A theoretical determination of the characteristic equation of snow in the pendular regime
Recent mathematical models treat a natural snow-pack as a mixture body consisting of solid ice grains, liquid water, and a gas made up of air and water vapour. Such a model requires two independent constitutive equations for the two independent volume fractions. However, so far only one equation, a...
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1990
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ftnerc:oai:nora.nerc.ac.uk:520514 2023-05-15T16:57:30+02:00 A theoretical determination of the characteristic equation of snow in the pendular regime Morris, E.M. Kelly, R.J. 1990 http://nora.nerc.ac.uk/id/eprint/520514/ https://doi.org/10.3189/S0022143000009424 unknown International Glaciological Society Morris, E.M.; Kelly, R.J. 1990 A theoretical determination of the characteristic equation of snow in the pendular regime. Journal of Glaciology, 36 (123). 179-187. https://doi.org/10.3189/S0022143000009424 <https://doi.org/10.3189/S0022143000009424> Mathematics Publication - Article PeerReviewed 1990 ftnerc https://doi.org/10.3189/S0022143000009424 2023-02-04T19:46:47Z Recent mathematical models treat a natural snow-pack as a mixture body consisting of solid ice grains, liquid water, and a gas made up of air and water vapour. Such a model requires two independent constitutive equations for the two independent volume fractions. However, so far only one equation, a power law relating the liquid-water content to capillary pressure, has been suggested, by analogy with the so-called “characteristic” equation for liquid water in soils. Experimental data from drainage tests on snow columns may be used to determine the characteristic equation for snow for relatively high water contents. However, the experimental method is not valid when water exists in isolated inclusions in the snow, i.e. in the pendular regime. In this paper a theoretical method is used to derive two independent volume-fraction laws for snow in the pendular regime. Article in Journal/Newspaper Journal of Glaciology Natural Environment Research Council: NERC Open Research Archive Journal of Glaciology 36 123 179 187 |
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Natural Environment Research Council: NERC Open Research Archive |
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unknown |
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Mathematics |
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Mathematics Morris, E.M. Kelly, R.J. A theoretical determination of the characteristic equation of snow in the pendular regime |
topic_facet |
Mathematics |
description |
Recent mathematical models treat a natural snow-pack as a mixture body consisting of solid ice grains, liquid water, and a gas made up of air and water vapour. Such a model requires two independent constitutive equations for the two independent volume fractions. However, so far only one equation, a power law relating the liquid-water content to capillary pressure, has been suggested, by analogy with the so-called “characteristic” equation for liquid water in soils. Experimental data from drainage tests on snow columns may be used to determine the characteristic equation for snow for relatively high water contents. However, the experimental method is not valid when water exists in isolated inclusions in the snow, i.e. in the pendular regime. In this paper a theoretical method is used to derive two independent volume-fraction laws for snow in the pendular regime. |
format |
Article in Journal/Newspaper |
author |
Morris, E.M. Kelly, R.J. |
author_facet |
Morris, E.M. Kelly, R.J. |
author_sort |
Morris, E.M. |
title |
A theoretical determination of the characteristic equation of snow in the pendular regime |
title_short |
A theoretical determination of the characteristic equation of snow in the pendular regime |
title_full |
A theoretical determination of the characteristic equation of snow in the pendular regime |
title_fullStr |
A theoretical determination of the characteristic equation of snow in the pendular regime |
title_full_unstemmed |
A theoretical determination of the characteristic equation of snow in the pendular regime |
title_sort |
theoretical determination of the characteristic equation of snow in the pendular regime |
publisher |
International Glaciological Society |
publishDate |
1990 |
url |
http://nora.nerc.ac.uk/id/eprint/520514/ https://doi.org/10.3189/S0022143000009424 |
genre |
Journal of Glaciology |
genre_facet |
Journal of Glaciology |
op_relation |
Morris, E.M.; Kelly, R.J. 1990 A theoretical determination of the characteristic equation of snow in the pendular regime. Journal of Glaciology, 36 (123). 179-187. https://doi.org/10.3189/S0022143000009424 <https://doi.org/10.3189/S0022143000009424> |
op_doi |
https://doi.org/10.3189/S0022143000009424 |
container_title |
Journal of Glaciology |
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36 |
container_issue |
123 |
container_start_page |
179 |
op_container_end_page |
187 |
_version_ |
1766049067378409472 |