Effects of Influence Parameters on Freezing Wall Temperature Field in Subway Tunnel
Abstract
:1. Introduction
2. Freezing Wall Temperature Field
2.1. Formation Process of Frozen Wall
2.2. Freezing Wall Temperature Field
2.3. Horizontal Analysis of Temperature Field
3. Computational Model
3.1. Basic Assumptions
- (1)
- The stratum is an isotropic elastoplastic body with independent thermal parameters in the freeze-thaw state;
- (2)
- The loss of cooling capacity is perpendicular to the direction of the freezing tube, regardless of the loss along the direction of the freezing tube;
- (3)
- The temperature around the freezing tube is evenly distributed. Considering the temperature loss of low-temperature circulating brine, the temperature of the cold source applied at the location of the freezing tube is 2 °C higher than the actual low-temperature brine temperature;
- (4)
- Considering the heat conduction and ice-water phase transition effect of the cold in the stratum, the convection and heat radiation caused by temperature is ignored, the unfrozen water content is taken as a function of temperature, the latent heat calculated from the unfrozen water content is only in the phase transition temperature range internally generated, and the temperature range of the stratum phase transition is taken from [−1~0] °C;
- (5)
- Regardless of the effect of construction on the stratum freezing, it is assumed that the outer boundary away from the frozen wall area of the geometric model is an adiabatic boundary;
- (6)
- Assuming that the density ρ, the specific heat capacity c, and the thermal conductivity λ are all constant, only the freezing and thawing state of the formation is considered.
3.2. Calculation Model and Parameters
4. Discussion
4.1. Influence of Brine Temperature
4.2. Influence of Freezing Pipe Diameter
4.3. Influence of Freezing Pipe Spacing
4.4. Influence of Soil Water Content
4.5. Comparison of Numerical Simulation and Field Monitoring Data
4.6. Engineering Suggestions
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
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Parameters | Freezing Soil | Unfreezing Soil | ||
---|---|---|---|---|
Temperature/°C | −28 | −1 | 0 | 28 |
Thermal conductivity/(W·m−1·K−1) | 1.17 | 1.17 | 1.07 | 1.07 |
Specific heat/(kJ·kg·°C−1) | 1.45 | 1.45 | 1.69 | 1.69 |
Density/(kg·m3) | 1800 | 1800 | 1850 | 1850 |
Serial Number | Category (Name) | Thickness h (m) | Weight (kN/m3) | Water Content w (%) | Plastic Limit wL | Liquid Limit wP | Permeability Coefficient k (m/d) | Internal Friction Angle | Cohesion | Compression Modulus |
① | Miscellaneous fill | 1.30 | 17.8 | 13.6 | 1.78 | 7.08 | 2.3 | 16.5 | 10.5 | 14.3 |
② | clay | 1.70 | 18.0 | 31.5 | 3.32 | 26.42 | 0.004 | 21.8 | 8 | 14.4 |
③ | Silty clay | 4.13 | 19.2 | 36.7 | 16.96 | 29.16 | 0.08 | 22.2 | 12 | 4.09 |
④ | Silt | 4.87 | 19.0 | 34.2 | 4.15 | 9.75 | 0.3 | 24.6 | 23 | 10.5 |
⑤ | Silty clay | 15.2 | 18.6 | 29.7 | 4.75 | 22.55 | 0.06 | 23.1 | 34 | 11.6 |
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Zhao, Y.; Wei, Y.; Jiang, J.; Jin, H. Effects of Influence Parameters on Freezing Wall Temperature Field in Subway Tunnel. Sustainability 2022, 14, 12245. https://doi.org/10.3390/su141912245
Zhao Y, Wei Y, Jiang J, Jin H. Effects of Influence Parameters on Freezing Wall Temperature Field in Subway Tunnel. Sustainability. 2022; 14(19):12245. https://doi.org/10.3390/su141912245
Chicago/Turabian StyleZhao, Yanxi, Youxin Wei, Jingshan Jiang, and Hua Jin. 2022. "Effects of Influence Parameters on Freezing Wall Temperature Field in Subway Tunnel" Sustainability 14, no. 19: 12245. https://doi.org/10.3390/su141912245