Theory of Deformations within Ice Sheets due to Bottom Undulations
Abstract Bedrock undulations of glaciers and ice sheets cause undulations of the ice surface and of internal layers. Models are constructed, that describe this phenomenon, using perturbation techniques and utilizing the stress function as harmonic solution to the full biharmonic equation. This appro...
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Language: | English |
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Cambridge University Press (CUP)
1979
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Online Access: | http://dx.doi.org/10.1017/s0022143000015197 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000015197 |
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crcambridgeupr:10.1017/s0022143000015197 2024-03-03T08:45:56+00:00 Theory of Deformations within Ice Sheets due to Bottom Undulations Johnsen, Sigfus J. Rasmussen, Kjeld Reeh, Niels 1979 http://dx.doi.org/10.1017/s0022143000015197 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000015197 en eng Cambridge University Press (CUP) Journal of Glaciology volume 24, issue 90, page 512 ISSN 0022-1430 1727-5652 Earth-Surface Processes journal-article 1979 crcambridgeupr https://doi.org/10.1017/s0022143000015197 2024-02-08T08:39:08Z Abstract Bedrock undulations of glaciers and ice sheets cause undulations of the ice surface and of internal layers. Models are constructed, that describe this phenomenon, using perturbation techniques and utilizing the stress function as harmonic solution to the full biharmonic equation. This approach is an extension of a previous treatment of the problem, which was based on the solution of the Laplace equation. This solution is shown to be inadequate. Two types of ice flow, with and without bottom sliding, are considered. Furthermore, in order to cope with the variation of viscosity with depth, semi-analytical multi-layer models have been constructed. Article in Journal/Newspaper Journal of Glaciology Cambridge University Press Laplace ENVELOPE(141.467,141.467,-66.782,-66.782) Journal of Glaciology 24 90 512 |
institution |
Open Polar |
collection |
Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
topic |
Earth-Surface Processes |
spellingShingle |
Earth-Surface Processes Johnsen, Sigfus J. Rasmussen, Kjeld Reeh, Niels Theory of Deformations within Ice Sheets due to Bottom Undulations |
topic_facet |
Earth-Surface Processes |
description |
Abstract Bedrock undulations of glaciers and ice sheets cause undulations of the ice surface and of internal layers. Models are constructed, that describe this phenomenon, using perturbation techniques and utilizing the stress function as harmonic solution to the full biharmonic equation. This approach is an extension of a previous treatment of the problem, which was based on the solution of the Laplace equation. This solution is shown to be inadequate. Two types of ice flow, with and without bottom sliding, are considered. Furthermore, in order to cope with the variation of viscosity with depth, semi-analytical multi-layer models have been constructed. |
format |
Article in Journal/Newspaper |
author |
Johnsen, Sigfus J. Rasmussen, Kjeld Reeh, Niels |
author_facet |
Johnsen, Sigfus J. Rasmussen, Kjeld Reeh, Niels |
author_sort |
Johnsen, Sigfus J. |
title |
Theory of Deformations within Ice Sheets due to Bottom Undulations |
title_short |
Theory of Deformations within Ice Sheets due to Bottom Undulations |
title_full |
Theory of Deformations within Ice Sheets due to Bottom Undulations |
title_fullStr |
Theory of Deformations within Ice Sheets due to Bottom Undulations |
title_full_unstemmed |
Theory of Deformations within Ice Sheets due to Bottom Undulations |
title_sort |
theory of deformations within ice sheets due to bottom undulations |
publisher |
Cambridge University Press (CUP) |
publishDate |
1979 |
url |
http://dx.doi.org/10.1017/s0022143000015197 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000015197 |
long_lat |
ENVELOPE(141.467,141.467,-66.782,-66.782) |
geographic |
Laplace |
geographic_facet |
Laplace |
genre |
Journal of Glaciology |
genre_facet |
Journal of Glaciology |
op_source |
Journal of Glaciology volume 24, issue 90, page 512 ISSN 0022-1430 1727-5652 |
op_doi |
https://doi.org/10.1017/s0022143000015197 |
container_title |
Journal of Glaciology |
container_volume |
24 |
container_issue |
90 |
container_start_page |
512 |
_version_ |
1792501640373207040 |