Abstract: An improved method for the processing of data of seismic traces for the geophysical interpretation of the earth's subsurface employs deconvolution based on fractionally integrated white noise. A generalized form of deconvolution that more accurately models the earth's reflectivity applies the steps of (1) estimating the process order of the fractionally integrated noise model; (2) computing one or both of two correction filters based on the fractionally integrated noise model; and (3) applying one or both of the filters to the deconvolution processing of the seismic data. The resulting graphical displays based on the deconvolution processing more accurately portray the reflectivity and provide improved wavelet compression and signal resolution, thereby aiding in, and improving the interpretation of the subsurface strata.