We have improved the integral equation method for modeling 3D electromagnetic fields by using the separability of its inherent 3×3 dyadic Green's tensors. Conventional integral equation approaches exhibit a quadratic dependence on model size, at least for the vertical dimension. In contrast, our approach has a linear dependence on all three dimensions. We tested our method on an example of induction logging in deviated boreholes.
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Avdeev et al. (2009) studied this question.
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