Diffusive counter dispersion of mass in bubbly media
We consider a liquid bearing gas bubbles in a porous medium. When gas bubbles are immovably trapped in a porous matrix by surface-tension forces, the dominant mechanism of transfer of gas mass becomes the diffusion of gas molecules through the liquid. Essentially, the gas solution is in local thermo...
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ftdatacite:10.48550/arxiv.1011.5140 2023-05-15T17:12:03+02:00 Diffusive counter dispersion of mass in bubbly media Goldobin, Denis S. Brilliantov, Nikolai V. 2010 https://dx.doi.org/10.48550/arxiv.1011.5140 https://arxiv.org/abs/1011.5140 unknown arXiv https://dx.doi.org/10.1103/physreve.84.056328 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Statistical Mechanics cond-mat.stat-mech Chemical Physics physics.chem-ph FOS Physical sciences article-journal Article ScholarlyArticle Text 2010 ftdatacite https://doi.org/10.48550/arxiv.1011.5140 https://doi.org/10.1103/physreve.84.056328 2022-04-01T14:29:24Z We consider a liquid bearing gas bubbles in a porous medium. When gas bubbles are immovably trapped in a porous matrix by surface-tension forces, the dominant mechanism of transfer of gas mass becomes the diffusion of gas molecules through the liquid. Essentially, the gas solution is in local thermodynamic equilibrium with vapor phase all over the system, i.e., the solute concentration equals the solubility. When temperature and/or pressure gradients are applied, diffusion fluxes appear and these fluxes are faithfully determined by the temperature and pressure fields, not by the local solute concentration, which is enslaved by the former. We derive the equations governing such systems, accounting for thermodiffusion and gravitational segregation effects which are shown not to be neglected for geological systems---marine sediments, terrestrial aquifers, etc. The results are applied for the treatment of non-high-pressure systems and real geological systems bearing methane or carbon dioxide, where we find a potential possibility of the formation of gaseous horizons deep below a porous medium surface. The reported effects are of particular importance for natural methane hydrate deposits and the problem of burial of industrial production of carbon dioxide in deep aquifers. : 10 pages, 5 figures, 1 table, Physical Review E Text Methane hydrate DataCite Metadata Store (German National Library of Science and Technology) |
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topic |
Statistical Mechanics cond-mat.stat-mech Chemical Physics physics.chem-ph FOS Physical sciences |
spellingShingle |
Statistical Mechanics cond-mat.stat-mech Chemical Physics physics.chem-ph FOS Physical sciences Goldobin, Denis S. Brilliantov, Nikolai V. Diffusive counter dispersion of mass in bubbly media |
topic_facet |
Statistical Mechanics cond-mat.stat-mech Chemical Physics physics.chem-ph FOS Physical sciences |
description |
We consider a liquid bearing gas bubbles in a porous medium. When gas bubbles are immovably trapped in a porous matrix by surface-tension forces, the dominant mechanism of transfer of gas mass becomes the diffusion of gas molecules through the liquid. Essentially, the gas solution is in local thermodynamic equilibrium with vapor phase all over the system, i.e., the solute concentration equals the solubility. When temperature and/or pressure gradients are applied, diffusion fluxes appear and these fluxes are faithfully determined by the temperature and pressure fields, not by the local solute concentration, which is enslaved by the former. We derive the equations governing such systems, accounting for thermodiffusion and gravitational segregation effects which are shown not to be neglected for geological systems---marine sediments, terrestrial aquifers, etc. The results are applied for the treatment of non-high-pressure systems and real geological systems bearing methane or carbon dioxide, where we find a potential possibility of the formation of gaseous horizons deep below a porous medium surface. The reported effects are of particular importance for natural methane hydrate deposits and the problem of burial of industrial production of carbon dioxide in deep aquifers. : 10 pages, 5 figures, 1 table, Physical Review E |
format |
Text |
author |
Goldobin, Denis S. Brilliantov, Nikolai V. |
author_facet |
Goldobin, Denis S. Brilliantov, Nikolai V. |
author_sort |
Goldobin, Denis S. |
title |
Diffusive counter dispersion of mass in bubbly media |
title_short |
Diffusive counter dispersion of mass in bubbly media |
title_full |
Diffusive counter dispersion of mass in bubbly media |
title_fullStr |
Diffusive counter dispersion of mass in bubbly media |
title_full_unstemmed |
Diffusive counter dispersion of mass in bubbly media |
title_sort |
diffusive counter dispersion of mass in bubbly media |
publisher |
arXiv |
publishDate |
2010 |
url |
https://dx.doi.org/10.48550/arxiv.1011.5140 https://arxiv.org/abs/1011.5140 |
genre |
Methane hydrate |
genre_facet |
Methane hydrate |
op_relation |
https://dx.doi.org/10.1103/physreve.84.056328 |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1011.5140 https://doi.org/10.1103/physreve.84.056328 |
_version_ |
1766068814661812224 |