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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 />

The Icelandic Meteorological Office (IMO) has used the SAMOS model for various<br />

applicati<strong>on</strong>s since the year 2000. In the following, some results of this work are summarised<br />

and methods and operati<strong>on</strong>al guidelines which have been developed are outlined briefly.<br />

2. SIMULATION OF AVALANCHES OVER A WIDE SIZE RANGE<br />

The c<strong>on</strong>cept of the standard path was introduced by Jónass<strong>on</strong> and others (1999) to define a<br />

general scale for measuring the run-out distance of avalanches. This measure of run-out is<br />

called the run-out index and is defined as the horiz<strong>on</strong>tal distance, in [hm], to the stopping<br />

positi<strong>on</strong> of an avalanche that has been transferred to the standard path from its original path.<br />

The run-out index is traditi<strong>on</strong>ally a scalar since the avalanche path is represented by a single<br />

flow-line <strong>on</strong> which the stopping positi<strong>on</strong> is a single point that can be explicitly defined by the<br />

<strong>on</strong>e-dimensi<strong>on</strong>al system horiz<strong>on</strong>tal distance al<strong>on</strong>g the flow-line [hm]. The evaluati<strong>on</strong> of runout<br />

indices relies <strong>on</strong> a slight modificati<strong>on</strong> of the traditi<strong>on</strong>al 2-parameter PCM snow avalanche<br />

model. Run-out indices have proved to be useful both to simplify the comparis<strong>on</strong> of different<br />

avalanches and to carry out a statistical analysis of the run-out of avalanches in a collecti<strong>on</strong> of<br />

different avalanche paths. The run-out index scale has been used extensively at the IMO and<br />

has gained an increased expectance since its introducti<strong>on</strong>.<br />

2.1 2D run-out index<br />

A two-dimensi<strong>on</strong>al model for snow avalanche moti<strong>on</strong> may be used to extend the run-out<br />

index c<strong>on</strong>cept to two dimensi<strong>on</strong>s. It is possible to create run-out index isolines by determining<br />

run-out indices <strong>on</strong> multiple flow-lines al<strong>on</strong>g a mountainside and interpolate between matching<br />

values. This could be suggested as a two-dimensi<strong>on</strong>al run-out index. However, this method is<br />

limited because of the inherent limitati<strong>on</strong>s of flow-line models.<br />

Figure 1 A birds view of the three-dimensi<strong>on</strong>al standard path. The parallel lines in red<br />

mark horiz<strong>on</strong>tal distance from the top in 100 m increments in the range<br />

1000−2000 m. The corresp<strong>on</strong>ding run-out indices are defined as the distance in<br />

[hm] and are thus in the range from 10−20.<br />

Flow-line models <strong>on</strong>ly c<strong>on</strong>sider the geometry of the path in the downstream directi<strong>on</strong>. This<br />

might be sufficient in an unc<strong>on</strong>fined mountainside, but frequently, topographical features such<br />

as gorges, gullies and ridges stretch al<strong>on</strong>g avalanche paths. These features, which tend to<br />

channelise or spread the flow of the avalanche, can either magnify or reduce the run-out<br />

164 Applicati<strong>on</strong> of two-dimensi<strong>on</strong>al avalanche model simulati<strong>on</strong>s at the IMO

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