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Data space can be related to model space with the following formula:
| |
(1) |

where the modeling operator *L* is can be a Green's function, a one-way or two-way wave equation, or a more complex wave equation suitable for wavefield extrapolation or modeling. Wavefield extrapolation and modeling operators were exhaustively studied by many authors (, , , , , , , , , , ).
However, prestack depth migration imaging is mostly implemented with one-way acoustic wave equations, which is one of the reasons it cannot achieve true-amplitude images. If a one-way wave equation is used for migration imaging, all wave phenomena except the primary reflection wave are processed as noise. In fact, if quantitative reflectivity is the objective of imaging, a two-way acoustic, or even elastic, wave equation should be used (, , ).

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Stanford Exploration Project

5/3/2005