Geophysical application of a new surface integral equation method for EM modeling

We describe some 3-D electromagnetic (EM) geophysical applications of a new frequency-domain iterative surface integral equation (SIE) method. The new method is formulated by applying the scalar Green's theorem to the three Cartesian components of the magnetic field individually. The boundary conditions are implemented through iterations. The convergence behavior of the iteration is demonstrated explicitly through an example. Frequency-domain results for a number of simple geophysical models are given. The transient response of one model, obtained via inverse Fourier transform, is shown to be consistent with previously published results. The method is found to be stable for a wide range of conductivity contrasts and capable of giving reasonable descriptions of the EM response from the resistive limit up to the inductive limit.