2D anisotropic inversion of multicomponent induction logging data

In this paper, we develop a rigorous 2D inverse algorithm that reconstruct transversely isotropic resistivity structure using multicomponent induction logging data. We first study how 2D anisotropy affects multicomponent induction logging measurements. Based upon these studies, we design a objective function that includes invasion zone length and resistivity, and horizontal and vertical formation resistivity. To reduce trade-off and nonuniqueness of the inversion, we predetermine bed boundaries from petrophysical and wireline measurements and keep these bed boundaries fixed during the inversion. We correct the initial model based upon the data misfit. The model is accepted when the misfit drops to the desired level. We test our algorithm on both synthetic and field data sets.