A shallow approximation for ice streams sliding over strong beds
Ice streams are regions of rapid ice sheet flow characterised by a high degree of sliding over a deforming bed. The shallow shelf approximation (SSA) provides a convenient way to obtain closed-form approximations of the velocity and flux in a rapidly sliding ice stream when the basal drag is much le...
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2023-12-01
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| Series: | Journal of Glaciology |
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| Online Access: | https://www.cambridge.org/core/product/identifier/S0022143023000473/type/journal_article |
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| author | Katarzyna L. P. Warburton Duncan R. Hewitt Colin R. Meyer Jerome A. Neufeld |
| author_facet | Katarzyna L. P. Warburton Duncan R. Hewitt Colin R. Meyer Jerome A. Neufeld |
| author_sort | Katarzyna L. P. Warburton |
| collection | DOAJ |
| description | Ice streams are regions of rapid ice sheet flow characterised by a high degree of sliding over a deforming bed. The shallow shelf approximation (SSA) provides a convenient way to obtain closed-form approximations of the velocity and flux in a rapidly sliding ice stream when the basal drag is much less than the driving stress. However, the validity of the SSA approximation breaks down when the magnitude of the basal drag increases. Here we find a more accurate expression for the velocity and flux in this transitional regime before vertical deformation fully dominates, in agreement with numerical results. The closed-form expressions we derive can be incorporated into wider modelling efforts to yield a better characterisation of ice stream dynamics, and inform the use of the SSA in large-scale simulations. |
| format | Article |
| id | doaj-art-7e6b45e837644611a3fac8d9fac913f2 |
| institution | OA Journals |
| issn | 0022-1430 1727-5652 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Journal of Glaciology |
| spelling | doaj-art-7e6b45e837644611a3fac8d9fac913f22025-08-20T02:33:44ZengCambridge University PressJournal of Glaciology0022-14301727-56522023-12-01691634164510.1017/jog.2023.47A shallow approximation for ice streams sliding over strong bedsKatarzyna L. P. Warburton0https://orcid.org/0000-0002-5537-0557Duncan R. Hewitt1Colin R. Meyer2Jerome A. Neufeld3Thayer School of Engineering, Dartmouth College, Hanover, NH, USA Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UKDepartment of Mathematics, University College London, London, UKThayer School of Engineering, Dartmouth College, Hanover, NH, USADepartment of Earth Sciences, University of Cambridge, Cambridge, UK Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, UK Institute for Energy and Environmental Flows, University of Cambridge, Cambridge, UKIce streams are regions of rapid ice sheet flow characterised by a high degree of sliding over a deforming bed. The shallow shelf approximation (SSA) provides a convenient way to obtain closed-form approximations of the velocity and flux in a rapidly sliding ice stream when the basal drag is much less than the driving stress. However, the validity of the SSA approximation breaks down when the magnitude of the basal drag increases. Here we find a more accurate expression for the velocity and flux in this transitional regime before vertical deformation fully dominates, in agreement with numerical results. The closed-form expressions we derive can be incorporated into wider modelling efforts to yield a better characterisation of ice stream dynamics, and inform the use of the SSA in large-scale simulations.https://www.cambridge.org/core/product/identifier/S0022143023000473/type/journal_articleglacier flowglacial rheologyice dynamicsice streams |
| spellingShingle | Katarzyna L. P. Warburton Duncan R. Hewitt Colin R. Meyer Jerome A. Neufeld A shallow approximation for ice streams sliding over strong beds Journal of Glaciology glacier flow glacial rheology ice dynamics ice streams |
| title | A shallow approximation for ice streams sliding over strong beds |
| title_full | A shallow approximation for ice streams sliding over strong beds |
| title_fullStr | A shallow approximation for ice streams sliding over strong beds |
| title_full_unstemmed | A shallow approximation for ice streams sliding over strong beds |
| title_short | A shallow approximation for ice streams sliding over strong beds |
| title_sort | shallow approximation for ice streams sliding over strong beds |
| topic | glacier flow glacial rheology ice dynamics ice streams |
| url | https://www.cambridge.org/core/product/identifier/S0022143023000473/type/journal_article |
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