Table 7 Calculation Parameters.

Elastic modulus (MPa)

\(E\)

100

Volume heat capacity(J·kg⁻¹·°C⁻¹)

\(C\)

1.694 × 10⁶

Thermal conductivity (W·m⁻¹·°C⁻¹)

\(\lambda\)

9396

Hydraulic conductivity (m·s⁻¹)

\(K\)

1.157 × 10^–30

Diffusivity of unfrozen water (m²·s⁻¹)

\(D\)

9.35 × 10^− 6

Density of soil (kg·m⁻³)

\(\rho\)

2000

Density of water (kg·m⁻³)

\({\rho _w}\)

1000

Density of ice (kg·m⁻³)

\({\rho _i}\)

918

Latent heat of phase transition (kJ·kg⁻¹)

\(L\)

334.5

Soil porosity

\(n\)

0.3

Poisson’s ratio of undisturbed soil

\(\mu\)

0.3

Initial temperature (°C)

\(T_o\)

15

Initial volumetric water content(%)

\({\theta _0}\)

25

critical phase transition temperature (°C)

\({T_{trans}}\)

0

Solid-liquid ratio

\(B\)

0.47