A New Algorithm for Depth Determination from Total Magnetic Anomalies due to Spheres

Abstract

We have developed an automatic method to determine the depth of a buried sphere from numerical second horizontal derivative anomalies obtained from total field magnetic data. The method is based on using a relationship between the depth and a combination of observations at symmetric points with respect to the coordinate of the projection of the center of the source in the plane of the measurement points with a free parameter (graticule spacing). The problem of depth determination has been transformed into the problem of finding a solution of a nonlinear equation of f(z) = 0. Procedures are also formulated to determine the magnetic moment and the effective angle of magnetization. The method is applied to synthetic examples with and without random errors and tested on a field example from Senegal. In all cases, the depth solutions are in good agreement with the actual ones.

Advanced Potential Field Analysis Applied to Mise‐à‐la‐Masse Surveys for Leakage Detection

“…The upward continuation of the field is generally performed via Fourier transformation. An alternative powerful approach is the use of Continuous Wavelet Transform (CWT—Abdelrahman et al., 2008; Agarwal & Srivastava, 2009; Bhattacharya & Roy, 1981; Gibert & Pessel, 2001; Srivastava & Agarwal, 2010; Saracco et al., 2004).…”