Void bounds for fluid transport properties of sea ice
Arctic and Antarctic sea ice plays a critical role in the global ocean−climate system, as well as in polar biology. Sea ice is a porous composite of pure ice with brine and air inclusions whose microstructure varies significantly with temperature. The fluid transport properties of sea ice control a...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.552.3917 2023-05-15T13:34:35+02:00 Void bounds for fluid transport properties of sea ice K. M. Golden A A. L. Heaton A H. Eicken B V. I. Lytle C The Pennsylvania State University CiteSeerX Archives application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.552.3917 http://www2.gi.alaska.edu/snowice/sea-lake-ice/papers/06GHEL.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.552.3917 http://www2.gi.alaska.edu/snowice/sea-lake-ice/papers/06GHEL.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://www2.gi.alaska.edu/snowice/sea-lake-ice/papers/06GHEL.pdf Key words sea ice porous media permeability trapping bounds ∗ Corresponding author text ftciteseerx 2022-03-20T01:25:38Z Arctic and Antarctic sea ice plays a critical role in the global ocean−climate system, as well as in polar biology. Sea ice is a porous composite of pure ice with brine and air inclusions whose microstructure varies significantly with temperature. The fluid transport properties of sea ice control a broad range of geophysical and biological processes. Yet little is known, for example, about bulk flow of brine or diffusive transport of dissolved substances such as nutrients or pollutants through the porous microstructure, particularly from a theoretical standpoint. Here we give rigorous, mathematical formulations of the two key problems of fluid dynamics in sea ice: estimating the effective fluid permeability tensor k(φ) and its dependence on brine porosity φ, and estimating the trapping constant γ or mean survival time τ for a diffusion process in the pore microstructure which can react with the boundary. We bring together and review a variety of results which lay the foundation for studying fluid transport processes in sea ice from a mathematical perspective, and focus on rigorous bounds on k and γ. Void bounds evaluated by Torquato and Pham (2004) for classical coated cylinder geometries yield pipe bounds for the permeability k of sea ice in the vertical direction. By incorporating information about average brine inclusion sizes, the void bounds provide a useful benchmark that captures laboratory data taken on k(φ). Text Antarc* Antarctic Arctic Sea ice Unknown Antarctic Arctic |
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Key words sea ice porous media permeability trapping bounds ∗ Corresponding author |
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Key words sea ice porous media permeability trapping bounds ∗ Corresponding author K. M. Golden A A. L. Heaton A H. Eicken B V. I. Lytle C Void bounds for fluid transport properties of sea ice |
topic_facet |
Key words sea ice porous media permeability trapping bounds ∗ Corresponding author |
description |
Arctic and Antarctic sea ice plays a critical role in the global ocean−climate system, as well as in polar biology. Sea ice is a porous composite of pure ice with brine and air inclusions whose microstructure varies significantly with temperature. The fluid transport properties of sea ice control a broad range of geophysical and biological processes. Yet little is known, for example, about bulk flow of brine or diffusive transport of dissolved substances such as nutrients or pollutants through the porous microstructure, particularly from a theoretical standpoint. Here we give rigorous, mathematical formulations of the two key problems of fluid dynamics in sea ice: estimating the effective fluid permeability tensor k(φ) and its dependence on brine porosity φ, and estimating the trapping constant γ or mean survival time τ for a diffusion process in the pore microstructure which can react with the boundary. We bring together and review a variety of results which lay the foundation for studying fluid transport processes in sea ice from a mathematical perspective, and focus on rigorous bounds on k and γ. Void bounds evaluated by Torquato and Pham (2004) for classical coated cylinder geometries yield pipe bounds for the permeability k of sea ice in the vertical direction. By incorporating information about average brine inclusion sizes, the void bounds provide a useful benchmark that captures laboratory data taken on k(φ). |
author2 |
The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
K. M. Golden A A. L. Heaton A H. Eicken B V. I. Lytle C |
author_facet |
K. M. Golden A A. L. Heaton A H. Eicken B V. I. Lytle C |
author_sort |
K. M. Golden A |
title |
Void bounds for fluid transport properties of sea ice |
title_short |
Void bounds for fluid transport properties of sea ice |
title_full |
Void bounds for fluid transport properties of sea ice |
title_fullStr |
Void bounds for fluid transport properties of sea ice |
title_full_unstemmed |
Void bounds for fluid transport properties of sea ice |
title_sort |
void bounds for fluid transport properties of sea ice |
url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.552.3917 http://www2.gi.alaska.edu/snowice/sea-lake-ice/papers/06GHEL.pdf |
geographic |
Antarctic Arctic |
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Antarctic Arctic |
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Antarc* Antarctic Arctic Sea ice |
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Antarc* Antarctic Arctic Sea ice |
op_source |
http://www2.gi.alaska.edu/snowice/sea-lake-ice/papers/06GHEL.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.552.3917 http://www2.gi.alaska.edu/snowice/sea-lake-ice/papers/06GHEL.pdf |
op_rights |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
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1766054542361755648 |