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Fast modelling of marine surface multiples
Author(s) -
Taylor David B.
Publication year - 2002
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1046/j.1365-2478.2002.00321.x
Subject(s) - multiple , seismogram , computation , surface (topology) , reflection (computer programming) , plane (geometry) , computer science , basis (linear algebra) , algorithm , differential equation , construct (python library) , source function , function (biology) , basis function , mathematics , geology , computational science , mathematical analysis , physics , geometry , seismology , arithmetic , evolutionary biology , astrophysics , biology , programming language
In the development and testing of water‐surface multiple‐removal algorithms, it is valuable to have accurate synthetic seismograms which exhibit multiples, for which the multiple‐free solution is known. A method is presented for constructing 2D and 3D solutions of the acoustic wave equation in water, by combining the solution from a primary source with other scaled solutions of secondary sources, which simulate diffractors. The computation involves function evaluation rather than numerical solution of differential equations and is consequently accurate and comparatively fast. The analytic formulae on which the method is based give insights into methods for multiple removal. Generalized reflection coefficients, defined on a horizontal plane above the diffractors, are derived and used to construct the integral equations which are the basis for many multiple‐removal schemes.