Theory of differential offset continuation |

The third example (the right side of Figure 4) is the
curious case of a focusing elliptic reflector. Let be the center
of the ellipse and be half the distance between the foci of the
ellipse. If both foci are on the surface, the zero-offset
traveltime curve is defined by the so-called ``DMO smile''
(Deregowski and Rocca, 1981):

When coincides with , and coincides with , the source and the receiver are in the foci of the elliptic reflector, and the traveltime curve degenerates to a point . This remarkable fact is the actual basis of the geometric theory of dip moveout (Deregowski and Rocca, 1981).

Theory of differential offset continuation |

2014-03-26