and are the thermal conductivities of soil under saturated and dry states, respectively, W/(m3°C); and are the thermal conductivities of water and soil, respectively, W/(m3°C); Sr is the degree of saturation ; is the bulk density, kg/m3
κ is a parameter related to the effect of the soil type on the relationship between Ke and Sr; the suggested value is 4.6 for crushed granite, 3.55 for sand, and 1.9 for silt and clay; χ and η are the material parameters accounting for the particle shape effect; the values of χ and η are 1.7 and 1.8 for crushed rocks, 0.75 and 1.2 for natural mineral soils, and 0.3 and 0.87 for organic fibrous soil, respectively
ψ and ϕ are the shape factors of the Keq (θ) curve; γd is the dry volume weight of soil in KN/m3, and γd = ρb·;Csand and Csilt are the mass fractions of sand and silt particles, respectively, %; Com is the mass ratio of organic matter, %