Discussion of ‘A Simple Thaw‐Freeze Algorithm for a Multi‐Layered Soil using the Stefan Equation’ by Xie and Gough (2013)
Abstract Xie and Gough (2013) developed an algorithm to expand the application of the well‐known Stefan equation in order to predict the freeze or thaw depth in multi‐layered soils. This discussion paper demonstrates that the development of this algorithm is premised on mathematical expressions that...
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crwiley:10.1002/ppp.1834 2024-06-23T07:44:56+00:00 Discussion of ‘A Simple Thaw‐Freeze Algorithm for a Multi‐Layered Soil using the Stefan Equation’ by Xie and Gough (2013) Kurylyk, Barret L. Natural Sciences and Engineering Research Council of Canada The Killam Trusts 2015 http://dx.doi.org/10.1002/ppp.1834 https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fppp.1834 https://onlinelibrary.wiley.com/doi/pdf/10.1002/ppp.1834 en eng Wiley http://onlinelibrary.wiley.com/termsAndConditions#vor Permafrost and Periglacial Processes volume 26, issue 2, page 200-206 ISSN 1045-6740 1099-1530 journal-article 2015 crwiley https://doi.org/10.1002/ppp.1834 2024-06-13T04:20:03Z Abstract Xie and Gough (2013) developed an algorithm to expand the application of the well‐known Stefan equation in order to predict the freeze or thaw depth in multi‐layered soils. This discussion paper demonstrates that the development of this algorithm is premised on mathematical expressions that are not physically tenable. A previously proposed equation for applying the Stefan approach to multi‐layered soils is herein derived from first principles using the appropriate governing equations, boundary conditions and initial conditions. Numerical methods are employed to demonstrate the accuracy of this equation derived from first principles. This approach can be implemented in existing cold regions hydrology models to estimate the active layer thickness in permafrost regions underlain by layered soils. Copyright © 2015 John Wiley & Sons, Ltd. Article in Journal/Newspaper Active layer thickness permafrost Permafrost and Periglacial Processes Wiley Online Library Gough ENVELOPE(159.367,159.367,-81.633,-81.633) Permafrost and Periglacial Processes 26 2 200 206 |
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Wiley Online Library |
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English |
description |
Abstract Xie and Gough (2013) developed an algorithm to expand the application of the well‐known Stefan equation in order to predict the freeze or thaw depth in multi‐layered soils. This discussion paper demonstrates that the development of this algorithm is premised on mathematical expressions that are not physically tenable. A previously proposed equation for applying the Stefan approach to multi‐layered soils is herein derived from first principles using the appropriate governing equations, boundary conditions and initial conditions. Numerical methods are employed to demonstrate the accuracy of this equation derived from first principles. This approach can be implemented in existing cold regions hydrology models to estimate the active layer thickness in permafrost regions underlain by layered soils. Copyright © 2015 John Wiley & Sons, Ltd. |
author2 |
Natural Sciences and Engineering Research Council of Canada The Killam Trusts |
format |
Article in Journal/Newspaper |
author |
Kurylyk, Barret L. |
spellingShingle |
Kurylyk, Barret L. Discussion of ‘A Simple Thaw‐Freeze Algorithm for a Multi‐Layered Soil using the Stefan Equation’ by Xie and Gough (2013) |
author_facet |
Kurylyk, Barret L. |
author_sort |
Kurylyk, Barret L. |
title |
Discussion of ‘A Simple Thaw‐Freeze Algorithm for a Multi‐Layered Soil using the Stefan Equation’ by Xie and Gough (2013) |
title_short |
Discussion of ‘A Simple Thaw‐Freeze Algorithm for a Multi‐Layered Soil using the Stefan Equation’ by Xie and Gough (2013) |
title_full |
Discussion of ‘A Simple Thaw‐Freeze Algorithm for a Multi‐Layered Soil using the Stefan Equation’ by Xie and Gough (2013) |
title_fullStr |
Discussion of ‘A Simple Thaw‐Freeze Algorithm for a Multi‐Layered Soil using the Stefan Equation’ by Xie and Gough (2013) |
title_full_unstemmed |
Discussion of ‘A Simple Thaw‐Freeze Algorithm for a Multi‐Layered Soil using the Stefan Equation’ by Xie and Gough (2013) |
title_sort |
discussion of ‘a simple thaw‐freeze algorithm for a multi‐layered soil using the stefan equation’ by xie and gough (2013) |
publisher |
Wiley |
publishDate |
2015 |
url |
http://dx.doi.org/10.1002/ppp.1834 https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Fppp.1834 https://onlinelibrary.wiley.com/doi/pdf/10.1002/ppp.1834 |
long_lat |
ENVELOPE(159.367,159.367,-81.633,-81.633) |
geographic |
Gough |
geographic_facet |
Gough |
genre |
Active layer thickness permafrost Permafrost and Periglacial Processes |
genre_facet |
Active layer thickness permafrost Permafrost and Periglacial Processes |
op_source |
Permafrost and Periglacial Processes volume 26, issue 2, page 200-206 ISSN 1045-6740 1099-1530 |
op_rights |
http://onlinelibrary.wiley.com/termsAndConditions#vor |
op_doi |
https://doi.org/10.1002/ppp.1834 |
container_title |
Permafrost and Periglacial Processes |
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26 |
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2 |
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200 |
op_container_end_page |
206 |
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1802641589581905920 |