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A Hamiltonian approach to asymptotic seismic reflection and diffraction modelling
Author(s) -
Hanyga A.,
Druzhinin A.B.,
Dzhafarov A.D.,
Frøyland L.
Publication year - 2001
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.1365-2478.2001.00253.x
Subject(s) - paraxial approximation , computation , diffraction , ray tracing (physics) , hamiltonian (control theory) , amplitude , anisotropy , mathematical analysis , optics , physics , algorithm , computer science , mathematics , mathematical optimization , beam (structure)
A model‐independent Hamiltonian formulation of paraxial and diffracted ray‐tracing equations is presented. It is applied to asymptotic Green's function computations. The medium can have an arbitrary number of interfaces, possibly intersecting at diffracting edges and vertices. Continuously varying model parameters and anisotropy are allowed. The algorithm for elastic waves, involving accuracy control and amplitude computation, is implemented in a platform‐independent object‐orientated C++ package. Numerical tests and modelling examples are presented.