Optimum hyperbolic moveout filters with applications to seismic data*

Abstract

AbstractOptimum multichannel filters can be designed to process seismic events falling on hyperbolic moveout curves using the conventional least‐squares method. Contrary to the linear moveout filters, autocorrelation and crosscorrelation functions inherent in the normal equations have to be computed numerically. However, computation times of filter coefficients are comparable to linear moveout operators.For a given source‐receiver geometry and assuming straight ray‐path, relative moveout of a seismic reflection event is dependent on the two way arrival time and rms velocity. Consequently, to avoid overlapping of pass and reject moveout windows, hyperbolic moveout filters have to be designed over time gates rather than for the whole record lengths. Hyperbolic and hyperbolic‐linear moveout filters applied to synthetic and field seismic reflection traces show good signal‐to‐noise (S/N) ratio improvements. Results of some combined synthetic and field data examples are presented.