Hydrological–Thermal Coupling Simulation of Silty Clay during Unidirectional Freezing Based on the Discrete Element Method

A hydrological–thermal coupling discrete element model depicting the unidirectional freezing process of unsaturated silty clay was developed in order to investigate the migration law of unfrozen water in unsaturated silty clay under unidirectional freezing circumstances. The model uses the contact h...

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Main Authors: Wei Shan, Shiyao Qu, Ying Guo
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/15/7/1338
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author Wei Shan
Shiyao Qu
Ying Guo
author_facet Wei Shan
Shiyao Qu
Ying Guo
author_sort Wei Shan
collection DOAJ
description A hydrological–thermal coupling discrete element model depicting the unidirectional freezing process of unsaturated silty clay was developed in order to investigate the migration law of unfrozen water in unsaturated silty clay under unidirectional freezing circumstances. The model uses the contact heat transfer equation to calculate the heat transfer process while taking into account the latent heat of phase transition. To obtain the silty clay’s freezing characteristic curve, the model combines the unfrozen water content curve with the Clausius–Clapeyron equation. The water migration from the unfrozen zone to the frozen zone was calculated using Harlan’s model and the frozen fringe hypothesis. The discrete element application MatDEM 3.0 was used to incorporate the mathematical model for computation, and the output was compared to the result of indoor unidirectional freezing tests. The soil closest to the stable freezing front had the largest water content, according to the findings of numerical modeling and laboratory testing, and unfrozen water in the soil would move from the unfrozen zone to the frozen zone under the action of water potential difference. The results of laboratory tests and numerical simulations can accurately describe the temperature variation and water migration of soil during freezing, demonstrating the accuracy of the established discrete element model and proving the viability of the discrete element method in the study of frozen soil.
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spelling doaj.art-5e267373ad23403d811ad4c00c95b21d2023-11-17T17:50:04ZengMDPI AGWater2073-44412023-03-01157133810.3390/w15071338Hydrological–Thermal Coupling Simulation of Silty Clay during Unidirectional Freezing Based on the Discrete Element MethodWei Shan0Shiyao Qu1Ying Guo2Institute of Cold Regions Science and Engineering, Northeast Forestry University, Harbin 150040, ChinaInstitute of Cold Regions Science and Engineering, Northeast Forestry University, Harbin 150040, ChinaInstitute of Cold Regions Science and Engineering, Northeast Forestry University, Harbin 150040, ChinaA hydrological–thermal coupling discrete element model depicting the unidirectional freezing process of unsaturated silty clay was developed in order to investigate the migration law of unfrozen water in unsaturated silty clay under unidirectional freezing circumstances. The model uses the contact heat transfer equation to calculate the heat transfer process while taking into account the latent heat of phase transition. To obtain the silty clay’s freezing characteristic curve, the model combines the unfrozen water content curve with the Clausius–Clapeyron equation. The water migration from the unfrozen zone to the frozen zone was calculated using Harlan’s model and the frozen fringe hypothesis. The discrete element application MatDEM 3.0 was used to incorporate the mathematical model for computation, and the output was compared to the result of indoor unidirectional freezing tests. The soil closest to the stable freezing front had the largest water content, according to the findings of numerical modeling and laboratory testing, and unfrozen water in the soil would move from the unfrozen zone to the frozen zone under the action of water potential difference. The results of laboratory tests and numerical simulations can accurately describe the temperature variation and water migration of soil during freezing, demonstrating the accuracy of the established discrete element model and proving the viability of the discrete element method in the study of frozen soil.https://www.mdpi.com/2073-4441/15/7/1338discrete element methodhydrological–thermal couplingnumerical analysisunidirectional freezing
spellingShingle Wei Shan
Shiyao Qu
Ying Guo
Hydrological–Thermal Coupling Simulation of Silty Clay during Unidirectional Freezing Based on the Discrete Element Method
Water
discrete element method
hydrological–thermal coupling
numerical analysis
unidirectional freezing
title Hydrological–Thermal Coupling Simulation of Silty Clay during Unidirectional Freezing Based on the Discrete Element Method
title_full Hydrological–Thermal Coupling Simulation of Silty Clay during Unidirectional Freezing Based on the Discrete Element Method
title_fullStr Hydrological–Thermal Coupling Simulation of Silty Clay during Unidirectional Freezing Based on the Discrete Element Method
title_full_unstemmed Hydrological–Thermal Coupling Simulation of Silty Clay during Unidirectional Freezing Based on the Discrete Element Method
title_short Hydrological–Thermal Coupling Simulation of Silty Clay during Unidirectional Freezing Based on the Discrete Element Method
title_sort hydrological thermal coupling simulation of silty clay during unidirectional freezing based on the discrete element method
topic discrete element method
hydrological–thermal coupling
numerical analysis
unidirectional freezing
url https://www.mdpi.com/2073-4441/15/7/1338
work_keys_str_mv AT weishan hydrologicalthermalcouplingsimulationofsiltyclayduringunidirectionalfreezingbasedonthediscreteelementmethod
AT shiyaoqu hydrologicalthermalcouplingsimulationofsiltyclayduringunidirectionalfreezingbasedonthediscreteelementmethod
AT yingguo hydrologicalthermalcouplingsimulationofsiltyclayduringunidirectionalfreezingbasedonthediscreteelementmethod