3D integral equation modeling with a linear dependence on dimensions

Abstract

Abstract 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.