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A major challenge in flow through porous media is to better understand the link between microstructure and macroscale flow and transport. For idealised microstructures, the mathematical framework of homogenisation theory can be used for…

In this article we investigate the permeability of a porous medium as given in Darcy's law. The permeability is described by an effective hydraulic pore radius in the porous medium, the fluctuation in local hydraulic pore radii, the length…

Fluid Dynamics · Physics 2015-05-12 Carl Fredrik Berg

This study addresses the issue of whether or not a normal distribution appropriately represents permeability variations. To do so, (i) the distribution of local fibre volume fraction for each tow is experimentaly determined by estimation of…

Soft Condensed Matter · Physics 2016-01-13 Masoud Bodaghi , Salimeh Yasaei , Nuno Correia

Immiscible fluid displacement in porous media is fundamental for many environmental processes, including infiltration of water in soils, groundwater remediation, enhanced recovery of hydrocarbons and carbon geosequestration. Microstructural…

Fluid Dynamics · Physics 2019-05-22 Oshri Borgman , Thomas Darwent , Enrico Segre , Lucas Goehring , Ran Holtzman

Water injection in the aquifer induces deformations in the soil. These mechanical deformations give rise to a change in porosity and permeability, which results in non-linearity of the mathematical problem. Assuming that the deformations…

Numerical Analysis · Mathematics 2020-04-21 Menel Rahrah , Luis A. Lopez-Peña , Fred Vermolen , Bernard Meulenbroek

The permeability of a porous medium is strongly affected by its local geometry and connectivity, the size distribution of the solid inclusions and the pores available for flow. Since direct measurements of the permeability are time…

Fluid Dynamics · Physics 2012-05-15 I. Zinovik , D. Poulikakos

Unraveling the relation between the chemical structure of small drug-like compounds and their rate of passive permeation across lipid membranes is of fundamental importance for pharmaceutical applications. The elucidation of a comprehensive…

Chemical Physics · Physics 2018-12-31 Roberto Menichetti , Kiran H. Kanekal , Tristan Bereau

Periodic forcing of flow in compressible porous media is an important driver for solute dispersion and mixing in geological and engineered porous media subject for example to tides, pumping and recharge cycles, or fluid injection and…

Fluid Dynamics · Physics 2025-06-17 Satoshi Tajima , Marco Dentz

When a fluid carrying a passive solute flows quickly through porous media, three key macroscale transport mechanisms occur. These mechanisms are diffusion, advection and dispersion, all of which depend on the microstructure of the porous…

Fluid Dynamics · Physics 2024-10-16 Lucy C Auton , Mohit P. Dalwadi , Ian M. Griffiths

Miscible multiphase flow in porous media is a key phenomenon in various industrial and natural processes, such as hydrogen storage and geological carbon sequestration. However, the parameters controlling the patterns of displacement and…

Fluid Dynamics · Physics 2023-12-19 Yahel Eliyahu-Yakir , Ludmila Abezga , Yaniv Edery

We study phase field equations based on the diffuse-interface approximation of general homogeneous free energy densities showing different local minima of possible equilibrium configurations in perforated/porous domains. The study of such…

Chemical Physics · Physics 2013-10-08 Markus Schmuck , Grigorios A. Pavliotis , Serafim Kalliadasis

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 timedependent gas pressure. After obtaining of governing…

Computational Engineering, Finance, and Science · Computer Science 2010-09-01 Hamed O. Ghaffari

In the field of nanoconfined fluids, there are striking examples of deformation/transport coupling in which mechanical solicitation of the confining host and dynamics of the confined fluid impact each other. While this intriguing behavior…

Computational Physics · Physics 2024-04-01 Alexander Schlaich , Matthieu Vandamme , Marie Plazanet , Benoit Coasne

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

Understanding processes in porous media is fundamental to a broad spectrum of environmental, energy, and geoscience applications. These processes include multiphase fluid transport, interfacial dynamics, reactive transformations, and…

Fluid Dynamics · Physics 2025-10-08 Na Liu , Jakub Wiktor Both , Geir Ersland , Jan Martin Nordbotten , Martin Fernø

Understanding porous media properties and their scale dependence have been an active subject of research in the past several decades in hydrology, geosciences and petroleum engineering. The scale dependence of flow in porous media is…

Geophysics · Physics 2021-01-22 Misagh Esmaeilpour , Behzad Ghanbarian , Feng Liang , Hui-Hai Liu

The prediction of pressure and flow distributions inside porous membranes is important if the geometry deviates from single-bore tubular geometries. This task remains challenging, especially when considering local porosity variations caused…

Fluid Dynamics · Physics 2022-04-12 Denis Wypysek , Deniz Rall , Tobias Neef , Alex Jarauta , Marc Secanell , Matthias Wessling

The paper presents a new type of weakly nonlinear two-scale model of controllable periodic porous piezoelectric structures saturated by Newtonian fluids. The flow is propelled by peristaltic deformation of microchannels which is induced due…

Analysis of PDEs · Mathematics 2024-07-18 Eduard Rohan , Vladimír Lukeš

A classical model for water-gas flows in porous media is considered. The degenerate coupled system of equations obtained by mass conservation is usually approximated by finite volume schemes in the oil reservoir simulations. The convergence…

Numerical Analysis · Mathematics 2015-03-18 Mostafa Bendahmane , Ziad Khalil , Mazen Saad

In the study of packed granular materials, the performance of a sample (e.g., the detonation of a high-energy explosive) often correlates to measurements of a fluid flowing through it. The "effective surface area," the surface area…

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