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Related papers: Bridging scales in porous media: cDFT-informed por…

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Capillary imbibition underpins many processes of fundamental and applied relevance in fluid mechanics. A limitation to the flow is the coupling to the confining solid, which induces friction forces. Our work proposes a general theoretical…

The migration of liquids in porous media, such as sand, has been commonly considered at high saturation levels with liquid pathways at pore dimensions. In this letter we reveal a low saturation regime observed in our experiments with…

Fluid Dynamics · Physics 2013-10-31 A. V. Lukyanov , M. M. Sushchikh , M. J. Baines , T. G. Theofanous

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

Spatial confinement in nanoporous media affects the structure, thermodynamics and mobility of molecular soft matter often markedly. This article reviews thermodynamic equilibrium phenomena, such as physisorption, capillary condensation,…

Soft Condensed Matter · Physics 2015-02-17 Patrick Huber

Hypothesis: Sample-spanning particle networks are used to induce structure and a yield stress, necessary for 3D printing of porous ceramics and paints. In capillary suspensions, a small quantity of immiscible secondary fluid is incorporated…

Soft Condensed Matter · Physics 2024-04-17 Lingyue Liu , Jens Allard , Erin Koos

Predicting the geometrical evolution of the pore space in geological formations due to fluid-solid interactions has applications in reservoir engineering, oil recovery, and geological storage of carbon dioxide. However, modeling frameworks…

The macroscopic phenomenon of filtration is the separation between suspended and liquid phases and it takes place in natural environments (e.g. groundwater, soil, hyporheic zone) and industrial systems (e.g. filtration plants,…

We experimentally investigate the dynamics of capillary-driven flows at the nanoscale, using an original platform that combines nanoscale pores and microfluidic features. Our results show a coherent picture across multiple experiments…

Soft Condensed Matter · Physics 2015-10-05 Olivier Vincent , Alexandre Szenicer , Abraham D. Stroock

We perform more than 6000 steady-state simulations with a dynamic pore network model, corresponding to a large span in viscosity ratios and capillary numbers. From these simulations, dimensionless quantities such as relative permeabilities,…

Fluid Dynamics · Physics 2019-11-19 Magnus Aa. Gjennestad , Mathias Winkler , Alex Hansen

The phase behavior of hydrocarbon fluids confined in porous media has been reported to deviate significantly from that in the bulk environment due to the existence of sub-10nm pores. Though experiments and simulations have measured the…

Soft Condensed Matter · Physics 2020-03-16 Jiaoyan Li , Qi Rao , Yidong Xia , Michael P. Hoepfner , Milind Deo

This work presents a data-driven framework for multi-scale parametrization of velocity-dependent dispersive transport in porous media. Pore-scale flow and transport simulations are conducted on periodic pore geometries, and volume-averaging…

Numerical Analysis · Mathematics 2024-10-21 Edward Coltman , Martin Schneider , Rainer Helmig

Nanoscale fluid transport is typically pictured in terms of atomic-scale dynamics, as is natural in the real-space framework of molecular simulations. An alternative Fourier-space picture, that involves the collective charge fluctuation…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Baptiste Coquinot , Maximilian Becker , Roland R. Netz , Lydéric Bocquet , Nikita Kavokine

We investigate how a filter media microstructure influences filtration performance. We derive a theory that generalizes classical multiscale models for regular structures to account for filter media with more realistic microstructures,…

Fluid Dynamics · Physics 2019-01-30 Galina Printsypar , Maria Bruna , Ian M. Griffiths

Convolutional neural networks (CNN) are utilized to encode the relation between initial configurations of obstacles and three fundamental quantities in porous media: porosity ($\varphi$), permeability $k$, and tortuosity ($T$). The…

Computational Physics · Physics 2022-03-16 Krzysztof M. Graczyk , Maciej Matyka

In this paper, we introduce a mathematical model to describe the nanoparticles transport carried by a two-phase flow in a porous medium including gravity, capillary forces and Brownian diffusion. Nonlinear iterative IMPES scheme is used to…

Numerical Analysis · Mathematics 2013-10-18 M. F. El-Amin , Jisheng Kou , Shuyu Sun , Amgad Salama

In a recent paper [1] we developed a theoretical model to describe current transients arising during electrochemical deposition experiments performed at the bottom of sub-micrometric cylindrical vessels with permeable walls. In the present…

Chemical Physics · Physics 2011-12-09 P. C. T. DÁjello , M. L. Sartorelli , L. Lauck

We consider a phase-field model for the incompressible flow of two immiscible fluids. This model extends widespread models for two fluid phases by including a third, solid phase, which can evolve due to e.g. precipitation and dissolution.…

Analysis of PDEs · Mathematics 2022-05-18 Lars von Wolff , Iuliu Sorin Pop

We propose a new phenomenological approach for describing the dynamics of wetting front propagation in porous media. Unlike traditional models, the proposed approach is based on dynamic nature of the relation between capillary pressure and…

patt-sol · Physics 2009-10-31 Igor Mitkov , Daniel M. Tartakovsky , C. Larrabee Winter

In this work, we consider a mathematical model for flow in a unsaturated porous medium containing a fracture. In all subdomains (the fracture and the adjacent matrix blocks) the flow is governed by Richards' equation. The submodels are…

Numerical Analysis · Mathematics 2024-11-01 Florian List , Kundan Kumar , Iuliu Sorin Pop , Florin A. Radu

Porous membranes are thin solid structures that allow the flow to pass through their tiny openings, called pores. Flow inertia may play a significant role in several filtration flows of natural and engineering interest. Here, we develop a…