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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…

软凝聚态物质 · 物理学 2013-08-07 Sujit S. Datta , Harry Chiang , T. S. Ramakrishnan , David A. Weitz

Local porosity distributions for a three-dimensional porous medium and local porosity distributions for a two-dimensional plane-section through the medium are generally different. However, for homogeneous and isotropic media having finite…

凝聚态物理 · 物理学 2015-06-25 B. Virgin , E. Haslund , R. Hilfer

We study the distributions of channel openings, local fluxes, and velocities in a two-dimensional random medium of non-overlapping disks. We present theoretical arguments supported by numerical data of high precision and find scaling laws…

流体动力学 · 物理学 2009-11-11 Ascânio D. Araújo , Wagner B. Bastos , José S. Andrade , Hans J. Herrmann

The flow of immiscible fluids inside a porous medium shows non-linearity in the form of a power law in the rheological properties of the fluids under steady state flow conditions. However, different experimental and numerical studies have…

流体动力学 · 物理学 2021-05-17 Subhadeep Roy , Santanu Sinha , Alex Hansen

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…

流体动力学 · 物理学 2024-09-06 Yuhe Wang , Yating Wang

We present a theoretical framework for immiscible incompressible two-phase flow in homogeneous porous media that connects the distribution of local fluid velocities to the average seepage velocities. By dividing the pore area along a…

流体动力学 · 物理学 2019-11-27 Subhadeep Roy , Santanu Sinha , Alex Hansen

We study how the dynamics of a drying front propagating through a porous medium are affected by small-scale correlations in material properties. For this, we first present drying experiments in micro-fluidic micro-models of porous media.…

软凝聚态物质 · 物理学 2018-12-26 Soumyajyoti Biswas , Paolo Fantinel , Oshri Borgman , Ran Holtzman , Lucas Goehring

Conceptualizing a porous media as a network of conductors sets a compromise between the oversimplifying conceptualization of the media as a bundle of capillary tubes and the computationally expensive and unobtainable detailed description of…

流体动力学 · 物理学 2024-03-22 Ilan Ben-Noah , Juan J. Hidalgo , Marco Dentz

A model of randomly distributed overlapping spheres of different radii is represented to describe a heterogeneous porous medium. Two-particle correlation function of the relative position of pores of different radii in the medium space was…

软凝聚态物质 · 物理学 2016-03-04 V. D. Borman , A. A. Belogorlov , V. A. Byrkin , V. N. Tronin , V. I. Troyan

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

We investigate the chemical dissolution of porous media using a network model in which the system is represented as a series of interconnected pipes with the diameter of each segment increasing in proportion to the local reactant…

流体动力学 · 物理学 2015-06-12 Agnieszka Budek , Piotr Szymczak

The interaction between the flow above and below a permeable wall is a central topic in the study of porous media. While previous investigations have provided compelling evidence of the strong coupling between the two regions, few studies…

流体动力学 · 物理学 2021-07-07 Wenkang Wang , Xu Chu , Adrián Lozano-Durán , Rainer Helmig , Bernhard Weigand

We consider immiscible and incompressible two-phase flow in porous media under steady-state conditions using a dynamic pore network model. We focus on the fluctuations in a Representative Elementary Area (REA), with the aim to demonstrate…

流体动力学 · 物理学 2023-04-05 Hursanay Fyhn , Santanu Sinha , Alex Hansen

Transport of viscous fluid through porous media is a direct consequence of the pore structure. Here we investigate transport through a specific class of two-dimensional porous geometries, namely those formed by fluid-mechanical erosion. We…

流体动力学 · 物理学 2020-05-20 Shang-Huan Chiu , M. N. J. Moore , Bryan D. Quaife

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…

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

A quantitative comparison of the pore space geometry for three natural sandstones is presented. The comparison is based on local porosity theory which provides a geometric characterization of stochastic microstructures. The characterization…

材料科学 · 物理学 2015-06-25 B. Biswal , C. Manwart , R. Hilfer

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 study the flow of a micropolar fluid in a thin domain with microstructure, i.e. a thin domain with thickness $\varepsilon$ which is perforated by periodically distributed solid cylinders of size $a_\varepsilon$. A main feature of this…

偏微分方程分析 · 数学 2025-12-17 Francisco J. Suárez-Grau

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

In this paper we develop a model to describe the diffusion process in a porous medium. For the observed decrease in current yield, we propose other causes than difference in diffusivity, which we consider unaltered by the porous medium. The…

化学物理 · 物理学 2012-05-10 P. C. T. DÁjello , G. L. Nunes , J. J. Piacentini , L. Lauck
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