Wavelet transform with generalized beta wavelets for seismic time-frequency analysis

Author:

Wang Zhiguo1ORCID,Zhang Bing2,Gao Jinghuai2ORCID,Wang Qingzhen3,Huo Liu Qing4

Affiliation:

1. Xi’an Jiaotong University, Department of Computational Geophysics, National Engineering Laboratory for Offshore Oil Exploration, Xi’an, China and Duke University, Department of Electrical and Computer Engineering, Durham, North Carolina, USA..

2. Xi’an Jiaotong University, Department of Computational Geophysics, National Engineering Laboratory for Offshore Oil Exploration, Xi’an, China..

3. Research Institute of CNOOC, Beijing, China..

4. Duke University, Department of Electrical and Computer Engineering, Durham, North Carolina, USA..

Abstract

Using the continuous wavelet transform (CWT), the time-frequency analysis of reflection seismic data can provide significant information to delineate subsurface reservoirs. However, CWT is limited by the Heisenberg uncertainty principle, with a trade-off between time and frequency localizations. Meanwhile, the mother wavelet should be adapted to the real seismic waveform. Therefore, for a reflection seismic signal, we have developed a progressive wavelet family that is referred to as generalized beta wavelets (GBWs). By varying two parameters controlling the wavelet shapes, the time-frequency representation of GBWs can be given sufficient flexibility while remaining exactly analytic. To achieve an adaptive trade-off between time-frequency localizations, an optimization workflow is designed to estimate suitable parameters of GBWs in the time-frequency analysis of seismic data. For noise-free and noisy synthetic signals from a depositional cycle model, the results of spectral component using CWT with GBWs display its flexibility and robustness in the adaptive time-frequency representation. Finally, we have applied CWT with GBWs on 3D seismic data to show its potential to discriminate stacked fluvial channels in the vertical sections and to delineate more distinct fluvial channels in the horizontal slices. CWT with GBWs provides a potential technique to improve the resolution of exploration seismic interpretation.

Funder

National Natural Science Foundation of China

Natural Science Basic Research Plan in Shaanxi Province of China

China Postdoctoral Science Foundation

Publisher

Society of Exploration Geophysicists

Subject

Geochemistry and Petrology,Geophysics

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