A temperature-dependent mechanical model to assess the stability of degrading permafrost rock slopes

<p>Over the last 2 decades, permafrost degradation has been observed to be a major driver of enhanced rock slope instability and associated hazards in high mountains. While the thermal regime of permafrost degradation in high mountains has been addressed in several modelling approaches, no mec...

Full description

Bibliographic Details
Main Authors: P. Mamot, S. Weber, S. Eppinger, M. Krautblatter
Format: Article
Language:English
Published: Copernicus Publications 2021-09-01
Series:Earth Surface Dynamics
Online Access:https://esurf.copernicus.org/articles/9/1125/2021/esurf-9-1125-2021.pdf
_version_ 1819131085601112064
author P. Mamot
S. Weber
S. Eppinger
M. Krautblatter
author_facet P. Mamot
S. Weber
S. Eppinger
M. Krautblatter
author_sort P. Mamot
collection DOAJ
description <p>Over the last 2 decades, permafrost degradation has been observed to be a major driver of enhanced rock slope instability and associated hazards in high mountains. While the thermal regime of permafrost degradation in high mountains has been addressed in several modelling approaches, no mechanical models that thoroughly explain rock slope destabilisation controls in degrading permafrost have been developed. Meanwhile, recent laboratory studies have shown that degrading permafrost affects both, rock and ice mechanical strength parameters as well as the strength of rock–ice interfaces. This study presents a first general approach for a temperature-dependent numerical stability model that simulates the mechanical response of a warming and thawing permafrost rock slope. The proposed procedure is exemplified using a rockslide at the permafrost-affected Zugspitze summit crest. Laboratory tests on frozen and unfrozen rock joint and intact rock properties provide material parameters for discontinuum models developed with the Universal Distinct Element Code (UDEC). Geophysical and geotechnical field surveys reveal information on permafrost distribution and the fracture network. This model can demonstrate how warming decreases rock slope stability to a critical level and why thawing initiates failure. A generalised sensitivity analysis of the model with a simplified geometry and warming trajectory below 0 <span class="inline-formula"><sup>∘</sup></span>C shows that progressive warming close to the melting point initiates instability above a critical slope angle of 50–62<span class="inline-formula"><sup>∘</sup></span>, depending on the orientation of the fracture network. The increase in displacements intensifies for warming steps closer to 0 <span class="inline-formula"><sup>∘</sup></span>C. The simplified and generalised model can be applied to permafrost rock slopes (i) which warm above <span class="inline-formula">−4</span> <span class="inline-formula"><sup>∘</sup></span>C, (ii) with ice-filled joints, (iii) with fractured limestone or probably most of the rock types relevant for permafrost rock slope failure, and (iv) with a wide range of slope angles (30–70<span class="inline-formula"><sup>∘</sup></span>) and orientations of the fracture network (consisting of three joint sets). Here, we present a benchmark model capable of assessing the future destabilisation of degrading permafrost rock slopes.</p>
first_indexed 2024-12-22T09:09:54Z
format Article
id doaj.art-8774097d3fc54b98a64af98dddaf909a
institution Directory Open Access Journal
issn 2196-6311
2196-632X
language English
last_indexed 2024-12-22T09:09:54Z
publishDate 2021-09-01
publisher Copernicus Publications
record_format Article
series Earth Surface Dynamics
spelling doaj.art-8774097d3fc54b98a64af98dddaf909a2022-12-21T18:31:29ZengCopernicus PublicationsEarth Surface Dynamics2196-63112196-632X2021-09-0191125115110.5194/esurf-9-1125-2021A temperature-dependent mechanical model to assess the stability of degrading permafrost rock slopesP. MamotS. WeberS. EppingerM. Krautblatter<p>Over the last 2 decades, permafrost degradation has been observed to be a major driver of enhanced rock slope instability and associated hazards in high mountains. While the thermal regime of permafrost degradation in high mountains has been addressed in several modelling approaches, no mechanical models that thoroughly explain rock slope destabilisation controls in degrading permafrost have been developed. Meanwhile, recent laboratory studies have shown that degrading permafrost affects both, rock and ice mechanical strength parameters as well as the strength of rock–ice interfaces. This study presents a first general approach for a temperature-dependent numerical stability model that simulates the mechanical response of a warming and thawing permafrost rock slope. The proposed procedure is exemplified using a rockslide at the permafrost-affected Zugspitze summit crest. Laboratory tests on frozen and unfrozen rock joint and intact rock properties provide material parameters for discontinuum models developed with the Universal Distinct Element Code (UDEC). Geophysical and geotechnical field surveys reveal information on permafrost distribution and the fracture network. This model can demonstrate how warming decreases rock slope stability to a critical level and why thawing initiates failure. A generalised sensitivity analysis of the model with a simplified geometry and warming trajectory below 0 <span class="inline-formula"><sup>∘</sup></span>C shows that progressive warming close to the melting point initiates instability above a critical slope angle of 50–62<span class="inline-formula"><sup>∘</sup></span>, depending on the orientation of the fracture network. The increase in displacements intensifies for warming steps closer to 0 <span class="inline-formula"><sup>∘</sup></span>C. The simplified and generalised model can be applied to permafrost rock slopes (i) which warm above <span class="inline-formula">−4</span> <span class="inline-formula"><sup>∘</sup></span>C, (ii) with ice-filled joints, (iii) with fractured limestone or probably most of the rock types relevant for permafrost rock slope failure, and (iv) with a wide range of slope angles (30–70<span class="inline-formula"><sup>∘</sup></span>) and orientations of the fracture network (consisting of three joint sets). Here, we present a benchmark model capable of assessing the future destabilisation of degrading permafrost rock slopes.</p>https://esurf.copernicus.org/articles/9/1125/2021/esurf-9-1125-2021.pdf
spellingShingle P. Mamot
S. Weber
S. Eppinger
M. Krautblatter
A temperature-dependent mechanical model to assess the stability of degrading permafrost rock slopes
Earth Surface Dynamics
title A temperature-dependent mechanical model to assess the stability of degrading permafrost rock slopes
title_full A temperature-dependent mechanical model to assess the stability of degrading permafrost rock slopes
title_fullStr A temperature-dependent mechanical model to assess the stability of degrading permafrost rock slopes
title_full_unstemmed A temperature-dependent mechanical model to assess the stability of degrading permafrost rock slopes
title_short A temperature-dependent mechanical model to assess the stability of degrading permafrost rock slopes
title_sort temperature dependent mechanical model to assess the stability of degrading permafrost rock slopes
url https://esurf.copernicus.org/articles/9/1125/2021/esurf-9-1125-2021.pdf
work_keys_str_mv AT pmamot atemperaturedependentmechanicalmodeltoassessthestabilityofdegradingpermafrostrockslopes
AT sweber atemperaturedependentmechanicalmodeltoassessthestabilityofdegradingpermafrostrockslopes
AT seppinger atemperaturedependentmechanicalmodeltoassessthestabilityofdegradingpermafrostrockslopes
AT mkrautblatter atemperaturedependentmechanicalmodeltoassessthestabilityofdegradingpermafrostrockslopes
AT pmamot temperaturedependentmechanicalmodeltoassessthestabilityofdegradingpermafrostrockslopes
AT sweber temperaturedependentmechanicalmodeltoassessthestabilityofdegradingpermafrostrockslopes
AT seppinger temperaturedependentmechanicalmodeltoassessthestabilityofdegradingpermafrostrockslopes
AT mkrautblatter temperaturedependentmechanicalmodeltoassessthestabilityofdegradingpermafrostrockslopes