Analytical solutions for the effect of topography, accumulation rate and lateral flow divergence on isochrone layer geometry
International audience The effect of spatial variations in ice thickness, accumulation rate and lateral flow divergence on radar-detected isochrone geometry in ice sheets is computed using an analytical method, under assumptions of a steady-state ice-sheet geometry, a steady-state accumulation patte...
Published in: | Journal of Glaciology |
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Main Authors: | , , |
Other Authors: | , , , , , , , , |
Format: | Article in Journal/Newspaper |
Language: | English |
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HAL CCSD
2006
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Online Access: | https://hal-insu.archives-ouvertes.fr/insu-00375735 https://hal-insu.archives-ouvertes.fr/insu-00375735/document https://hal-insu.archives-ouvertes.fr/insu-00375735/file/analytical-solutions-for-the-effect-of-topography-accumulation-rate-and-lateral-flow-divergence-on-isochrone-layer-geometry.pdf https://doi.org/10.3189/172756506781828728 |
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ftunivnantes:oai:HAL:insu-00375735v1 |
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openpolar |
institution |
Open Polar |
collection |
Université de Nantes: HAL-UNIV-NANTES |
op_collection_id |
ftunivnantes |
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, F. Hindmarsh, R. Remy, F. Analytical solutions for the effect of topography, accumulation rate and lateral flow divergence on isochrone layer geometry |
topic_facet |
[SDU.STU.GL]Sciences of the Universe [physics]/Earth Sciences/Glaciology |
description |
International audience The effect of spatial variations in ice thickness, accumulation rate and lateral flow divergence on radar-detected isochrone geometry in ice sheets is computed using an analytical method, under assumptions of a steady-state ice-sheet geometry, a steady-state accumulation pattern and a horizontally uniform velocity shape function. By using a new coordinate transform, we show that the slope of the isochrones (with a normalized vertical coordinate) depends on three terms: a principal term which determines the sign of the slope, and two scale factors which can modify only the amplitude of the slope. The principal term depends only on a local characteristic time (ice thickness divided by accumulation rate minus melting rate) between the initial and final positions of the ice particle. For plug flow, only the initial and final values have an influence. Further applications are a demonstration of how the vertical velocity profile can be deduced from sharp changes in isochrone slopes induced by abrupt steps in bedrock or mass balance along the ice flow. We also demonstrate ways the new coordinate system may be used to test the accuracy of numerical flow models. |
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) Laboratoire d'études en Géophysique et océanographie spatiales (LEGOS) Institut de Recherche pour le Développement (IRD)-Université Toulouse III - Paul Sabatier (UT3) Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire Midi-Pyrénées (OMP) Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales Toulouse (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Institut de Recherche pour le Développement (IRD)-Centre National d'Études Spatiales Toulouse (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Centre National de la Recherche Scientifique (CNRS) British Antarctic Survey (BAS) Natural Environment Research Council (NERC) |
format |
Article in Journal/Newspaper |
author |
Parrenin, F. Hindmarsh, R. Remy, F. |
author_facet |
Parrenin, F. Hindmarsh, R. Remy, F. |
author_sort |
Parrenin, F. |
title |
Analytical solutions for the effect of topography, accumulation rate and lateral flow divergence on isochrone layer geometry |
title_short |
Analytical solutions for the effect of topography, accumulation rate and lateral flow divergence on isochrone layer geometry |
title_full |
Analytical solutions for the effect of topography, accumulation rate and lateral flow divergence on isochrone layer geometry |
title_fullStr |
Analytical solutions for the effect of topography, accumulation rate and lateral flow divergence on isochrone layer geometry |
title_full_unstemmed |
Analytical solutions for the effect of topography, accumulation rate and lateral flow divergence on isochrone layer geometry |
title_sort |
analytical solutions for the effect of topography, accumulation rate and lateral flow divergence on isochrone layer geometry |
publisher |
HAL CCSD |
publishDate |
2006 |
url |
https://hal-insu.archives-ouvertes.fr/insu-00375735 https://hal-insu.archives-ouvertes.fr/insu-00375735/document https://hal-insu.archives-ouvertes.fr/insu-00375735/file/analytical-solutions-for-the-effect-of-topography-accumulation-rate-and-lateral-flow-divergence-on-isochrone-layer-geometry.pdf https://doi.org/10.3189/172756506781828728 |
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://hal-insu.archives-ouvertes.fr/insu-00375735 Journal of Glaciology, 2006, 52 (177), pp.191 à 201. ⟨10.3189/172756506781828728⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.3189/172756506781828728 insu-00375735 https://hal-insu.archives-ouvertes.fr/insu-00375735 https://hal-insu.archives-ouvertes.fr/insu-00375735/document https://hal-insu.archives-ouvertes.fr/insu-00375735/file/analytical-solutions-for-the-effect-of-topography-accumulation-rate-and-lateral-flow-divergence-on-isochrone-layer-geometry.pdf doi:10.3189/172756506781828728 |
op_rights |
http://creativecommons.org/licenses/by/ info:eu-repo/semantics/OpenAccess |
op_doi |
https://doi.org/10.3189/172756506781828728 |
container_title |
Journal of Glaciology |
container_volume |
52 |
container_issue |
177 |
container_start_page |
191 |
op_container_end_page |
202 |
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1766031496405057536 |
spelling |
ftunivnantes:oai:HAL:insu-00375735v1 2023-05-15T16:41:04+02:00 Analytical solutions for the effect of topography, accumulation rate and lateral flow divergence on isochrone layer geometry Parrenin, F. Hindmarsh, R. Remy, F. 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) Laboratoire d'études en Géophysique et océanographie spatiales (LEGOS) Institut de Recherche pour le Développement (IRD)-Université Toulouse III - Paul Sabatier (UT3) Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut national des sciences de l'Univers (INSU - CNRS)-Observatoire Midi-Pyrénées (OMP) Université Fédérale Toulouse Midi-Pyrénées-Université Fédérale Toulouse Midi-Pyrénées-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National d'Études Spatiales Toulouse (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Institut de Recherche pour le Développement (IRD)-Centre National d'Études Spatiales Toulouse (CNES)-Centre National de la Recherche Scientifique (CNRS)-Météo-France -Centre National de la Recherche Scientifique (CNRS) British Antarctic Survey (BAS) Natural Environment Research Council (NERC) 2006 https://hal-insu.archives-ouvertes.fr/insu-00375735 https://hal-insu.archives-ouvertes.fr/insu-00375735/document https://hal-insu.archives-ouvertes.fr/insu-00375735/file/analytical-solutions-for-the-effect-of-topography-accumulation-rate-and-lateral-flow-divergence-on-isochrone-layer-geometry.pdf https://doi.org/10.3189/172756506781828728 en eng HAL CCSD International Glaciological Society info:eu-repo/semantics/altIdentifier/doi/10.3189/172756506781828728 insu-00375735 https://hal-insu.archives-ouvertes.fr/insu-00375735 https://hal-insu.archives-ouvertes.fr/insu-00375735/document https://hal-insu.archives-ouvertes.fr/insu-00375735/file/analytical-solutions-for-the-effect-of-topography-accumulation-rate-and-lateral-flow-divergence-on-isochrone-layer-geometry.pdf doi:10.3189/172756506781828728 http://creativecommons.org/licenses/by/ info:eu-repo/semantics/OpenAccess ISSN: 0022-1430 EISSN: 1727-5652 Journal of Glaciology https://hal-insu.archives-ouvertes.fr/insu-00375735 Journal of Glaciology, 2006, 52 (177), pp.191 à 201. ⟨10.3189/172756506781828728⟩ [SDU.STU.GL]Sciences of the Universe [physics]/Earth Sciences/Glaciology info:eu-repo/semantics/article Journal articles 2006 ftunivnantes https://doi.org/10.3189/172756506781828728 2023-03-01T02:05:47Z International audience The effect of spatial variations in ice thickness, accumulation rate and lateral flow divergence on radar-detected isochrone geometry in ice sheets is computed using an analytical method, under assumptions of a steady-state ice-sheet geometry, a steady-state accumulation pattern and a horizontally uniform velocity shape function. By using a new coordinate transform, we show that the slope of the isochrones (with a normalized vertical coordinate) depends on three terms: a principal term which determines the sign of the slope, and two scale factors which can modify only the amplitude of the slope. The principal term depends only on a local characteristic time (ice thickness divided by accumulation rate minus melting rate) between the initial and final positions of the ice particle. For plug flow, only the initial and final values have an influence. Further applications are a demonstration of how the vertical velocity profile can be deduced from sharp changes in isochrone slopes induced by abrupt steps in bedrock or mass balance along the ice flow. We also demonstrate ways the new coordinate system may be used to test the accuracy of numerical flow models. Article in Journal/Newspaper Ice Sheet Journal of Glaciology Université de Nantes: HAL-UNIV-NANTES Journal of Glaciology 52 177 191 202 |