Abstract
The aim of this study was to enhance the accuracy of predicting the temperature field of frozen soil and to reduce the workload of thermal parameter testing. To achieve this, we employed a three-phase model comprising soil, water, and ice. The unfrozen water content in frozen soil at varying temperatures was determined using nuclear magnetic resonance spectroscopy (NMR), while the thermal conductivity was measured by a thermal characteristic analyzer. A matlab software-based random model of the frozen soil was then established and imported into COMSOL simulation software. The repeatability and reproducibility of the established model were verified by varying the proportions of pore water and frozen ice to determine the degree of simulation accuracy.The results demonstrated that the unfrozen water content maintained a dynamic equilibrium relationship with temperature, which influenced the thermal conductivity of frozen soil. The simulation results were consistent with those obtained from instrument measurements of trends with respect to temperature. The average PBIAS value between the calculated and measured values was 0.0139, indicating theoretical feasibility. Comparison with experimental data confirmed the effectiveness of our approach, providing a novel concept and a simple method for predicting the temperature field of frozen soil engineering in areas that experience seasonal freezing.
References
1.
Kumar
, S.
, and Murugesan
, K.
, 2022
, “Experimental Study of Heat Extraction and Soil Recovery During Space Heating Application Using Ground Source Heat Pump System
,” ASME J. Therm. Sci. Eng. Appl.
, 14
(11
), p. 111004
. 2.
Hiraiwa
, Y.
, and Kasubuchi
, T.
, 2000
, “Temperature Dependence of Thermal Conductivity of Soil Over a Wide Range of Temperature (5–75℃)
,” Eur. J. Soil Sci.
, 51
(2
), pp. 211
–218
. 3.
Sepaskhah
, A. R.
, and Boersma
, L.
, 1979
, “Thermal Conductivity of Soils as a Function of Temperature and Water Content
,” Soil Sci. Soc. Am. J.
, 43
(3
), pp. 439
–444
. 4.
Dong
, Y.
, McCartney
, J. S.
, and Lu
, N.
, 2015
, “Critical Review of Thermal Conductivity Models for Unsaturated Soils
,” Geotech. Geol. Eng.
, 33
(2
), pp. 207
–221
. 5.
Ghanbarian
, B.
, and Daigle
, H.
, 2016
, “Thermal Conductivity in Porous Media: Percolation-Based Effective-Medium Approximation
,” Water Resour. Res.
, 52
(1
), pp. 295
–314
. 6.
Zhang
, N.
, and Wang
, Z.
, 2017
, “Review of Soil Thermal Conductivity and Predictive Models
,” Int. J. Therm. Sci.
, 117
, pp. 172
–183
. 7.
Chen
, Z. X.
, Guo
, X. X.
, Shao
, L. T.
, and Li
, S. Q.
, 2020
, “On Determination Method of Thermal Conductivity of Soil Solid Material
,” Soils Found.
, 60
(1
), pp. 218
–228
. 8.
Nicolas
, J.
, André
, P.
, Rivez
, J. F.
, and Debbaut
, V.
, 1993
, “Thermal Conductivity Measurements in Soil Using an Instrument Based on the Cylindrical Probe Method
,” Rev. Sci. Instrum.
, 64
(3
), pp. 774
–780
. 9.
Alrtimi
, A.
, Rouainia
, M.
, and Manning
, D. A. C.
, 2014
, “An Improved Steady-State Apparatus for Measuring Thermal Conductivity of Soils
,” Int. J. Heat Mass Transfer
, 72
, pp. 630
–636
. 10.
Kersten
, M. S.
, 1949
, “Laboratory Research for the Determination of Thermal Properties of Soils
,” ACFEL Technical Report 23. University of Minnesota
, Minneapolis
.11.
Salomone Lawrence
, A.
, Kovacs William
, D.
, and Kusuda
, T.
, 1984
, “Thermal Performance of Fine-Grained Soils
,” J. Geotech. Eng.
, 110
(3
), pp. 359
–374
. 12.
Overduin
, P. P.
, Kane
, D. L.
, and van Loon
, W. K. P.
, 2006
, “Measuring Thermal Conductivity in Freezing and Thawing Soil Using the Soil Temperature Response to Heating
,” Cold Reg. Sci. Technol.
, 45
(1
), pp. 8
–22
. 13.
Johansen
, O.
, 1977
, “Thermal Conductivity of Soils
,” Ph.D. thesis
, Trondheim University
, Trondheim, Norway
.14.
Wang
, E. L.
, Jiang
, H. Q.
, Cui
, E. T.
, Xie
, F.
, and Xiao
, Y.
, 2018
, “Study on the Effect of Freezing and Thawing on Thermal Conductivity of Remolded Clay
,” K. Cheng Je Wu Li Hsueh Pao/J. Eng. Thermophys.
, 39
(4
), pp. 871
–879
.15.
He
, H.
, Flerchinger
, G. N.
, Kojima
, Y.
, Dyck
, M.
, and Lv
, J.
, 2021
, “A Review and Evaluation of 39 Thermal Conductivity Models for Frozen Soils
,” Geoderma
, 382
, p. 114694
. 16.
Liu
, L.
, He
, H.
, Dyck
, M.
, and Lv
, J.
, 2021
, “Modeling Thermal Conductivity of Clays: A Review and Evaluation of 28 Predictive Models
,” Eng. Geol.
, 288
, p. 106107
. 17.
Lyu
, C.
, Sun
, Q.
, Zhang
, W.
, and Geng
, J.
, 2020
, “A Predictive Model for the Thermal Conductivity of Silty Clay Soil Based on Soil Porosity and Saturation
,” Arab. J. Geosci.
, 13
(8
), p. 312
. 18.
Fiala
, L.
, Jerman
, M.
, Reiterman
, P.
, and Černý
, R.
, 2017
, “Determination of Thermal Conductivity of Silicate Matrix for Applications in Effective Media Theory
,” Int. J. Thermophys.
, 39
(2
), p. 28
. 19.
Baragh
, S.
, Shokouhmand
, H.
, Ajarostaghi
, S. S. M.
, and Nikian
, M.
, 2018
, “An Experimental Investigation on Forced Convection Heat Transfer of Single-Phase Flow in a Channel With Different Arrangements of Porous Media
,” Int. J. Therm. Sci.
, 134
, pp. 370
–379
. 20.
Fricke
, H.
, 1925
, “A Mathematical Treatment of the Electric Conductivity and Capacity of Disperse Systems ii. The Capacity of a Suspension of Conducting Spheroids Surrounded by a Non-Conducting Membrane for a Current of Low Frequency
,” Phys. Rev.
, 26
(5
), pp. 678
–681
. 21.
Webb
, J.
, 1956
, “Thermal Conductivity of Soil
,” Nature
, 178
(4541
), pp. 1074
–1075
. 22.
Behroozmand
, A. A.
, Keating
, K.
, and Auken
, E.
, 2015
, “A Review of the Principles and Applications of the NMR Technique for Near-Surface Characterization
,” Surv. Geophys.
, 36
(1
), pp. 27
–85
. 23.
Ren
, Z.
, Liu
, J.
, Jiang
, H.
, and Wang
, E.
, 2023
, “Experimental Study and Simulation for Unfrozen Water and Compressive Strength of Frozen Soil Based on Artificial Freezing Technology
,” Cold Reg. Sci. Technol.
, 205
, p. 103711
. 24.
Zhang
, P.
, Ma
, Z. W.
, Shi
, X. J.
, and Xiao
, X.
, 2014
, “Thermal Conductivity Measurements of a Phase Change Material Slurry Under the Influence of Phase Change
,” Int. J. Therm. Sci.
, 78
, pp. 56
–64
. 25.
Gurra
, E.
, Iasiello
, M.
, Naso
, V.
, and Chiu
, W. K. S.
, 2023
, “Numerical Prediction and Correlations of Effective Thermal Conductivity in a Drilled-Hollow-Sphere Architected Foam
,” ASME J. Therm. Sci. Eng. Appl.
, 15
(4
), p. 041002
. 26.
Anderson
, D. M.
, and Tice
, A. R.
, 1972
, “Predicting Unfrozen Water Contents in Frozen Soils From Surface Area Measurements
,” Highw. Res. Rec.
, 393
(2
), pp. 12
–18
. 27.
El-Maghlany
, W. M.
, Bedir
, A. E.-R.
, Elhelw
, M.
, and Attia
, A.
, 2019
, “Freeze-Drying Modeling via Multi-Phase Porous Media Transport Model
,” Int. J. Therm. Sci.
, 135
, pp. 509
–522
. 28.
Xizhong
, Y.
, Ning
, L.
, and Xiuyun
, Z.
, 2010
, “Study of Thermal Conductivity Model for Unsaturated Unfrozen and Frozen Soils
,” Rock Soil Mech.
, 31
(9
), pp. 2689
–2694
. 29.
Balland
, V.
, and Arp
, P. A.
, 2005
, “Modeling Soil Thermal Conductivities Over a Wide Range of Conditions
,” J. Environ. Eng. Sci.
, 4
(6
), pp. 549
–558
. 30.
Jankowfsky
, S.
, Branger
, F.
, Braud
, I.
, Rodriguez
, F.
, Debionne
, S.
, and Viallet
, P.
, 2014
, “Assessing Anthropogenic Influence on the Hydrology of Small Peri-Urban Catchments: Development of the Object-Oriented PUMMA Model by Integrating Urban and Rural Hydrological Models
,” J. Hydrol.
, 517
, pp. 1056
–1071
. 31.
Chen
, C.
, Xu
, D.
, Li
, W.
, Li
, W.
, Yao
, L.
, and Zhang
, B.
, 2018
, “Study on Thermal Conductivity Based on the Three-Component Reconstruction Model
,” For. Eng.
, 34
(3
), pp. 74
–78
. 32.
Lu
, S.
, Ren
, T.
, Gong
, Y.
, and Horton
, R.
, 2007
, “An Improved Model for Predicting Soil Thermal Conductivity From Water Content at Room Temperature
,” Soil Sci. Soc. Am. J.
, 71
(1
), pp. 8
–14
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