Connecting statics deconvolution and seismic interferometry

David C. Henley, P. F. Daley

In earlier work, we described a method for removing near-surface effects from seismic data which relaxes some of the inherent approximations of the traditional statics correction model. The complete method is known as `raypath dependent statics' and has been demonstrated on two sets of real seismic data. An important part of the technique is what is known as `statics deconvolution', in which `statics distribution functions' are estimated for each seismic trace in a data set. The removal of its unique statics distribution function from each input seismic trace via deconvolution is the essence of this method. The deconvolution can be implemented using either a match filter or an inverse filter derived from the statics distribution function.

Recent work in the relatively new field of seismic interferometry has showed how to remove near-surface effects from seismic data by applying match filters or inverse filters to input traces, and constructing `virtual source' gathers whose traces show no nearsurface effects. In this report, we show the mathematical relationship of this work to the statics deconvolution concept, and we illustrate both approaches on an arctic data set for comparison.

The insight gained from making this connection should assist us in further development of methods to correct seismic data for near-surface effects.