The influence of the compressibility and sphericity of the mantle on the temperature distribution in various models of mantle convection is analyzed. A model providing a laterally averaged depth distribution of the temperature in the main part of the mantle is presented. This model is consistent with the data on the thermodynamic parameters of the mantle material and temperature values at the reference points determined using seismic data.
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Trubitsyn et al. (2020) studied this question.
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