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Apparent Resistivity Correction For Tensor Induction Well Logging In a Deviated Well In an Anisotropic Medium

In this paper we study the principles of tensor induction well logging (TIWL) in a deviated well in an anisotropic medium. We examine the theoretical formulae for the tensor apparent conductivities of the transverse anisotropic medium, developed for an ideal tensor induction instrument with coinciding positions of three mutually orthogonal transmitters at one point and all three receivers at the other point in a borehole. We demonstrate that these formulae can be corrected for practical instrument design, where, due to technical reasons, transmitter coils with different orientations are spatially separated and receiver coils are spatially separated as well. We introduce the corrected formulae for a practical TIWL instrument. The numerical study shows that, for different deviation angles and for different anisotropy values, the corrected apparent conductivities are practically the same as the theoretical apparent parameters.