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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,…

流体动力学 · 物理学 2025-10-23 Steffen Berg , Ryan T. Armstrong , Maja Rücker , Alex Hansen , Signe Kjelstrup , Dick Bedeaux

Slow flow of a single fluid through a porous medium is well understood on a macroscopic level through Darcy's law, a linear relation between flow rate and a combination of pressure differences, viscosity, and gravitational forces. Two-phase…

软凝聚态物质 · 物理学 2022-04-12 Joachim Falck Brodin , Marcel Moura , Renaud Toussaint , Knut Jorgen Maloy , Per Arne Rikvold

Two-phase flow systems in porous media have complex dynamics. It is well established that a wide range of system parameters like viscosities and porosity as well as flow parameters such as pressure gradient and fluid saturation have strong…

凝聚态物理 · 物理学 2007-05-23 Henning Arendt Knudsen , Alex Hansen

Predicting the flow of non-Newtonian fluids in porous structure is still a challenging issue due to the interplay betwen the microscopic disorder and the non-linear rheology. In this letter, we study the case of an yield stress fluid in a…

软凝聚态物质 · 物理学 2019-06-26 Chen Liu , Andrea De Luca , Alberto Rosso , Laurent Talon

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…

偏微分方程分析 · 数学 2023-07-03 Mathis Kelm , Carina Bringedal , Bernd Flemisch

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…

流体动力学 · 物理学 2025-10-15 Paolo Botticini , Davide Picchi , Santanu Sinha , Alex Hansen

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…

流体动力学 · 物理学 2012-06-06 Santanu Sinha , Alex Hansen

We construct a statistical mechanics for immiscible and incompressible two-phase flow in porous media under local steady-state conditions based on the Jaynes maximum entropy principle. A cluster entropy is assigned to our lack of knowledge…

流体动力学 · 物理学 2022-11-30 Alex Hansen , Eirik G. Flekkøy , Santanu Sinha , Per Arne Slotte

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…

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…

流体动力学 · 物理学 2026-05-13 Alexandra Karabasova , Sajjad Foroughi , Martin J. Blunt , Branko Bijeljic

We study an air-fluidized granular monolayer, composed of plastic spheres which roll on a metallic grid. The air current is adjusted so that the spheres never loose contact with the grid, so that the dynamics may be regarded as pseudo…

软凝聚态物质 · 物理学 2022-11-21 F. Vega Reyes , A. Rodríguez-Rivas , J. F. González-Saavedra , M. A. López-Castaño

The central problem in the physics of immiscible two-phase flow in porous media is to find a proper description of the flow at scales large enough so that the medium may be regarded as a continuum: the scale-up problem. So far, the only…

流体动力学 · 物理学 2026-03-11 Alex Hansen , Santanu Sinha

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)…

数值分析 · 数学 2021-06-29 David Seus , Florin A. Radu , Christian Rohde

Fractured porous media or double porosity media are common in nature. At the same time, accurate modeling remains a significant challenge due to bi-modal pore size distribution, anisotropy, multi-field coupling, and various flow patterns.…

地球物理 · 物理学 2024-06-13 Qi Zhang , Xia Yan , Jianli Shao

In this paper we present the two-level homogenization of the flow in a deformable double-porous structure described at two characteristic scales. The higher level porosity associated with the mesoscopic structure is constituted by channels…

计算物理 · 物理学 2020-06-30 Eduard Rohan , Jana Turjanicová , Vladimír Lukeš

We present in detail a set of algorithms to carry out fluid displacements in a dynamic pore-network model of immiscible two-phase flow in porous media. The algorithms are general and applicable to regular and irregular pore networks in two…

流体动力学 · 物理学 2019-07-31 Santanu Sinha , Magnus Aa. Gjennestad , Morten Vassvik , 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…

偏微分方程分析 · 数学 2017-04-05 Emine Celik , Luan Hoang , Akif Ibragimov , Thinh Kieu

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…

流体动力学 · 物理学 2024-06-07 Tairone Paiva Leão

This work presents a macroscopic model for the flow of two immiscible and incompressible fluids within inhomogeneous porous media. At the pore scale, the flow is governed by the full Navier-Stokes equations while the phase interface…

流体动力学 · 物理学 2026-03-02 Chunhua Zhang , Peiyao Liu , Cheng Peng , Lian-Ping Wang , Zhaoli Guo

An open-sourced multiphase Darcy-Brinkman approach is proposed to simulate two-phase flow in hybrid systems containing both solid-free regions and porous matrices. This micro-continuum model is rooted in elementary physics and volume…

计算物理 · 物理学 2021-03-15 Francisco J. Carrillo , Ian C. Bourg , Cyprien Soulaine
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