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On the quantitative interpretation of magnetic anomalies by pseudo-gravimetric integration.
Authors:Maurizio Fedi
Institution:Dipartimento di Geofisica e Vulcanologia, Largo S. Marcellino, 10-Napoli, Italy
Abstract:Poisson's theorem relates linearly the derivative of the gravity potential (taken along the total magnetization vector direction) and the magnetic potential due to a common, isolated source with constant density and magnetization distributions.
From that theorem, two very useful functional transformations for magnetic anomalies were formulated by Baranov, that is the 'pseudo-gravimetric integration' and the 'reduction to the pole'.
In this paper, it is shown that the first transformation is, in some sense, more useful than the reduction to the pole and, further, that its utilization presents noticeable advantages as regards the interpretation of magnetic anomalies. In fact, the pseudo-gravimetric integration, in contrast to the reduction to the pole, also provides a smoothing of the anomaly map and, in particular, reduces the degree of non-linearity existing in the mathematical relationship between the data and the source depth.
In order to show this last property of the transformation, spectral expansion inversions by 21/2D structures were performed on both magnetic and pseudo-gravimetric synthetic anomalies and the respective speed and precision were compared. The tests clearly indicate that very accurate estimates of the geometric parameters of the known source can be more easily and rapidly calculated by the transformed anomalies. Furthermore, due to its smoothing property, the method seems particularly useful when data are noisy. Tests on real anomalies confirm these results.
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