from 01.01.1985 until now
Makhachkala, Makhachkala, Russian Federation
from 01.01.1994 until now
Makhachkala, Makhachkala, Russian Federation
Moscow Institute of Physics and Technology (State University)
Moscow, Moscow, Russian Federation
UDK 550.3 Геофизика
UDK 532.685 Движение жидкостей в пористых телах
UDK 532.71 Осмос
UDK 551.345 Многолетние мерзлые грунты. Многолетняя мерзлота
UDK 55 Геология. Геологические и геофизические науки
UDK 550.34 Сейсмология
UDK 550.383 Главное магнитное поле Земли
GRNTI 37.01 Общие вопросы геофизики
GRNTI 37.15 Геомагнетизм и высокие слои атмосферы
GRNTI 37.25 Океанология
GRNTI 37.31 Физика Земли
GRNTI 38.01 Общие вопросы геологии
GRNTI 36.00 ГЕОДЕЗИЯ. КАРТОГРАФИЯ
GRNTI 37.00 ГЕОФИЗИКА
GRNTI 38.00 ГЕОЛОГИЯ
GRNTI 39.00 ГЕОГРАФИЯ
GRNTI 52.00 ГОРНОЕ ДЕЛО
OKSO 05.00.00 Науки о Земле
BBK 26 Науки о Земле
TBK 63 Науки о Земле. Экология
BISAC SCI SCIENCE
The paper presents a mathematical model of rocks freezing saturated with salt solution under impact of osmotic force. Osmosis is related to the salt concentration gradient, which is characteristic for solutions, and it is a powerful mechanism for the movement of solutions in poorly permeable porous media. A mathematical criterion for the formation of closed “pockets” with brines (cryopags) in frozen rocks has been obtained. This criterion is shown to be significantly depends on the osmosis coefficient. The model includes three layers of a porous medium saturated, respectively, with ice, ice and solution, and salt solution only. A special case was studied when there is only a second layer with a movable boundary, on which a phase transition from the second layer to the third one occurs. The investigated layer is saturated with a salt solution and ice in thermodynamic equilibrium. Other layers are replaced by boundary conditions. An approximate analytical solution of the problem is found in a self-similar formulation. The nature of the influence of osmotic force on the freezing process of rocks saturated with solution is shown. The characteristic patterns associated with the considered process are revealed. One of the features of the osmosis influence is the fact that it can cause the movement (migration) of the solution in the direction of increasing pressure, i.e. in the direction opposite to the driving force caused by the pressure gradient.
osmosis, freezing, porous medium, salt solution, filtration, phase transition
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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
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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)
