An improved Holo-Hilbert spectral analysis guided by fast matching pursuit Available to Purchase

Seismic signals are non-stationary and nonlinear affected by excitation circumstances, absorption and attenuation of the stratum, and characteristics of the receiving instruments. Time-frequency spectral analysis methods are effective and widely used in describing the time-varying features of seismic signals. Nevertheless, these methods are all based on additive expansions, and cannot represent the nonlinearity of signal, which is achieved through a multiplicative process. Therefore, the information provided by time-frequency spectrum is incomplete. In order to quantify the nonlinearity of seismic signal, that is, the modulation effect of low-frequency components on high-frequency components, the improved Holo-Hilbert spectral analysis method is introduced in this paper. The improved Holo-Hilbert spectral analysis (HHSA) contains nested variational modal based fast matching pursuit decomposition and Hilbert transform to achieve a full informational spectrum represented by two frequency dimensions. One dimension represents frequency-modulated (FM) frequency, which characterizes the non-stationarity of signal, and the other dimension represents the amplitude-modulated (AM) frequency, which indicates the nonlinear effect in signal. Synthetic and field data examples verify the feasibility of the improved HHSA in characterizing the cross-frequency interaction of non-stationary seismic signals and predicting reservoirs.