The data (*D*) recorded at the surface can be modeled
from the image (*I*) by integrating over depth (*z*) all
the contributions of the reflected wavefield

(1) |

The image is linked to physical parameters,
such as reflectivity (*R*),
by a reflection operator (*G*) that relates
the upgoing wavefield, to the downgoing wavefield,
such that *I*=*GR*.
The form of this reflection, or scattering,
operator depends on the physical model
adopted for the reflection process.

In the case of constant velocity, for which we can use
the definitions introduced by Clayton and Stolt (1981) and
Stolt and Benson (1986), the operator (*G*)
is a simple frequency-wavenumber domain multiplication defined by

(2) |

4/30/2001