Russian Journal of Earth Sciences Russian Journal of Earth Sciences Russian Journal of Earth Sciences 1681-1208 81452 10.2205/2024ES000919 hicjyc ОРИГИНАЛЬНЫЕ СТАТЬИ ORIGINAL ARTICLES ОРИГИНАЛЬНЫЕ СТАТЬИ Freezing Patterns in Saline Soils: Modeling with Regard to the Osmotic Effect Freezing Patterns in Saline Soils: Modeling with Regard to the Osmotic Effect https://orcid.org/0000-0002-2468-1272 Рамазанов Мукамай Магомедович Ramazanov Mukamay Magomedovich mukamay-ipg@mail.ru

доктор физико-математических наук;

doctor of physical and mathematical sciences;

 https://orcid.org/0000-0002-4224-1246 Булгакова Наталья Сергеевна Bulgakova Natal'ya Sergeevna ipgnatali@mail.ru

кандидат технических наук;

candidate of technical sciences;

 https://orcid.org/0000-0002-8033-8452 Лобковский Леопольд Исаевич Lobkovsky Leopold Isaevich llobkovsky@mail.ru https://orcid.org/0000-0003-1173-546X Чувилин Евгений Михайлович Chuvilin Evgeny Mikhailovich https://orcid.org/0009-0003-3942-7749 Гаджимагомедова Салихат Рамазановна Gadzhimagomedova Salikhat Ramazanovna salikhat.g@gmail.com https://orcid.org/0000-0002-5878-566X Шахова Наталья Евгеньевна Shakhova Natalia Evgenievna Институт проблем геотермии и возобновляемой энергетики - филиал Объединенного института высоких температур РАН Россия Institute for Geothermal Research and Renewable Energy (Branch of the Joint Institute for High Temperatures, Russian Academy of Sciences) Russian Federation Институт динамики геосфер РАН Россия Institute of Geosphere Dynamics of the Russian Academy of Sciences Russian Federation Институт проблем геотермии и возобновляемой энергетики - филиал Объединенного института высоких температур РАН Махачкала Россия Institute for Geothermal Research and Renewable Energy (Branch of the Joint Institute for High Temperatures, Russian Academy of Sciences) Makhachkala Russian Federation Дагестанский государственный институт народного хозяйства Россия Dagestan State Institute of National Economy Russian Federation Институт океанологии им. П.П. Ширшова РАН P.P.Shirshov Institute of Oceanology of the Russian Academy of Science Томский государственный университет Tomsk State University Центр науки и технологии добычи углеводородов Сколковского института науки и технологий (Сколтех), Инновационный центр "Сколково" Москва Россия Skolkovo Institute of Science and Technology (Skoltech), Innovation Center Skolkovo Moscow Russian Federation Институт проблем геотермии и возобновляемой энергетики – филиал Объединенного института высоких температур Российской академии наук Махачкала Россия Institute for Geothermal Research and Renewable Energy (Branch of Joint Institute for High Temperatures, Russian Academy of Sciences) Makhachkala Russian Federation Дагестанский государственный институт народного хозяйства Россия Dagestan State Institute of National Economy Russian Federation Тихоокеанский океанологический институт им. В.И. Ильичева Дальневосточного отделения Российской академии наук Владивосток Россия V.I. Il’ichev Pacific Oceanological Institute, Far Eastern Branch Russian Academy of Sciences, Vladivostok, Russia Vladivostok Russian Federation Институт динамики геосфер РАН Россия Institute of Geosphere Dynamics of the Russian Academy of Sciences Russian Federation 26 12 2024 26 12 2024 24 4 1 12 17 04 2024 12 07 2024 https://rjes.ru/en/nauka/article/81452/view

Freezing patterns in a porous soil saturated with a saline solution are investigated with regard to osmotic effects, using a model suggested previously by the authors but in a more general formulation. The results include a numerical and an approximate self-similar analytical solution to a nonlinear problem; description of typical freezing behavior in the presence of osmotic pressure. The modeling results agree well with experimental evidence on freezing of saline clay and sand. The model includes three porous domains with ice (I), thermodynamically equilibrated ice+solution (II), and a liquid saline solution (III) in the pores. The modeling is performed for a simplified case of domains II and III that share a mobile phase boundary where the solution freezes up partially, with heat release.

Freezing patterns in a porous soil saturated with a saline solution are investigated with regard to osmotic effects, using a model suggested previously by the authors but in a more general formulation. The results include a numerical and an approximate self-similar analytical solution to a nonlinear problem; description of typical freezing behavior in the presence of osmotic pressure. The modeling results agree well with experimental evidence on freezing of saline clay and sand. The model includes three porous domains with ice (I), thermodynamically equilibrated ice+solution (II), and a liquid saline solution (III) in the pores. The modeling is performed for a simplified case of domains II and III that share a mobile phase boundary where the solution freezes up partially, with heat release.

 freezing saline rock osmosis mathematical model modeling physical model freezing saline rock osmosis mathematical model modeling physical model This research, in general, was funded by the Russian Science Foundation, grant No. 22-67-00025. This research, in general, was funded by the Russian Science Foundation, grant No. 22-67-00025.

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