imulation of full responses of a triaxial induction tool n a homogeneous biaxial anisotropic formation

Triaxial induction tools are used to evaluate fractured and lowresistivity reservoirs composed of thinly laminated sand-shale sequences. Thinly laminated and fractured reservoirs demonstrate transversely isotropic or fully anisotropic biaxial anisotropic electrical properties. Compared to the number of studies on transverse isotropy, relatively little work covers biaxial anisotropy because of the mathematical complexity. We have developed a theoretical analysis for the full response of a triaxial induction tool in a homogeneous biaxial anisotropic formation. The triaxial tool is composed of three mutually orthogonal transmitters and three mutually orthogonal receivers. The bucking coils are also oriented at three mutually orthogonal directions to remove direct coupling. Starting from the space-domain Maxwell’s equations, which the electromagnetic EM fields satisfied, we obtain the spectral-domain Maxwell’s equations by defining a Fourier transform pair. Solving the resultant spectral-