Application of a Hilbert Transform Method to the Interpretation of Surface‐vehicle Magnetic Data*

Abstract

The development of an alkali vapour vehicle borne magnetometer providing very high resolution and a high sampling rate has called for reconsideration of interpretation procedures. With continuous profiling at ground level, the close proximity to near surface structures requires that the precise interpretation of geological boundaries be of paramount importance. Rapid digital recording also demands efficient data processing. Both these requirements can be met by the method described. Essentially the method reduces to a simple Hilbert transform of the magnetic profile. The calculation provides an extremely well defined position of the contact and accurate specification of the dip, strike, depth of overburden, and magnetic susceptibility parameters. Particular advantages are tolerance to high frequency noise, independence from a predetermined origin and baseline, and freedom from subjective judgements.

Integrated gradient interpretation techniques for 2D and 3D gravity data interpretation

“…The basic concepts of the analytic signal method in 2D for magnetic data were extensively discussed by Nabighian (1972Nabighian ( , 1974Nabighian ( and 1984 and Green and Stanley (1975). Their counterparts, in the case of gravity data, have been introduced by Klingele et al (1991).…”

Sundararajan transform—an application to geophysical data analysis

“…There are many well-known methods for processing and interpretation of geophysical signals particularly employing integral transforms like Fourier, Hilbert, Mellin, Hartley etc. (Nabighian 1972, Green and Stanley 1975, Mohan et al 1982, Mohan et al 1986, Sundararajan and Ramabrahmam 1997, Sundararajan et al 1998). The method of Hilbert is simply based on the real roots of the function of potential field.…”

Integrating potential fields with remote sensing data for geological investigations in the Eljufra area of Libya

“…The basic concepts of the analytic signal method using 2D magnetic data were extensively discussed by Nabighian (1972Nabighian ( , 1974Nabighian ( , 1984 and Green and Stanley (1975). Roest et al (1992) showed that the amplitude (absolute value) of the 3D analytic signal at location (x, y) can be easily derived from the three orthogonal gradients of the total magnetic field.…”