(11) | ||

(12) | ||

(13) | ||

(14) |

From a ``plane-wave'' viewpoint, the image point in the angle-domain is determined by the intersection of the lines passing through the points and tilted by and . This interpretation is consistent with the one for flat reflectors illustrated in Figure 3.

cig-2d-aniso-dipping-1
Geometry of the transformation to the angle-domain with a dipping
reflector. The image point in the subsurface-offset domain
moves to the image point in the
angle-domain .Figure 2 |

cig-2d-aniso-flat-v1
Geometry of the transformation to the angle-domain with a flat
reflector. The image point in the subsurface-offset domain
moves to the image point in the
angle-domain .Figure 3 |

The geometric interpretation of the angle is illustrated in Figure 4. According to equation (10), the depth of the image point in the angle-domain is given by the intersection of the two lines passing through the points and tilted by . For flat reflectors, Biondi (2005a), which is consistent with Figure 3.

cig-2d-aniso-dipping-2
Geometric interpretation of the angle .Figure 4 |

4/6/2006