We advance a fast parameterized inversion algorithm to simultaneously reconstruct the horizontal and vertical conductivities, the interface depth each bed from the multicomponent induction logging (MCIL) data in horizontal layered TI formations. Applying transmission line method (TLM) gives the analytic solution of tensor Green's function in the frequency-wavenumber domain. The perturbation equations are derived about the changes in responses of MCIL caused by perturbation in model parameters. The computations of the Sommerfeld integrals are solved by the cubic spline interpolation and the recursive formulae of Bessel function. As a result, it is set up the fast computation of the MCIL responses and their Frechet derivative with respective to all model vectors. Finally, we iteratively reconstruct all the model parameters to realized the best fit of the input logging data with the modeling data by the normalization of Frechet derivative and singular-value-decomposition (SVD). Theoretical inversion results validate the inversion method and its anti-noise ability.
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