A hybrid analytical-numerical technique for solving soil temperature during the freezing process

Huang, Xiang; Rudolph, David L.

doi:10.1016/j.advwatres.2022.104163

Cited by 10 publications

(10 citation statements)

References 28 publications

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“…Therefore, it is important to use three-dimensional mathematical models and to approve the simulation of the operation of SCDs, the efficiency of which depends on the temperature difference in the ventilated underground and the ground temperature. Effectiveness of SCDs depends on the air temperature and it will be valuable to compare the results of the presented and models of the coupling between water and heat transfer [72][73][74][75][76][77][78][79][80].…”

Section: Discussionmentioning

confidence: 99%

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Modeling the Temperature Field in Frozen Soil under Buildings in the City of Salekhard Taking into Account Temperature Monitoring

Filimonov

Kamnev

Шеин

et al. 2022

Land

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Most residential buildings and capital structures in the permafrost zone are constructed on the principle of maintaining the frozen state of the foundation soils. The changing climate and the increasing anthropogenic impact on the environment lead to changes in the boundaries of permafrost. These changes are especially relevant in the areas of piling foundations of residential buildings and other engineering structures located in the northern regions since they can lead to serious accidents caused by the degradation of permafrost and decrease the bearing capacity of the soil in such areas. Therefore, organization of temperature monitoring and forecasting of temperature changes in the soil under the buildings is an actual problem. To solve this problem, we use computer simulation methods of three-dimensional nonstationary thermal fields in the soil in combination with real-time monitoring of the temperature of the soil in thermometric wells. The developed approach is verified by using the temperature monitoring data for a specific residential building in the city of Salekhard. Comparison of the results of numerical calculations with experimental data showed good agreement. Using the developed computer software, nonstationary temperature fields under this building are obtained and, on this basis, the bearing capacities of all piles are calculated and a forecast of their changes in the future is given. To avoid decreasing the bearing capacity of piles it is necessary to prevent the degradation of permafrost and to supply the thermal stabilization of the soil. The proposed approach, based on a combination of the soil temperature monitoring and computer modeling methods, can be used to improve geotechnical monitoring methods.

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Section: Discussionmentioning

confidence: 99%

“…There are many approaches to solving such problems that consider the relationship between water and heat transfer and the influence of the lateral flow of groundwater [72][73][74][75][76][77][78][79][80].…”

Section: Research Objects and Methodsmentioning

confidence: 99%

Modeling the Temperature Field in Frozen Soil under Buildings in the City of Salekhard Taking into Account Temperature Monitoring

Filimonov

Kamnev

Шеин

et al. 2022

Land

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“…The energy conservation law of thermal fields in freezing soils can be expressed as (e.g., Bense et al., 2009; Huang & Rudolph, 2021):

{C}_{e}\frac{\partial T}{\partial t}-{L}_{f}{\rho }_{l}{v}_{f}=\nabla \cdot \left[{\lambda }_{e}\nabla (T)\right]-{C}_{l}{q}_{l}\cdot \nabla T

where

{q}_{l}

is the water flow rate (

=K\left({\theta }_{l}\right)\nabla {\varphi }_{h}

); effective heat capacity

{C}_{e}

is calculated as a volumetric weighted mean of the heat capacities of water

{C}_{l}

, ice

{C}_{i}

, air

{C}_{a}

, and soil grains

{C}_{soil}

; while effective thermal conductivity

{\lambda }_{e}

is calculated as a weighted geometric mean (e.g., Huang & Rudolph, 2022) from thermal conductivities of water

{\lambda }_{l}

, ice

{\lambda }_{i}

, air

{\lambda }_{a}

, and soil grains

…”

Section: Modeling Approachmentioning

confidence: 99%

“…For this study, the built‐in modules within the Comsol platform porous media fluid flow, heat transfer, linear elastic geomechanical behavior and the equation‐based interface for the ice volumetric content are used for simultaneously solving the governing equations (Comsol, 2017). Comsol has been demonstrated to be good at simulating these complex, multiple‐coupled processes (e.g., Huang et al., 2019; Huang & Rudolph, 2021, 2022; Lai et al., 2009). We assumed isotropic ice growth under the two‐dimensional plane strain condition.…”

Section: Modeling Approachmentioning

confidence: 99%

A Coupled Thermal‐Hydraulic‐Mechanical Approach to Modeling the Impact of Roadbed Frost Loading on Water Main Failure

Huang

Rudolph

Glass

2022

Water Resources Research

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Subsurface pipe failures in cold regions are generally believed to be exacerbated by differential strain in shallow soils induced by seasonal freeze and thaw cycles. The transient stress–strain fields resulting from soil water phase change may influence the occurrence of local buried pipe breaks including those related to urban water mains. This work proposes that freezing‐induced frost loading results in uneven stress–strain distributions along the buried water mains placing them at risk of bending, breaking, and/or leaking. A coupled thermal‐hydraulic‐mechanical (THM) model was developed to illustrate the interactions among moisture, temperature, and stress–strain fields within variably saturated freezing soils. Several typical cases involving highly frost‐susceptible and lower frost‐susceptible soils underlying roadbeds were examined. Results show that the magnitude of frost‐induced compressive stress and strain changes between different frost‐susceptible soils can vary significantly. Such substantial differences in stress–strain fields would increase the breakage risk of water mains buried within different types of soils. Furthermore, even water mains buried within soils with low frost‐susceptibility are at risk when additional sources of soil water exist and are available to migrate to the freezing front. To reduce the risk of damage to buried pipe‐like infrastructure, such as municipal water mains, from soil freezing phenomena, the selected backfill material should have fairly consistent frost susceptibility or a broad zone of transition should be considered between materials with significantly different frost susceptibility. In addition, buried pipes should be kept as far away from external sources of subsurface water as possible considering the potential for the water source to exacerbate the level of risk to the pipe.

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“…This paper proposes a fully coupled thermo‐hydro‐mechanical‐chemical (THM‐C) model for describing the coupling effect of water‐vapor‐heat movement and solute transport in variably‐saturated, deformable soil subjected to freeze‐thaw cycles, which have not been simultaneously considered in our previous studies (Huang et al., 2022; Huang & Rudolph, 2021, 2022). The model considers several crucial but commonly ignored physical processes such as cryosuction‐induced water flow, vapor migration and evaporation‐condensation, soil deformation, solute transport/adsorption, and freezing point depression.…”

Section: Introductionmentioning

confidence: 99%

Numerical Study of Coupled Water and Vapor Flow, Heat Transfer, and Solute Transport in Variably‐Saturated Deformable Soil During Freeze‐Thaw Cycles

Huang

Rudolph

2023

Water Resources Research

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As climate change intensifies, soil water flow, heat transfer, and solute transport in the active, unfrozen zones within permafrost and seasonally frozen ground exhibit progressively more complex interactions that are difficult to elucidate with measurements alone. For example, frozen conditions impede water flow and solute transport in soil, while heat and mass transfer are significantly affected by high thermal inertia generated from water‐ice phase change during the freeze‐thaw cycle. To assist in understanding these subsurface processes, the current study presents a coupled two‐dimensional model, which examines heat conduction‐convection with water‐ice phase change, soil water (liquid water and vapour) and groundwater flow, advective‐dispersive solute transport with sorption, and soil deformation (frost heave and thaw settlement) in variably saturated soils subjected to freeze‐thaw actions. This coupled multiphysics problem is numerically solved using the finite element method. The model's performance is first verified by comparison to a well‐documented freezing test on unsaturated soil in a laboratory environment obtained from the literature. Then based on the proposed model, we quantify the impacts of freeze‐thaw cycles on the distribution of temperature, water content, displacement history, and solute concentration in three distinct soil types, including sand, silt and clay textures. The influence of fluctuations in the air temperature, groundwater level, hydraulic conductivity, and solute transport parameters was also comparatively studied.The results show that (i) there is a significant bidirectional exchange between groundwater in the saturated zone and soil water in the vadose zone during freeze‐thaw periods, and its magnitude increases with the combined influence of higher hydraulic conductivity and higher capillarity; (ii) the rapid dewatering ahead of the freezing front causes local volume shrinkage within the non‐frozen region when the freezing front propagates downward during the freezing stage and this volume shrinkage reduces the impact of frost heave due to ice formation. This gradually recovers when the thawed water replenishes the water loss zone during the thawing stage; and (iii) the profiles of soil moisture, temperature, displacement, and solute concentration during freeze‐thaw cycles are sensitive to the changes in amplitude and freeze‐thaw period of the sinusoidal varying air temperature near the ground surface, hydraulic conductivity of soil texture, and the initial groundwater levels. Our modelling framework and simulation results highlight the need to account for coupled thermal‐hydraulic‐mechanical‐chemical behaviours to better understand soil water and groundwater dynamics during freeze‐thaw cycles and further help explain the observed changes in water cycles and landscape evolution in cold regions.This article is protected by copyright. All rights reserved.

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A hybrid analytical-numerical technique for solving soil temperature during the freezing process

Cited by 10 publications

References 28 publications

Modeling the Temperature Field in Frozen Soil under Buildings in the City of Salekhard Taking into Account Temperature Monitoring

Modeling the Temperature Field in Frozen Soil under Buildings in the City of Salekhard Taking into Account Temperature Monitoring

A Coupled Thermal‐Hydraulic‐Mechanical Approach to Modeling the Impact of Roadbed Frost Loading on Water Main Failure

Numerical Study of Coupled Water and Vapor Flow, Heat Transfer, and Solute Transport in Variably‐Saturated Deformable Soil During Freeze‐Thaw Cycles

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