A conjugate gradient relaxation method is employed in seeking an iterative
solution to a particular 3-D electromagnetic inverse problem. The problem,
which is non-linear, is that of modelling observed magnetic fluctuation res
ponse functions by a thin-sheet earth structure. The method optimizes data
misfit and model roughness, and starting from a base model designed on know
n geology produces a series of improved models. Established thin-sheet algo
rithms are employed to compute the model responses and sensitivity, and uti
lization of a parallel computing system enables reasonable execution times.
The method is demonstrated by inverting data generated for a synthetic exa
mple. Gaussian noise is added to the synthetic data.
The inversion scheme has been applied to geomagnetic induction data which h
ave been recorded widely on the Australian continent. Highly conductive str
uctures in models given by the inversion method confirm regional conductivi
ty anomalies indicated by induction arrow patterns, and give more quantitat
ive information about them. The method appears to work well in areas of str
ong conductivity contrast such as coastlines.