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Authors: | Caratori Tontini, F. | Title: | Magnetic-anomaly Fourier spectrum of a 3D Gaussian source | Journal: | Geophysics | Series/Report no.: | 70 (2005) | Publisher: | SEG | Issue Date: | Jan-2005 | Keywords: | magnetic methods | Subject Classification: | 04. Solid Earth::04.02. Exploration geophysics::04.02.04. Magnetic and electrical methods | Abstract: | I obtain a closed-form expression for the total-field magnetic anomaly generated by a 3D Gaussian magnetization distribution. The solution is evaluated by a novel contour integration in the complex-wavenumber domain. The spatial-domain solution is then computed by a numerical inverse Fourier transform. This calculated field can be used to interpret magnetic data because a 3D Gaussian function can represent a compact and smooth source. The method, moreover, allows for calculation of the Fourier components as a function of the distance between the depth of the source and the height of the observation level. The solution is thus use-ful for the inverse problem, spectral analysis, or data continuation. |
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