Acoustic Wavelet and its Applications to Seismic Data Decomposition

Abstract

AbstractAcoustic wavelet is one type of physical wavelets constructed based on the acoustic wave equation. Unless scattering and absorption occur, the propagation of such wavelets is straightforward; while for mathematical wavelets, even propagation in homogeneous media becomes considerably complicated.A s solutions of wave equation, acoustic wavelets are mostly suitable for the decomposition and analysis of complicated acoustic or seismic wave fields. Wu et al.[18].introduced acoustic wavelets into seismic data analysis and opened a new area for the application of physical wavelets to the study of seismic signals. In this paper, based on Kaiser's acoustic wavelet theory, physical constructions of acoustic wavelets are explained through introducing complex time function and imaginary time coordinate of point sources respectively. The acoustic wavelet transform (AWT) in space‐time domain is applied both to the synthetic seismograms of point sources and to the seismic data produced by the complicated SEG‐EAGE salt model. The obtained results further indicate the effectiveness of applications of acoustic wavelets to seismic data decomposition.