ABSTRACT

Solving the anisotropy problem is inherently more difficult than solving the isotropy mainly because the number of variables in an anisotropy problem is several times more than that in an isotropy problem; the number of the independent components of a conductivity or permittivity tensor is six, and becomes three even considering only its principal components. Consequently, the anisotropy inverse problem needs much huger amounts of computation space and time and is more non-unique and unstable than the isotropy one. This implies that a stable and elegant algorithm of anisotropy inversion is prerequisite in order to get

additional useful information from the anisotropy of subsurface material.