Time-frequency characteristics analysis of orderly thickness-graded thin inter-beds based on affine smoothed pseudo-Wigner distribution
LI Xueying1,2, TIAN Yajun1,3, CHENG Yun1,2, NIE Weidong1,2
1. College of Earth Science, Northeast Petroleum University, Daqing, Heilongjiang 163318, China; 2. Heilongjiang Key Laboratory of Hydrocarbon Reservoir Forming Mechanism and Resource Evaluation, Daqing, Heilongjiang 163318, China; 3. School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China
Abstract:The orderly thickness-graded thin inter-bed is typical one in many thin inter-bed types.Thus an accurate description of its time-frequency characteristics is of great significance for its identification.We first establish a geological model of orderly thickness-graded thin inter-beds with different total thicknesses,different numbers of inter-beds,and different thickness variation.Then we obtain synthetic data with the wave equation forward modeling,and the time-frequency spectrum with the affine smoothed pseudo-Wigner distribution.On this basis,we analyze characteristics and variation regulations of time-domain waveform,time-frequency spectrum,and instantaneous frequency spectrum of different thin inter-beds.According to our research,for typical orderly thickness-graded thin inter-beds,the frequency of thin beds increases while the spectrum of thin beds is wide;and the frequency of thick beds decreases while the spectrum of thick beds is narrow.And the time frequency variation regulation of thin bed is its main controlling mechanism.Besides,time-frequency characteristics are different with thickness changes:when a single-bed thickness is less than 1/8 wavelength,the peak frequency decreases and the spectrum becomes narrower with its thickness decrease;when a single-bed thickness is greater than 1/2 wavelength,the first band is compressed and the bandwidth is broadened with its thickness increase.In addition,for a single-bed thickness between the above two,it has similar spectral characteristics as the single thin bed.Thus,single-bed thickness interval,numbers of inter-beds and thickness variation are their main controlling factors.In this paper,we propose also the concept of transitional-graded thin inter-beds and equivalent thin beds,so we can analyze thin beds,equivalent thin inter-beds,and orderly thickness-graded thin inter-beds under a unified characteristic frame.
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