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International Symposium on Mitigative Measures against Snow ...

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<str<strong>on</strong>g>Internati<strong>on</strong>al</str<strong>on</strong>g> <str<strong>on</strong>g>Symposium</str<strong>on</strong>g> <strong>on</strong> <strong>Mitigative</strong> <strong>Measures</strong> <strong>against</strong> <strong>Snow</strong> Avalanches<br />

Egilsstaðir, Iceland, March 11–14, 2008<br />

and released in October 2007. The advanced model provides simulati<strong>on</strong> tools for dense and<br />

for powder flow avalanches, depending <strong>on</strong> the respective settings. The previous Samos<br />

simulati<strong>on</strong> platform has been totally altered in order to provide improved results and an easier<br />

software handling. In regard of these enhanced technologies the appellati<strong>on</strong> Samos has been<br />

adapted by the affix AT for the Advanced Technology.<br />

2. OBJECTIVES<br />

The Samos model (release 1999) significantly overestimated the total avalanche runout<br />

distances. Especially the simulati<strong>on</strong> of the dense flow part resulted in n<strong>on</strong>satisfying outcomes<br />

mainly due to the fricti<strong>on</strong> model. The powder model, which is coupled with the dense flow<br />

part, overrated the runout particularly in the pressure z<strong>on</strong>e between 1−5 kPa. Therefore, the<br />

main emphasis in the development of SamosAT was the proper modelling of the dense flow<br />

part and the improvement of the runout behaviour for the powder part.<br />

3. METHODS<br />

Major changes have been made in the calculati<strong>on</strong> of the dense flow part, in the alterati<strong>on</strong> of<br />

the simulati<strong>on</strong> envir<strong>on</strong>ment of the powder part and finally in optimising the resuspensi<strong>on</strong><br />

layer, which is resp<strong>on</strong>sible for the transiti<strong>on</strong> of the dense snow into the powder layer.<br />

Extensive tests with various fricti<strong>on</strong> laws were necessary to find a suitable setup for properly<br />

modelling the dense flow avalanche.<br />

⎛<br />

⎞<br />

0<br />

2<br />

( b)<br />

R ( )<br />

0 tan ⎜<br />

s<br />

b ρ u<br />

τ = τ + δ ⋅ 1 ⎟<br />

⎜<br />

+ ⋅ +<br />

0 ⎟<br />

σ<br />

[1]<br />

2<br />

Rs<br />

+ Rs<br />

⎛ ⎞<br />

⎝<br />

⎠<br />

1 h<br />

⎜ ln + B⎟<br />

⎝ κ R ⎠<br />

The SamosAT fricti<strong>on</strong> law [1] in the actual setting provides suitable runout behaviour. The<br />

bed fricti<strong>on</strong> angle tanδ still plays the decisive role in the calculati<strong>on</strong> of the maximum<br />

0<br />

R<br />

avalanche runout. The term ( S , Rs) increases the bed fricti<strong>on</strong> angle at lower avalanche<br />

velocities in order to stop smaller avalanches more realistically and to prevent lateral<br />

0<br />

spreading of avalanches at very low flow heights (under 0,5 m depending <strong>on</strong> the setting).<br />

R S<br />

is an empirically determined c<strong>on</strong>stant to reduce the spreading of avalanches at very low<br />

velocities.<br />

Another step was the alterati<strong>on</strong> of the irregular Delauny triangulati<strong>on</strong> to a c<strong>on</strong>stant Eulerian<br />

grid. This improves the calculati<strong>on</strong> time, increases the stability and reduces random outliers.<br />

The flexible user interface provides extended possibilities in avalanche simulati<strong>on</strong>s especially<br />

in the data in- and output.<br />

The calculati<strong>on</strong> of the powder snow avalanche in the newly released model is performed <strong>on</strong><br />

an AVL-Swift V8 platform. The basic formulas have been adapted to the SamosAT model.<br />

Additi<strong>on</strong>ally, a real two phase calculati<strong>on</strong> model of ice particles and air has been integrated to<br />

obtain a more realistic simulati<strong>on</strong> of the aerosol. Besides the gain of mass particles, this<br />

method allows for a supplementary loss of snow particles al<strong>on</strong>g the avalanche path.<br />

Granig and Oberndorfer 49

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