Reconstructing seismic wavefields

Abstract

A technique includes receiving seismic data acquired in a seismic survey in the vicinity of a reflecting interface. The survey has an associated undersampled direction. The technique includes providing second data indicative of discrete samples of incident and reflected components of a continuous seismic wavefield along the undersampled direction and relating the discrete samples to a linear combination of the continuous incident and reflected seismic wavefields using at least one linear filter. Based on the relationship, an unaliased representation of the linear combination of the continuous incident and reflected seismic wavefields is constructed.

What is claimed is: 
     
         1 . A method comprising:
 designing a towed seismic survey having an associated undersampled direction, the designing comprising designing the survey to enhance reconstruction of a continuous seismic wavefield from data acquired in the survey along the undersampled direction.   
     
     
         2 . The method of  claim 1 , wherein the act of designing comprises:
 designing the survey based on a determinant calculated in the reconstruction.   
     
     
         3 . The method of  claim 1 , wherein the act of designing comprises designing a depth or crossline spacing of the survey. 
     
     
         4 . The method of  claim 1 , further comprising:
 conducting the designed survey.