Maarten V de Hoop

**        elastic, anisotropic          **      (acoustic) full wave      **

inference of     angle GRT                      Bremmer series
singularities -- AVA                            modeling [11]
image QC [3']    resolving power [17]

  |               |                                      |
                  |                                      |
regularity        |
estimates [&]     |
                  |
                  |                             DSR modeling, analysis
GRT: Born vs      |                             operator factorization [46]
Kirchhoff     --  |
(reciprocity)     |
  [13]            |                                      |
                  |                                      |
                                                         |
2.5 D  -- GRT construction /
(OBC)     algorithm in presence
  [47]    of caustics [22]   <--Trotter      
                                product [34]--> inverse scattering
                  |                             with DSR (true amplitude)
                  |                             angle transform
                  |                             annihilators [2'] -- reverse
                                                                     time [3'']
reflection    analysis: inverse scattering
tomography -- in the presence of caustics
  [39]        annihilators of the data [29]
                                                         |
                  |*                                    *|
DMO                                                      |
3D analysis -- source-receiver continuation              |
caustics                         [4']
  [31]            |

residual    velocity perturbation               inverse scattering
velocity -- (time lapse)                        with the Bremmer series
DMO [42]    contact continuation [6'']          internal multiples [45]








                   *<----------  reciprocity   -------->*
                                 adjoint states
                                 optimization [21]
                              /                  \
                             /                    \

            wave equation transmission          interferometry [5'']
            tomography [43]





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N.B.:

field studies:

            [22] -> [33] (Valhall)
         [34,2'] -> [38] (L7D)
            [39] -> [48] (Norway, North Sea)
            [42] -> [42] (Trinidad)
            [45] ->      (Gulf of Mexico)
             [&] ->      (tank experiment, ultrasonic)


algorithms: GRT                                 DSR

            quasi-Monte Carlo                   optimal rational
                                                generalized screen
                                                uniformly asymptotic
                                                (locally) quadratic profile