
Interpreting magnetic data by integral moments
Author(s) -
Tontini F. Caratori,
Pedersen L. B.
Publication year - 2008
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.2008.03872.x
Subject(s) - magnetization , magnetic anomaly , volcano , geology , moment (physics) , distribution (mathematics) , method of moments (probability theory) , geophysics , field (mathematics) , statistical physics , physics , magnetic field , mathematics , seismology , mathematical analysis , statistics , classical mechanics , quantum mechanics , estimator , pure mathematics
SUMMARY The use of the integral moments for interpreting magnetic data is based on a very elegant property of potential fields, but in the past it has not been completely exploited due to problems concerning real data. We describe a new 3‐D development of previous 2‐D results aimed at determining the magnetization direction, extending the calculation to second‐order moments to recover the centre of mass of the magnetization distribution. The method is enhanced to reduce the effects of the regional field that often alters the first‐order solutions. Moreover, we introduce an iterative correction to properly assess the errors coming from finite‐size surveys or interaction with neighbouring anomalies, which are the most important causes of the failing of the method for real data. We test the method on some synthetic examples, and finally, we show the results obtained by analysing the aeromagnetic anomaly of the Monte Vulture volcano in Southern Italy.