Analytical and numerical mathematical models for the study of geothermal variations caused by environmental temperature variability during Holocene
A large number of geological phenomena may be linked to anomalies of the local underground thermal gradient. The appearance of permafrost levels, the karstification with a predominant horizontal growth and travertine deposition in limestones at specific geological times may be just a few consequence...
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ftunivromaojs2:oai:rosa.uniroma1.it:article/805 2024-09-15T18:29:44+00:00 Analytical and numerical mathematical models for the study of geothermal variations caused by environmental temperature variability during Holocene Pasculli, Antonio Sciarra, Nicola Signanini, Patrizio Torrese, Patrizio 2007-06-30 application/pdf https://rosa.uniroma1.it/rosa02/engineering_geology_environment/article/view/805 eng eng Sapienza Università Editrice https://rosa.uniroma1.it/rosa02/engineering_geology_environment/article/view/805/676 https://rosa.uniroma1.it/rosa02/engineering_geology_environment/article/view/805 Copyright (c) 2007 Italian journal of engineering geology and environment https://creativecommons.org/licenses/by-nc-sa/4.0 Italian journal of engineering geology and environment; No. 1 (2007); 5-18 2035-5688 1825-6635 geothermic anomalies temperature oscillations analytic math- ematic model numerical finite element model info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed article 2007 ftunivromaojs2 2024-09-04T03:02:10Z A large number of geological phenomena may be linked to anomalies of the local underground thermal gradient. The appearance of permafrost levels, the karstification with a predominant horizontal growth and travertine deposition in limestones at specific geological times may be just a few consequences of geothermal anomalies. One of the causes of the anomalies can be attributed to the past variations of the temperatures. Various proposed numerical models (for example DAHL-JENSEN et alii, 1998; PASCULLI & SCIARRA, 2005), would demonstrate the feasibility of the occurrence of local geothermal gradient inversion due to the environmental temperature variations. Thus the target of this paper was essentially to discuss, furthermore, the mathematical feasibility of inversion and its peculiarity in space and in time, not only by means of the elaboration and the solution of a finite element numerical model, but by means of an analytical mathematical model as well. This was applied to simplified geological systems, in areas characterized by low gradient values, in which it is possible to exclude the formation of permafrost also in the past. The permafrost is a system with remarkable “thermal inertia” which, consequently, causes a delay and a lowering of the “answer” to the external temperature variations. This characteristic implies that surface thermal oscillations cannot be strictly correlated with temperature profile below thick permafrost layer. As a consequence the reversals of the geothermal gradient occurrence would have been enhanced. Moreover the exclusion of the permafrost, beyond simplifying the elaboration of the analytical calculation, allows the study of the feasibility of reversals also in warmer areas and, therefore, less prone from this point of view. Furthermore, it is noteworthy to point out that, as it’s well known, an analytical approach, if possible, allows to obtain indications and informations more general than those that can be obtained from typically numerical results. Indeed, numerical ones ... Article in Journal/Newspaper permafrost Riviste Online SApienza - R.O.SA - 2 (Sapienza University of Rome) |
institution |
Open Polar |
collection |
Riviste Online SApienza - R.O.SA - 2 (Sapienza University of Rome) |
op_collection_id |
ftunivromaojs2 |
language |
English |
topic |
geothermic anomalies temperature oscillations analytic math- ematic model numerical finite element model |
spellingShingle |
geothermic anomalies temperature oscillations analytic math- ematic model numerical finite element model Pasculli, Antonio Sciarra, Nicola Signanini, Patrizio Torrese, Patrizio Analytical and numerical mathematical models for the study of geothermal variations caused by environmental temperature variability during Holocene |
topic_facet |
geothermic anomalies temperature oscillations analytic math- ematic model numerical finite element model |
description |
A large number of geological phenomena may be linked to anomalies of the local underground thermal gradient. The appearance of permafrost levels, the karstification with a predominant horizontal growth and travertine deposition in limestones at specific geological times may be just a few consequences of geothermal anomalies. One of the causes of the anomalies can be attributed to the past variations of the temperatures. Various proposed numerical models (for example DAHL-JENSEN et alii, 1998; PASCULLI & SCIARRA, 2005), would demonstrate the feasibility of the occurrence of local geothermal gradient inversion due to the environmental temperature variations. Thus the target of this paper was essentially to discuss, furthermore, the mathematical feasibility of inversion and its peculiarity in space and in time, not only by means of the elaboration and the solution of a finite element numerical model, but by means of an analytical mathematical model as well. This was applied to simplified geological systems, in areas characterized by low gradient values, in which it is possible to exclude the formation of permafrost also in the past. The permafrost is a system with remarkable “thermal inertia” which, consequently, causes a delay and a lowering of the “answer” to the external temperature variations. This characteristic implies that surface thermal oscillations cannot be strictly correlated with temperature profile below thick permafrost layer. As a consequence the reversals of the geothermal gradient occurrence would have been enhanced. Moreover the exclusion of the permafrost, beyond simplifying the elaboration of the analytical calculation, allows the study of the feasibility of reversals also in warmer areas and, therefore, less prone from this point of view. Furthermore, it is noteworthy to point out that, as it’s well known, an analytical approach, if possible, allows to obtain indications and informations more general than those that can be obtained from typically numerical results. Indeed, numerical ones ... |
format |
Article in Journal/Newspaper |
author |
Pasculli, Antonio Sciarra, Nicola Signanini, Patrizio Torrese, Patrizio |
author_facet |
Pasculli, Antonio Sciarra, Nicola Signanini, Patrizio Torrese, Patrizio |
author_sort |
Pasculli, Antonio |
title |
Analytical and numerical mathematical models for the study of geothermal variations caused by environmental temperature variability during Holocene |
title_short |
Analytical and numerical mathematical models for the study of geothermal variations caused by environmental temperature variability during Holocene |
title_full |
Analytical and numerical mathematical models for the study of geothermal variations caused by environmental temperature variability during Holocene |
title_fullStr |
Analytical and numerical mathematical models for the study of geothermal variations caused by environmental temperature variability during Holocene |
title_full_unstemmed |
Analytical and numerical mathematical models for the study of geothermal variations caused by environmental temperature variability during Holocene |
title_sort |
analytical and numerical mathematical models for the study of geothermal variations caused by environmental temperature variability during holocene |
publisher |
Sapienza Università Editrice |
publishDate |
2007 |
url |
https://rosa.uniroma1.it/rosa02/engineering_geology_environment/article/view/805 |
genre |
permafrost |
genre_facet |
permafrost |
op_source |
Italian journal of engineering geology and environment; No. 1 (2007); 5-18 2035-5688 1825-6635 |
op_relation |
https://rosa.uniroma1.it/rosa02/engineering_geology_environment/article/view/805/676 https://rosa.uniroma1.it/rosa02/engineering_geology_environment/article/view/805 |
op_rights |
Copyright (c) 2007 Italian journal of engineering geology and environment https://creativecommons.org/licenses/by-nc-sa/4.0 |
_version_ |
1810471166262902784 |