The relationship between local wavenumber and analytic signal in magnetic interpretationLocal Wavenumber and Analytic Signal

Abstract Recently, a number of automated methods for source location from 2D (profile) magnetic data have been developed, based on either the local wavenumber (Thurston and Smith, 1997; Smith et al., 1998; Thurston et al., 2002; Salem et al., 2005; Smith and Salem, 2005) or the amplitude of the analytic signal (Hsu et al., 1996; Bastani and Pedersen, 2001; Salem and Ravat, 2003; Salem et al., 2004; Salem, 2005). The main advantage of using derived quantities such as the local wavenumber (LW) and amplitude of the analytic signal (AS) is that they are generally independent of source magnetization and dip effects, therefore allowing positional parameters such as depth and horizontal location to be determined more directly than from the magnetic field.