Inversion for tilted triaxial conductivity in dipping layered formations

In this paper, a one-dimensional inversion method is presented to determine tilted triaxial conductivity in a dipping layered formation using triaxial induction measurements. The tilted triaxial conductivity is described by three conductivity components and three Euler angles. The inversion problem is solved with the Gauss-Newton method combined with the multiplicative regularization technique. There are six principal coordinate systems that can give the same conductivity tensor. Permutation is performed to eliminate the ambiguity of inversion results caused by the ambiguity of the principal coordinate system. Three new Euler angles after permutation for each layer can be found by solving a nonlinear equation.