Amplitude spectral integral difference method for Q estimation based on Taylor series expansion
ZHANG Jin1, ZHANG Guoshu2, WANG Yanguo1,3, LI Hongxing1
1. School of Geophysics and Measurement-control Technology, East China University of Technology, Nanchang, Jiangxi 330013, China; 2. School of Nuclear Science and Engineering, East China University of Technology, Nanchang, Jiangxi 330013, China; 3. State Key Laboratory of Nuclear Resources and Environment, East China University of Technology, Nanchang, Jiangxi 330013, China
Abstract:The quality factor Q is a very important parameter for seismic data processing and interpretation, which can be used to improve the vertical resolution of seismic data and reflect reservoir characteristics. The lengths of time window and bandwidth are two key parameters for Q estimation. In addition, Q estimation is easily susceptible to noise interference. To overcome these problems, this paper introduces a new method called the amplitude spectral integral difference (ASID) method based on Taylor series expansion for Q estimation. In this method, the amplitude attenuation term is first subjected to the second-order Taylor series expansion. Then, an equation including Q value is established utilizing the difference between amplitude spectra of seismic wavelets at different moments. Finally, the equation is solved to estimate the Q value. Model tests indicate that the ASID method is less influenced by noise interference and the lengths of time window and frequency bandwidth and is more suitable for Q estimation of seismic data with thin layers, compared with the logarithmic spectral ratio (LSR) method, the centroid frequency shift (CFS) method and the logarithmic spectral area difference (LSAD) method. The ASID method is also applied to a CMP gather of marine seismic data. The results of Q estimation by the new method are close to those of the LASD method.
张瑾, 张国书, 王彦国, 李红星. 利用泰勒级数展开的振幅谱积分差值的Q值估计方法[J]. 石油地球物理勘探, 2022, 57(2): 320-330.
ZHANG Jin, ZHANG Guoshu, WANG Yanguo, LI Hongxing. Amplitude spectral integral difference method for Q estimation based on Taylor series expansion. Oil Geophysical Prospecting, 2022, 57(2): 320-330.
KOLSKY H. The propagation of stress pulses in viscoelastic solids[J]. The Philosophical Magazine,1956,1(8):693-710.
[2]
KNEIB G,SHAPIRO S A. Viscoacoustic wave pro-pagation in 2-D random media and separation of absorption and scattering attenuation[J]. Geophysics,1995,60(2):459-467.
[3]
FUTTERMAN W I. Dispersive body waves[J]. Journal of Geophysical Research,1962,67(13):5279-5291.
[4]
KJARTANSSON E. Constant Q-wave propagation and attenuation[J]. Journal of Geophysical Research,1979,84(B9):4737-4748.
[5]
WANG Y H. Inverse Q-filter for seismic resolution enhancement[J]. Geophysics,2006,71(3):V51-V60.
[6]
ZHANG J,WANG Y G,NOBES D C,et al. Deep seismic reflection data interpretation using balanced filtering method[J]. Geophysics,2017,82(5):N43-N49.
[7]
KLIMENTOS T, MCCANN C. Relationships among compressional wave attenuation,porosity,clay content,and permeability in sandstones[J]. Geophysics,1990,55(8):998-1014.
[8]
张壹,王赟,陈本池,等.强衰减介质中地震波场的频率-空间域特征[J].石油地球物理勘探,2020,55(5):1016-1028,1046.ZHANG Yi,WANG Yun,CHEN Benchi,et al. Cha-racteristics of seismic wave field in frequency-space domain in strong attenuation media[J]. Oil Geophy-sical Prospecting,2020,55(5):1016-1028,1046.
[9]
GLADWIN M T,STACEY F D. Anelastic degradation of acoustic pulses in rock[J]. Physics of the Earth and Planetary Interiors,1974,8(4):332-336.
[10]
STAINSBY S D,WORTHINGTON M H. Q estimation from vertical seismic profile data and anomalous variations in the central North Sea[J]. Geophysics,1985,50(4):615-626.
[11]
DASGUPTA R,CLARK R A. Estimation of Q from surface seismic reflection data[J]. Geophysics,1998, 63(6):2120-2128.
[12]
QUAN Y L,HARRIS J M. Seismic attenuation to-mography using the frequency shift method[J]. Geo-physics,1997,62(3):895-905.
[13]
高静怀,杨森林,王大兴.利用VSP资料直达波的包络峰值处瞬时频率提取介质品质因子[J].地球物理学报,2008,51(3):853-861.GAO Jinghuai,YANG Senlin,WANG Daxing. Quality factor extraction using instantaneous frequency at envelope peak of direct waves of VSP data[J]. Chinese Journal of Geophysics,2008(3):853-861.
[14]
TONN R. The determination of the seismic quality factor Q from VSP data:a comparison of different computational methods[J]. Geophysical Prospecting, 1991,39(1):1-27.
[15]
江雨濛,曹思远,陈思远,等.应用时变子波的盲反射系数反演[J].石油地球物理勘探,2021,56(5):1001-1009.JIANG Yumeng,CAO Siyuan,CHEN Siyuan,et al. A blind deconvolution method based on the time-varying wavelet[J]. Oil Geophysical Prospecting,2021,56(5):1001-1009.
[16]
WANG Y H. Q analysis on reflection seismic data[J].Geophysical Research Letters,2004,31(17):L17606.
[17]
赵宁,曹思远,王宗俊,等.频域统计性属性组合提取品质因子Q[J].石油地球物理勘探,2013,48(4):545-552.ZHAO Ning,CAO Siyuan,WANG Zongjun,et al. Seismic Q estimation by combinations of frequency statistics attributes[J]. Oil Geophysical Prospecting, 2013,48(4):545-552.
[18]
WANG S D,YANG D F,LI J N,et al. Q factor estimation based on the method of logarithmic spectral area difference[J]. Geophysics,2015,80(6):V157-V171.
刘国昌,李超.基于多射线联合反演的速度无关叠前地震数据Q值估计[J].地球物理学报,2020,63(4):1569-1584.LIU Guochang,LI Chao. Velocity-independent pre-stack seismic Q estimation based on multi-ray joint inversion[J]. Chinese Journal of Geophysics,2020,63(4):1569-1584.
[21]
苏勤,曾华会,田彦灿,等.表层Q值确定性求取与空变补偿方法[J].石油地球物理勘探,2019,54(5):988-996.SU Qin,ZENG Huahui,TIAN Yancan,et al. Near-surface Q value estimation and quantitative amplitude compensation[J]. Oil Geophysical Prospecting,2019,54(5):988-996.
[22]
HARGREAVES N D,CALVERT A J. Inverse Q filtering by Fourier transform[J]. Geophysics,1991,56(4):519-527.
[23]
WANG Y H. A stable and efficient approach of inverse Q filtering[J]. Geophysics,2002,67(2):657-663.
[24]
YANG D F,LIU J,LI J N,et al. Q-factor estimation using bisection algorithm with power spectrum[J]. Geophysics,2020,85(3):V233-V248.
[25]
LI J N,WANG S X,YANG D F,et al. An improved Q estimation approach:the weighted centroid frequency shift method[J]. Journal of Geophysics and Engineering,2016,13(3):399-411.