A Kalman seismic iterative filtering method based on lateral and vertical combination
CHEN Gang1,2, QI Hongyan2, LI Wei2, ZHANG Rong2, XIAN Chenggang1, WANG Zhenlin1,2
1. Unconventional Oil and Gas Science and Technology Research Institute, China University of Petroleum(Beijing), Beijing 102249, China; 2. Research Institute of Exploration and Development, PetroChina Xinjiang Oilfield Company, Karamay, Xinjiang 834000, China
Abstract：Low signal-to-noise ratio and lateral continuity of seismic data result in multiple solutions of horizon tracking and fault characterization in seismic interpretation. To improve the lateral continuity and signal to noise ratio of seismic data, this paper puts forward an effective Kalman seismic filtering method based on lateral and vertical combination. This method proposes an alternate iterative optimization model in space and time and obtains a formula of lateral and vertical combination for filter-ing seismic data. Specifically, 4N times of modified lateral Kalman seismic filtering is firstly performed in the seismic trace direction, then N times of modified vertical Kalman seismic filtering is performed in the time direction. and finally, multiple rounds of combined filtering are performed based on the ratio of lateral and vertical filtering times. Compared with smooth filtering and lateral or vertical kalman filter, our method can greatly improve the signal-to-noise ratio and lateral continuity of seismic data. Numerical test and a field data example have proved that our method is feasible and effective.
梁顺军,梁霄,陈江力,等. 山地复杂构造倒转背斜地震剖面反射特征及油气成藏分析[J]. 中国石油勘探,2019,24(3):377-390.LIANG Shunjun,LIANG Xiao,CHEN Jiangli, et al. Seismic reflection features and analysis of hydrocarbon accumulation of reversed anticlines in complicated mountainous areas[J]. China Petroleum Exploration,2019,24(3):377-390.
[2]
张军华,吕宁,田连玉,等. 地震资料去噪方法综合评述[J]. 石油地球物理勘探,2005,40(1):121-127.ZHANG Junhua,LYU Ning,TIAN Lianyu. Comprehensive review on denoising methods of seismic data[J]. Oil Geophysical Prospecting,2005,40(1):121-127.
[3]
徐彦凯,曹思远,潘晓,等. 随机噪声的局部正交压制方法[J]. 石油地球物理勘探,2019,54(2):280-287.XU Yankai,CAO Siyuan,PAN Xiao,et al. A local orthogonalization for seismic random noise suppression[J]. Oil Geophysical Prospecting,2019,54(2):280-287.
[4]
薛林,程浩,巩恩普,等. Shearlet域自适应阈值地震数据随机噪声压制[J]. 石油地球物理勘探,2020,55(2):282-291.XUE Lin,CHENG Hao,GONG Enpu,et al. Random noise suppression using adaptive threshold in Shearlet domain[J]. Oil Geophysical Prospecting,2020,55(2):282-291.
[5]
董烈乾,汪长辉,李长芬,等. 利用自适应中值滤波方法压制混叠噪声[J]. 地球物理学进展,2018,33(4):1475-1479.DONG Lieqian, WANG Changhui,LI Changfen,et al. Blending noise removal utilizing an adaptive me-dian filter[J]. Progress in Geophysics,2018,33(4):1475-1479.
[6]
孙哲,王建锋,王静,等. 基于时空变中值滤波的随机噪声压制方法[J]. 石油地球物理勘探,2016,51(6):1094-1102.SUN Zhe,WANG Jianfeng,WANG Jing, et al. Random noise elimination based on the time-space variant median filtering[J]. Oil Geophysical Prospecting,2016,51(6):1094-1102.
[7]
张岩,任伟建,唐国维. 应用结构聚类字典学习压制地震数据随机噪声[J]. 石油地球物理勘探,2018,53(6):1119-1127.ZHANG Yan,REN Weijian,TANG Guowei. Random noise suppression on seismic data based on structured-clustering dictionary learning[J]. Oil Geophysical Prospecting,2018,53(6):1119-1127.
[8]
赵德斌,黄真萍,王春梅. F-X域奇异值分解预测滤波法随机噪声衰减[J]. 石油物探,1998,37(3):29-33.ZHAO Debin,HUANG Zhenping,WANG Chunmei. Random noise attenuation using predictive filtering in F-X domain by singular value decomposition[J]. Geo-physical Prospecting for Petroleum,1998,37(3):29-33.
[9]
康冶,于承业,贾卧,等. f-x域去噪方法研究[J]. 石油地球物理勘探,2003,38(2):136-138.KANG Ye,YU Chengye,JIA Wo, et al. A study on noise-suppression method in f-x domain[J]. Oil Geophysical Prospecting,2003,38(2):136-138.
[10]
高静怀,毛剑,满蔚仕,等. 叠前地震资料噪声衰减的小波域方法研究[J]. 地球物理学报,2006,49(4):1155-1163.GAO Jinghuai,MAO Jian,MAN Weishi,et al. On the denoising method of prestack seismic data in wavelet domain[J]. Chinese Journal of Geophysics,2006,49(4):1155-1163.
[11]
Ouadfeul S A,Aliouane L. Random seismic noise attenuation data using the discrete and the continuous wavelet transforms[J]. Arabian Journal of Geosciences,2014,7(7):2531-2537.
[12]
Kalman R. A new approach to linear:filtering and predicted problems[J]. Journal of Basic Engineering,1960,82(2):61-63.
[13]
Thorp J. Optimal tracking of maneuvering targets[J]. IEEE Transactions on Aerospace & Electronic Systems,1973,AES-9(4):512-519.
[14]
Reid R E,Tugcu A K,Mears B C. The use of wave filter design in Kalman filter state estimation of the automatic steering problem of a tanker in a seaway[J]. IEEE Transactions on Automatic,1984,29(7):577-584.
[15]
Jo G N,Choi H S. Velocity-aided underwater navigation system using receding horizon Kalman filter[J]. IEEE Journal of Oceanic Engineering,2006,31(1):565-573.
[16]
Shi X K, Wen J,Liu J W, et al. Application and improvement of an adaptive ensemble Kalman filter for soil moisture data assimilation[J]. Science China:Earth Sciences, 2010,53(11):1700-1708.
[17]
乐新安,万卫星,刘立波,等. 基于Gauss-Markov卡尔曼滤波的电离层数值同化现报预报系统的构建——以中国及周边地区为例的观测系统模拟试验[J]. 地球物理学报,2010,53(4):787-795.LE Xin'an,WAN Weixing,LIU Libo,et al. Development of an ionospheric numerical assimilation now cast and forecast system based on Gauss-Markov Kalman filter:an observation system simulation experiment taking example for China and its surrounding area[J]. Chinese Journal of Geophysics,2010, 53(4):787-795.
[18]
Vullings R,Vries B D,Bergmans J W M. An adaptive Kalman filter for ECG signal enhancement[J]. IEEE Transactions on Bio-medical Engineering,2010,58(4):1094-1103.
[19]
Valverde G, Terzija V. Unscented Kalman filter for power system dynamic state estimation[J]. IET Ge-neration Transmission & Distribution,2011,5(1):29-37.
[20]
胡志辉,冯久超. 基于UKF的多用户混沌通信[J]. 物理学报,2011,60(7):83-88.HU Zhihui,FENG Jiuchao. Chaotic communications with multiuser based on unscented Kalman filter[J]. Acta Physica Sinica,2011,60(7):83-88.
[21]
Crump N D. A Kalman filter approach to deconvolution of seismic signals[J]. Geophysics,1974,39(1):1-13.
[22]
董敏煜,王振华. 地震资料自适应时变卡尔曼反褶积[J]. 地球物理学报,1991,34(2):248-258.DONG Minyu,WANG Zhenhua. Adaptive time-variable deconvolution for seismic data using Kalman predictor model[J]. Chinese Journal of Geophysics,1991,34(2):248-258.
[23]
Mendel J M. White-noise estimators for seismic data processing in oil exploration[J]. IEEE Transactions on Automatic Control,1977,22(5):694-706.
[24]
邓小英,胡健,李月,等. 一种新的基于卡尔曼滤波的地震记录同相轴跟踪方法及性能分析[J].地球物理学报,2014,57(1):270-279.DENG Xiaoying,HU Jian,LI Yue,et al. A new tracking approach of the seismic record event based on Kalman filtering and its performance analysis[J]. Chinese Journal of Geophysics,2014,57(1):270-279.
[25]
霍国栋,杜启振,王秀玲,等. 纵向和横向同时约束AVO反演[J].地球物理学报,2017,60(1):271-282.HUO Guodong,DU Qizhen,WANG Xiuling,et al. AVO inversion constrained simultaneously in vertical and lateral directions[J]. Chinese Journal of Geophysics,2017,60(1):271-282.
[26]
Chen G,Wang X J,Wu B C,et al. Computation of dry-rock VP/VS ratio,fluid property factor, and density estimation from amplitude-variation-with-offset inversion fluid property factor and AVO inversion[J]. Geophysics,2018,83(6):R669-R679.
