Method for processing seismic data corresponding to acquisitions from a medium with azimuthal anisotropy

Method of processing seismic data corresponding to acquisitions carried out in a medium exhibiting azimuthal anisotropy, characterized in that for two sets of data corresponding, for one and the same seismic variable and for one and the same ground zone, to at least two different source/azimuth receiver pair sectors, an average between the data which correspond to the azimuth considered and data which correspond, for the same variable and the same ground zone, to a perpendicular azimuth sector is determined for each of the azimuths considered, and in that an estimate of the part common to the two sets thus obtained of averaged data is determined.