Noise filtering of seismit data

Abstract

Adaptive filtering method to remove ground roll from seismic data. In an M channel adaptive filter, weights Ware set using an adaptive algorithm based on seeking the minimum in the partial differential of cost function J. The cost function includes an expansion of the primary trace d into d=d+Δd (where: dis ground roll contribution and Δd=d+d, where dis the reflected signal component and dis a random noise component) and a corresponding expansion of the reference x into x=x+Δx (where xis ground roll contribution and Δx=x+x; where xis a reflected signal component and xis a random noise component). The delta components are included in the denominator of cost function J to provide an optimal solution of the filter coefficients biased by the reflection signal and random noise is removed.