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On the Influence of Relief on Thermoelastic Deformations and Slopes in the Upper Layer of the Earth’s Crust
- Authors: Tsurkis I.Y.1, Fedotova E.D.1
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Affiliations:
- Schmidt Institute of Physics of the Earth, Russian Academy of Sciences
- Issue: No 5 (2025)
- Pages: 56-76
- Section: Articles
- URL: https://ogarev-online.ru/0002-3337/article/view/365725
- DOI: https://doi.org/10.7868/S3034645225050042
- ID: 365725
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Abstract
A two-dimensional thermoelasticity problem for a half-plane with a periodic relief is considered: on the relief line, the temperature changes in time according to the harmonic law with a period of 1 year. The results obtained earlier by the authors for the temperature field were used. A perturbation theory is constructed that allows obtaining practically exact values of stresses and deformations in a wide class of cases. Formulas for longitudinal deformation and slope in the first order of perturbation theory are written out. It is shown that they can be interpreted as asymptotics that are valid at a sufficiently large depth.
About the authors
I. Ya. Tsurkis
Schmidt Institute of Physics of the Earth, Russian Academy of Sciences
Email: tsurkis@ifz.ru
Moscow
E. D. Fedotova
Schmidt Institute of Physics of the Earth, Russian Academy of Sciences
Email: tsurkis@ifz.ru
Moscow
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