Uniqueness Theorems for Inverse Gravimetric Problems

摘要: The inverse gravimetric problem, namely the determination of internal density distribution a body from exterior gravity field, is known to have very large indeterminacy while it well identified and described in functional terms. However, when models are strongly reduced simple classes, or subspaces, uniqueness property inversion retrieved. Uniqueness theorems proved for three cases Cartesian approximation: ∙ recovery interface between two layers laterally varying distribution, model, given geometry problem (topography depth compensation) vertical gradient density, at sea level.