homogeneous and isotropic porous media. The flow is unstable due to the presence of a solute that induces a density difference responsible for driving the flow. The mixing dynamics is…

Fluid Dynamics · Physics 2024-08-02 Marco De Paoli , Christopher J. Howland , Roberto Verzicco , Detlef Lohse