Abstract
IN a paper to be published elsewhere, I have derived the ormula: where η is a measure of departure from chemical homogeneity at depth z in the Earth (here treated as spherically symmetrical); k, p and g denote the adiabatic incompressibility, pressure and intensity of gravitational attraction, and Φ is a function of the P and S seismic velocities. The index η is equal to unity where the Earth is chemically homogeneous, in accordance with a simpler formula1 developed in 1949; η exceeds unity where the chemical composition is varying with the depth z. An important property of η is that it is equal to the ratio of the actual value of dρ/dz (where ρ denotes density) to the value dρ/dz would take if the composition were unvarying.
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Bullen, K. E., Mon. Not. Roy. Astro. Soc., Geophys. Supp., 5, 355 (1949).
Bolt, B. A., Nature, 196, 122 (1962).
Jeffreys, H., Mon. Not. Roy. Astro. Soc., Geophys. Supp., 4, 498 (1939).
Bullen, K. E., Mon. Not. Roy. Astro. Soc., Geophys. Supp., 6, 50 (1950).
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BULLEN, K. Earth's Central Density. Nature 196, 973 (1962). https://doi.org/10.1038/196973a0
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DOI: https://doi.org/10.1038/196973a0
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