Extension of marine ice-sheet flux conditions to effective-pressure-dependent and hybrid friction laws
Marine ice sheets are complex systems with a highly non-linear behavior. There remains a large uncertainty about how various physical processes such as the basal friction and the subglacial hydrology affect the dynamics of the grounding line (GL). One possibility to better understand their mechanica...
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ftorbi:oai:orbi.ulg.ac.be:2268/291458 2024-04-21T08:05:01+00:00 Extension of marine ice-sheet flux conditions to effective-pressure-dependent and hybrid friction laws Gregov, Thomas Pattyn, Frank Arnst, Maarten 2022-05-24 https://orbi.uliege.be/handle/2268/291458 https://orbi.uliege.be/bitstream/2268/291458/1/EGU22-10208-print.pdf https://doi.org/10.5194/egusphere-egu22-10208 en eng https://orbi.uliege.be/handle/2268/291458 info:hdl:2268/291458 https://orbi.uliege.be/bitstream/2268/291458/1/EGU22-10208-print.pdf doi:10.5194/egusphere-egu22-10208 open access http://purl.org/coar/access_right/c_abf2 info:eu-repo/semantics/openAccess EGU General Assembly 2022, Vienne, Austria [AT], 23-27 May 2022 Physical chemical mathematical & earth Sciences Earth sciences & physical geography Physique chimie mathématiques & sciences de la terre Sciences de la terre & géographie physique conference paper not in proceedings http://purl.org/coar/resource_type/c_18cp info:eu-repo/semantics/conferencePaper 2022 ftorbi https://doi.org/10.5194/egusphere-egu22-10208 2024-03-27T14:51:59Z Marine ice sheets are complex systems with a highly non-linear behavior. There remains a large uncertainty about how various physical processes such as the basal friction and the subglacial hydrology affect the dynamics of the grounding line (GL). One possibility to better understand their mechanical behavior consists in adopting a boundary-layer analysis close to the GL. Specifically, one can derive a so-called flux condition, which is an analytical expression for the amount of ice that flows through this GL per unit time. In turn, this flux condition can provide useful information about the grounding-line dynamics, including the presence of hysteresis (Schoof, 2007b). Several studies have introduced hybrid friction laws to model friction between the grounded part of the ice sheet and the bedrock (Schoof, 2005, Gagliardini et al., 2007). These friction laws behave as power-law friction laws far from the GL and plastically closer to it. Recent experiments have shown that these models are more realistic than the usual power-law friction (Zoet and Iverson, 2020). In parallel, sophisticated models for the subglacial hydrology have been developed (Bueler and van Pelt, 2015). In this presentation, we show that the flux conditions previously derived for the Weertman friction law (Schoof, 2007a) and the Coulomb friction law (Tsai et al., 2015) can be extended to a flux condition for the general Budd friction law, with two different simple effective-pressure models for the subglacial hydrology. Using asymptotic developments, we provide a justification for the existence and uniqueness of a solution to the boundary-layer problem. Finally, we generalize our results to hybrid friction laws, based on a parametrization of the flux condition. Conference Object Ice Sheet University of Liège: ORBi (Open Repository and Bibliography) |
institution |
Open Polar |
collection |
University of Liège: ORBi (Open Repository and Bibliography) |
op_collection_id |
ftorbi |
language |
English |
topic |
Physical chemical mathematical & earth Sciences Earth sciences & physical geography Physique chimie mathématiques & sciences de la terre Sciences de la terre & géographie physique |
spellingShingle |
Physical chemical mathematical & earth Sciences Earth sciences & physical geography Physique chimie mathématiques & sciences de la terre Sciences de la terre & géographie physique Gregov, Thomas Pattyn, Frank Arnst, Maarten Extension of marine ice-sheet flux conditions to effective-pressure-dependent and hybrid friction laws |
topic_facet |
Physical chemical mathematical & earth Sciences Earth sciences & physical geography Physique chimie mathématiques & sciences de la terre Sciences de la terre & géographie physique |
description |
Marine ice sheets are complex systems with a highly non-linear behavior. There remains a large uncertainty about how various physical processes such as the basal friction and the subglacial hydrology affect the dynamics of the grounding line (GL). One possibility to better understand their mechanical behavior consists in adopting a boundary-layer analysis close to the GL. Specifically, one can derive a so-called flux condition, which is an analytical expression for the amount of ice that flows through this GL per unit time. In turn, this flux condition can provide useful information about the grounding-line dynamics, including the presence of hysteresis (Schoof, 2007b). Several studies have introduced hybrid friction laws to model friction between the grounded part of the ice sheet and the bedrock (Schoof, 2005, Gagliardini et al., 2007). These friction laws behave as power-law friction laws far from the GL and plastically closer to it. Recent experiments have shown that these models are more realistic than the usual power-law friction (Zoet and Iverson, 2020). In parallel, sophisticated models for the subglacial hydrology have been developed (Bueler and van Pelt, 2015). In this presentation, we show that the flux conditions previously derived for the Weertman friction law (Schoof, 2007a) and the Coulomb friction law (Tsai et al., 2015) can be extended to a flux condition for the general Budd friction law, with two different simple effective-pressure models for the subglacial hydrology. Using asymptotic developments, we provide a justification for the existence and uniqueness of a solution to the boundary-layer problem. Finally, we generalize our results to hybrid friction laws, based on a parametrization of the flux condition. |
format |
Conference Object |
author |
Gregov, Thomas Pattyn, Frank Arnst, Maarten |
author_facet |
Gregov, Thomas Pattyn, Frank Arnst, Maarten |
author_sort |
Gregov, Thomas |
title |
Extension of marine ice-sheet flux conditions to effective-pressure-dependent and hybrid friction laws |
title_short |
Extension of marine ice-sheet flux conditions to effective-pressure-dependent and hybrid friction laws |
title_full |
Extension of marine ice-sheet flux conditions to effective-pressure-dependent and hybrid friction laws |
title_fullStr |
Extension of marine ice-sheet flux conditions to effective-pressure-dependent and hybrid friction laws |
title_full_unstemmed |
Extension of marine ice-sheet flux conditions to effective-pressure-dependent and hybrid friction laws |
title_sort |
extension of marine ice-sheet flux conditions to effective-pressure-dependent and hybrid friction laws |
publishDate |
2022 |
url |
https://orbi.uliege.be/handle/2268/291458 https://orbi.uliege.be/bitstream/2268/291458/1/EGU22-10208-print.pdf https://doi.org/10.5194/egusphere-egu22-10208 |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_source |
EGU General Assembly 2022, Vienne, Austria [AT], 23-27 May 2022 |
op_relation |
https://orbi.uliege.be/handle/2268/291458 info:hdl:2268/291458 https://orbi.uliege.be/bitstream/2268/291458/1/EGU22-10208-print.pdf doi:10.5194/egusphere-egu22-10208 |
op_rights |
open access http://purl.org/coar/access_right/c_abf2 info:eu-repo/semantics/openAccess |
op_doi |
https://doi.org/10.5194/egusphere-egu22-10208 |
_version_ |
1796944546157821952 |