Influence of a non-uniform velocity field on isochrone geometry along a steady flowline of an ice sheet
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 sl...
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International Glaciological Society
2007
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ftnerc:oai:nora.nerc.ac.uk:11870 2023-05-15T16:40:21+02:00 Influence of a non-uniform velocity field on isochrone geometry along a steady flowline of an ice sheet Parrenin, Frédéric Hindmarsh, Richard 2007 http://nora.nerc.ac.uk/id/eprint/11870/ unknown International Glaciological Society Parrenin, Frédéric; Hindmarsh, Richard orcid:0000-0003-1633-2416 . 2007 Influence of a non-uniform velocity field on isochrone geometry along a steady flowline of an ice sheet. Journal of Glaciology, 53 (183). 612-622. https://doi.org/10.3189/002214307784409298 <https://doi.org/10.3189/002214307784409298> Glaciology Publication - Article PeerReviewed 2007 ftnerc https://doi.org/10.3189/002214307784409298 2023-02-04T19:27:39Z 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 Natural Environment Research Council: NERC Open Research Archive Weertman ENVELOPE(-67.753,-67.753,-66.972,-66.972) Journal of Glaciology 53 183 612 622 |
institution |
Open Polar |
collection |
Natural Environment Research Council: NERC Open Research Archive |
op_collection_id |
ftnerc |
language |
unknown |
topic |
Glaciology |
spellingShingle |
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 |
Glaciology |
description |
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. |
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 |
International Glaciological Society |
publishDate |
2007 |
url |
http://nora.nerc.ac.uk/id/eprint/11870/ |
long_lat |
ENVELOPE(-67.753,-67.753,-66.972,-66.972) |
geographic |
Weertman |
geographic_facet |
Weertman |
genre |
Ice Sheet Journal of Glaciology |
genre_facet |
Ice Sheet Journal of Glaciology |
op_relation |
Parrenin, Frédéric; Hindmarsh, Richard orcid:0000-0003-1633-2416 . 2007 Influence of a non-uniform velocity field on isochrone geometry along a steady flowline of an ice sheet. Journal of Glaciology, 53 (183). 612-622. https://doi.org/10.3189/002214307784409298 <https://doi.org/10.3189/002214307784409298> |
op_doi |
https://doi.org/10.3189/002214307784409298 |
container_title |
Journal of Glaciology |
container_volume |
53 |
container_issue |
183 |
container_start_page |
612 |
op_container_end_page |
622 |
_version_ |
1766030739324796928 |