A robust and energy-conserving model of freezing variably-saturated soil
Phenomena involving frozen soil or rock are important in many natural systems and, as a consequence, there is a great interest in the modeling of their behavior. Few models exist that describe this process for both saturated and unsaturated soil and in conditions of freezing and thawing, as the ener...
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ftdoajarticles:oai:doaj.org/article:d5a33c1be4ec4bfb87b0793dd7460eba 2023-05-15T18:32:30+02:00 A robust and energy-conserving model of freezing variably-saturated soil M. Dall'Amico S. Endrizzi S. Gruber R. Rigon 2011-06-01T00:00:00Z https://doi.org/10.5194/tc-5-469-2011 https://doaj.org/article/d5a33c1be4ec4bfb87b0793dd7460eba EN eng Copernicus Publications http://www.the-cryosphere.net/5/469/2011/tc-5-469-2011.pdf https://doaj.org/toc/1994-0416 https://doaj.org/toc/1994-0424 doi:10.5194/tc-5-469-2011 1994-0416 1994-0424 https://doaj.org/article/d5a33c1be4ec4bfb87b0793dd7460eba The Cryosphere, Vol 5, Iss 2, Pp 469-484 (2011) Environmental sciences GE1-350 Geology QE1-996.5 article 2011 ftdoajarticles https://doi.org/10.5194/tc-5-469-2011 2022-12-31T09:59:42Z Phenomena involving frozen soil or rock are important in many natural systems and, as a consequence, there is a great interest in the modeling of their behavior. Few models exist that describe this process for both saturated and unsaturated soil and in conditions of freezing and thawing, as the energy equation shows strongly non-linear characteristics and is often difficult to handle with normal methods of iterative integration. Therefore in this paper we propose a method for solving the energy equation in freezing soil. The solver is linked with the solution of Richards equation, and is able to approximate water movement in unsaturated soils and near the liquid-solid phase transition. A globally-convergent Newton method has been implemented to achieve robust convergence of this scheme. The method is tested by comparison with an analytical solution to the Stefan problem and by comparison with experimental data derived from the literature. Article in Journal/Newspaper The Cryosphere Directory of Open Access Journals: DOAJ Articles The Cryosphere 5 2 469 484 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
Environmental sciences GE1-350 Geology QE1-996.5 |
spellingShingle |
Environmental sciences GE1-350 Geology QE1-996.5 M. Dall'Amico S. Endrizzi S. Gruber R. Rigon A robust and energy-conserving model of freezing variably-saturated soil |
topic_facet |
Environmental sciences GE1-350 Geology QE1-996.5 |
description |
Phenomena involving frozen soil or rock are important in many natural systems and, as a consequence, there is a great interest in the modeling of their behavior. Few models exist that describe this process for both saturated and unsaturated soil and in conditions of freezing and thawing, as the energy equation shows strongly non-linear characteristics and is often difficult to handle with normal methods of iterative integration. Therefore in this paper we propose a method for solving the energy equation in freezing soil. The solver is linked with the solution of Richards equation, and is able to approximate water movement in unsaturated soils and near the liquid-solid phase transition. A globally-convergent Newton method has been implemented to achieve robust convergence of this scheme. The method is tested by comparison with an analytical solution to the Stefan problem and by comparison with experimental data derived from the literature. |
format |
Article in Journal/Newspaper |
author |
M. Dall'Amico S. Endrizzi S. Gruber R. Rigon |
author_facet |
M. Dall'Amico S. Endrizzi S. Gruber R. Rigon |
author_sort |
M. Dall'Amico |
title |
A robust and energy-conserving model of freezing variably-saturated soil |
title_short |
A robust and energy-conserving model of freezing variably-saturated soil |
title_full |
A robust and energy-conserving model of freezing variably-saturated soil |
title_fullStr |
A robust and energy-conserving model of freezing variably-saturated soil |
title_full_unstemmed |
A robust and energy-conserving model of freezing variably-saturated soil |
title_sort |
robust and energy-conserving model of freezing variably-saturated soil |
publisher |
Copernicus Publications |
publishDate |
2011 |
url |
https://doi.org/10.5194/tc-5-469-2011 https://doaj.org/article/d5a33c1be4ec4bfb87b0793dd7460eba |
genre |
The Cryosphere |
genre_facet |
The Cryosphere |
op_source |
The Cryosphere, Vol 5, Iss 2, Pp 469-484 (2011) |
op_relation |
http://www.the-cryosphere.net/5/469/2011/tc-5-469-2011.pdf https://doaj.org/toc/1994-0416 https://doaj.org/toc/1994-0424 doi:10.5194/tc-5-469-2011 1994-0416 1994-0424 https://doaj.org/article/d5a33c1be4ec4bfb87b0793dd7460eba |
op_doi |
https://doi.org/10.5194/tc-5-469-2011 |
container_title |
The Cryosphere |
container_volume |
5 |
container_issue |
2 |
container_start_page |
469 |
op_container_end_page |
484 |
_version_ |
1766216620582109184 |