Seismic wave field decomposition method based on vector rotation in τ-p domain
ZHANG Jing1, ZHANG Wendong1, ZHANG Tieqiang1, SUN Pengyuan1, YUAN Yijun2, Li Jianfeng1
1. Research&Development Center BGP, CNPC, Zhuozhou, Hebei 072751, China; 2. School of Geophysics and Information Technology, China University of Geosciences(Beijing), Beijing 100083, China
Abstract:High-fidelity elastic wave field decomposition has become a key processing step in multi-wave and multi-component seismic exploration.Conventional wave filed decomposition methods can be classified into two categories,kinematic methods and dynamic methods.Kinematic methods decompose the wave filed into P-P wave field and P-SV wave field in τ-p domain or in spatial domain.Dynamic methods focus on obtaining polarization characteristics of different types of wave.How-ever,neither of them can achieve ideal decomposition results because of their inherent limitations.Motivated by the idea of combining both kinematic and dynamic characteristics of the wave field,a wave field decomposition method based on vector rotation in τ-p domain was proposed in this paper.It takes near-surface velocity as the key parameter of wave field decomposition,and applies polarity rotation to the vertical and horizontal components of seismic wave field in τ-p domain.According to the polarization characteristics of different types of wave,it decomposes seismic wave field into P-P wave field and P-SV wave field to the corresponding polarization directions respectively.Model tests were carried out based on layered medium model and Marmousi Ⅱ model,and the method was also applied to real seismic data.The results demonstrated that the method can separate P-P wave and P-SV wave more accurately compared with conventional methods.It avoided energy anomaly,wave field aliasing and spatial aliasing,and preserved amplitude well after wave field decomposition.
吴潇,刘洋,蔡晓慧.弹性波波场分离方法对比及其在逆时偏移成像中的应用[J].石油地球物理勘探,2018,53(4):710-721.WU Xiao,LIU Yang,CAI Xiaohui.Elastic wavefield separation methods and their applications in reverse time migration[J].Oil Geophysical Prospecting,2018,53(4):710-721.
[2]
张建磊,田振平,王成祥.二维交错网格纵横波分离的弹性波模拟及应用[J].石油地球物理勘探,2008,43(6):717-722.ZHANG Jianlei,TIAN Zhenping,WANG Cheng-xiang. Elastic wave simulation of P-and S-waves se-paration by 2-D staggered grid and application[J].Oil Geophysical Prospecting,2008,43(6):717-722.
[3]
赫建伟,邓勇,邓盾,等.基于非高斯性最大化的起伏海面环境下双检信号波场分离[J].石油地球物理勘探,2018,53(4):694-702.HE Jianwei,DENG Yong,DENG Dun,et al.Dual-sensor signal wavefield separation based on non-Gaussianity maximum under undulating sea surface[J].Oil Geophysical Prospecting,2018,53(4):694-702.
[4]
赵彦青,萧蕴诗.基于稀疏表示的非零井源距VSP波场分离方法[J].石油地球物理勘探,2017,52(1):27-33.ZHAO Yanqing,XIAO Yunshi.Offset VSP wave field separation based on sparse representation[J].Oil Geophysical Prospecting,2017,52(1):27-33.
[5]
Greenalgh S A,Mason I M,Lucas E,et al.Controlled direction reception filtering of P- and S-waves in τ-p space[J].Geophysical Journal International,1990, 100:221-234.
[6]
吴律,武克奋,孙力.τ-p变换方法及其在地震资料处理中的应用[J].石油物探,1986,25(1):37-53.WU Lv,WU Kefen,SUN Li.τ-p transforms and application in seismic data processing[J].Geophysical Prospecting for Petroleum,1986,25(1):37-53.
[7]
Zhou B,Greenalgh S A.Linear and parabolic τ-p transforms revisited[J].Geophysics,1994,59(7):1133-1149.
[8]
李远钦,牟永光,吴律.Radon变换在VSP波场分离中的应用[J].石油地球物理勘探,1990,25(6):653-661.LI Yuanqin,MOU Yongguang,WU Lv.Application of the Radon transform to VSP wave field separation[J].Oil Geophysical Prospecting,1990,25(6):653-661.
[9]
李彦鹏,马在田.坐标拉伸后的线性拉冬变换法波场分离[J].石油地球物理勘探,1998,33(5):611-615,624.LI Yanpeng,MA Zaitian.Wave field separation by linear Radon transform after coordinate stretch[J].Oil Geophysical Prospecting,1998,33(5):611-615,624.
[10]
巩向博,单刚义,刘冰.压制截断效应的Radon变换在波场分离中的应用[J].吉林大学学报:地球科学版,2007,37(增刊1):74-77.GONG Xiangbo,SHAN Gangyi,LIU Bing,et al.Wave field decomposition via eliminating truncation artifacts of Randon transform[J].Journal of Jilin University(Earth Science Edition),2007,37(S1):74-77.
[11]
李铜基.极化滤波[J].海洋技术,1996,15(4):130-137.LI Tongji.Polarization filtering[J].Journal of Ocean Technology,1996,15(4):130-137.
[12]
Cho W H,Spencer T W.Estimation of polarization and slowness in mixed wavefields[J]. Geophysics,1992,57(6):805-814.
[13]
Esmersoy C.Inversion of P and SV waves from multicomponent offset vertical seismic profiles[J]. Geophysics,1990,55(1):39-50.
[14]
Benhama A,Cliet C,Dubesset M.Study and applications of spatial directional filtering in three-component recordings[J].Geophysical Prospecting,1988,36(6):591-613.
[15]
朱衍镛.二分量记录的空间方向滤波[J].石油地球物理勘探,1995,30(增刊2):116-125.ZHU Yanyong.Spatial directional filtering in two-component recordings[J].Oil Geophysical Prospecting,1995,30(S2):116-125.
[16]
马德堂,朱光明.弹性波波场P波和S波分解的数值模拟[J].石油地球物理勘探,2003,38(5):482-486.MA Detang,ZHU Guangming. Numerical modeling of P-wave and S-wave separation in elastic wavefield[J].Oil Geophysical Prospecting,2003,38(5):482-486.
[17]
李振春,张华,刘庆敏,等.弹性波交错网格高阶有限差分法波场分离数值模拟[J].石油地球物理勘探,2007, 42(5):510-515.LI Zhenchun,ZHANG Hua,LIU Qingmin,et al.Numeric simulation of elastic wavefield separation by staggering grid high-order finite-difference algorithm[J].Chinese Journal of Geophysics,2007,42(5):510-515.
[18]
井涌泉,高红伟,王维红.二维各向同性介质P波S波分离方法研究[J].地球物理学进展,2008,23(5):1412-1416.JING Yongquan,GAO Hongwei,WANG Weihong.The study of P-waves and S-waves separation in two-dimensional isotropic media[J].Progress in Geophy-sics,2008,23(5):1412-1416.
[19]
胡天跃,张广娟,赵伟.多分量地震波波场分解研究[J].地球物理学报,2004,47(3):504-508.HU Tianyue,ZHANG Guangjuan,ZHAO Wei. Decom-position of multicomponent seismic wavefields[J]. Chinese Journal of Geophysics,2004,47(3):504-508.
[20]
Al-anboori A,Van der Baan M,Kendall J M.Appro-ximate separation of pure-mode and converted waves in 3-C reflection seismics by τ-p transform[J].Geophysics,2005,70(3):V81-V86.
[21]
Guest S,Kendall J M.Modeling seismic waveforms in anisotropic media using Maslov asymptotic theory[J].European Journal of Heart Failure,1993,12(4):860-862.
[22]
Tatham R H,Keeney J W,Noponen I.Application of the tau-p transform (slant-stack) in processing seismic reflection data[J].Exploration Geophysics,1983,14(4):163-172.
[23]
Martin G S,Wiley R,Marfurt K J.Marmousi 2:An elastic upgrade for Marmousi[J].The Leading Edge,2006,25(2):156-166.
[24]
Muller G,Weber M,Rumper G,et al.Theory of Elastic Waves[M].Geo Forschungs Zentrum German Research Centre,2007.