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Media exhibiting horizontal transverse isotropy (HTI) are usually associated with an oriented stress field or open fractures. Seismic reflection traveltimes beneath such media vary with the source-receiver azimuth. Firstly, we present a P-wave seismic processing method which simultaneously scans for three characteristic HTI parameters to optimize the moveout correction of narrow azimuth (NAZ) CMP gathers, where multi-azimuth (MAZ) techniques like sectoring are unsuitable. Secondly, we extend the method to detect the fracture direction and to run the automatic analysis on 3D super-gathers. Finally, we apply to a marine multi-source/streamer NAZ data demonstrates the effectiveness of this method.