Three-dimensional (3-D) prestack diffraction-stack migration methods (
often called Kirchhoff migration/ inversion) play a fundamental role i
n seismic imaging. In addition to estimating the location of arbitrari
ly curved reflectors and the angle-dependent reflection coefficients u
pon them, they can also be used to provide useful kinematic and dynami
c information about the specular reflection ray that connects the sour
ce and receiver via the unknown reflecting interface. This is achieved
by performing a diffraction stack more than once upon the same seismi
c data set using identical stacking surfaces but different weights. So
me of these weights can be applied simultaneously, i.e., as a weight-v
ector. The approach offers the possibility of determining various usef
ul quantities that help to compute and interpret migrated reflections.
The vector-weighted diffraction stack is principally intended to econ
omize the amplitude-preserving migration that normally would require a
large amount of dynamic ray tracing. A simple 2-D synthetic example s
hows how the method works in principle.