1. State Key Laboratory of Shale Oil and Gas Enrichment Mechanisms and Effective Development, Beijing 102206, China; 2. SINOPEC Key Laboratory of Seismic Elastic Wave Technology, Beijing 102206, China; 3. SINOPEC Petroleum Exploration and Production Research Institute, Beijing 102206, China
Abstract：Surface-related multiple prediction （SRMP） is an important part of surface-related multiple elimination （SRME） and imaging. Although SRME technology is effective, it requires a regular and dense seismic data acquisition in theory. However, the spatial distribution of actual shot points and receiver points is sparse, and the seismic data fails to meet the requirements of SRME. The conventional method is to regularize seismic data before SRME. To avoiding the pre-SRME data interpolation,3D pre-stack data has been organized by a K-dimensional index data tree,then a nonlinear K-nearest neighbor （KNN） algorithm comprehensively utilizes spatial location coordinates of sources and receivers,offset,azimuth to search from field data an approximate trace in real time,which is closest to an ideal trace. After that,a partial normal move-out correction is used to correct travel time difference because of the offset difference between the approximate trace and the ideal trace. Through the above two steps,the two seismic traces related with any downward reflection point （DRP） in the aperture of a single trace can be obtained and be used in SRMP. By convolution the two traces and stacking the results of all DRPs in the aperture of a single trace,a stable multiple model for that trace can be obtained. The method has been proven effective by testing on synthetic data of a modified 3D Pluto model and field seismic data in Northwest China.
LIU Y K,CHANG X,JIN D G,et al. Reverse time migration of multiples for subsalt imaging[J]. Geophysics,2011,76(5):WB209-WB216.
[2]
DRAGOSET B,VERSCHUUR E,MOORE I,et al. A perspective on 3D surface-related multiple elimination[J]. Geophysics,2010,75(5):75A245-75A261.
[3]
JING Hongliang,ZHANG Shaohua,FANG Yunfeng,et al. Multiple attenuation method based on 3D parabolic Radon transform in the λ-f domain[J]. Oil Geophysical Prospecting,2022,57(5):1066-1075,1087.井洪亮,张少华,方云峰,等. λ-f域三维抛物Radon变换多次波压制方法[J]. 石油地球物理勘探,2022,57(5):1066-1075,1087.
[4]
WANG Weihong,CUI Baowen,LIU Hong. Research progress in surface-related multiple attenuation[J]. Progress in Geophysics,2007,22(1):156-164.王维红,催宝文,刘洪. 表面多次波衰减的研究现状与进展[J]. 地球物理学进展,2007,22(1):156-164.
[5]
LI Peng,LIU Yike,CHANG Xu,et al. Application of the equipoise pseudomultichannel matching filter in multiple elimination using wave-equation method[J]. Chinese Journal of Geophysics,2007,50(6):1844-1853.李鹏,刘伊克,常旭,等. 均衡拟多道匹配滤波法在波动方程压制多次波中的应用[J]. 地球物理学报,2007,50(6):1844-1853.
[6]
JIN Degang,CHANG Xu,LIU Yike. Research of multiple elimination method in inverse wavelet domain[J]. Chinese Journal of Geophysics,2008,51(1):250-259.金德刚,常旭,刘伊克. 逆子波域消除多次波方法研究[J]. 地球物理学报,2008,51(1):250-259.
[7]
MA Jitao,LIU Shiyou,LIAO Zhen. Research on multiple attenuation using 3D high-precision amplitude-preserving Radon transform[J]. Oil Geophysical Prospecting,2022,57(3):582-592.马继涛,刘仕友,廖震. 三维高精度保幅Radon变换多次波压制方法[J]. 石油地球物理勘探,2022,57(3):582-592.
[8]
VERSCHUUR D J,BERKHOUT A J. Adaptive surface-related multiple elimination[J]. Geophysics,1992,57(9):1166-1177.
[9]
BERKHOUT A J,VERSCHUUR D J. Estimation of multiple scattering by iterative inversion,part Ⅰ:Theoretical considerations[J]. Geophysics,1997,62(5):1586-1595.
[10]
VERSCHUUR D J,BERKHOUT A J. Estimation of multiple scattering by iterative inversion,part Ⅱ:Practical aspects and examples[J]. Geophysics,1997,62(5):1596-1611.
[11]
LI Xiaozhang,DENG Yong,HE Jianwei,et al. Free-surface-related multiple prediction for complex seafloor[J]. Oil Geophysical Prospecting,2020,55(1):64-70.黎孝章,邓勇,赫建伟,等. 复杂海底自由表面多次波预测方法[J]. 石油地球物理勘探,2020,55(1):64-70.
TIAN Jiqiang,HU Tianyue. Application of feedback iteration method in free surface multiple attenuation[J]. Geophysical Prospecting for Petroleum,2008,47(5):449-454.田继强,胡天跃. 反馈迭代法在自由表面多次波压制中的应用[J]. 石油物探,2008,47(5):449-454.
[14]
SUN Weiqiang,WANG Huazhong. Water-layer related multiple suppression based on plane-wave coding[J]. Geophysical Prospecting for Petroleum,2016,55(4):516-523.孙维蔷,王华忠. 基于平面波编码的水体相关多次波压制方法研究[J]. 石油物探,2016,55(4):516-523.
[15]
MA Jitao. Comparison and analysis of multiple attenuation algorithms based on three-dimensional parabolic Radon transform[J]. Geophysical Prospecting for Petroleum,2022,61(3):444-453,511.马继涛. 基于三维抛物线Radon变换的多次波压制算法对比分析[J]. 石油物探,2022,61(3):444-453,511.
[16]
VAN DEDEM E J,VERSCHUUR D J. 3D surface-related multiple elimination and interpolation[C]. SEG Technical Program Expanded Abstracts,1998,17:1321-1324.
[17]
VAN DEDEM E J,VERSCHUUR D J. 3D surface multiple prediction using sparse inversion[C]. SEG Technical Program Expanded Abstracts,2001,20:1285-1288.
[18]
DRAGOSET B,MOORE I,YU M,et al. 3D general surface multiple prediction:An algorithm for all surveys[C]. SEG Technical Program Expanded Abstracts,2008,27:2426-2430.
[19]
MOORE I,DRAGOSET B. General surface multiple prediction:a flexible 3D SRME algorithm[J]. First Break,2008,26(9):89-100.
[20]
MUJA M,LOWE D G. Scalable nearest neighbor algorithms for high dimensional data[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence,2014,36(11):2227-2240.
[21]
FRIEDMAN J H,BENTLEY J L,FINKEL R A. An algorithm for finding best matches in logarithmic expected time[J]. ACM Transactions on Mathematical Software,1977,3(3):209-226.
[22]
LIN Juan,JIANG Li,PAN Long,et al. Analysis of complex near-surface multiple waves and discussion on suppression methods:a case of seismic data in the hinterland of the Junggar Basin[J]. Oil Geophysical Prospecting,2021,56(6):1229-1235.林娟,蒋立,潘龙,等. 复杂近地表多次波分析及压制方法探讨——准噶尔盆地腹部地震资料处理实例[J]. 石油地球物理勘探,2021,56(6):1229-1235.
