B. Bourgeois et al., Electric and magnetic dipoles for geometric interpretation of three-component electromagnetic data in geophysics, INVERSE PR, 16(5), 2000, pp. 1225-1261
We have developed a number of simple inverse models for rapid geometric int
erpretation of the low-frequency (diffusive) electromagnetic field scattere
d by a bounded 3D heterogeneity in a conductive background. These models, b
ased on the nature of the interaction of the source primary field with the
anomalous body in its environment, consist mainly of magnetic and electric
dipoles and their combinations, and of their respective finite-size equival
ents, i.e. closed and open current circuits (filaments). These 'equivalent-
source' models have been validated on synthetic data calculated with 'exact
' 3D modelling codes for different anomalous targets of canonical shapes (p
arallelepipeds and spheres). In this paper we present the practical applica
tion of our dipolar models in mineral exploration and discuss the reliabili
ty of each kind of information derived from them. In particular it is seen
that the 3D attitude of the target is always well retrieved, and that the 3
D location of its centre is accurate to within a few per cent of its distan
ce to the measuring profile. Though this specific inverse problem is genera
lly ill posed due to limited spatial coverage of the observation grid-a com
mon characteristic in geophysics-it is shown that in the near field of the
target the cases of non-uniqueness are scarce and controllable, as opposed
to what is expected in the Tar field.