Source-Side Deghosting Method Based On Green's Theorem: Synthetic and Field Data Applications

Author(s):  
J. Yang ◽  
A.B. Weglein
Geophysics ◽  
2013 ◽  
Vol 78 (2) ◽  
pp. WA77-WA89 ◽  
Author(s):  
James D. Mayhan ◽  
Arthur B. Weglein

Deghosting benefits traditional seismic processing and is a prerequisite to all inverse-scattering-series based processing. The freedom of choosing a convenient reference medium (and associated Green’s function) means Green’s theorem offers a flexible framework for deriving useful algorithms including deghosting. Among advantages over traditional deghosting methods are: (1) no need for Fourier transforms over receivers and sources, and (2) can accommodate a horizontal or non-horizontal measurement surface, the latter of particular interest for ocean bottom and onshore applications. The theory of Green’s theorem-derived deghosting is presented, and its first application on deep-water Gulf of Mexico synthetic (SEAM) and field data is reported. The source and receiver deghosting algorithms work with positive and encouraging results.


2017 ◽  
Author(s):  
Ikhsan Maulidi

In this paper, we studied inclusion problem with polynomials data in $R^3.$ We provided a Theorem that guaranted the solution of this problem. Moreover, by using standard potential theory, we approached the solution by using Green's Theorem.


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