Next: Numerical results: Sigsbee model
Up: Inversion setting
Previous: Linear leastsquares inversion
The condition number of the targetoriented Hessian matrix can be high, making the solution of the nonstationary leastsquares filtering problem in equation (5) unstable.
One solution is adding a smoothing regularization operator to equation (5):
 

 (6) 
where the choice of the identity operator () as regularization operator is customary. A more sophisticated regularization scheme could involve applying a smoothing operator in the reflection angle (or offset rayparameter) dimension Kuehl and Sacchi (2001); Prucha et al. (2000) or, more generally, in the reflection and azimuth angles as proposed by Valenciano and Biondi (2005).
Next: Numerical results: Sigsbee model
Up: Inversion setting
Previous: Linear leastsquares inversion
Stanford Exploration Project
10/31/2005