Abstract
A new method for computing the transient electromagnetic behavior of a horizontally layered earth containing a two-dimensional cylindrical anomaly is presented. The vertical extent of the anomaly is assumed to be finite. Above and below the anomaly the electrical parameters are assumed to vary only in the vertical direction, whereas at the levels of the anomaly the electrical parameters are allowed to vary in two dimensions. The electromagnetic excitation is assumed to be polarized in the axial direction. Also, displacement current is not neglected. Two infinite electrical grids model the finite-difference approximations to Maxwell’s equations, one for a transverse-electric polarization and the other for a transverse-magnetic polarization. Unlike virtually all computational methods for geophysical electromagnetic models, the present work does not truncate the earth except at the levels where the anomaly exists. Instead, the theory of operator-valued transmission lines is used to represent the earth above ...
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