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NON-LINEAR OPTIMIZATION

The dip p of an event at a point is related to the relative time-shift $\tau$between neighboring traces around that point:  
 \begin{displaymath} p = {\tau \over \Delta x}.\end{displaymath} (1)
where $\Delta x$ is the spatial-sampling interval. Therefore estimating the relative time-shift is equivalent to estimating the dip. The optimal estimate of $\tau$ is defined to be the relative time-shift that will make the neighboring traces resemble each other. The discrepancies between these traces after shifting are measured by an objective function.


 
next up previous print clean
Next: Objective function Up: Zhang and Claerbout: Automatic Previous: Introduction
Stanford Exploration Project
1/13/1998