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The Savage-Hutter avalanche model: how far can it be pushed?

Hutter, Kolumban and Wang, Yongqi and Pudasaini, Shiva P. :
The Savage-Hutter avalanche model: how far can it be pushed?
[Online-Edition: http://rsta.royalsocietypublishing.org/content/363/1832/1507...]
In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 363 (1832) pp. 1507-1528. ISSN 1364-503X
[Article] , (2005)

Official URL: http://rsta.royalsocietypublishing.org/content/363/1832/1507...

Abstract

The Savage-Hutter (SH) avalanche model is a depth-averaged dynamical model of a fluid-like continuum implementing the following simplifying assumptions: (i) density preserving, (ii) shallowness of the avalanche piles and small topographic curvatures, (iii) Coulomb-type sliding with bed friction angle δ and (iv) Mohr-Coulomb behaviour in the interior with internal angle of friction φ >= δ and an ad hoc assumption reducing the number of Mohr's circles in three-dimensional stress states to one. We scrutinize the available literature on information regarding these assumptions and thus delineate the ranges of validity of the proposed model equations. The discussion is limited to relatively large snow avalanches with negligible powder snow component and laboratory sand avalanches starting on steep slopes. The conclusion of the analysis is that the SH model is a valid model for sand avalanches, but its Mohr-Coulomb sliding law may have to be complemented for snow avalanches by a second velocity-dependent contribution. For very small snow avalanches and for laboratory avalanches starting on moderately steep and bumpy slopes it may not be adequate.

Item Type: Article
Erschienen: 2005
Creators: Hutter, Kolumban and Wang, Yongqi and Pudasaini, Shiva P.
Title: The Savage-Hutter avalanche model: how far can it be pushed?
Language: English
Abstract:

The Savage-Hutter (SH) avalanche model is a depth-averaged dynamical model of a fluid-like continuum implementing the following simplifying assumptions: (i) density preserving, (ii) shallowness of the avalanche piles and small topographic curvatures, (iii) Coulomb-type sliding with bed friction angle δ and (iv) Mohr-Coulomb behaviour in the interior with internal angle of friction φ >= δ and an ad hoc assumption reducing the number of Mohr's circles in three-dimensional stress states to one. We scrutinize the available literature on information regarding these assumptions and thus delineate the ranges of validity of the proposed model equations. The discussion is limited to relatively large snow avalanches with negligible powder snow component and laboratory sand avalanches starting on steep slopes. The conclusion of the analysis is that the SH model is a valid model for sand avalanches, but its Mohr-Coulomb sliding law may have to be complemented for snow avalanches by a second velocity-dependent contribution. For very small snow avalanches and for laboratory avalanches starting on moderately steep and bumpy slopes it may not be adequate.

Journal or Publication Title: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume: 363
Number: 1832
Publisher: The Royal Society
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Fluid Dynamics (fdy)
Date Deposited: 24 Aug 2011 17:57
DOI: 10.1098/rsta.2005.1594
Official URL: http://rsta.royalsocietypublishing.org/content/363/1832/1507...
Additional Information:

doi:10.1098/rsta.2005.1594

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