CORRECTION TO TEMPERATURE FIELD IN THE UPPER LAYER OF THE EARTH CORE DUE TO RELIEF: PERTURBATION THEORY
1 Schmidt Institute of Physics of the Earth, Russian Academy of Sciences
2 Bauman Moscow State Technical University
Journal: Geophysical processes and biosphere
Tome: 22
Number: 4
Year: 2023
Pages: 25-35
UDK: 550.34.01
DOI: 10.21455/gpb2023.4-3
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Tsurkis
E.D I.Ya. CORRECTION TO TEMPERATURE FIELD IN THE UPPER LAYER OF THE EARTH CORE DUE TO RELIEF: PERTURBATION THEORY
// . 2023. Т. 22. № 4. С. 25-35. DOI: 10.21455/gpb2023.4-3
@article{Tsurkis
E.DCORRECTION2023,
author = "Tsurkis
E.D, I. Ya.",
title = "CORRECTION TO TEMPERATURE FIELD IN THE UPPER LAYER OF THE EARTH CORE DUE TO RELIEF: PERTURBATION THEORY
",
journal = "Geophysical processes and biosphere",
year = 2023,
volume = "22",
number = "4",
pages = "25-35",
doi = "10.21455/gpb2023.4-3",
language = "English"
}
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Keywords: relief line, local depth, heated layer, reduced temperature.
Аnnotation: The theme of the article: evaluation of effect of two-dimensional relief on the temperature field in upper layer of the earthʼs core. Situation in which relief amplitude is comparable with the depth of heated layer is learned. This depth is about ~3 m, if we speak about yearlong mode. The perturbation theory is invented. An approximate solution of heat equation is obtained: through integrals for arbitrary relief, and through elementary functions, if relief line presents a sine curve. Variation of the temperature along fixed local depth lines is analyzed. It is shown, that the amplitude of oscillations of temperature takes the least value in points, situated under minimums of relief line.