Two-Dimensional inversion of triaxial induction logging data in transversely isotropic formation

In this paper, we present a two-dimensional inversion method for triaxial induction logging data in a layered and transversely isotropic formation with invasion. With a triaxial transmitter and receiver, all nine components of the apparent resistivity tensor can be measured, making it possible to invert for the resistivity in the vertical direction. We choose the Gauss-Newton method as the inversion engine and use the multiplicative regularization method to determine the damping coefficient automatically. Different line search methods are studied, and their influences on the convergence are discussed. Two synthetic examples are presented to demonstrate the capability and performance of the inversion algorithm.