Ice and SnowIce and SnowЛед и снег2076-67342412-3765The Russian Academy of Sciences68840610.31857/S2076673425020073FPAHIMSnow cover and avalanchesСнежный покров и снежные лавиныResearch ArticleEffect of surface cover on the heat flow to the soil on SpitsbergenВлияние поверхностных покровов на тепловые потоки в грунт на Западном ШпицбергенеSosnovskyA. V.СосновскийА. В.
Russian Federation
alexandr_sosnovskiy@mail.ruOsokinN. I.ОсокинН. И.
Russian Federation
alexandr_sosnovskiy@mail.ruInstitute of Geography, Russian Academy of SciencesИнститут географии РАН040920256522822942807202528072025Copyright ©; 2025, Sosnovsky A.V., Osokin N.I.Copyright ©; 2025, Сосновский А.В., Осокин Н.И.2025Sosnovsky A.V., Osokin N.I.Сосновский А.В., Осокин Н.И.http://creativecommons.org/licenses/by/4.0https://journals.eco-vector.com/2076-6734/article/view/688406

Climate warming changes heat fluxes within the atmosphere-surface cover-soil system and affects the thermal state of permafrost. A comparison of heat fluxes from the atmosphere to the soil during the period with positive air temperatures and from the soil to the atmosphere during the cold period makes it possible to assess the stability of permafrost. Snow and moss cover are important factors influencing heat flows. The influence of surface fluxes on heat fluxes is estimated based on mathematical modeling and numerical experiments on the model. The processing of data from field measurements of soil temperature made it possible to determine the heat fluxes for the cold and partially warm periods of the year. A comparison of the data from model calculations and measurements of heat fluxes showed a satisfactory agreement. The difference between them from December to February did not exceed 4%, and in November and March – 9% and 8%, respectively. In 2023/24, during the period with negative air temperatures lasting 255 days with an average air temperature of −7 °C, soil heat losses amounted to 76.5 and 92.3 MJ/m2 with snow thickness of 1.14 m and 0.63 m, respectively, and the average values of heat fluxes from October to March were 4.9 and 5.9 W/m2. According to model calculations, with an average daily positive air temperature of 6.8 °C, the loss by the soil in winter is 10 MJ/m2 less than the heat flow into the soil in summer, leading to permafrost degradation. At snow cover depth of 0.5 m, heat input into the soil in summer coincides with heat loss in winter. With a higher snow cover depth, the heat flow from the soil to the atmosphere decreases, soil cooling decreases and permafrost degradation will occur. The same processes will occur when the snow cover is 1 m depth and the moss cover is less than 3 cm thick. For a moss cover of greater thickness, the thermal stability of permafrost rocks remains. Numerical experiments on the model estimated the heat fluxes and the thickness of the active layer for different snow and moss cover thicknesses and atmospheric air temperatures.

На основе математического моделирования и численных экспериментов дана оценка влияния снежного и мохового покровов на тепловые потоки в грунт. Проведено сравнение с данными измерений в условиях Западного Шпицбергена. Определены значения толщины снежного и мохового покровов, при которых не будет происходить деградация многолетней мерзлоты.

heat flowsoil temperaturesnow and moss covermathematical modelingтепловой потоктемпература грунтаснежный и моховой покровыматематическое моделированиеThe work was carried out within the framework of the State Assignment of the Institute of Geography of the Russian Academy of Sciences FMWS-2024-0004. The collection and analysis of materials for Spitsbergen was carried out under the Program FMWS-2024-0013.Работа выполнена в рамках темы Госзадания Института географии РАН FMWS-2024-0004. Сбор и анализ материалов по Шпицбергену проводился по программе FMWS-2024-0013.Glyatsiologicheskiy slovar’. Glaciological Dictionary. Ed. V.M. Kotlyakov. Leningrad: Hydrometeoizdat, 1984: 528 p. [In Russian].Гляциологический словарь / Под ред. В.М. Котлякова. Л.: Гидрометеоиздат, 1984. 528 с.Goman P.N., Sobol V.R., Brovka A.G., Kruplevich V.Ch. On the influence of moisture on the heat-conducting properties of green moss of a pine forest. Materiali dvadcatoi nauchno-tehnicheskoi konferencii “Sistemi bezopasnosti – 2011”. Proc. of the Twentieth Scientific and Technical Conference “Security Systems – 2011”. Moscow: Academy of the State Fire Service of the Ministry of Emergency Situations of Russia, 2011: 15–18 [In Russian].Гоман П.Н., Соболь В.Р., Бровка А.Г., Круплевич В.Ч. О влиянии влаги на теплопроводящие свойства зелёного мха соснового леса // Материалы 20-й научно-технич. конференции «Системы безопасности – 2011». М.: Академия ГПС МЧС России, 2011. С. 15–18. http://elib.bspu.by/handle/doc/4822Kotlyakov V.M., Sosnovsky A.V., Osokin N.I. Estimation of thermal conductivity of snow by its density and hardness in Svalbard. Led i Sneg. Ice and Snow. 2018, 58 (3): 72–80 [In Russian].Котляков В.М., Сосновский А.В., Осокин Н.И. Оценка коэффициента теплопроводности снега по его плотности и твёрдости на Западном Шпицбергене // Лёд и Снег. 2018. Т. 58. № 3. С. 343–352. https://doi.org/10.15356/2076-6734-2018-3-343-352Kotlyakov V.M., Osokin N.I., Sosnovsky A.V. Dynamics of seasonally thawed layer on Svalbard and the Antarctic Peninsula in the ХХI century according to modeling data. Led i Sneg. Ice and Snow. 2020, 60 (2): 201–212. https://doi.org/10.31857/S2076673420020034 [In Russian].Котляков В.М., Осокин Н.И., Сосновский А.В. Динамика сезонно-талого слоя на Шпицбергене и Антарктическом полуострове в ХХI в. по результатам моделирования // Лёд и Снег. 2020. Т. 60. № 2. С. 201–212. https://doi.org/10.31857/S2076673420020034Matveev L.T. Kurs obschei meteorologii. Fizika atmosferi. Сourse of general meteorology. Physics of the atmosphere. Leningrad: Hydrometeoizdat, 1984: 751 p. [In Russian].Матвеев Л.Т. Курс общей метеорологии. Физика атмосферы. Л.: Гидрометеоиздат, 1984. 751 с.Osokin N.I., Sosnovsky A.V., Chernov R.A. Influence of snow cover stratigraphy on its thermal resistance. Led i Sneg. Ice and Snow. 2013, 53 (3): 63–70. https://doi.org/10.15356/2076-6734-2013-3-63-70 [In Russian].Осокин Н.И., Сосновский А.В., Чернов Р.А. Влияние стратиграфии снежного покрова на его термическое сопротивление // Лёд и Снег. 2013. Т. 53. № 3. С. 63–70. https://doi.org/10.15356/2076-6734-2013-3-63-70Osokin N.I., Sosnovskiy A.V. Influence of temperature and dynamics of snow cover on the ground freezing. Kriosfera Zemli. Earth Cryosphere. 2015, 19 (1): 99–105 [In Russian].Осокин Н.И., Сосновский А.В. Влияние динамики температуры воздуха и высоты снежного покрова на промерзание грунта // Криосфера Земли. 2015. Т. XIX. № 1. С. 99–105.Osokin N.I., Sosnovsky A.V. Influence of meteorological conditions on the thermal insulation properties of moss cover according to measurements on Svalbard. Kriosfera Zemli. Earth Cryosphere. 2021, 25 (4): 17–25. https://doi.org/10.15372/KZ20210402 [In Russian].Осокин Н.И., Сосновский А.В. Влияние метеорологических условий на теплоизоляционные свойства мохового покрова по данным измерений на Шпицбергене // Криосфера Земли. 2021. Т. XXV. № 4. С. 17–25. https://doi.org/10.15372/KZ20210402Ostroumov V.E., Fedorov-Davydov D.G., Komarov I.A., Shevchik F.A., Koloskov A.M., Volokitin M.P., Goncharov V.V., Bykhovets S.S., Shabaev V.P., Kholodov A.L., Eremin I.I., Kropachev D.Yu., Davydov S.P., Davydova A.I. A method for evaluating the thermophysical properties of seasonally freezing and seasonally thawing soils under natural conditions. Kriosfera Zemli. Earth Cryosphere. 2022, 26 (6): 15–23 [In Russian].Остроумов В.Е., Федоров–Давыдов Д.Г., Комаров И.А., Шевчик Ф.А., Колосков А.М., Волокитин М.П., Гончаров В.В., Быховец С.С., Шабаев В.П., Холодов А.Л., Еремин И.И., Кропачев Д.Ю., Давыдов С.П., Давыдова А.И. Методика оценки теплофизических свойств почв сезонномёрзлого и сезонноталого слоёв в природных условиях // Криосфера Земли. 2022. Т. XXVI. № 6. С. 15–23.Pavlov A.V. Monitoring kriolitozony. Monitoring of cryolithozone. Novosibirsk: Geo, 2008: 229 p. [In Russian].Павлов А.В. Мониторинг криолитозоны. Новосибирск: Гео, 2008. 229 с.Building Code. SNiP 2.02.04–88. Osnovaniya i fundamenty na vechnomerzlyh gruntah. Basements and Foundations in Permafrost. GUP TCPP. Moscow, 1997: 52 p. [In Russian].СНиП 2.02.04–88. Основания и фундаменты на вечномерзлых грунтах. М.: Изд. ГУП ЦПП, 1997. 52 с.Sosnovskiy A.V., Osokin N.I. Impact of moss and snow cover on the sustainability of permafrost in West Spitsbergen due to climatic changes. Vestnik Kol’skogo nauchnogo tsentra. Bulletin of the Kola Science Center. 2018, 10 (3): 179–185. https://doi.org/10.25702/KSC.2307-5228.2018.10.3. 179-185 [In Russian].Сосновский А.В., Осокин Н.И. Влияние мохового и снежного покровов на устойчивость многолетней мерзлоты на Западном Шпицбергене при климатических изменениях // Вест. Кольского научного центра. 2018. Т. 10. № 3. С. 179–185. https://doi.org/10.25702/KSC.2307-5228.2018.10.3.179-185Sosnovsky A.V., Osokin N.I. Effect of thaws on snow cover and soil freezing under the contemporary climate change. Led i Sneg. Ice and Snow. 2019, 59 (4): 475–482. https://doi.org/10.15356/2076-6734-2019-4-433 [In Russian].Сосновский А.В., Осокин Н.И. Влияние оттепелей на снежный покров и промерзание грунта при современных изменениях климата // Лёд и Снег. 2019. Т. 59. № 4. С. 475–482. https://doi.org/10.15356/2076-6734-2019-4-433Stepanenko V.M., Repina I.A., Fedosov V.E., Zilitinkevich S.S., Lykosov V.N. Review of methods for parameterizing heat transfer in moss cover for earth system models. Izvestiya RAN. Fizika atmosferi i okeana. Bulletin of the Russian Academy of Sciences. Atmospheric and Oceanic Physics. 2020, 56 (2): 127–138 [In Russian].Степаненко В.М., Репина И.А., Федосов В.Э., Зилитинкевич С.С., Лыкосов В.Н. Обзор методов параметризации теплообмена в моховом покрове для моделей земной системы // Известия РАН. Физика атмосферы и океана. 2020. Т. 56. № 2. С. 127–138.Tishkov A.A., Osokin N.I., Sosnovski A.V. The impact of moss synusia on the active layer of Arctic Soil and Subsoil. Izv. Acad. Nauk, Ser. Geogr. Bulletin of the Russian Academy of Sciences. Geographic series. 2013, 3: 39–46 [In Russian].Тишков А.А., Осокин Н.И., Сосновский А.В. Влияние синузий мохообразных на деятельный слой арктических почв // Изв. РАН. Сер. Геогр. 2013. № 3. С. 39–46.Fedorov-Davydov D.G., Ostroumov V.E., Davydov S.P., Davydova A.I., Volokitin M.P., Eremin I.I., Kropachev D.Yu., Lupachev A.V. Dynamics of heat flows and structure of annual heat circulation in the permafrost soil of the sparse tundra forests of the Kolyma Lowland. Merzlotnie pochvi v antropocene. Permafrost Soils in the Anthropocene: collection of abstracts of the All-Russian scientific and practical conference (Salekhard – Labytnangi, Yamalo-Nenets Autonomous Okrug, Russia, August 20–26, 2023). Syktyvkar: IB FRC Komi Science Center, Ural Branch of the Russian Academy of Sciences, 2023: 98–99 [In Russian].Федоров-Давыдов Д.Г., Остроумов В.Е., Давыдов С.П., Давыдова А.И., Волокитин М.П., Еремин И.И., Кропачев Д.Ю., Лупачев А.В. Динамика тепловых потоков и структура годовых теплооборотов в мерзлотной почве притундрового редколесья Колымской низменности // Мерзлотные почвы в антропоцене: сборник тезисов Всероссийской научно–практической конференции (Салехард – Лабытнанги, ЯНАО, Россия, 20–26 августа 2023) / Отв. ред. А.В. Лупачев, Е.М. Лаптева. Сыктывкар: ИБ ФИЦ Коми НЦ УрО РАН, 2023. С. 98–99.Sherstyukov A.B. Correlation of soil temperature with air temperature and snow cover depth in Russia. Kriosfera Zemli. Cryosphere of the Earth. 2008, 12 (1): 79–87 [In Russian].Шерстюков А.Б. Корреляция температуры почвогрунтов с температурой воздуха и высотой снежного покрова на территории России // Криосфера Земли. 2008. Т. ХII. № 1. С. 79–87.Shmakin A.B., Osokin N.I., Sosnovsky A.V., Zazovskaya E.P., Borzenkova A.V. Influence of snow cover on soil freezing and thawing in the West Spitsbergen. Led i Sneg. Ice and Snow. 2013, 53 (4): 52−59. https://doi.org/10.15356/2076-6734-2013-4-52-5 [In Russian].Шмакин А.Б., Осокин Н.И., Сосновский А.В., Зазовская Э.П., Борзенкова А.В. Влияние снежного покрова на промерзание и протаивание грунта на Западном Шпицбергене // Лёд и Снег. 2013. № 4 (123). С. 52–59.Jan H., Streletskiy D., Doré G., Wu Q., Bjella K., Luoto M. Impacts of permafrost degradation on infrastructure. Nature Reviews Earth & Environ. 2022, 3 (1): 24–38. https://doi.org/10.1038/s43017-021-00247-8Jan H., Streletskiy D., Doré G., Wu Q., Bjella K., Luoto M. Impacts of permafrost degradation on infrastructure // Nature Reviews Earth & Environmen. 2022. V. 3. № 1. P. 24–38. https://doi.org/10.1038/s43017-021-00247-8Park H., Launiainen S., Konstantinov P.Y., Iijima Y., Fedorov A.N. Modeling the Effect of Moss Cover on Soil Temperature and Carbon Fluxes at a Tundra Site in Northeastern Siberia. Journ. of Geophysical Research: Biogeosciences. 2018, 123 (9): 3028–3044. https://doi.org/10.1029/2018JG004491Park H., Launiainen S., Konstantinov P.Y., Iijima Y., Fedorov A.N. Modeling the Effect of Moss Cover on Soil Temperature and Carbon Fluxes at a Tundra Site in Northeastern Siberia // Journ. of Geophys. Research: Biogeosciences. 2018. V. 123. Issue 9. P. 3028–3044. https://doi.org/10.1029/2018JG004491Beringer J., Lynch A., Chapin F., Mack M., Bonan G. The Representation of Arctic Soils in the Land Surface Model: The Importance of Mosses. Journal of Climate. 2001, 14: 3324–3335.Beringer J., Lynch A., Chapin F., Mack M., Bonan G. The Representation of Arctic Soils in the Land Surface Model: The Importance of Mosses // Journ. of Climate. 2001. V. 14. P. 3324–3335.Porada P., Ekici A., Beer C. Effects of bryophyte and lichen cover on permafrost soil temperature at large scale. The Cryosphere. 2016, 10: 2291–2315. https://doi.org/10.5194/tc-10-2291-2016Porada P., Ekici A., Beer C. Effects of bryophyte and lichen cover on permafrost soil temperature at large scale // The Cryosphere. 2016. V. 10. P. 2291–2315. https://doi.org/10.5194/tc-10-2291-2016Schneider von Deimling T., Lee H., Ingeman-Nielsen T., Westermann S., Romanovsky V., Lamoureux S., Walker D.A., Chadburn S., Trochim E., Cai L., Nitzbon J., Jacobi S., Langer M. Consequences of permafrost degradation for Arctic infrastructure – bridging the model gap between regional and engineering scales. The Cryosphere. 2021, 15: 2451–2471. https://doi.org/10.5194/tc-15-2451-2021Schneider von Deimling T., Lee H., Ingeman-Nielsen T., Westermann S., Romanovsky V., Lamoureux S., Walker D.A., Chadburn S., Trochim E., Cai L., Nitzbon J., Jacobi S., Langer M. Consequences of permafrost degradation for Arctic infrastructure – bridging the model gap between regional and engineering scales // The Cryosphere. 2021. V. 15. P. 2451–2471. https://doi.org/10.5194/tc-15-2451-2021Shiklomanov N.I., Streletskiy D.A., Swales T. B., Kokorev V.A. Climate change and stability of urban infrastructure in Russian permafrost regions: prognostic assessment based on GCM climate projections. Geogr. Review. 2017, 107: 125–142.Shiklomanov N.I., Streletskiy D.A., Swales T.B., Kokorev V.A. Climate change and stability of urban infrastructure in Russian permafrost regions: prognostic assessment based on GCM climate projections // Geogr. Rev. 2017. V. 107. P. 125–142.Snow and Climate: Physical Processes, Surface Energy Exchange and Modeling. Cambridge, UK: Cambridge Univ. Press, 2008: 256 p.Snow and Climate: Physical Processes, Surface Energy Exchange and Modeling / R.L. Armstrong, E. Brun. Cambridge, UK: Cambridge Univ. Press, 2008. 256 p.Stieglitz M., Déry S.J., Romanovsky V.E., Osterkamp T.E. The role of snow cover in the warming of arctic permafrost. Geophys. Research Letters. 2003, 13 (30): 1721–1724.Stieglitz M., Déry S.J., Romanovsky V.E., Osterkamp T.E. The role of snow cover in the warming of arctic permafrost // Geophys. Research Letters. 2003. V. 30. № 13. Р. 1721–1724.Suter L., Streletskiy D., Shiklomanov N. Assessment of the cost of climate change impacts on critical infrastructure in the circumpolar Arctic. Polar Geography. 2019, 42: 267–286. https://doi.org/10.1080/1088937X.2019.1686082Suter L., Streletskiy D., Shiklomanov N. Assessment of the cost of climate change impacts on critical infrastructure in the circumpolar Arctic // Polar Geography. 2019. V. 42. P. 267–286. https://doi.org/10.1080/1088937X.2019.1686082