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Mathematical notes of NEFU, 2021, Volume 28, Issue 1, Pages 67–77
DOI: https://doi.org/10.25587/SVFU.2021.24.60.006
(Mi svfu311)
 

Mathematical modeling

Calculating the parameters for an underground polyethylene heat supply pipeline in perennial frozen soils

M. P. Akimova, S. D. Mordovskoya, N. P. Starostinb

a Ammosov Northeast Federal University, Institute of Mathematics and Computer Science, 48 Kulakovsky Street, Yakutsk 677891, Russia
b Federal Research Center "Yakutsk Scientific Center SB RAS", Institute of Oil and Gas Problems, 1 Oktyabrskaya Street, Yakutsk, 677027, Russia
Abstract: Based on mathematical modeling of the process of thawing-freezing of the host soil for an underground polyethylene heat supply pipeline with thermal insulation operated in areas of permafrost distribution, we propose a method for calculating the thickness of the thermal insulation layer and depth of the pipeline under the condition of annual zero isotherm establishment in the host soil by the beginning of the heating season at the level of the active soil layer border.
Keywords: heat equation, pipeline, heat supply, permafrost, temperature, finite difference method, thawing depth, thermal insulation thickness.
Received: 06.05.2020
Revised: 16.02.2021
Accepted: 26.02.2021
Bibliographic databases:
Document Type: Article
UDC: 519.63:551.345.2
Language: Russian
Citation: M. P. Akimov, S. D. Mordovskoy, N. P. Starostin, “Calculating the parameters for an underground polyethylene heat supply pipeline in perennial frozen soils”, Mathematical notes of NEFU, 28:1 (2021), 67–77
Citation in format AMSBIB
\Bibitem{AkiMorSta21}
\by M.~P.~Akimov, S.~D.~Mordovskoy, N.~P.~Starostin
\paper Calculating the parameters for an underground polyethylene heat supply pipeline in perennial frozen soils
\jour Mathematical notes of NEFU
\yr 2021
\vol 28
\issue 1
\pages 67--77
\mathnet{http://mi.mathnet.ru/svfu311}
\crossref{https://doi.org/10.25587/SVFU.2021.24.60.006}
\elib{https://elibrary.ru/item.asp?id=45658541}
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