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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
ARTHUR B. WEGLEIN1 ,
JAMES D. MAYHAN1 ,
LASSE AMUNDSEN2 ,
HONG LIANG1 ,
JING WU1 ,
LIN TANG1 ,
YI LUO3 ,
QIANG FU1
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1
M-OSRP, University of Houston, 617 Science & Research Bldg. 1, Houston, TX, 77004-5005, U.S.A. aweglein@central.uh.edu,
2
Statoil Research Centre, Norway, and The Norwegian University of Science and Technology, Dept. of Petroleum Engineering and Applied Geophysics, Trondheim, Norway. lam@statoil.com,
3
Saudi Arabian Oil Company, EXPEC Advanced Research Center, Dhahran, Saudi Arabia. yi.luo@aramco.com,
JSE 2013, 22(4), 389–412;
Submitted: 9 June 2025 | Revised: 9 June 2025 | Accepted: 9 June 2025 | Published: 9 June 2025
© 2025 by the Authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract
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.
Keywords
deghosting
offshore processing
on-shore processing
Green’s theorem
pre-processing
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