Burst Dynamics, Upscaling and Dissipation of Slow Drainage in Porous Media

We present a theoretical and experimental investigation of drainage in porous media. The study is limited to stabilized fluid fronts at moderate injection rates, but it takes into account capillary, viscous, and gravitational forces. In the theoretical framework presented, the work applied on the sy...

Full description

Bibliographic Details
Main Authors: Knut Jørgen Måløy, Marcel Moura, Alex Hansen, Eirik Grude Flekkøy, Renaud Toussaint
Format: Article
Language:English
Published: Frontiers Media S.A. 2021-12-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2021.796019/full
_version_ 1818723780447436800
author Knut Jørgen Måløy
Knut Jørgen Måløy
Marcel Moura
Alex Hansen
Eirik Grude Flekkøy
Eirik Grude Flekkøy
Renaud Toussaint
Renaud Toussaint
author_facet Knut Jørgen Måløy
Knut Jørgen Måløy
Marcel Moura
Alex Hansen
Eirik Grude Flekkøy
Eirik Grude Flekkøy
Renaud Toussaint
Renaud Toussaint
author_sort Knut Jørgen Måløy
collection DOAJ
description We present a theoretical and experimental investigation of drainage in porous media. The study is limited to stabilized fluid fronts at moderate injection rates, but it takes into account capillary, viscous, and gravitational forces. In the theoretical framework presented, the work applied on the system, the energy dissipation, the final saturation and the width of the stabilized fluid front can all be calculated if we know the dimensionless fluctuation number, the wetting properties, the surface tension between the fluids, the fractal dimensions of the invading structure and its boundary, and the exponent describing the divergence of the correlation length in percolation. Furthermore, our theoretical description explains how the Haines jumps’ local activity and dissipation relate to dissipation on larger scales.
first_indexed 2024-12-17T21:15:58Z
format Article
id doaj.art-3744cec2f2974255a74bd2c4412742d2
institution Directory Open Access Journal
issn 2296-424X
language English
last_indexed 2024-12-17T21:15:58Z
publishDate 2021-12-01
publisher Frontiers Media S.A.
record_format Article
series Frontiers in Physics
spelling doaj.art-3744cec2f2974255a74bd2c4412742d22022-12-21T21:32:20ZengFrontiers Media S.A.Frontiers in Physics2296-424X2021-12-01910.3389/fphy.2021.796019796019Burst Dynamics, Upscaling and Dissipation of Slow Drainage in Porous MediaKnut Jørgen Måløy0Knut Jørgen Måløy1Marcel Moura2Alex Hansen3Eirik Grude Flekkøy4Eirik Grude Flekkøy5Renaud Toussaint6Renaud Toussaint7PoreLab, Department of Physics, The Njord Centre, University of Oslo, Oslo, NorwayPoreLab, Department of Geoscience and Petroleum, Norwegian University of Science and Technology, Trondheim, NorwayPoreLab, Department of Physics, The Njord Centre, University of Oslo, Oslo, NorwayPoreLab, Department of Physics, Norwegian University of Science and Technology, Trondheim, NorwayPoreLab, Department of Physics, The Njord Centre, University of Oslo, Oslo, NorwayPoreLab, Department of Chemistry, Norwegian University of Science and Technology, Trondheim, NorwayCNRS, Institut Terre et Environnement de Strasbourg, UMR 7063, University of Strasbourg, Strasbourg, FrancePoreLab, Department of Physics, The Njord Centre, University of Oslo, Oslo, NorwayWe present a theoretical and experimental investigation of drainage in porous media. The study is limited to stabilized fluid fronts at moderate injection rates, but it takes into account capillary, viscous, and gravitational forces. In the theoretical framework presented, the work applied on the system, the energy dissipation, the final saturation and the width of the stabilized fluid front can all be calculated if we know the dimensionless fluctuation number, the wetting properties, the surface tension between the fluids, the fractal dimensions of the invading structure and its boundary, and the exponent describing the divergence of the correlation length in percolation. Furthermore, our theoretical description explains how the Haines jumps’ local activity and dissipation relate to dissipation on larger scales.https://www.frontiersin.org/articles/10.3389/fphy.2021.796019/fullporous mediaburst dynamicsintermittencydrainagemultiphase flowcritical phenomena
spellingShingle Knut Jørgen Måløy
Knut Jørgen Måløy
Marcel Moura
Alex Hansen
Eirik Grude Flekkøy
Eirik Grude Flekkøy
Renaud Toussaint
Renaud Toussaint
Burst Dynamics, Upscaling and Dissipation of Slow Drainage in Porous Media
Frontiers in Physics
porous media
burst dynamics
intermittency
drainage
multiphase flow
critical phenomena
title Burst Dynamics, Upscaling and Dissipation of Slow Drainage in Porous Media
title_full Burst Dynamics, Upscaling and Dissipation of Slow Drainage in Porous Media
title_fullStr Burst Dynamics, Upscaling and Dissipation of Slow Drainage in Porous Media
title_full_unstemmed Burst Dynamics, Upscaling and Dissipation of Slow Drainage in Porous Media
title_short Burst Dynamics, Upscaling and Dissipation of Slow Drainage in Porous Media
title_sort burst dynamics upscaling and dissipation of slow drainage in porous media
topic porous media
burst dynamics
intermittency
drainage
multiphase flow
critical phenomena
url https://www.frontiersin.org/articles/10.3389/fphy.2021.796019/full
work_keys_str_mv AT knutjørgenmaløy burstdynamicsupscalinganddissipationofslowdrainageinporousmedia
AT knutjørgenmaløy burstdynamicsupscalinganddissipationofslowdrainageinporousmedia
AT marcelmoura burstdynamicsupscalinganddissipationofslowdrainageinporousmedia
AT alexhansen burstdynamicsupscalinganddissipationofslowdrainageinporousmedia
AT eirikgrudeflekkøy burstdynamicsupscalinganddissipationofslowdrainageinporousmedia
AT eirikgrudeflekkøy burstdynamicsupscalinganddissipationofslowdrainageinporousmedia
AT renaudtoussaint burstdynamicsupscalinganddissipationofslowdrainageinporousmedia
AT renaudtoussaint burstdynamicsupscalinganddissipationofslowdrainageinporousmedia