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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…

An outstanding characteristic of porous media, desired in many applications, is the large surface area, which facilitates solid-fluid interactions, making porous media an extreme case in colloid and interface science. In two-fluid systems,…

Fluid Dynamics · Physics 2025-10-23 Steffen Berg , Ryan T. Armstrong , Maja Rücker , Alex Hansen , Signe Kjelstrup , Dick Bedeaux

We use confocal microscopy to directly visualize the spatial fluctuations in fluid flow through a three-dimensional porous medium. We find that the velocity magnitudes and the velocity components both along and transverse to the imposed…

Soft Condensed Matter · Physics 2013-08-07 Sujit S. Datta , Harry Chiang , T. S. Ramakrishnan , David A. Weitz

The behaviour of two dimensional binary and ternary amphiphilic fluids under flow conditions is investigated using a hydrodynamic lattice gas model. After the validation of the model in simple cases (Poiseuille flow, Darcy's law for single…

Soft Condensed Matter · Physics 2009-10-31 J. -B. Maillet , Peter V. Coveney

We study single-phase flow in a fractured porous medium at a macroscopic scale that allows to model fractures individually. The flow is governed by Darcy's law in both fractures and porous matrix. We derive a new mixed-dimensional model,…

Numerical Analysis · Mathematics 2023-08-08 Samuel Burbulla , Maximilian Hörl , Christian Rohde

We use confocal microscopy to directly visualize the simultaneous flow of both a wetting and a non-wetting fluid through a model three-dimensional (3D) porous medium. We find that, for small flow rates, both fluids flow through unchanging,…

Soft Condensed Matter · Physics 2014-06-30 Sujit S. Datta , Jean-Baptiste Dupin , David A. Weitz

We present experiments and theory describing the transition from viscosity-stabilized flow to gravitationally unstable fingering for two-phase flow in a 3D synthetic porous medium. Observation is made possible by the use of our newly…

We present the visual analysis of our novel parameter study of porous media experiments, focusing on gaining a better understanding of drainage processes on the micro-scale. We analyze the temporal evolution of extracted characteristic…

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 perform direct numerical simulations of the flow through a model of a deformable porous medium. Our model is a two-dimensional hexagonal lattice, with defects, of soft elastic cylindrical pillars, with elastic shear modulus $G$, immersed…

Fluid Dynamics · Physics 2021-09-09 Marco E. Rosti , Satyajit Pramanik , Luca Brandt , Dhrubaditya Mitra

The estimation of the permeability of porous media to fluids is of fundamental importance in fields as diverse as oil and gas industry, agriculture, hydrology and medicine. Despite more than 150 years since the publication of Darcy's linear…

Fluid Dynamics · Physics 2024-06-07 Tairone Paiva Leão

Two-phase flow in porous media is a ubiquitous phenomenon that has been studied for well over a century. However, we still lack a successful theory that predicts flow on a macroscopic length scale (the so-called Darcy scale) on the basis of…

Fluid Dynamics · Physics 2026-03-10 Santanu Sinha , Humberto Carmona , José S. Andrade , Alex Hansen

In this paper, we extend the Darcy law for micropolar fluid flow in a thin porous medium. This provides a framework for understanding how a fluid's microstructural properties, the geometry of the porous medium and the thickness of the…

Analysis of PDEs · Mathematics 2025-08-07 María Anguiano , Francisco J. Suárez-Grau

In this paper we study stationary incompressible Newtonian fluid flow in a thin porous media. The media under consideration is a bounded perforated $3D$ domain confined between two parallel plates. The description of the domain includes two…

Analysis of PDEs · Mathematics 2025-12-17 Francisco J. Suárez-Grau

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

We present an experimental and numerical study of immiscible two-phase flow in 3-dimensional (3D) porous media to find the relationship between the volumetric flow rate ($Q$) and the total pressure difference ($\Delta P$) in the steady…

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

Two-fluid interfaces in porous media, an example of driven disordered systems, were studied by a real time three-dimensional imaging technique with pore scale resolution for a less viscous fluid displacing a more viscous one. With…

Soft Condensed Matter · Physics 2011-03-23 Prerna Sharma , P. Aswathi , Anit Sane , Shankar Ghosh , S. Bhattacharya

We study average flow properties in porous media using a two-dimensional network simulator. It models the dynamics of two-phase immiscible bulk flow where film flow can be neglected. The boundary conditions are biperiodic which provide a…

Soft Condensed Matter · Physics 2007-05-23 Henning Arendt Knudsen , Alex Hansen

In porous media, there are three known regimes of fluid flows, namely, pre-Darcy, Darcy and post-Darcy. Because of their different natures, these are usually treated separately in literature. To study complex flows when all three regimes…

Analysis of PDEs · Mathematics 2017-04-05 Emine Celik , Luan Hoang , Akif Ibragimov , Thinh Kieu
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