The Earth density and its effect on geoid has long been a topic of wide interest and studied by many researchers. In practice the common density of 2.67 g per cubic cm was used widely in the geoid computation. Works to produce a more realistic model are actively been pursued lately. The first attempt of such model was known as Preliminary Reference Earth Model (PREM). It was jointly put forward by Dziewonski and Anderson way back in 1981.
The seminal publication of PREM can be downloaded here - researchgate.
PREM - Journal of Physics of the Earth & Planetary Interior, 1981
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