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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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
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author S. Hergarten
author_facet S. Hergarten
author_sort S. Hergarten
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description <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>
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spelling doaj.art-d58ed4749f114420a861a345803d7f5e2023-09-08T07:16:14ZengCopernicus PublicationsNatural Hazards and Earth System Sciences1561-86331684-99812023-09-01233051306310.5194/nhess-23-3051-2023The concept of event-size-dependent exhaustion and its application to paraglacial rockslidesS. Hergarten<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>https://nhess.copernicus.org/articles/23/3051/2023/nhess-23-3051-2023.pdf
spellingShingle S. Hergarten
The concept of event-size-dependent exhaustion and its application to paraglacial rockslides
Natural Hazards and Earth System Sciences
title The concept of event-size-dependent exhaustion and its application to paraglacial rockslides
title_full The concept of event-size-dependent exhaustion and its application to paraglacial rockslides
title_fullStr The concept of event-size-dependent exhaustion and its application to paraglacial rockslides
title_full_unstemmed The concept of event-size-dependent exhaustion and its application to paraglacial rockslides
title_short The concept of event-size-dependent exhaustion and its application to paraglacial rockslides
title_sort concept of event size dependent exhaustion and its application to paraglacial rockslides
url https://nhess.copernicus.org/articles/23/3051/2023/nhess-23-3051-2023.pdf
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