Abstract: A device, medium and method for de-blending seismic data associated with a subsurface of the earth. The method includes receiving blended seismic data, wherein the blended seismic data includes traces having energies from two or more different shots that partially overlap; applying an apex-shifted radon transform (ASRT) to the blended seismic data to transform it from a first domain to a second domain; applying a mute processing for removing all shots except a first shot in the second domain; applying a reverse ASRT to the given shot to obtain the first shot in the first domain; and generating an image of the subsurface based on the first shot in the first domain. The procedure may be iteratively repeated to separate all shots.

Abstract: A computerized method where one provides first and second data sets, representative of the geological region of interest, each associating a signal to a bin of a four-dimensional input grid of the region of interest. Then one interpolates the first data set to determine both an interpolated first data set and interpolation operators. A residual between the second data set and the interpolated first data set is then determined. The residual is interpolated using said interpolation operators to determine an interpolated residual.

Abstract: A device, medium and method for de-blending seismic data associated with a subsurface of the earth. The method includes receiving blended seismic data, wherein the blended seismic data includes traces having energies from two or more different shots that partially overlap; applying an apex-shifted radon transform (ASRT) to the blended seismic data to transform it from a first domain to a second domain; applying a mute processing for removing all shots except a first shot in the second domain; applying a reverse ASRT to the given shot to obtain the first shot in the first domain; and generating an image of the subsurface based on the first shot in the first domain. The procedure may be iteratively repeated to separate all shots.