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Journal of Geophysical Research Atmospheres
Article . 2007
License: Wiley Online Library User Agreement
Data sources: Crossref
Hal-Diderot
Article . 2007
Data sources: Hal-Diderot
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Finite‐element modeling of subglacial cavities and related friction law

Authors: Gagliardini, Olivier; Cohen, D.; Raback, P.; Zwinger, Thomas;

Finite‐element modeling of subglacial cavities and related friction law

Abstract

International audience; Sliding velocity and basal drag are strongly influenced by changes in subglacial water pressure or subglacial water storage associated with opening and closing of water cavities in the lee of bedrock obstacles. To better understand this influence, finite-element simulations of ice flowing past bedrock obstacles with cavity formation are carried out for different synthetic periodic bedrock shapes. In the numerical model, the cavity roof is treated as an unknown free surface and is part of the solution. As an improvement over earlier studies, the cases of nonlinear ice rheology and infinite bedrock slopes are treated. Our results show that the relationship between basal drag and sliding velocity, the friction law, can be easily extended from linear to nonlinear ice rheology and is bounded even for bedrocks with locally infinite slopes. Combining our results with earlier works by others, a phenomenological friction law is proposed that includes three independent parameters that depend only on the bedrock geometry. This formulation yields an upper bound of the basal drag for finite sliding velocity and a decrease in the basal drag at low effective pressure or high velocity. This law should dramatically alter results of models of temperate glaciers and should also have important repercussions on models of glacier surges and fast glacier flows.

Country
France
Subjects by Vocabulary

Microsoft Academic Graph classification: Upper and lower bounds Rheology geography geography.geographical_feature_category Bedrock Glacier Finite element method Nonlinear system Drag Free surface Law Geology

Keywords

Atmospheric Science, friction law, glacier, Soil Science, Aquatic Science, Oceanography, Geochemistry and Petrology, Earth and Planetary Sciences (miscellaneous), [SDU.STU.GL]Sciences of the Universe [physics]/Earth Sciences/Glaciology, Earth-Surface Processes, Water Science and Technology, Ecology, Paleontology, Forestry, Geophysics, finite element, Space and Planetary Science

39 references, page 1 of 4

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  • citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    134
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Top 10%
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
134
Top 10%
Top 10%
Top 10%
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