Mathematical Modeling of Rock Glacier Flow with Temperature Effects
This paper stems from the interest in the numerical study of the evolution of Boulder Clay Glacier in Antarctica, whose morphological characteristics have required the revision of the basis for most of the recent mathematical models for glacier dynamics. Bearing in mind the need to minimize the comp...
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ftingv:oai:www.earth-prints.org:2122/16688 2024-02-11T09:56:26+01:00 Mathematical Modeling of Rock Glacier Flow with Temperature Effects Kannan, Krishna Mansutti, Daniela Rajagopal, Kumbakonam Urbini, Stefano #PLACEHOLDER_PARENT_METADATA_VALUE# Istituto Nazionale di Geofisica e Vulcanologia (INGV), Sezione Roma2, Roma, Italia 2020 http://hdl.handle.net/2122/16688 https://doi.org/10.1007/978-3-030-38669-6_4 en eng SPRINGER Mathematical Approach to Climate Change and its Impacts 978-3-030-38668-9 http://hdl.handle.net/2122/16688 https://doi.org/10.1007/978-3-030-38669-6_4 restricted Moraine Rock fragments Ice flow 02.02. Glaciers book chapter 2020 ftingv https://doi.org/10.1007/978-3-030-38669-6_4 2024-01-16T23:26:25Z This paper stems from the interest in the numerical study of the evolution of Boulder Clay Glacier in Antarctica, whose morphological characteristics have required the revision of the basis for most of the recent mathematical models for glacier dynamics. Bearing in mind the need to minimize the complexity of the mathematical model, we have selected the constitutive equation of rock glacier ice recently presented by two of the authors. Here, this model is extended in order to include temperature effects. In addition to the effects of climate change, it is also necessary to take into consideration the non-negligible level of melting due to temperature changes induced by normal stresses arising from the interactions of ice and the rock fragments that are within the rock glacier. In fact, local phase transition that occurs leading to the release of water implies significant modifications of ice viscosity, the main intrinsic factor driving the flow. In this paper we derive the model that describes the flow of rock glaciers that takes into consideration the effects of temperature and the normal stresses generated by the ice and rock fragments interactions. Published 149-161 OSA2: Evoluzione climatica: effetti e loro mitigazione Book Part Antarc* Antarctica Earth-Prints (Istituto Nazionale di Geofisica e Vulcanologia) 149 161 |
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Earth-Prints (Istituto Nazionale di Geofisica e Vulcanologia) |
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language |
English |
topic |
Moraine Rock fragments Ice flow 02.02. Glaciers |
spellingShingle |
Moraine Rock fragments Ice flow 02.02. Glaciers Kannan, Krishna Mansutti, Daniela Rajagopal, Kumbakonam Urbini, Stefano Mathematical Modeling of Rock Glacier Flow with Temperature Effects |
topic_facet |
Moraine Rock fragments Ice flow 02.02. Glaciers |
description |
This paper stems from the interest in the numerical study of the evolution of Boulder Clay Glacier in Antarctica, whose morphological characteristics have required the revision of the basis for most of the recent mathematical models for glacier dynamics. Bearing in mind the need to minimize the complexity of the mathematical model, we have selected the constitutive equation of rock glacier ice recently presented by two of the authors. Here, this model is extended in order to include temperature effects. In addition to the effects of climate change, it is also necessary to take into consideration the non-negligible level of melting due to temperature changes induced by normal stresses arising from the interactions of ice and the rock fragments that are within the rock glacier. In fact, local phase transition that occurs leading to the release of water implies significant modifications of ice viscosity, the main intrinsic factor driving the flow. In this paper we derive the model that describes the flow of rock glaciers that takes into consideration the effects of temperature and the normal stresses generated by the ice and rock fragments interactions. Published 149-161 OSA2: Evoluzione climatica: effetti e loro mitigazione |
author2 |
#PLACEHOLDER_PARENT_METADATA_VALUE# Istituto Nazionale di Geofisica e Vulcanologia (INGV), Sezione Roma2, Roma, Italia |
format |
Book Part |
author |
Kannan, Krishna Mansutti, Daniela Rajagopal, Kumbakonam Urbini, Stefano |
author_facet |
Kannan, Krishna Mansutti, Daniela Rajagopal, Kumbakonam Urbini, Stefano |
author_sort |
Kannan, Krishna |
title |
Mathematical Modeling of Rock Glacier Flow with Temperature Effects |
title_short |
Mathematical Modeling of Rock Glacier Flow with Temperature Effects |
title_full |
Mathematical Modeling of Rock Glacier Flow with Temperature Effects |
title_fullStr |
Mathematical Modeling of Rock Glacier Flow with Temperature Effects |
title_full_unstemmed |
Mathematical Modeling of Rock Glacier Flow with Temperature Effects |
title_sort |
mathematical modeling of rock glacier flow with temperature effects |
publisher |
SPRINGER |
publishDate |
2020 |
url |
http://hdl.handle.net/2122/16688 https://doi.org/10.1007/978-3-030-38669-6_4 |
genre |
Antarc* Antarctica |
genre_facet |
Antarc* Antarctica |
op_relation |
Mathematical Approach to Climate Change and its Impacts 978-3-030-38668-9 http://hdl.handle.net/2122/16688 https://doi.org/10.1007/978-3-030-38669-6_4 |
op_rights |
restricted |
op_doi |
https://doi.org/10.1007/978-3-030-38669-6_4 |
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149 |
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161 |
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1790603120534880256 |