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428                                 9. VELOCITY ANALYSIS

           Thesuitable velocityfor a primaryreflectionisthe  stack stripes are plotted to pick the velocities
           one that perfectly flattens the hyperbola of that  that produce the best stack sections. In Fig. 9.4,
           specific reflection. For instance, NMO correction  NMO correction is applied to 24 successive
           is applied to the input CDP for different velocities  CDPs for different velocities ranging from
           ranging from 1480 to 2400 m/s. A reflection  1480 to 2500 m/s, and prepared stack sections
           hyperbola indicated by A is flattened for    for each velocity are plotted side by side. The
           1480 m/s RMS velocity, while reflections B and  most suitable velocities are those that produce
           C are flattened for 1550 and 1650 m/s, respec-  the stacks with highest amplitudes. For instance,
           tively. Therefore, the estimated velocities for  1480 m/s velocity produces the highest ampli-
           events A, B and C are 1480, 1550 and 1650 m/s,  tudes around A in the first stack stripe, while
           respectively. If the suitable velocities are picked  the highest amplitudes in the second stripe are
           for each distinctive reflection hyperbola on the  obtained for 1550 m/s velocity around B. There-
           CDP gather, then a velocity function can be  fore, the suitable velocities for reflections at zero
           obtained for that specific CDP, indicated by the  offset times A and B are 1480 and 1550 m/s,
           dashed blue line in Fig. 9.3.                respectively.
              Each reflection hyperbola is perfectly flat-  If the suitable velocities are picked for each
           tened if an NMO correction is applied with that  distinctive high-amplitude zone on the stack
           reflection’s dedicated seismic velocity, provid-  stripes, then a velocity function can be obtained
           ing that the reflections are hyperbolic on CDP  as indicated by the dashed blue line in Fig. 9.4
           gathers. The hyperbola is overcorrected if the  and is assigned to the location of the central
           velocity is low and is undercorrected if the  CDP gather. This function can be derived for a
           velocity  is  high  after  NMO   correction.  range of CDP gathers by testing several different
           A velocity function for the whole recording time  velocity values as shown by the solid blue line in
           on the CDP can be derived for that specific  Fig. 9.4. If this constant velocity stacking proce-
           ensemble by testing several different velocity  dure is repeated for several successive sets of
           values, as shown by the solid blue line in   CDPs along the line, a 2D velocity field can be
           Fig. 9.3. If this velocity scanning procedure for  obtained for the whole seismic line.
           constant velocities is repeated for several CDPs  Determination of velocity range and incre-
           along the line, a 2D velocity field can be obtained  ment is important in CVS calculations and must
           for the whole seismic line.                  be selected carefully depending on the require-
                                                        ments of the input seismic dataset. Dipping
                                                        events and sideswipes require abnormally high
           9.2.2 Constant Velocity Stack
                                                        stacking velocity values. If such high velocities
              The theoretical basis of the velocity estima-  are observed in relatively shallow parts of the
           tion by the constant velocity stack (CVS) method  data, side effects may be suspected. Practical
           is that an optimal velocity function derived from  applications indicate that the CVS method is par-
           the velocity analysis is the one that yields the  ticularly useful in geologically complex areas.
           best stack section. Therefore, stack sections con-
           sisting of 8–24 CDPs, stacked after NMO correc-  9.2.3 Velocity Spectra
           tions for different constant velocities, can be
           used to pick the optimal velocity values.       Velocity spectra are the most common
           Fig. 9.4 schematically shows the constant veloc-  method in deriving 2D and 3D velocity func-
           ity stack (CVS) procedure. A number of succes-  tions from multichannel seismic data. This
           sive CDPs are stacked after NMO correction   method is based on the variations in the curva-
           with a range of constant velocity values. These  ture of the reflection hyperbolas due to the
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