** Next:** Dynamics of Residual DMO
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According to the theory of characteristics, described in the beginning
of this section, the kinematic residual NMO equation
(22) corresponds to the dynamic equation of the form
| |
(58) |

whose general solution is easily found to be
| |
(59) |

where is an arbitrary smooth function.
The combination of dynamic equations (58) and
(55) leads to an approximate prestack velocity
continuation with the residual DMO effect neglected. To accomplish the
combination, we can simply add the term to the left-hand
side of equation (55). This addition changes the
kinematics of velocity continuation, but doesn't change the amplitude
properties embedded in the transport equation (56).

** Next:** Dynamics of Residual DMO
** Up:** FROM KINEMATICS TO DYNAMICS
** Previous:** Dynamics of Zero-Offset Velocity
Stanford Exploration Project

11/12/1997