Articles | Volume 16, issue 4
https://doi.org/10.5194/tc-16-1247-2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/tc-16-1247-2022
© Author(s) 2022. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
08 Apr 2022
Research article |
| 08 Apr 2022
| 08 Apr 2022
A new Stefan equation to characterize the evolution of thermokarst lake and talik geometry
Department of Civil and Architectural Engineering, University of
Wyoming, Laramie, WY 82071, USA
Benjamin M. Jones
Institute of Northern Engineering, University of Alaska Fairbanks,
Fairbanks, Alaska 99775, USA
Andrew D. Parsekian
Department of Geology and Geophysics, University of Wyoming, Laramie,
WY 82071, USA
Department of Civil and Architectural Engineering, University of
Wyoming, Laramie, WY 82071, USA
Kenneth M. Hinkel
Department of Geological and Mining Engineering and Sciences, Michigan
Technological University, Houghton, MI 49931, USA
Katsu Yamatani
Department of Urban Science, Meijo University, 4-102-9 Yadaminami,
Higashi, Nagoya 461-8534, Japan
Mikhail Kanevskiy
Institute of Northern Engineering, University of Alaska Fairbanks,
Fairbanks, Alaska 99775, USA
Rodrigo C. Rangel
Department of Geology and Geophysics, University of Wyoming, Laramie,
WY 82071, USA
Amy L. Breen
International Arctic Research Center, University of Alaska Fairbanks,
Fairbanks, Alaska, USA
Helena Bergstedt
Institute of Northern Engineering, University of Alaska Fairbanks,
Fairbanks, Alaska 99775, USA
b.geos, Vienna, Austria
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9 citations as recorded by crossref.
- The evolution of Arctic permafrost over the last 3 centuries from ensemble simulations with the CryoGridLite permafrost model M. Langer et al. 10.5194/tc-18-363-2024
- The decline of permafrost after the Last Glaciation—Relicts of Thermokarst Lakes in Northern Poland M. Kramkowski et al. 10.1002/jqs.70013
- GIS analysis of lake and basin orientation, Yana–Indigirka Lowland, northeast Siberia F. McSorley-Morgan et al. 10.1016/j.geomorph.2024.109108
- Three-Dimensional Numerical Modeling of Ground Ice Ablation in a Retrogressive Thaw Slump and Its Hydrological Ecosystem Response on the Qinghai-Tibet Plateau, China F. Niu et al. 10.1007/s13753-023-00503-z
- Investigating the seepage-thermal interaction process on the thermal stability of highway embankments in permafrost regions adjacent to thermokarst lakes B. Hu et al. 10.1016/j.trgeo.2025.101608
- Wind‐driven hydrodynamic and depositional patterns in shallow lakes: An exploratory modelling approach based on an archetypal case of Lake Hulun X. Xue et al. 10.1111/sed.13265
- Investigating effects of thermokarst lakes on permafrost under equilibrium conditions H. Brisebois et al. 10.1016/j.scitotenv.2024.177921
- A Review of Abrupt Permafrost Thaw: Definitions, Usage, and a Proposed Conceptual Framework H. Webb et al. 10.1007/s40641-025-00204-3
- Littoral landforms of Lake Hulun and Lake Buir (China and Mongolia): Wind-driven hydro-sedimentary dynamics and resulting clastics distribution L. Wang et al. 10.1016/j.jop.2024.03.002
1 citations as recorded by crossref.
Latest update: 14 Sep 2025
Short summary
New variational principle suggests that a semi-ellipsoid talik shape (3D Stefan equation) is optimum for incoming energy. However, the lake bathymetry tends to be less ellipsoidal due to the ice-rich layers near the surface. Wind wave erosion is likely responsible for the elongation of lakes, while thaw subsidence slows the wave effect and stabilizes the thermokarst lakes. The derived 3D Stefan equation was compared to the field-observed talik thickness data using geophysical methods.
New variational principle suggests that a semi-ellipsoid talik shape (3D Stefan equation) is...
