Magnetic Dipole Inversion of Noisy Two-Layer Earth Data Using A Digital Linear Filter

Abstract

In this paper, we investigate the problem of inverting a two-layer earth when the probing (by simulation) is carried out by vertical magnetic dipoles and the received signal is contaminated by noise. The mutual impedance between two probes is formulated in terms of a set of unknown parameters of the medium. The search for these parameters is then carried out until the response of the trial medium agrees, within a certain tolerance, with the received response. The search procedure is based on iterative optimization techniques, and the Hankel transform integrals are evaluated using techniques of the digital linear filter theory.