Inversion of up and down going signal for ocean bottom data

Modelling Operators

To implement for a modeling operator that maps the image only into up-going signal $d_{\uparrow}$ or only into down-going signal $d_{\downarrow}$ at the receiver, we can use wave equation extrapolation, choosing either an one-way or a two-way wave equation. We can define the modeling operator with different levels of accuracy. As a first-order of accuracy, we can use the mirror imaging operator to model the down-going wave as described in the next section.

Lmod
Figure 5. (a) shows the set-up of a first-order modelling operator for the up-going signal. The air-water interface is removed and filled with a half space of water. (b) shows the set-up of a first-order modeling operator for down-going signal. The air-water interface is removed and the receivers is elevated to twice the water depth. [NR]

Inversion of up and down going signal for ocean bottom data