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The processing algorithms for high-frequency induction resistivity data are applied to logs acquired at different stages of well construction. Open-hole induction logging while reaming of vertical wells provides a priori information on geology and resistivity distribution. The resulting resistivity model can make reference in geosteering for deviated and horizontal drilling. Algorithms for inversion of high-frequency induction responses from layered media are used in a software package for processing LWD data. The software provides real-time inversion to recover resistivities and depths to layers in oil and gas reservoirs penetrated by wells of a complex trajectory. It also allows checking the inversion quality by analyzing the sensitivity of tool responses to model parameters with reference to the tool specifications.