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472                      10. NORMAL MOVEOUT CORRECTION AND STACKING

           limit values, a higher number of traces in early  CDP gather. This is known as “mean stack” and
           arrivals is involved in the stacking process.  is schematically illustrated in the upper right
              Fig. 10.12 shows a marine CDP gather and its  panel of Fig. 10.13. Displaying all the stacked
           NMO corrected versions for different stretch  traces side by side for an entire seismic line con-
           limit percentages. A limit of 50% seems to be  stitutes the stack section of that line.
           appropriate for this ensemble. Water depth is   For a certain time sample k, the mean stack is
           an important parameter on the selection of   mathematically defined as
           stretch limits for marine CDPs. In relatively dee-
                                                                              N
           per water data, there are no reflection hyperbo-                 1  X
                                                                      StðÞ ¼     A i tðÞ     (10.17)
           las in early arrivals, where there is no need to                 N
                                                                              i¼1
           select a small stretch limit percentage for deep
           water data. However, the limit should be care-  where N is the number of traces involved in
           fully selected in shallow waters, and generally  stacking, that is, the fold number of the CDP
           several tests with different percentage values  being stacked, and A i is the amplitude value of
           must be required to determine the most suitable  the ith trace in the CDP gather. Each CDP gather
           stretch limit.                               turns into a single stacked trace after stacking,
                                                        and therefore the number of CDPs in a 2D line
                                                        or in a 3D volume exactly equals to the number
                       10.3 STACKING                    of traces in the stack section.
                                                           Geometry of the ray paths for each specific
              During the stacking process, all the traces in  type of ensemble from raw shot gathers to a
           2D or 3D CDPs are simply summed up and aver-  stacked trace, and their corresponding example
           aged to obtain one single stacked trace for each  trace gathers are given in Fig. 10.14. The seismic




























           FIG. 10.12  (A) A marine CDP gather and its NMO corrected versions with an automated NMO stretch mute for stretch
           limit percentages of (B) 0%, (C) 50%, (D) 100%, and (E) 200%. A stretch limit of 50% seems to be suitable for this real marine
           CDP gather.
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