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

For each pair of corresponding data sets, for the same seismic variable and for the same zone, at least two sectors of source/receiver combinations of differing azimuth, for each azimuth considered, a mean is determined between the data corresponding to the azimuth considered and the data corresponding, for the same variable and zone, to a sector of the perpendicular azimuth. The common part of the two sets of mean data so obtained is estimated : The data set corresponding with an estimate of the common part of the two data sets is subtracted from the summed data sets. A set of data corresponding with a sector of an azimuth is subtracted from a set of data corresponding with a perpendicular azimuth sector. Polarity of one of the two sets of residual data so obtained is reversed. An estimate of the common part of the inverse set is determined. Statistical filtration techniques are used.