Abstract
We introduce the generic expressions for computing the gravitational field(potential and its radial derivative) generated by an arbitrary density (contrast) layerwith a variable depth and thickness having a laterally-distributed radial density variation.The information on the geometry and density distribution of a volumetric mass layer isdescribed by means of spherical harmonics. These generic expressions can uniformly beapplied to model all major known density structures within the Earth’s interior usingmethods for a spherical harmonic analysis and synthesis of the gravitational field. Thisis demonstrated on specific examples given for various density models commonly adoptedfor the approximation of crust density structures.
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