Seismic resolution improvement with bilateral mat-ching pursuit
Liu Lanfeng1, Wang Lu2, Li Lihua3
1. Research Institute of Petroleum Exploration and Production, SINOPEC, Beijing 100083, China;
2. Technique Center, Logging Corporation, CNPC, Xi'an, Shaanxi 710021, China;
3. Beijing Yadan Technology Development Co. Ltd, Beijing 102200, China
Abstract:Based on conventional matching pursuit in the time domain, we put forward a matching pursuit in the time-frequency domain. Same as forward and inverse transform in signal processing, bilateral matching pursuit is implemented. In the time-frequency domain, an approach to seismic resolution improvement is achieved with this bilateral matching based on the theoretic framework of Gabor deconvolution. The approach workflow is shown as follows: First, seismic traces are decomposed into a series of wavelets using forward matching pursuit, and the time-frequency spectrum is obtained by wavelet spectrum accumulation; then, approximate reflection coefficient spectrum is calculated by the time-frequency spectrum smoothing; finally, the time-frequency spectrum is processed by inverse matching pursuit to get high-resolution wavelets and synthesis trace. Real seismic data applications show that the proposed approach extends seismic relative bandwidth and improves resolution.
Robinson E A. Predictive Decomposition of Time Series with Applications to Seismic Exploration. Massachusetts Institute of Technology (MIT),1954.
[2]
Robinson E A. Predictive decomposition of time series with application to seismic exploration. Geophysics, 1967,32(3): 418-484.
[3]
Kjartansson E. Constant Q-wave propagation and attenuation. Journal of Geophysical Research,1979,84(B9):4737-4748.
[4]
Clarke G K C. Time-varying deconvolution filters. Geophysics,1968,33(6):936-944.
[5]
Bickel S H and Natarajan R R. Plane-wave Q deconvolution. Geophysics,1985,50(9): 1426-1439.
[6]
Griffiths L J, Smolka F R and Trembly L D. Adaptive deconvolution:A new technique for processing time-varying seismic data. Geophysics,1977,42(4):742-759.
[7]
Hargreaves N D and Calvert A J. Inverse Q filtering by Fourier transform.Geophysics,1991,56(4): 519-527.
[8]
Wang Y H. A stable and efficient approach of inverse Q filtering. Geophysics,2002, 67( 2): 657-663.
[9]
Wang Y H. Inverse Q-filter for seismic resolution enhancement. Geophysics,2006, 71(3):V51-V60.
[10]
Zhang C and Ulrych T J. Seismic absorption compensation: A least-squares inverse scheme. Geophysics,2007, 72(6): R109-R114.
[11]
Gary F, Michael P and David C. Gabor deconvolu-tion: Estimating reflectivity by nonstationary deconvolution of seismic data.Geophysics,2011,76(3):W15-W30.
[12]
Qian S, Chen D. Signal representation via adaptive normalized Gaussian functions. Signal Processing, 1994,36(1):1-11.
[13]
Mallat S, Zhang Z. Matching pursuits with time-frequency dictionaries. IEEE Transactions on Signal Processing, 1993,41(12):3397-3415.
[14]
Liu J L, Han W, Li X.Time-frequency decomposition based on Ricker wavelet. SEG Technical Program Expanded Abstracts, 2004,23:1937-1940.
[15]
Liu J L, Marfurt J K. Matching pursuit decomposition using Morlet wavelet. SEG Technical Program Expanded Abstracts,2005,24:786-789.
[16]
Wang Y H. Seismic time-frequency spectral decomposition by matching pursuit. Geophysics,2007,72(1):V13-V20.
[17]
Wang Y H. Multichannel matching pursuit for seismic trace decomposition.Geophysics,2010,75(4):V61-V66.