IDEAS home Printed from https://ideas.repec.org/a/gam/jlands/v11y2022i10p1770-d940076.html
   My bibliography  Save this article

Modeling Heat Transfer through Permafrost Soil Subjected to Seasonal Freeze-Thaw

Author

Listed:
  • Alain Lubini Tshumuka

    (Department of Civil, Geological and Mining Engineering, Polytechnique Montréal, Montréal, QC H3T 1J4, Canada)

  • Abdelkader Krimi

    (Department of Civil, Geological and Mining Engineering, Polytechnique Montréal, Montréal, QC H3T 1J4, Canada)

  • Musandji Fuamba

    (Department of Civil, Geological and Mining Engineering, Polytechnique Montréal, Montréal, QC H3T 1J4, Canada)

Abstract

The present paper proposes an iterative implicit numerical method for simulating the thaw depth of permafrost soil. For this purpose, the enthalpy-porosity model was used for the phase change process, and the finite difference scheme FTCS (Forward Time Centered Space) was used for discretization. An artificial mushy zone was maintained with the same thickness by keeping the regularization parameter proportional to the temperature gradient. In doing so, we made the scheme more stable and convergence occurred faster. The model accuracy was validated by comparing the numerical results with the analytical Stefan solution and with the results of a derived numerical model, based on an explicit scheme. The model performance was also tested against observation data collected on four different landscapes with different soil profiles and located on a basin underlain by continuous permafrost. It was found that the proposed model matched noticeably well the analytical solution for a volumetric liquid fraction (phi) equal to 0.5 regardless of the grid resolution. Furthermore, compared with the observation data, the model reproduced the annual maximum thaw depth with an absolute error lying between 0.7 and 7.7%. In addition, the designed algorithm allowed the model to converge after a maximum of eight iterations, reducing the computational time by around 75% compared to the explicit model. The results were so encouraging that the model can be included in a hydrological modeling of permafrost watersheds or cold regions in general.

Suggested Citation

  • Alain Lubini Tshumuka & Abdelkader Krimi & Musandji Fuamba, 2022. "Modeling Heat Transfer through Permafrost Soil Subjected to Seasonal Freeze-Thaw," Land, MDPI, vol. 11(10), pages 1-19, October.
    • Handle: RePEc:gam:jlands:v:11:y:2022:i:10:p:1770-:d:940076
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2073-445X/11/10/1770/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2073-445X/11/10/1770/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Liudmila Lebedeva & Olga Semenova & Tatyana Vinogradova, 2014. "Simulation of Active Layer Dynamics, Upper Kolyma, Russia, using the Hydrograph Hydrological Model," Permafrost and Periglacial Processes, John Wiley & Sons, vol. 25(4), pages 270-280, October.
    2. Xie Changwei & William A. Gough, 2013. "A Simple Thaw‐Freeze Algorithm for a Multi‐Layered Soil using the Stefan Equation," Permafrost and Periglacial Processes, John Wiley & Sons, vol. 24(3), pages 252-260, July.
    3. Daniel Riseborough & Nikolay Shiklomanov & Bernd Etzelmüller & Stephan Gruber & Sergei Marchenko, 2008. "Recent advances in permafrost modelling," Permafrost and Periglacial Processes, John Wiley & Sons, vol. 19(2), pages 137-156, April.
    4. Olga Semenova & Yury Vinogradov & Tatyana Vinogradova & Luidmila Lebedeva, 2014. "Simulation of Soil Profile Heat Dynamics and their Integration into Hydrologic Modelling in a Permafrost Zone," Permafrost and Periglacial Processes, John Wiley & Sons, vol. 25(4), pages 257-269, October.
    5. S.L. Smith & V.E. Romanovsky & A.G. Lewkowicz & C.R. Burn & M. Allard & G.D. Clow & K. Yoshikawa & J. Throop, 2010. "Thermal state of permafrost in North America: a contribution to the international polar year," Permafrost and Periglacial Processes, John Wiley & Sons, vol. 21(2), pages 117-135, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Madeleine C. Garibaldi & Philip P. Bonnaventure & Scott F. Lamoureux, 2021. "Utilizing the TTOP model to understand spatial permafrost temperature variability in a High Arctic landscape, Cape Bounty, Nunavut, Canada," Permafrost and Periglacial Processes, John Wiley & Sons, vol. 32(1), pages 19-34, January.
    2. Julia Bosiö & Margareta Johansson & Terry Callaghan & Bernt Johansen & Torben Christensen, 2012. "Future vegetation changes in thawing subarctic mires and implications for greenhouse gas exchange—a regional assessment," Climatic Change, Springer, vol. 115(2), pages 379-398, November.
    3. Christian Huggel & Dáithí Stone & Hajo Eicken & Gerrit Hansen, 2015. "Potential and limitations of the attribution of climate change impacts for informing loss and damage discussions and policies," Climatic Change, Springer, vol. 133(3), pages 453-467, December.
    4. Suzanne E. Tank & Jorien E. Vonk & Michelle A. Walvoord & James W. McClelland & Isabelle Laurion & Benjamin W. Abbott, 2020. "Landscape matters: Predicting the biogeochemical effects of permafrost thaw on aquatic networks with a state factor approach," Permafrost and Periglacial Processes, John Wiley & Sons, vol. 31(3), pages 358-370, July.
    5. Jason R. Paul & Steven V. Kokelj & Jennifer L. Baltzer, 2021. "Spatial and stratigraphic variation of near‐surface ground ice in discontinuous permafrost of the taiga shield," Permafrost and Periglacial Processes, John Wiley & Sons, vol. 32(1), pages 3-18, January.
    6. Miao Yu & Nadezhda Pavlova & Changlei Dai & Xianfeng Guo & Xiaohong Zhang & Shuai Gao & Yiru Wei, 2023. "Simulation and Analysis of the Dynamic Characteristics of Groundwater in Taliks in the Eruu Area, Central Yakutia," Sustainability, MDPI, vol. 15(12), pages 1-17, June.
    7. Yanyu Zhang & Shuying Zang & Miao Li & Xiangjin Shen & Yue Lin, 2021. "Spatial Distribution of Permafrost in the Xing’an Mountains of Northeast China from 2001 to 2018," Land, MDPI, vol. 10(11), pages 1-13, October.
    8. Pavel Konstantinov & Nikolai Basharin & Alexander Fedorov & Yoshihiro Iijima & Varvara Andreeva & Valerii Semenov & Nikolai Vasiliev, 2022. "Impact of Climate Change on the Ground Thermal Regime in the Lower Lena Region, Arctic Central Siberia," Land, MDPI, vol. 12(1), pages 1-13, December.
    9. Yifan Wu & Guojie Hu & Lin Zhao & Defu Zou & Xiaofan Zhu & Yao Xiao & Tonghua Wu & Xiaodong Wu & Youqi Su & Rui Zhang, 2024. "Assessment of Soil Temperature and Its Change Trends in the Permafrost Regions of the Northern Hemisphere," Land, MDPI, vol. 13(7), pages 1-14, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jlands:v:11:y:2022:i:10:p:1770-:d:940076. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.