The concept of event-size-dependent exhaustion and its application to paraglacial rockslides

<p>Rockslides are a major hazard in mountainous regions. In formerly glaciated regions, the disposition mainly arises from oversteepened topography and decreases through time. However, little is known about this decrease and thus about the present-day hazard of huge, potentially catastrophic r...

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Bibliographic Details
Main Author: S. Hergarten
Format: Article
Language:English
Published: Copernicus Publications 2023-09-01
Series:Natural Hazards and Earth System Sciences
Online Access:https://nhess.copernicus.org/articles/23/3051/2023/nhess-23-3051-2023.pdf
Description
Summary:<p>Rockslides are a major hazard in mountainous regions. In formerly glaciated regions, the disposition mainly arises from oversteepened topography and decreases through time. However, little is known about this decrease and thus about the present-day hazard of huge, potentially catastrophic rockslides. This paper presents a new theoretical concept that combines the decrease in disposition with the power-law distribution of rockslide volumes found in several studies. The concept starts from a given initial set of potential events, which are randomly triggered through time at a probability that depends on event size. The developed theoretical framework is applied to paraglacial rockslides in the European Alps, where available data allow for constraining the parameters reasonably well. The results suggest that the probability of triggering increases roughly with the cube root of the volume. For small rockslides up to 1000 <span class="inline-formula">m<sup>3</sup></span>, an exponential decrease in the frequency with an <span class="inline-formula"><i>e</i></span>-folding time longer than 65 000 years is predicted. In turn, the predicted <span class="inline-formula"><i>e</i></span>-folding time is shorter than 2000 years for volumes of 10 <span class="inline-formula">km<sup>3</sup></span>, so the occurrence of such huge rockslides is unlikely at the present time. For the largest rockslide possible at the present time, a median volume of 0.5 to 1 <span class="inline-formula">km<sup>3</sup></span> is predicted. With a volume of 0.27 <span class="inline-formula">km<sup>3</sup></span>, the artificially triggered rockslide that hit the Vaiont reservoir in 1963 is thus not extraordinarily large. Concerning its frequency of occurrence, however, it can be considered a 700- to 1200-year event.</p>
ISSN:1561-8633
1684-9981