A model of carbon dioxide dissolution and mineral carbonation kinetics
The kinetics of the dissolution of carbon dioxide in water and subsequent chemical reactions through to the formation of calcium carbonate, a system of reactions integral to carbon sequestration and anthropogenic ocean acidification, is mathematically modelled using the mass action law. This group o...
Published in: | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
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Language: | English |
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Online Access: | http://dx.doi.org/10.1098/rspa.2009.0349 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2009.0349 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2009.0349 |
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crroyalsociety:10.1098/rspa.2009.0349 2024-10-06T13:51:50+00:00 A model of carbon dioxide dissolution and mineral carbonation kinetics Mitchell, Mark J. Jensen, Oliver E. Cliffe, K. Andrew Maroto-Valer, M. Mercedes 2009 http://dx.doi.org/10.1098/rspa.2009.0349 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2009.0349 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2009.0349 en eng The Royal Society https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 466, issue 2117, page 1265-1290 ISSN 1364-5021 1471-2946 journal-article 2009 crroyalsociety https://doi.org/10.1098/rspa.2009.0349 2024-09-09T06:01:31Z The kinetics of the dissolution of carbon dioxide in water and subsequent chemical reactions through to the formation of calcium carbonate, a system of reactions integral to carbon sequestration and anthropogenic ocean acidification, is mathematically modelled using the mass action law. This group of reactions is expressed as a system of five coupled nonlinear ordinary differential equations, with 14 independent parameters. The evolution of this system to equilibrium at 25 ° C and 1 atm, following an instantaneous injection of gaseous carbon dioxide, is simulated. An asymptotic analysis captures the leading-order behaviour of the system over six disparate time scales, yielding expressions for all species in each time scale. These approximations show excellent agreement with simulations of the full system, and give remarkably simple formulae for the equilibrium concentrations. Article in Journal/Newspaper Ocean acidification The Royal Society Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 466 2117 1265 1290 |
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Open Polar |
collection |
The Royal Society |
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crroyalsociety |
language |
English |
description |
The kinetics of the dissolution of carbon dioxide in water and subsequent chemical reactions through to the formation of calcium carbonate, a system of reactions integral to carbon sequestration and anthropogenic ocean acidification, is mathematically modelled using the mass action law. This group of reactions is expressed as a system of five coupled nonlinear ordinary differential equations, with 14 independent parameters. The evolution of this system to equilibrium at 25 ° C and 1 atm, following an instantaneous injection of gaseous carbon dioxide, is simulated. An asymptotic analysis captures the leading-order behaviour of the system over six disparate time scales, yielding expressions for all species in each time scale. These approximations show excellent agreement with simulations of the full system, and give remarkably simple formulae for the equilibrium concentrations. |
format |
Article in Journal/Newspaper |
author |
Mitchell, Mark J. Jensen, Oliver E. Cliffe, K. Andrew Maroto-Valer, M. Mercedes |
spellingShingle |
Mitchell, Mark J. Jensen, Oliver E. Cliffe, K. Andrew Maroto-Valer, M. Mercedes A model of carbon dioxide dissolution and mineral carbonation kinetics |
author_facet |
Mitchell, Mark J. Jensen, Oliver E. Cliffe, K. Andrew Maroto-Valer, M. Mercedes |
author_sort |
Mitchell, Mark J. |
title |
A model of carbon dioxide dissolution and mineral carbonation kinetics |
title_short |
A model of carbon dioxide dissolution and mineral carbonation kinetics |
title_full |
A model of carbon dioxide dissolution and mineral carbonation kinetics |
title_fullStr |
A model of carbon dioxide dissolution and mineral carbonation kinetics |
title_full_unstemmed |
A model of carbon dioxide dissolution and mineral carbonation kinetics |
title_sort |
model of carbon dioxide dissolution and mineral carbonation kinetics |
publisher |
The Royal Society |
publishDate |
2009 |
url |
http://dx.doi.org/10.1098/rspa.2009.0349 https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2009.0349 https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2009.0349 |
genre |
Ocean acidification |
genre_facet |
Ocean acidification |
op_source |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences volume 466, issue 2117, page 1265-1290 ISSN 1364-5021 1471-2946 |
op_rights |
https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ |
op_doi |
https://doi.org/10.1098/rspa.2009.0349 |
container_title |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
container_volume |
466 |
container_issue |
2117 |
container_start_page |
1265 |
op_container_end_page |
1290 |
_version_ |
1812180140366495744 |