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Minimizing the objective function J in Equation (19)
involves solving a nonlinear leastsquares problem
using the gradient given by Equation (25).
Alternatively, we can linearize the wavefield with respect to
a reference wavefield
 
(30) 
and optimize
 
(31) 
which is a linear leastsquares problem.
Equation (31) can also be represented by
fitting goals using the usual SEP terminology as:
 
(32) 
which takes special forms depending on our choice of the
operators and :
WEMVA by TIF 
WEMVA by DSO 


Next: Example
Up: Theory of waveequation MVA
Previous: Gradient
Stanford Exploration Project
11/11/2002