Osmotic Convection

Рамазанов, М. М.; Bulgakova, N. S.; Lobkovskiy, L. I.

doi:10.1134/s1028335822040061

Dokl. Phys.

2022

DOI: 10.1134/s1028335822040061

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Osmotic Convection

М. М. Рамазанов

N. S. Bulgakova

L. I. Lobkovskiy

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Cited by 2 publications

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Mathematical Model of Freezing of Rocks Saturated With Salt Solution Taking Into Account the Influence of Osmosis

Ramazanov,

Bulgakova,

Lobkovsky

2023

Russian Journal of Earth Sciences

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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.

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Mathematical Model of Freezing of Rocks Saturated With Salt Solution Taking Into Account the Influence of Osmosis

Ramazanov,

Bulgakova,

Lobkovsky

2023

Russian Journal of Earth Sciences

View full text Add to dashboard Cite

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Freezing Patterns in Saline Soils: Modeling with Regard to the Osmotic Effect

Ramazanov,

Bulgakova,

Lobkovsky

et al. 2024

Russian Journal of Earth Sciences

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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.

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Osmotic Convection

Cited by 2 publications

References 13 publications

Mathematical Model of Freezing of Rocks Saturated With Salt Solution Taking Into Account the Influence of Osmosis

Mathematical Model of Freezing of Rocks Saturated With Salt Solution Taking Into Account the Influence of Osmosis

Freezing Patterns in Saline Soils: Modeling with Regard to the Osmotic Effect

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