Analytical Solution of Three-Dimensional Heaving Displacement of Ground Surface during Tunnel Freezing Construction Based on Stochastic Medium Theory

Table 2

Parameters of soil.

Parameters	Value
Density ρ	1958 kg/m^3
Dry density ρd	1489 kg/m^3
Thermal conductivity of frozen soil kf	31.5 kcal/(m·d·°C)
Thermal conductivity of unfrozen soil ku	25.7 kcal/(m·d·°C)
Specific heat of frozen soil cf	0.30 kcal/(kg·°C)
Specific heat of unfrozen soil cu	0.45 kcal/(kg·°C)
Water content	23.0%
Unfrozen water content	1.0%
Freezing point Td	0°C
Surface temperature of freezing pipe Tc	−25°C
Initial temperature of soil T0	20°C
Frost heave ratio εf	0.56%