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11.12 QC IN MIGRATION                           535

           algorithms in different geological settings. Post-  Fig. 11.46 shows the relationship between cost
           stack time migration is the simplest one, which  and computational efficiency of the available
           can be applied in areas of low geological com-  migration algorithms. Normally, prestack algo-
           plexity and of predominantly vertical velocity  rithms require more computational time than
           gradient. If high lateral velocity variations and  poststack algorithms, and depth migrations
           structural dip exist, then poststack depth migra-  need more time than time migrations (time
           tion can be preferred. In geologically complex  migrations are approximately 10 times faster
           areas and strong lateral velocity variations, pre-  than depth migrations). To overcome excess
           stack time or prestack depth migration should  run times of the prestack algorithms, partial
           be considered. Although depth migrations yield  migration or DMO algorithms may be preferred.
           superior results, they are very sensitive to veloc-  Different algorithms utilizing the migration
           ity errors, and this situation, in fact, still remains  types in Fig. 11.46 can be used to migrate the
           as the most important and fundamental imaging  seismic data. Table 11.3 summarizes the most
           problem related to all available migration types  common algorithms used by the seismic explo-
           and algorithms. The accuracy of a depth migra-  ration industry and academia today. Although
           tion imaging unfortunately strongly depends on  the cost of the migration algorithm is one of
           the accuracy of the interval velocity versus  the most important parameters in selecting the
           depth model. In some cases of strong lateral  suitable algorithm, the accuracy and quality of
           velocity variations, anisotropic depth migration,  the output image, especially in complex geolog-
           which accounts for vertical transverse isotropy  ical environments such as the zones of salt tec-
           (VTI)  or  orthorhombic   symmetry   (ORT)   tonics  or  velocity  inversions,  are  also
           (Section 10.1.5) using Kirchhoff or Beam migra-  deterministic factors today. Hence, despite its
           tion algorithms, may be required to image the  higher cost, the most promising algorithm used
           subsurface correctly.                        widely by the industry is reverse time migration
              Over the last few decades, time domain    due to its accuracy in complex geological set-
           images of the subsurface have become accept-  tings, although the most common algorithm still
           able by interpreters in the oil and gas industry.  used in the industry today is the variants of
           In recent years, however, exploration has been  Kirchhoff diffraction summation method. The
           extended into the geologically complex areas  reason for this is that the Kirchhoff migration
           where the velocity of the subsurface varies in  algorithms and their restrictions, advantages,
           all three dimensions, especially in areas of salt  and shortcomings are well known. Furthermore,
           intrusions. In such challenging settings, depth  the suitable selection of the parameters of Kirch-
           imaging must be used to define the subsurface  hoff migration algorithms is relatively well
           geology correctly, since time domain processing  established by seismic data processors, which
           commonly     produces   misleading   results  results in reliable migration results over
           (Albertin et al., 2002). As an excellent example,  the years.
           Fig. 11.45 compares the results of different
           migration types on a well-known Marmousi-II
           synthetic dataset (Martin et al., 2006). Among     11.12 QC IN MIGRATION
           these, the best result is achieved from Kirchhoff
           prestack depth migration, since both the geology  In practice, a number of agents affect the per-
           and velocity distribution are quite complex.  formance of the migration and quality of the out-
           Today, prestack Kirchhoff depth migration in  put images. Some of these specific factors may
           2D and 3D is considered to be one of the leading  produce typical noise or migration artifacts,
           imaging processes in the hydrocarbon industry.  such as smiles from spikes or fake events such
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