Articles | Volume 16, issue 4
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, Benjamin M. Jones, Andrew D. Parsekian, Kenneth M. Hinkel, Katsu Yamatani, Mikhail Kanevskiy, Rodrigo C. Rangel, Amy L. Breen, and Helena Bergstedt


Total article views: 1,438 (including HTML, PDF, and XML)
HTML PDF XML Total BibTeX EndNote
1,063 349 26 1,438 21 20
  • HTML: 1,063
  • PDF: 349
  • XML: 26
  • Total: 1,438
  • BibTeX: 21
  • EndNote: 20
Views and downloads (calculated since 30 Aug 2021)
Cumulative views and downloads (calculated since 30 Aug 2021)

Viewed (geographical distribution)

Total article views: 1,438 (including HTML, PDF, and XML) Thereof 1,377 with geography defined and 61 with unknown origin.
Country # Views %
  • 1
Latest update: 20 Mar 2023
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.