An analysis of instabilities and limit cycles in glacier-dammed reservoirs
Glacier lake outburst floods are common glacial hazards around the world. How big such floods can become (either in terms of peak discharge or in terms of total volume released) depends on how they are initiated: what causes the runaway enlargement of a subglacial or other conduit to start the flood...
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2020
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ftdoajarticles:oai:doaj.org/article:7725c016e338437180eff580a21a7d7b 2023-05-15T18:32:26+02:00 An analysis of instabilities and limit cycles in glacier-dammed reservoirs C. Schoof 2020-09-01T00:00:00Z https://doi.org/10.5194/tc-14-3175-2020 https://doaj.org/article/7725c016e338437180eff580a21a7d7b EN eng Copernicus Publications https://tc.copernicus.org/articles/14/3175/2020/tc-14-3175-2020.pdf https://doaj.org/toc/1994-0416 https://doaj.org/toc/1994-0424 doi:10.5194/tc-14-3175-2020 1994-0416 1994-0424 https://doaj.org/article/7725c016e338437180eff580a21a7d7b The Cryosphere, Vol 14, Pp 3175-3194 (2020) Environmental sciences GE1-350 Geology QE1-996.5 article 2020 ftdoajarticles https://doi.org/10.5194/tc-14-3175-2020 2022-12-31T01:50:39Z Glacier lake outburst floods are common glacial hazards around the world. How big such floods can become (either in terms of peak discharge or in terms of total volume released) depends on how they are initiated: what causes the runaway enlargement of a subglacial or other conduit to start the flood, and how big can the lake get before that point is reached? Here we investigate how the spontaneous channelization of a linked-cavity drainage system can control the onset of floods. In agreement with previous work, we show that floods only occur in a band of water throughput rates in which steady reservoir drainage is unstable, and we identify stabilizing mechanisms that allow steady drainage of an ice-dammed reservoir. We also show how stable limit cycle solutions emerge from the instability and identify parameter regimes in which the resulting floods cause flotation of the ice dam. These floods are likely to be initiated by flotation rather than the unstable enlargement of a distributed drainage system. Article in Journal/Newspaper The Cryosphere Directory of Open Access Journals: DOAJ Articles The Cryosphere 14 9 3175 3194 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
Environmental sciences GE1-350 Geology QE1-996.5 |
spellingShingle |
Environmental sciences GE1-350 Geology QE1-996.5 C. Schoof An analysis of instabilities and limit cycles in glacier-dammed reservoirs |
topic_facet |
Environmental sciences GE1-350 Geology QE1-996.5 |
description |
Glacier lake outburst floods are common glacial hazards around the world. How big such floods can become (either in terms of peak discharge or in terms of total volume released) depends on how they are initiated: what causes the runaway enlargement of a subglacial or other conduit to start the flood, and how big can the lake get before that point is reached? Here we investigate how the spontaneous channelization of a linked-cavity drainage system can control the onset of floods. In agreement with previous work, we show that floods only occur in a band of water throughput rates in which steady reservoir drainage is unstable, and we identify stabilizing mechanisms that allow steady drainage of an ice-dammed reservoir. We also show how stable limit cycle solutions emerge from the instability and identify parameter regimes in which the resulting floods cause flotation of the ice dam. These floods are likely to be initiated by flotation rather than the unstable enlargement of a distributed drainage system. |
format |
Article in Journal/Newspaper |
author |
C. Schoof |
author_facet |
C. Schoof |
author_sort |
C. Schoof |
title |
An analysis of instabilities and limit cycles in glacier-dammed reservoirs |
title_short |
An analysis of instabilities and limit cycles in glacier-dammed reservoirs |
title_full |
An analysis of instabilities and limit cycles in glacier-dammed reservoirs |
title_fullStr |
An analysis of instabilities and limit cycles in glacier-dammed reservoirs |
title_full_unstemmed |
An analysis of instabilities and limit cycles in glacier-dammed reservoirs |
title_sort |
analysis of instabilities and limit cycles in glacier-dammed reservoirs |
publisher |
Copernicus Publications |
publishDate |
2020 |
url |
https://doi.org/10.5194/tc-14-3175-2020 https://doaj.org/article/7725c016e338437180eff580a21a7d7b |
genre |
The Cryosphere |
genre_facet |
The Cryosphere |
op_source |
The Cryosphere, Vol 14, Pp 3175-3194 (2020) |
op_relation |
https://tc.copernicus.org/articles/14/3175/2020/tc-14-3175-2020.pdf https://doaj.org/toc/1994-0416 https://doaj.org/toc/1994-0424 doi:10.5194/tc-14-3175-2020 1994-0416 1994-0424 https://doaj.org/article/7725c016e338437180eff580a21a7d7b |
op_doi |
https://doi.org/10.5194/tc-14-3175-2020 |
container_title |
The Cryosphere |
container_volume |
14 |
container_issue |
9 |
container_start_page |
3175 |
op_container_end_page |
3194 |
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1766216543563153408 |