Open AccessRapid 3‐D forward model of potential fields with application to the Palinuro Seamount magnetic anomaly (southern Tyrrhenian Sea, Italy)
Author(s) -
Caratori Tontini F.,
Cocchi L.,
Carmisciano C.
Publication year - 2009
Publication title -
journal of geophysical research: solid earth
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.67
H-Index - 298
eISSN - 2156-2202
pISSN - 0148-0227
DOI - 10.1029/2008jb005907
Subject(s) - magnetization , magnetic anomaly , geology , geophysics , discretization , convolution (computer science) , fourier transform , anomaly (physics) , seamount , physics , geodesy , magnetic field , statistical physics , mathematical analysis , mathematics , computer science , oceanography , condensed matter physics , quantum mechanics , machine learning , artificial neural network
We show a set of forward model equations in the Fourier domain for calculating the 3‐D gravity and magnetic anomalies of a given 3‐D distribution of density or magnetization. One property of the potential field equations is that they are given by convolution products, providing a very simple analytic expression in the Fourier domain. Under this assumption, the domain of the density or magnetization parameters is connected by a biunivoc relationship with the data space, and potential field anomalies can be seen as filtered versions of the corresponding density or magnetization distributions. A very fine spatial discretization can be obtained by using a large number of points within a unique 3‐D grid, where both the source distributions and field data are defined. The main advantage of this formulation is that it dramatically reduces execution times, providing a very fast forward model tool useful for modeling anomalies at different altitudes. We use this method to evaluate an average magnetization of 8 A / m for the Palinuro Seamount in the Tyrrhenian Sea (southern Italy), thus performing a joint interpretation of morphological and newly acquired magnetic data.