My approach

This paper will describe my production of a velocity domain where multiples and primaries are easily identifiable and separable by the use of the Hyperbolic Radon Transform (HRT) and inverse theory. The Huber function Huber (1973), or Huber norm, allows us to solve hybrid l¹-l² inverse problems in an efficient fashion. I compare three different methods to obtain the velocity panel: (1) least-squares inversion, (2) l¹ inversion, and (3) l¹ inversion with l¹ regularization. These velocity panels are then used to perform the multiple suppression Lumley et al. (1995).

In this paper I will first review the theory of the velocity transform operator. Next, I introduce the Huber norm and the inverse problem I intend to solve to produce the velocity field. Finally, I apply a multiple attenuation technique for different inverse problems to a complete 2-D data set (Mobil AVO data). I will show that the multiple reflections are favorably attenuated with no noticeable differences between the different inverse problems.