MATHEMATICAL MODEL OF FREEZING OF ROCKS SATURATED WITH SALT SOLUTION TAKING INTO ACCOUNT THE INFLUENCE OF OSMOSIS

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About the authors

M. Ramazanov

Institute for Geothermal Research and Renewable Energy (Branch of the Joint Institute for High Temperatures, Russian Academy of Sciences)

Email: mukamay-ipg@mail.ru
ORCID iD: 0000-0002-2468-1272

N. Bulgakova

Institute for Geothermal Research and Renewable Energy (Branch of the Joint Institute for High Temperatures, Russian Academy of Sciences)

Email: mukamay-ipg@mail.ru
ORCID iD: 0000-0002-4224-1246

L. Lobkovsky

P.P.Shirshov Institute of Oceanology of the Russian Academy of Science; Moscow Institute of Physics and Technology (State University)

Author for correspondence.
Email: mukamay-ipg@mail.ru
ORCID iD: 0000-0002-8033-8452

References

  1. Chuvilin, E. M. (1999), Migration of ions of chemical elements in freezing and frozen soils, Polar Record, 35(192), 59–66, https://doi.org/10.1017/s0032247400026346.
  2. Kemper, W. D. (1961), Movement of Water as Effected by Free Energy and Pressure Gradients: II. Experimental Analysis of Porous Systems in Which Free Energy and Pressure Gradients Act in Opposite Directions, Soil Science Society of America Journal, 25(4), 260–265, https://doi.org/10.2136/sssaj1961.03615995002500040010x.
  3. Landau, L. D., and E. M. Lifshitz (1976), Theoretical Physics: Volume 5, Nauka, Moscow (in Russian).
  4. Lobkovskii, L. I., and M. M. Ramazanov (2018), Front Regime of Heat and Mass Transfer in a Gas Hydrate Reservoir under the Negative Temperature Conditions, Fluid Dynamics, 53(4), 517–530, https://doi.org/10.1134/s0015462818040092.
  5. Ramazanov, M. M., A. V. Karakin, and L. I. Lobkovskiy (2019), Mathematical Model for the Motion of Solutions Taking into Account the Osmotic Effect, Doklady Earth Sciences, 489(1), 1306–1309, https://doi.org/10.1134/s1028334x19110060
  6. Ramazanov, M. M., N. S. Bulgakova, and L. I. Lobkovskiy (2022), Osmotic Convection, Doklady Physics, 67(5), 153–158, https://doi.org/10.1134/s1028335822040061.
  7. Shakhova, N., I. Semiletov, O. Gustafsson, V. Sergienko, L. Lobkovsky, O. Dudarev, V. Tumskoy, M. Grigoriev, A. Mazurov, A. Salyuk, R. Ananiev, A. Koshurnikov, D. Kosmach, A. Charkin, N. Dmitrevsky, V. Karnaukh, A. Gunar, A. Meluzov, and D. Chernykh (2017), Current rates and mechanisms of subsea permafrost degradation in the East Siberian Arctic Shelf, Nature Communications, 8(1), https://doi.org/10.1038/ncomms15872.
  8. Tsypkin, G. G. (2009), Flows with phase transitions in porous media, Fizmatlit, Moscow (in Russian)
  9. Yakushev, V. S. (2009), Natural gas and gas hydrates in permafrost, VNIIGAZ, Moscow (in Russian)

Copyright (c) 2023 Ramazanov M., Bulgakova N., Lobkovsky L.

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