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时间域和频率域二阶同步压缩变换及其在储层识别中的应用
李振春¹,孙苗苗^1,2,王姣¹,刘延利¹,杨国权¹,李庆洋³,杨博¹
(1.中国石油大学(华东)地球科学与技术学院,山东青岛 266580;2.中国石化石油工程地球物理有限公司胜利分公司,山东东营 257088;3.中国石化中原油田分公司物探研究院,河南濮阳 457001)

摘要:

从时间域推导出时间域二阶同步压缩短时傅里叶变换和时间域二阶同步压缩小波变换,从频率域推导出频率域二阶同步压缩短时傅里叶变换和频率域二阶同步压缩小波变换,通过公式推导结果可以得到二阶同步压缩变换的统一形式,这一规律可以推广到其他二阶同步压缩线性时频变换中去。将二阶同步压缩小波变换应用到实际地震资料处理中。结果表明:该方法可以得到非常高的时频分辨率,能够有效识别储层及有利圈闭,所得结果与测井资料相吻合;相对于传统线性时频分析方法和一阶同步压缩变换方法,二阶同步压缩变换可以使能量更加聚焦到时频脊上,提高时频域分辨率。

关键词: 时频分析分辨率二阶同步压缩变换储层识别

DOI：10.3969/j.issn.1673-5005.2019.03.004

分类号::P 631.4

文献标识码:A

基金项目:国家重点研发计划项目(2016YFC060110501)；国家油气重大专项(2016ZX05006-002,2016ZX05024-003-011,2016ZX05026-002-002)；中国石化胜利油田分公司局级课题项目(YKW1704);国家自然科学基金项目(41604103)；中央高校基本科研业务费专项(18CX02009A)

Second-order synchrosqueezing transform in time domain and frequency domain and its application in reservoir identification

LI Zhenchun¹, SUN Miaomiao^1,2 ,WANG Jiao¹, LIU Yanli¹, YANG Guoquan¹, LI Qingyang³, YANG Bo¹

(1.School of Geosciences in China University of Petroleum(East China), Qingdao 266580, China;2.Shengli Branch, Geophysical Corporation, SINOPEC, Dongying 257088, China;3.Geophysical Exploration Research Institute of Zhongyuan Oilfield Company, SINOPEC, Puyang 457001, China)

Abstract:

In this paper, we derive the second-order synchrosqueezing short-time Fourier transform and the second-order synchrosqueezing wavelet transform in time domain and frequency domain respectively, and obtain a unified form of the second-order synchrosqueezing transform. This law can be extended to other second-order synchrosqueezing linear time-frequency transforms. The actual seismic data processed by the second-order synchrosqueezing wavelet transform show that the method has a very high time-frequency resolution and can effectively identify the reservoirs and favorable traps. The results obtained are consistent with the logging data.Compared with the traditional linear time-frequency methods and the first-order synchrosqueezing transforms, the second-order synchrosqueezing transform can focus the energy more on the time-frequency ridge to improve the resolution in the time-frequency domain.

Key words: time-frequency analysis resolution second-order synchrosqueezing transform reservoir identification