Two-dimensional finite-difference modeling of media with inclined uniaxial conductivity with an equivalent biaxial conductivity tensor for homogeneous TM-type wave propagation problems

The principle of numerically modeling the surface impedance of a homogeneous transverse magnetic (TM)-type plane wave incident upon an inhomogeneous half-space with inclined uniaxial electrical anisotropy as an equivalent half-space with fundamental electrical biaxial anisotropy is demonstrated. The self-consistent impedance method is introduced and shown to accurately model the surface impedance response of these two-dimensional (2-D) induction problems at low frequencies relevant to surface impedance geophysics, though there is inaccuracy in the surface impedance phase as the frequency is increased. While the impedance method has been introduced to demonstrate this modeling concept, the modeling principles introduced can be applied to other 2-D numerical methods.