The double-square-root
equation contains most nonstatistical aspects of seismic data
processing for petroleum prospecting.
This equation, which was derived in the previous section, is not easy to
understand because it is an operator in a
four-dimensional space, namely, (*z*,*s*,*g*,*t*).
We will approach it through various applications, each of which is like a
picture in a space of lower dimension.
In this section lateral velocity variation will be neglected
(things are bad enough already!).
Begin with

(54) | ||

(55) |

- Zero-offset migration (H = 0)
- Zero-dip stacking (Y = 0)
- Conventional processing--separable approximation
- Various meanings of H = 0
- Clayton's cosine corrections
- Snell-wave stacks and CMP slant stacks
- Why not downward continue in (S,G)-space?

10/31/1997