Thsi paper deals with the profile reconstruction of the incomplete data from the deep Induction Tool （6FF40） using the distorted Born iterative method （DBIM） and an efficient numerical mode-matching （NMM） method for the conductivity distribution in a two-dimensional axisymmetric medium. In each iteration of DBIM

ill-condition problem can be improved by using the Tikhonov regularization method. NMM is applied to solve a forward solver. Meanwhile

the analytic expression of the integration in the nonlinear integral equation has been derived and then both the inversion of the efficiency and the accuracy improved dramatically. Some numerical simulation examples show that this method is useful for the interpretation of electrical logging data.