Chaotic dynamics of a glaciohydraulic model
A model subglacial drainage system, coupled to an ice-dammed reservoir that receives a time-varying meltwater input, is described and analysed. In numerical experiments an ice-marginal lake drains through a subglacial channel, producing periodic floods, and fills with meltwater at a rate dependent o...
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International Glaciological Society
2015
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Online Access: | http://nora.nerc.ac.uk/id/eprint/511045/ https://nora.nerc.ac.uk/id/eprint/511045/1/Kingslake%202015.pdf https://doi.org/10.3189/2015JoG14J208 |
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ftnerc:oai:nora.nerc.ac.uk:511045 2023-05-15T16:57:30+02:00 Chaotic dynamics of a glaciohydraulic model Kingslake, J. 2015-06 text http://nora.nerc.ac.uk/id/eprint/511045/ https://nora.nerc.ac.uk/id/eprint/511045/1/Kingslake%202015.pdf https://doi.org/10.3189/2015JoG14J208 en eng International Glaciological Society https://nora.nerc.ac.uk/id/eprint/511045/1/Kingslake%202015.pdf Kingslake, J. 2015 Chaotic dynamics of a glaciohydraulic model. Journal of Glaciology, 61 (227). 493-502. https://doi.org/10.3189/2015JoG14J208 <https://doi.org/10.3189/2015JoG14J208> Publication - Article PeerReviewed 2015 ftnerc https://doi.org/10.3189/2015JoG14J208 2023-02-04T19:41:42Z A model subglacial drainage system, coupled to an ice-dammed reservoir that receives a time-varying meltwater input, is described and analysed. In numerical experiments an ice-marginal lake drains through a subglacial channel, producing periodic floods, and fills with meltwater at a rate dependent on air temperature, which varies seasonally with a peak value of Tm. The analysis reveals regions of Tm parameter space corresponding to ‘mode locking’, where flood repeat time is independent of Tm; resonance, where decreasing Tm counter-intuitively increases flood size; and chaotic dynamics, where flood cycles are sensitive to initial conditions, never repeat and exhibit phase-space mixing. Bifurcations associated with abrupt changes in flood size and timing within the year separate these regions. This is the first time these complex dynamics have been displayed by a glaciohydraulic model and these findings have implications for our understanding of ice-marginal lakes, moulins and subglacial lakes. Article in Journal/Newspaper Journal of Glaciology Natural Environment Research Council: NERC Open Research Archive Marginal Lake ENVELOPE(163.500,163.500,-74.600,-74.600) Journal of Glaciology 61 227 493 502 |
institution |
Open Polar |
collection |
Natural Environment Research Council: NERC Open Research Archive |
op_collection_id |
ftnerc |
language |
English |
description |
A model subglacial drainage system, coupled to an ice-dammed reservoir that receives a time-varying meltwater input, is described and analysed. In numerical experiments an ice-marginal lake drains through a subglacial channel, producing periodic floods, and fills with meltwater at a rate dependent on air temperature, which varies seasonally with a peak value of Tm. The analysis reveals regions of Tm parameter space corresponding to ‘mode locking’, where flood repeat time is independent of Tm; resonance, where decreasing Tm counter-intuitively increases flood size; and chaotic dynamics, where flood cycles are sensitive to initial conditions, never repeat and exhibit phase-space mixing. Bifurcations associated with abrupt changes in flood size and timing within the year separate these regions. This is the first time these complex dynamics have been displayed by a glaciohydraulic model and these findings have implications for our understanding of ice-marginal lakes, moulins and subglacial lakes. |
format |
Article in Journal/Newspaper |
author |
Kingslake, J. |
spellingShingle |
Kingslake, J. Chaotic dynamics of a glaciohydraulic model |
author_facet |
Kingslake, J. |
author_sort |
Kingslake, J. |
title |
Chaotic dynamics of a glaciohydraulic model |
title_short |
Chaotic dynamics of a glaciohydraulic model |
title_full |
Chaotic dynamics of a glaciohydraulic model |
title_fullStr |
Chaotic dynamics of a glaciohydraulic model |
title_full_unstemmed |
Chaotic dynamics of a glaciohydraulic model |
title_sort |
chaotic dynamics of a glaciohydraulic model |
publisher |
International Glaciological Society |
publishDate |
2015 |
url |
http://nora.nerc.ac.uk/id/eprint/511045/ https://nora.nerc.ac.uk/id/eprint/511045/1/Kingslake%202015.pdf https://doi.org/10.3189/2015JoG14J208 |
long_lat |
ENVELOPE(163.500,163.500,-74.600,-74.600) |
geographic |
Marginal Lake |
geographic_facet |
Marginal Lake |
genre |
Journal of Glaciology |
genre_facet |
Journal of Glaciology |
op_relation |
https://nora.nerc.ac.uk/id/eprint/511045/1/Kingslake%202015.pdf Kingslake, J. 2015 Chaotic dynamics of a glaciohydraulic model. Journal of Glaciology, 61 (227). 493-502. https://doi.org/10.3189/2015JoG14J208 <https://doi.org/10.3189/2015JoG14J208> |
op_doi |
https://doi.org/10.3189/2015JoG14J208 |
container_title |
Journal of Glaciology |
container_volume |
61 |
container_issue |
227 |
container_start_page |
493 |
op_container_end_page |
502 |
_version_ |
1766049067206443008 |