Seismic Wave Dispersion Effects and Inverse <i>Q</i>‐Filter Phase Compensation

The vertical resolution of seismic data is greatly affected by time-varying seismic wavelets, and the phase extraction is the key topic for the accurate wavelet extraction. The traditional methods are limited to the piecewise stationary and constant-phase assumptions, so that the extracted results are not satisfactory. In this paper, we try to explore a new time-varying wavelet phase extraction method using the wavelet amplitude information. The propagation and attenuation law of seismic wavelets is analyzed, and the relationship between the amplitude and phase spectra of time-varying wavelets is obtained by deriving the wave equation for a viscoelastic medium. We find that accurately estimating the amplitude spectra at different time points and the initial phase spectrum is necessary to extract accurate time-varying wavelet phase spectra. Based on this conclusion, the wavelet amplitude spectra and initial phase spectrum are estimated based on time-frequency spectral modelling and higher-order cumulants, respectively, so that the phase spectra of time-varying wavelets are estimated by applying the obtained relationship. The numerical simulation and real seismic data processing results demonstrate that the proposed method can improve the accuracy of time-varying wavelet phase extraction compared to the traditional method.

show abstract

A time-varying wavelet phase extraction method using the wavelet amplitude spectra

Zhang

Dai

Tan

et al. 2018

Systems Science & Control Engineering

View full text Add to dashboard Cite

show abstract

Stable inversion-based multitrace deabsorption method for spatial continuity preservation and weak signal compensation

Yuan

Wang

Tian³

et al. 2016

GEOPHYSICS

View full text Add to dashboard Cite

Nonstationary seismic data can be expressed using a linear matrix-vector multiplication system derived from wave theory when anelastic effects of the earth can be quantified by the intrinsic quality factor (or [Formula: see text]) and [Formula: see text] is frequency independent in the seismic bandwidth. On the basis of the linear modeling system and singular value decomposition, we have assessed the stability using weights associated with the left singular vectors, data, and singular values, and we assessed the compensation/resolution limitation of inversion-based deabsorption using the right singular vectors. In addition, a stable inversion-based multitrace deabsorption method was developed by minimizing the [Formula: see text]-norm of coefficients in the frequency-wavenumber ([Formula: see text]) domain of reflectivity subject to the time-domain nonstationary data misfit. The optimum deabsorption result can be obtained by sequentially solving a series of lasso subproblems until the stopping condition is reached. As the number of solving lasso subproblems increases, the role of [Formula: see text] magnitude sparsity constraint relative to data misfit gradually decreases. In this way, the proposed method can highlight the spatial continuities and reduce the influence of noise on the updated result during starting iterations due to [Formula: see text] magnitude sparsity, whereas compensate details including some discontinuities of events and weak reflections during later iterations due to the dominant role of data misfit. We tested the method on a series of data sets, including a synthetic data set, a physical modeling data set, and a field data set. Our results determined that the proposed method can provide stable compensation results, even in the presence of coherent noise and/or strong random noise. Compared with the trace-by-trace [Formula: see text]-norm regularization deabsorption method, our method performed better in spatial continuity preservation and weak signal compensation.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Seismic Wave Dispersion Effects and Inverse Q‐Filter Phase Compensation

Cited by 2 publications

References 22 publications

A time-varying wavelet phase extraction method using the wavelet amplitude spectra

A time-varying wavelet phase extraction method using the wavelet amplitude spectra

Stable inversion-based multitrace deabsorption method for spatial continuity preservation and weak signal compensation

Contact Info

Product

Resources

About