GNGTS 2015 - Atti del 34° Convegno Nazionale

upward continuation of the original survey. The vertical sounding is central with respect to the layers volume, so yielding a 1D density/magnetization distribution at depth. Inspired by this method, in this work we propose the inversion of multiple one-dimensional vertical gravity/magnetic soundings. The major change that we made to the existing 1D method of Fedi and Rapolla (1990) consists in extracting the soundings are at different horizontal positions, and no more just at the centre of the volume. We tested our method by analyzing both synthetic perfect data, to simulate data measured at different levels, and upward continued data. Method. The basic idea is that the vertical distributions of density and/or magnetization could be deduced by the field known at different heights. We started from the relation defining the gravitational field generated at a point P ( x k , y k , z k ) by a distribution of mass density ρ ( r - ) in a volume V . (1) where γ is the gravity constant and (2) If the density varies just vertically: Fig. 1 – Vertical variations of gravity field (a) and of the apparent density (b) of a two-layered source (c) with an upper layer more dense (case A) or lesser dense (case B) (from Fedi and Rapolla, 1990). GNGTS 2015 S essione 3.3 167