Green’s theorem deghosting algorithms in (k,omega) (e.g., P-Vz deghosting) as a special case of (x,omega) algorithms (based on Green’s theorem) with: (1) significant practical advantages and disadvantages of algorithms in each domain, and (2) a new message, implication and opportunity for marine towed streamer, ocean bottom and on-shore acquisition and applications

This paper is examining the implications and differences of Green’s theorem derived methods for deghosting in (x,w) and (k,w). Substituting for P, a relationship with V, in the (k,w) method, and benefits and limitations that arise from that substitution (while important) are not within the scope of this paper. We point out how industry standard P-V, deghosting (in k,w) can be derived from Green’s theorem deghosting (in x,w). We discuss the advantages and disadvantages of deghosting methods for each domain. For example, the Green’s theorem deghosting in (x,w) can accommodate an arbitrary measurement surface, whereas P-V, deghosting requires the source and field locations to be on a horizontal measurement surface. We discuss the implications of each deghosting/wavefield separation method for towed-streamer, ocean-bottom and on-shore acquisition.
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