Evolution of the earth with a nonferrous core

Mathematics

Scientific paper

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Earth Core, Earth Mantle, Mathematical Models, Planetary Evolution, Planetology, Density Distribution, Earth (Planet), Equations Of State, Gravitational Effects, Liquid Metals, Phase Transformations, Pressure Distribution

Scientific paper

A model for the formation of earth's core is examined in which the initial core consisted of a metallized metallogen and a nonmetallogen which formed as a result of a phase transition at the center of a homogeneous finished earth. An evolutionary scenario involving transition of the metallogen at the core-mantle boundary to the liquid metallic state and 'floating' of the nonmetallogen is analyzed on the assumptions that the earth is heated and that the nonmetallogen emerged instantaneously and uniformly from the whole surface of the core. Parameters of the equation of state are obtained for four mathematical models of the earth. For each model, calculations are carried out to determine: the metallogen fraction in the lower mantle; the density, pressure, and gravitational-acceleration distributions at four evolutionary stages; the dependence of central density on core mass; and the amounts of gravitational, elastic, thermal, and phase-transition energy expended during core formation.

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