首页|Comments on thaw-freeze algorithms for multilayered soil,using the Stefan equation

Comments on thaw-freeze algorithms for multilayered soil,using the Stefan equation

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The Stefan equation provides a useful and widely used method for predicting the depth of thawing and freezing in a soil where little site-specific information is available. The original Stefan equation was derived for only a homogeneous medi-um, and some algorithms have been developed for its use in a multilayered system. However, although the Stefan equation was derived more than 100 years ago, there is not a unified understanding for its use in a multilayered system. This paper examines the use of the Stefan equation in multilayered soil, based on comparing three algorithms (JL-algorithm, NM-al-gorithm, and XG-algorithm). We conclude that the JL and NM algorithms are incorrect, as they arose from flawed math-ematical derivations. Both of these algorithms failed to recognize that the thawing depth in a multilayered soil is a piece-wise function and not a continuous function of time. This work asserts that the XG-algorithm is a correct and rigorous method to determine the freezing–thawing fronts in multilayered soil.

Stefan equationalgorithmsthaw depthmultilayered soil

ChangWei Xie、William A. Gough

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Cryosphere Research Station on the Qinghai–Tibet Plateau, State Key Laboratory of Cryospheric Sciences, Northwest Institute of Eco-Environment and Resources, Chinese Academy of Sciences, Lanzhou, Gansu 730000, China

Department of Physical and Environmental Sciences, University of Toronto at Scarborough, 1265 Military Trail, Toronto, Ontario, Canada

This work was supported by grants from the National Natural Science Foundation of ChinaThis work was supported by grants from the National Natural Science Foundation of ChinaThis work was supported by grants from the National Natural Science Foundation of ChinaThis work was supported by grants from the National Natural Science Foundation of ChinaState Key Laboratory of Cryospheric SciencesHundred Talents Program of the Chinese Academy of Sciences granted to ChangWei Xie

416710684142106141771040SKLCS-ZZ-201751Y551831

2017

寒旱区科学(英文版)
中国科学院寒区旱区环境与工程研究所,科学出版社有限责任公司

寒旱区科学(英文版)

CSCD
影响因子：0.237
ISSN：1674-3822
年,卷(期)：2017.9(6)
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