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Most of the contents of this chapter refer to the following linear
partial differential equation:
| |
(140) |

Equation () describes an *artificial*
(non-physical) process of transforming reflection seismic data
*P*(*y*,*h*,*t*_{n}) in the offset-midpoint-time domain. In
equation (), *h* stands for the half-offset
(*h*=(*r*-*s*)/2, where *s* and *r* are the source and the receiver
coordinates), *y* is the midpoint (*y*=(*r*+*s*)/2), and *t*_{n} is the time
coordinate after normal moveout correction is applied:
| |
(141) |

The velocity *v* is assumed to be known a priori.
Equation () belongs to the class of linear
hyperbolic equations, with the offset *h* acting as a time-like
variable. It describes a wave-like propagation in the offset
direction.

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Stanford Exploration Project

12/28/2000