Identification of mass inhomogeneity from surface gravity anomalies*

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gravity Gradient, Mass Inhomogeneity

Scientific paper

A mathematical formulation of the problem of determining the shape of an object whose density differs from the surrounding medium is a fundamental generic problem in applied geophysics, and methods have been developed to treat it. In the present paper some uniqueness theorems are established and a linearization approximation is formulated for a 2-D case that assumes a particular form of the gravity gradient rather than an anomaly in the gravity itself. The 2-D case has certain peculiarities, so the uniqueness proof does not carry over to the 3-D case.

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