Heat Conduction Within an Elastic Earth
Abstract
We use theoretical results derived in a previous paper (Lanzano, 1986) to numerically evaluate the temperature profile and radial deformation within a spherical, elastic Earth due to heat generated by the decay of radiogenic elements. We consider only the Uranium family and have assumed the diffusivity of the silicate mantle to be K = 8 × 10^{3} cm^{2} s^{1}, the Poisson elastic ratio to be Σ = 0.25 and the coefficient of thermal expansion to be α = 2 × 10^{5} (deg)^{1}. Our series solutions when applied to the interiors of the Moon, Mercury, and Mars yield results in agreement with Kopal's (1963) evaluations.
 Publication:

Earth Moon and Planets
 Pub Date:
 October 1986
 DOI:
 10.1007/BF00057608
 Bibcode:
 1986EM&P...36..157L
 Keywords:

 Conductive Heat Transfer;
 Earth Mantle;
 Elastic Bodies;
 Geotemperature;
 Nuclear Heat;
 Radioactive Decay;
 Actinide Series;
 Deformation;
 Numerical Analysis;
 Temperature Distribution;
 Lunar and Planetary Exploration