一种稳定的波场延拓反Q滤波算法(英文)
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摘要
反Q滤波算法中稳定性是关键。针对地下介质为层状Q模型结构,本文提出一种稳定的反Q滤波算法,基于波场延拓原理,对于每个常Q层反Q滤波算法分两步完成:(1)利用一种稳定的波场延拓算法,将地表波场记录直接延拓到当前层上;(2)在当前层内进行常Q反滤波。在步骤(1)中,利用稳定的波场延拓算法并结合稳定因子,将地表波场记录直接延拓到当前层上,避免了上覆层反Q滤波误差的累积。在步骤(2)中,对于当前层内的反Q滤波,通过对该层地震信号的Gabor谱分析,拾取时变的限幅频率,并确定相应于该频率值的限幅增益值来实现反Q滤波算法的稳定性。最后通过理论模型与实际数据验证了算法的优越性。
Stability is the key to inverse Q-filtering.In this paper we present a stable approach to inverse Q-filtering,based on the theory of wavefield downward continuation.It is implemented in a layered manner,assuming a layered-earth Q model.For each individual constant Q layer,the seismic wavefield recorded at the surface is first extrapolated down to the top of the current layer and a constant Q inverse filter is then applied to the current layer. When extrapolating within the overburden,a stable wavefield continuation algorithm in combination with a stabilization factor is applied.This avoids accumulating inverse Q-filter errors within the overburden.Within the current constant Q layer,we use Gabor spectral analysis on the signals to pick time-variant gain-constrained frequencies and then deduce the corresponding gain-constrained amplitudes to stabilize the inverse Q-filtering algorithm.The algorithm is tested and verified application to field data.
Stability is the key to inverse Q-filtering.In this paper we present a stable approach to inverse Q-filtering,based on the theory of wavefield downward continuation.It is implemented in a layered manner,assuming a layered-earth Q model.For each individual constant Q layer,the seismic wavefield recorded at the surface is first extrapolated down to the top of the current layer and a constant Q inverse filter is then applied to the current layer. When extrapolating within the overburden,a stable wavefield continuation algorithm in combination with a stabilization factor is applied.This avoids accumulating inverse Q-filter errors within the overburden.Within the current constant Q layer,we use Gabor spectral analysis on the signals to pick time-variant gain-constrained frequencies and then deduce the corresponding gain-constrained amplitudes to stabilize the inverse Q-filtering algorithm.The algorithm is tested and verified application to field data.
引文
Bano,M.,1996,Q-phase compensation of seismic records in the frequency domain:Bull.Seis.Soc.Am., 86(4),1179-1186.
Bickel,S.H.,and Natarajan,R.R.,1985,Plane-wave Q deconvolution:Geophysics,50(9),1426-1439.
Futterman,W.L.,1962,Dispersive body waves:J. Geophys.Res.,67,5279-5291.
Gabor,D.,1946,Theory of communication:Journal of the Institute of Electrical Engineers,93(26),429- 457.
Hargreaves,N.D.,and Calvert,A.J.,1991,Inverse Q filtering by Fourier transform:Geophysics,56(4),519 -527.
Kim,Y.C.,Gonzalez,R.,and Berryhill,J.R.,1989, Recursive wavenumber-frequency migration: Geophysics,54(3).319-329.
Kjartansson,E.,1979,Constant Q wave propagation and attenuation:J.Geophys.Res.,84(B9),737-4748.
Kolsky,H.,1956,The propagation of stress pulses in viscoelastic solids;Phil.Mag.,8(1),673-710.
Robinson,J.C.,1979,A technique for the continuous representation of dispersion in seismic data: Geophysics,44 (8),1345-1351.
Robinson,J.C.1982,Time-variable dispersion processing through the use of“phased”sinc function: Geophysics,47(6),1106-1110.
Strick,E.,1970,A predicted pedestal effect for pulse propagation in constant-Q solids:Geophysics,35(3), 387-403.
Stolt,R.H.,1978,Migration by Fourier transform: Geophysics,43(1),23-48.
Wang,Y.H.,2002,A stable and efficient approach of inverse Q filtering:Geophysics,67(2),657-663.
Wang,Y.H.,2003,Quantifying the effectiveness of stabilized inverse Q filtering:Geophysics,68(1),337 -345.
Wang,Y.H.,2006,Inverse Q-filter for seismic resolution enhancement:Geophysics,71(3),V51-V60.
Wang,Y.H.,and Guo,J.,2004,Modified Kolsky model for seismic attenuation and dispersion:Journal of Geophysical Engineering (in Chinese),1 (3),187 - 196.
Zhang X.W.,Han,L.G.,and Qin,X.F.,2006,An improved inverse Q filtering algorithm:Articles Collection of 2005 Academic Exchange Conference of Geophysical Prospecting for Petroleum (in Chinese), 212-220.
Bickel,S.H.,and Natarajan,R.R.,1985,Plane-wave Q deconvolution:Geophysics,50(9),1426-1439.
Futterman,W.L.,1962,Dispersive body waves:J. Geophys.Res.,67,5279-5291.
Gabor,D.,1946,Theory of communication:Journal of the Institute of Electrical Engineers,93(26),429- 457.
Hargreaves,N.D.,and Calvert,A.J.,1991,Inverse Q filtering by Fourier transform:Geophysics,56(4),519 -527.
Kim,Y.C.,Gonzalez,R.,and Berryhill,J.R.,1989, Recursive wavenumber-frequency migration: Geophysics,54(3).319-329.
Kjartansson,E.,1979,Constant Q wave propagation and attenuation:J.Geophys.Res.,84(B9),737-4748.
Kolsky,H.,1956,The propagation of stress pulses in viscoelastic solids;Phil.Mag.,8(1),673-710.
Robinson,J.C.,1979,A technique for the continuous representation of dispersion in seismic data: Geophysics,44 (8),1345-1351.
Robinson,J.C.1982,Time-variable dispersion processing through the use of“phased”sinc function: Geophysics,47(6),1106-1110.
Strick,E.,1970,A predicted pedestal effect for pulse propagation in constant-Q solids:Geophysics,35(3), 387-403.
Stolt,R.H.,1978,Migration by Fourier transform: Geophysics,43(1),23-48.
Wang,Y.H.,2002,A stable and efficient approach of inverse Q filtering:Geophysics,67(2),657-663.
Wang,Y.H.,2003,Quantifying the effectiveness of stabilized inverse Q filtering:Geophysics,68(1),337 -345.
Wang,Y.H.,2006,Inverse Q-filter for seismic resolution enhancement:Geophysics,71(3),V51-V60.
Wang,Y.H.,and Guo,J.,2004,Modified Kolsky model for seismic attenuation and dispersion:Journal of Geophysical Engineering (in Chinese),1 (3),187 - 196.
Zhang X.W.,Han,L.G.,and Qin,X.F.,2006,An improved inverse Q filtering algorithm:Articles Collection of 2005 Academic Exchange Conference of Geophysical Prospecting for Petroleum (in Chinese), 212-220.
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