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, K
T: isothermal bulk modulus, KS: adiabatic bulk modulus, α: coefficient of thermal expansion, γ
G: GRUNEISEN'S parameter, φ: K
S/ρ, υ
p: velocity of P-wave, υ
s: 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, C
υ: specific heat at constant volume, C
p: specrfic heat at constant pressure, δ: constant relating to crystal structure.
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