Stacking Velocity Variations Caused by Small Long-Scale, Near-Vertical Static Shifts.

by Darrell Connelly

The NMO Equation for a correct or "standard" event.

The curvature of the NMO Equation at x

The curvature at x = 0

Now assume shifted NMO "standard" hyperbola with a shifted time, , and an altered velocity, , resulting from the shifting of the hyperbola (the time shift). Shifted hyperbola in the "real" world could result from long-scale, near-vertical static shifts.

Let the curvature of the "correct" data and the "shifted" data be equal:

Rearranging gives:

or

This formula gives the results in graph 1.