f An approach to optimum slant stack, its application as a seismic noise attenuator

A method for improving the z-p transform is suggested which is based on an approach to optimally stacking seismic traces. The method utilizes diversity scaling of the traces prior to slant stacking. Using this technique, a discrete r-p representation of the data can be determined which minimines the representation of random noise, and compresses the r-p response of linear events so that aliasing effects are much reduced. The new transformation can be implemented as a post-stack norse attenuator if local slant stacks are used, and as such it has significant benefits compared to conventional approaches to norse attenuation. Examples of both real and synthetic data are shown that demonstrate the method as a norse attenuation technique. The method is also shown to have potential in other seismic processing applications .