Influence of a non-uniform velocity field on isochrone geometry along a steady flowline of an ice sheet
International audience The relationship between velocity field and isochrone geometry along a steady flowline of an ice sheet is examined. The method is analytical and based upon the stream function and its vertically normalized form, the normalized stream function (NSF). We show that the slope of t...
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ftinsu:oai:HAL:insu-00377229v1 2024-04-28T08:24:45+00:00 Influence of a non-uniform velocity field on isochrone geometry along a steady flowline of an ice sheet Parrenin, Frédéric Hindmarsh, Richard Laboratoire de glaciologie et géophysique de l'environnement (LGGE) Observatoire des Sciences de l'Univers de Grenoble (OSUG) Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national des sciences de l'Univers (INSU - CNRS)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national des sciences de l'Univers (INSU - CNRS)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS) British Antarctic Survey (BAS) Natural Environment Research Council (NERC) ANR-05-BLAN-0165,MIDIGA,Modelling and Identification for Drillings Interpretation in Greenland and Antarctica(Modélisation et Identification pour l'Interprététation des Forages Antarctique et Groenland)(2005) 2007 https://insu.hal.science/insu-00377229 https://insu.hal.science/insu-00377229/document https://insu.hal.science/insu-00377229/file/influence-of-a-non-uniform-velocity-field-on-isochrone-geometry-along-a-steady-flowline-of-an-ice-sheet.pdf https://doi.org/10.3189/002214307784409298 en eng HAL CCSD International Glaciological Society info:eu-repo/semantics/altIdentifier/doi/10.3189/002214307784409298 insu-00377229 https://insu.hal.science/insu-00377229 https://insu.hal.science/insu-00377229/document https://insu.hal.science/insu-00377229/file/influence-of-a-non-uniform-velocity-field-on-isochrone-geometry-along-a-steady-flowline-of-an-ice-sheet.pdf doi:10.3189/002214307784409298 http://creativecommons.org/licenses/by/ info:eu-repo/semantics/OpenAccess ISSN: 0022-1430 EISSN: 1727-5652 Journal of Glaciology https://insu.hal.science/insu-00377229 Journal of Glaciology, 2007, 53 (183), pp.612 à 622. ⟨10.3189/002214307784409298⟩ [SDU.STU.GL]Sciences of the Universe [physics]/Earth Sciences/Glaciology info:eu-repo/semantics/article Journal articles 2007 ftinsu https://doi.org/10.3189/002214307784409298 2024-04-05T00:35:45Z International audience The relationship between velocity field and isochrone geometry along a steady flowline of an ice sheet is examined. The method is analytical and based upon the stream function and its vertically normalized form, the normalized stream function (NSF). We show that the slope of the isochrones is the slope of the iso-NSF lines, plus a path term which is the cumulative result of the past trajectory of the ice particles. We illustrate this path term in three different examples: varying basal melting, varying basal sliding (Weertman effect) and varying velocity profile around a divide (Raymond effect). The path term generally counteracts the slope of the iso-NSF lines. In the case of the Raymond effect, it can even lead to depressions surrounding the bumps if the transition from dome to flank velocity profile is sufficiently abrupt. Article in Journal/Newspaper Ice Sheet Journal of Glaciology Institut national des sciences de l'Univers: HAL-INSU Journal of Glaciology 53 183 612 622 |
institution |
Open Polar |
collection |
Institut national des sciences de l'Univers: HAL-INSU |
op_collection_id |
ftinsu |
language |
English |
topic |
[SDU.STU.GL]Sciences of the Universe [physics]/Earth Sciences/Glaciology |
spellingShingle |
[SDU.STU.GL]Sciences of the Universe [physics]/Earth Sciences/Glaciology Parrenin, Frédéric Hindmarsh, Richard Influence of a non-uniform velocity field on isochrone geometry along a steady flowline of an ice sheet |
topic_facet |
[SDU.STU.GL]Sciences of the Universe [physics]/Earth Sciences/Glaciology |
description |
International audience The relationship between velocity field and isochrone geometry along a steady flowline of an ice sheet is examined. The method is analytical and based upon the stream function and its vertically normalized form, the normalized stream function (NSF). We show that the slope of the isochrones is the slope of the iso-NSF lines, plus a path term which is the cumulative result of the past trajectory of the ice particles. We illustrate this path term in three different examples: varying basal melting, varying basal sliding (Weertman effect) and varying velocity profile around a divide (Raymond effect). The path term generally counteracts the slope of the iso-NSF lines. In the case of the Raymond effect, it can even lead to depressions surrounding the bumps if the transition from dome to flank velocity profile is sufficiently abrupt. |
author2 |
Laboratoire de glaciologie et géophysique de l'environnement (LGGE) Observatoire des Sciences de l'Univers de Grenoble (OSUG) Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national des sciences de l'Univers (INSU - CNRS)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Institut national des sciences de l'Univers (INSU - CNRS)-Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA)-Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)-Centre National de la Recherche Scientifique (CNRS) British Antarctic Survey (BAS) Natural Environment Research Council (NERC) ANR-05-BLAN-0165,MIDIGA,Modelling and Identification for Drillings Interpretation in Greenland and Antarctica(Modélisation et Identification pour l'Interprététation des Forages Antarctique et Groenland)(2005) |
format |
Article in Journal/Newspaper |
author |
Parrenin, Frédéric Hindmarsh, Richard |
author_facet |
Parrenin, Frédéric Hindmarsh, Richard |
author_sort |
Parrenin, Frédéric |
title |
Influence of a non-uniform velocity field on isochrone geometry along a steady flowline of an ice sheet |
title_short |
Influence of a non-uniform velocity field on isochrone geometry along a steady flowline of an ice sheet |
title_full |
Influence of a non-uniform velocity field on isochrone geometry along a steady flowline of an ice sheet |
title_fullStr |
Influence of a non-uniform velocity field on isochrone geometry along a steady flowline of an ice sheet |
title_full_unstemmed |
Influence of a non-uniform velocity field on isochrone geometry along a steady flowline of an ice sheet |
title_sort |
influence of a non-uniform velocity field on isochrone geometry along a steady flowline of an ice sheet |
publisher |
HAL CCSD |
publishDate |
2007 |
url |
https://insu.hal.science/insu-00377229 https://insu.hal.science/insu-00377229/document https://insu.hal.science/insu-00377229/file/influence-of-a-non-uniform-velocity-field-on-isochrone-geometry-along-a-steady-flowline-of-an-ice-sheet.pdf https://doi.org/10.3189/002214307784409298 |
genre |
Ice Sheet Journal of Glaciology |
genre_facet |
Ice Sheet Journal of Glaciology |
op_source |
ISSN: 0022-1430 EISSN: 1727-5652 Journal of Glaciology https://insu.hal.science/insu-00377229 Journal of Glaciology, 2007, 53 (183), pp.612 à 622. ⟨10.3189/002214307784409298⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.3189/002214307784409298 insu-00377229 https://insu.hal.science/insu-00377229 https://insu.hal.science/insu-00377229/document https://insu.hal.science/insu-00377229/file/influence-of-a-non-uniform-velocity-field-on-isochrone-geometry-along-a-steady-flowline-of-an-ice-sheet.pdf doi:10.3189/002214307784409298 |
op_rights |
http://creativecommons.org/licenses/by/ info:eu-repo/semantics/OpenAccess |
op_doi |
https://doi.org/10.3189/002214307784409298 |
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Journal of Glaciology |
container_volume |
53 |
container_issue |
183 |
container_start_page |
612 |
op_container_end_page |
622 |
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