Frequency-space wavefield extrapolation using infinite impulse response digital filters: is it feasible

摘要

The purpose of this paper is to study the possibility of performing practically stable and efficient frequency-space (f — x) wavefield extrapolation for the application of seismic imaging and datuming via infinite impulse response (IIR) filters. The model reduction control theory was adopted to design such IIR f — x extrapolation filters. The model reduction theory reduces the order of a given order system which, in this case, involves reducing a finite impulse response (FIR) f — x extrapolation filter system into an IIR f — x extrapolation filter system. This theory relies on decomposing the states of the given filter system into strong and weakly coupled sub-systems, and then eliminating the weakly coupled states via singular value decomposition of the Hankel and the impulse response Gramian matrices.