A theoretical steady state profile of ice sheets (two-dimentional model)
The Nye's kinematic theory of ice sheet profiles is revised on the basis of the conservation law of ice mass, because the Nye's ice sheet model or the revised Haefeli's model does not satisfy the ice mass conservation law and therefore they cannot have a steady state. In the present r...
Main Author: | |
---|---|
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
National Institute of Polar Research
1977
|
Subjects: | |
Online Access: | https://doi.org/10.15094/00007961 https://doaj.org/article/019c4f09fda94a07a2de2c260941a9ac |
id |
fttriple:oai:gotriple.eu:oai:doaj.org/article:019c4f09fda94a07a2de2c260941a9ac |
---|---|
record_format |
openpolar |
spelling |
fttriple:oai:gotriple.eu:oai:doaj.org/article:019c4f09fda94a07a2de2c260941a9ac 2023-05-15T16:29:21+02:00 A theoretical steady state profile of ice sheets (two-dimentional model) Takesi Nagata 1977-11-01 https://doi.org/10.15094/00007961 https://doaj.org/article/019c4f09fda94a07a2de2c260941a9ac en other eng National Institute of Polar Research doi:10.15094/00007961 0085-7289 2432-079X https://doaj.org/article/019c4f09fda94a07a2de2c260941a9ac undefined Antarctic Record, Iss 60, Pp 13-27 (1977) geo envir Journal Article https://vocabularies.coar-repositories.org/resource_types/c_6501/ 1977 fttriple https://doi.org/10.15094/00007961 2023-01-22T19:12:27Z The Nye's kinematic theory of ice sheet profiles is revised on the basis of the conservation law of ice mass, because the Nye's ice sheet model or the revised Haefeli's model does not satisfy the ice mass conservation law and therefore they cannot have a steady state. In the present revised theory, the mass conservation condition is represented by [numerical formula] in place of Nye-Haefeli assumption that bx=uh, where cos θ・ds=dx, -dh/dx=tanθ, and b and h(x) denote respectively the ice accumulation rate and the height of ice sheet surface. Then, the revised ice sheet profile is expressed by [numerical formula], where h=H at x=0 and x=L at h=0. This ice sheet profile model satisfies the ice mass conservation within the ice sheet. In this model, the equilibrium point to separate the ablation area from the accumulation area is clearly defined, and the stream-lines of ice now within the ice sheet are explicitly determined. It seems further that the agreement of the present steady state theoretical model of ice sheet profile with the observed data in Greenland is satisfactory. Article in Journal/Newspaper Greenland Ice Sheet Unknown Greenland |
institution |
Open Polar |
collection |
Unknown |
op_collection_id |
fttriple |
language |
English |
topic |
geo envir |
spellingShingle |
geo envir Takesi Nagata A theoretical steady state profile of ice sheets (two-dimentional model) |
topic_facet |
geo envir |
description |
The Nye's kinematic theory of ice sheet profiles is revised on the basis of the conservation law of ice mass, because the Nye's ice sheet model or the revised Haefeli's model does not satisfy the ice mass conservation law and therefore they cannot have a steady state. In the present revised theory, the mass conservation condition is represented by [numerical formula] in place of Nye-Haefeli assumption that bx=uh, where cos θ・ds=dx, -dh/dx=tanθ, and b and h(x) denote respectively the ice accumulation rate and the height of ice sheet surface. Then, the revised ice sheet profile is expressed by [numerical formula], where h=H at x=0 and x=L at h=0. This ice sheet profile model satisfies the ice mass conservation within the ice sheet. In this model, the equilibrium point to separate the ablation area from the accumulation area is clearly defined, and the stream-lines of ice now within the ice sheet are explicitly determined. It seems further that the agreement of the present steady state theoretical model of ice sheet profile with the observed data in Greenland is satisfactory. |
format |
Article in Journal/Newspaper |
author |
Takesi Nagata |
author_facet |
Takesi Nagata |
author_sort |
Takesi Nagata |
title |
A theoretical steady state profile of ice sheets (two-dimentional model) |
title_short |
A theoretical steady state profile of ice sheets (two-dimentional model) |
title_full |
A theoretical steady state profile of ice sheets (two-dimentional model) |
title_fullStr |
A theoretical steady state profile of ice sheets (two-dimentional model) |
title_full_unstemmed |
A theoretical steady state profile of ice sheets (two-dimentional model) |
title_sort |
theoretical steady state profile of ice sheets (two-dimentional model) |
publisher |
National Institute of Polar Research |
publishDate |
1977 |
url |
https://doi.org/10.15094/00007961 https://doaj.org/article/019c4f09fda94a07a2de2c260941a9ac |
geographic |
Greenland |
geographic_facet |
Greenland |
genre |
Greenland Ice Sheet |
genre_facet |
Greenland Ice Sheet |
op_source |
Antarctic Record, Iss 60, Pp 13-27 (1977) |
op_relation |
doi:10.15094/00007961 0085-7289 2432-079X https://doaj.org/article/019c4f09fda94a07a2de2c260941a9ac |
op_rights |
undefined |
op_doi |
https://doi.org/10.15094/00007961 |
_version_ |
1766019051411210240 |