Abstract
Temperature distributions within the mantle have been calculated by the modern theory of solid, on the assumptions that the thermal state is nearly stationary at present and there is only a conductive heat flow within the mantle. The main results obtained are as follows. Under the above assumptions, temperature distributions with γG less than 2.25 cannot be obtained in the B-layer (413-1000km). The ternperature gradient there is nearly constant and increases gradually with depth in the D-layer. (1000-2898 km).
Notations. ρ: density, ρ0: density at p=0 and T=0, p: pressure, T: temperature, r:distance from the earth's centre, g: acceleration of gravity, KT: isothermal bulk modulus, KS: adiabatic bulk modulus, α: coefficient of thermal expansion, γG: GRUNEISEN'S parameter, φ: KS/ρ, υp: velocity of P-wave, υs: velocity of 8-wave, A: mean atomic weight, N: LOSCHMIDT'S number, λ, μ, m, n, l: LAME'S constants, K: thermal conductivity, P: rate of generation of heat per unit volume, Cυ: specific heat at constant volume, Cp: specrfic heat at constant pressure, δ: constant relating to crystal structure.
