scholarly journals Exact and Approximate Generalized Ray Theory in Vertically Inhomogeneous Media

1976 ◽  
Vol 46 (2) ◽  
pp. 201-233 ◽  
Author(s):  
C. H. Chapman
Keyword(s):  
Inhomogeneous Media ◽  
Ray Theory

Zero‐offset reflections from a curved interface

Geophysics ◽  
1986 ◽  
Vol 51 (1) ◽  
pp. 50-53 ◽  
Author(s):  
Bjørn Ursin
Keyword(s):  
Stationary Phase ◽  
Simple Formula ◽  
Inhomogeneous Media ◽  
Ray Theory ◽  
Approximate Computation ◽  
Kirchhoff Approximation ◽  
Complicated Structure ◽  
Zero Offset ◽  
Ray Methods ◽  
Curved Interface

Dynamic ray theory is used to compute the reflection response from a curved surface when the source and receiver are located at the same point. This response has also been computed by Cohen and Bleistein from the Helmholtz formula using the Kirchhoff approximation and the method of multidimensional stationary phase. The same approximation has been derived by Hilterman, and it may also be computed from a simple formula given by Hubral. Ray methods may be applied to the approximate computation of the reflection response from inhomogeneous media with complicated structure. This is not so easily done with methods based on the Kirchhoff approximation of the Helmholtz integral.

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