Scaling relationships for constant-volume snow avalanches
International audience We present simple scaling relationships that allow us to predict the main dynamical characteristics (height, length and velocity) of constant-volume snow avalanches with minimal input data. In particular, we show that both avalanche height and length can be expressed as a func...
Published in: | Annals of Glaciology |
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ftccsdartic:oai:HAL:hal-02592334v1 2023-05-15T13:29:13+02:00 Scaling relationships for constant-volume snow avalanches Lois d'échelle pour des avalanches de neige à volume constant Chambon, Guillaume Naaim, Mohamed Érosion torrentielle, neige et avalanches (UR ETGR (ETNA)) Centre national du machinisme agricole, du génie rural, des eaux et forêts (CEMAGREF) French National Research Agency (ANR) 2010 https://hal.inrae.fr/hal-02592334 https://doi.org/10.3189/172756410791386562 en eng HAL CCSD International Glaciological Society info:eu-repo/semantics/altIdentifier/doi/10.3189/172756410791386562 hal-02592334 https://hal.inrae.fr/hal-02592334 doi:10.3189/172756410791386562 IRSTEA: PUB00027236 WOS: 000281033900019 ISSN: 0260-3055 Annals of Glaciology https://hal.inrae.fr/hal-02592334 Annals of Glaciology, International Glaciological Society, 2010, 51 (54), pp.129-138. ⟨10.3189/172756410791386562⟩ LOI DE VOELLMY SOLUTION AUTOSIMILAIRE MODELE DE SAINT-VENANT LOI D'ECHELLE [SDE]Environmental Sciences info:eu-repo/semantics/article Journal articles 2010 ftccsdartic https://doi.org/10.3189/172756410791386562 2021-08-07T23:06:14Z International audience We present simple scaling relationships that allow us to predict the main dynamical characteristics (height, length and velocity) of constant-volume snow avalanches with minimal input data. In particular, we show that both avalanche height and length can be expressed as a function of the avalanche volume and the distance travelled by the front, independent of the specific rheological parameters of the snow. These scaling relationships are derived from a large-time asymptotic solution to the avalanche dynamic equations, corresponding to a balance between gravity and Voellmy friction (the kinematic wave approximation). Numerical simulations of the complete hydraulic shallow-flow equations confirm that this asymptotic solution, and the predicted scaling relationships, capture the main avalanche characteristics, even for relatively small travel distances. Though derived under restrictive assumptions, we argue that the scaling relationships described in this paper may constitute useful tools for avalanche engineering and design of protective structures. Article in Journal/Newspaper Annals of Glaciology Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) Annals of Glaciology 51 54 129 138 |
institution |
Open Polar |
collection |
Archive ouverte HAL (Hyper Article en Ligne, CCSD - Centre pour la Communication Scientifique Directe) |
op_collection_id |
ftccsdartic |
language |
English |
topic |
LOI DE VOELLMY SOLUTION AUTOSIMILAIRE MODELE DE SAINT-VENANT LOI D'ECHELLE [SDE]Environmental Sciences |
spellingShingle |
LOI DE VOELLMY SOLUTION AUTOSIMILAIRE MODELE DE SAINT-VENANT LOI D'ECHELLE [SDE]Environmental Sciences Chambon, Guillaume Naaim, Mohamed Scaling relationships for constant-volume snow avalanches |
topic_facet |
LOI DE VOELLMY SOLUTION AUTOSIMILAIRE MODELE DE SAINT-VENANT LOI D'ECHELLE [SDE]Environmental Sciences |
description |
International audience We present simple scaling relationships that allow us to predict the main dynamical characteristics (height, length and velocity) of constant-volume snow avalanches with minimal input data. In particular, we show that both avalanche height and length can be expressed as a function of the avalanche volume and the distance travelled by the front, independent of the specific rheological parameters of the snow. These scaling relationships are derived from a large-time asymptotic solution to the avalanche dynamic equations, corresponding to a balance between gravity and Voellmy friction (the kinematic wave approximation). Numerical simulations of the complete hydraulic shallow-flow equations confirm that this asymptotic solution, and the predicted scaling relationships, capture the main avalanche characteristics, even for relatively small travel distances. Though derived under restrictive assumptions, we argue that the scaling relationships described in this paper may constitute useful tools for avalanche engineering and design of protective structures. |
author2 |
Érosion torrentielle, neige et avalanches (UR ETGR (ETNA)) Centre national du machinisme agricole, du génie rural, des eaux et forêts (CEMAGREF) French National Research Agency (ANR) |
format |
Article in Journal/Newspaper |
author |
Chambon, Guillaume Naaim, Mohamed |
author_facet |
Chambon, Guillaume Naaim, Mohamed |
author_sort |
Chambon, Guillaume |
title |
Scaling relationships for constant-volume snow avalanches |
title_short |
Scaling relationships for constant-volume snow avalanches |
title_full |
Scaling relationships for constant-volume snow avalanches |
title_fullStr |
Scaling relationships for constant-volume snow avalanches |
title_full_unstemmed |
Scaling relationships for constant-volume snow avalanches |
title_sort |
scaling relationships for constant-volume snow avalanches |
publisher |
HAL CCSD |
publishDate |
2010 |
url |
https://hal.inrae.fr/hal-02592334 https://doi.org/10.3189/172756410791386562 |
genre |
Annals of Glaciology |
genre_facet |
Annals of Glaciology |
op_source |
ISSN: 0260-3055 Annals of Glaciology https://hal.inrae.fr/hal-02592334 Annals of Glaciology, International Glaciological Society, 2010, 51 (54), pp.129-138. ⟨10.3189/172756410791386562⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.3189/172756410791386562 hal-02592334 https://hal.inrae.fr/hal-02592334 doi:10.3189/172756410791386562 IRSTEA: PUB00027236 WOS: 000281033900019 |
op_doi |
https://doi.org/10.3189/172756410791386562 |
container_title |
Annals of Glaciology |
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51 |
container_issue |
54 |
container_start_page |
129 |
op_container_end_page |
138 |
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1765999332771758080 |