Next: About this document ...
Up: Sava: Riemannian wavefield extrapolation
Previous: Mixed domain
The pseudoscreen solution to equation (9)
derives from a fourthorder expansion of the squareroot
around (a_{0},b_{0}) and (a,b):
 

 (30) 
If we subtract equations (30), we obtain:
 

 (31) 
We can make the notations
 
(32) 
 (33) 
therefore equation (31) becomes
 
(34) 
With the approximation
 
(35) 
we can write
 
(36) 
If we make the notations
 
(37) 
we obtain the mixeddomain Fourier finitedifferences
solution to the oneway wave equation in Riemannian coordinates:
 
(38) 
Next: About this document ...
Up: Sava: Riemannian wavefield extrapolation
Previous: Mixed domain
Stanford Exploration Project
10/23/2004