Articles | Volume 16, issue 4
The Cryosphere, 16, 1247–1264, 2022
https://doi.org/10.5194/tc-16-1247-2022
The Cryosphere, 16, 1247–1264, 2022
https://doi.org/10.5194/tc-16-1247-2022
Research article
08 Apr 2022
Research article | 08 Apr 2022

A new Stefan equation to characterize the evolution of thermokarst lake and talik geometry

Noriaki Ohara et al.

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Revised manuscript not accepted

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Cited articles

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Arp, C. D., Jones, B. M., Urban, F. E., and Grosse, G.: Hydrogeomorphic processes of thermokarst lakes with grounded-ice and floating-ice regimes on the Arctic coastal plain, Alaska, Hydrol. Process., 25, 2422–2438, 2011. 
Arp, C. D., Whitman, M. S., Jones, B. M., Kemnitz, R., Grosse, G., and Urban, F. E.: Drainage network structure and hydrologic behavior of three lake-rich watersheds on the Arctic Coastal Plain, Alaska, Arct. Antarct. Alp. Res., 44, 385–398, 2012. 
Arp, C. D., Jones, B. M., Liljedahl, A. K., Hinkel, K. M., and Welker, J. A.: Depth, ice thickness, and ice-out timing cause divergent hydrologic responses among Arctic lakes, Water Resour. Res., 51, 9379–9401, 2015. 
Arp, C. D., Jones, B. M., Grosse, G., Bondurant, A. C., Romanovsky, V. E., Hinkel, K. M., and Parsekian, A. D.: Threshold sensitivity of shallow Arctic lakes and sublake permafrost to changing winter climate, Geophys. Res. Lett., 43, 6358–6365, 2016. 
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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.