Inversion to common offset

Inversion to common offset () is an accurate but costly technique for processing irregularly sampled 3D data. The inversion is not restricted to zero offset models or to a particular azimuth. The model, in general, simulates a regular common-offset experiment. For practical 3D applications, we use a cost-effective implementation based on a log-stretch transformation (), after which AMO becomes time invariant and the inversion can be split into independent frequencies. The linear inverse problem we solve for each frequency component can be written as:

$$\bold d = \bold L \bold m, \EQNLABEL{equ1}$$ (60)

where the vector $\bold d$ represents the irregular input data, $\bold L$ represents the modeling operator, and $\bold m$ stands for the regularly sampled model.