三维时—空域曲面拟合与叠加
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摘要
多项式拟合技术在提高信噪比的同时基本上不降低资料的分辨率,但该法以往仅适用于二维拟合。本文提出了三维时—空域曲面拟合与叠加方法,给出了数理推导和实现步骤,利用三维复合正交基的可分解性,实现了线性拟合、双曲拟合、挠曲拟合的分离和复合,完成了二维拟合向三维拟合的拓展,使多项式拟合方法适用于三维地震资料处理。采用该方法对实际三维地震资料在共炮检距域进行三维曲面拟合与叠加,得到相应的叠加剖面。处理结果表明,该方法能有效地提高地震资料的信噪比和分辨率。
Polynomial fitting can increase signal-to-noise ratio without damaging resolution.But the method can only be used in processing 2-D seismic data.In this paper,a 3-D curved-surface fitting and stacking method is introduced.It can separate and compound linearity fitting,hyperbola fitting and flexure fitting using decomposability of 3-D compound orthogonal polynomial.A 3-D seismic dataset is processed in offset domain by this method.High quality section is obtained.Processing results prove that the method can improve signal-to-noise ratio and resolution effectively.
Polynomial fitting can increase signal-to-noise ratio without damaging resolution.But the method can only be used in processing 2-D seismic data.In this paper,a 3-D curved-surface fitting and stacking method is introduced.It can separate and compound linearity fitting,hyperbola fitting and flexure fitting using decomposability of 3-D compound orthogonal polynomial.A 3-D seismic dataset is processed in offset domain by this method.High quality section is obtained.Processing results prove that the method can improve signal-to-noise ratio and resolution effectively.
引文
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[6]夏洪瑞,董江伟,邹少峰等.常规二次多项式拟合地震数据.石油物探,2006,45(5):492~496Xia Hong-rui,Dong Jiang-wei,Zou Shao-feng et al.Normal quadratic polynomial fitting seismic data.GPP,2006,45(5):492~496
[7]钟伟,杨宝俊,张智.多项式拟合技术在强噪声地震资料中的应用研究.地球物理学进展,2006,21(1):184~189Zhong Wei,Yang Bao-jun,Zhang Zhi.Research on ap-plication of polynomial fitting technique in highly noisyseismic data.Progress in Geophysics,2006,21(1):184~189
[8]薛亚茹,陆文凯,陈小宏.基于正交多项式的高精度零炮检距地震道拟合.石油地球物理勘探,2008,43(2):213~216Xue Ya-ru,Lu Wen-kai,Chen Xiao-hong.High-preci-sion zero-offset seismic trace fitting based on orthogo-nal polynomial.OGP,2008,43(2):213~216
[9]李浩,张燕梅.利用正交多项式对三维地震资料拟合算法的研究.西北地震学报,2009,31(2):148~151Li Hao,Zhang Yan-mei.Research on fitting method of3-D seismic data using orthogonal polynomial.North-western Seismological Journal,2009,31(2):148~151
[2]张军华,吕宁,田连玉等.地震资料去噪方法技术综合评述.地球物理学进展,2006,21(2):546~553Zhang Jun-hua,LNing,Tian Lian-yu et al.An over-view of the methods and techniques for seismic datanoise attenuation.Progress in Geophysics,2006,21(2):546~553
[3]Cherkassky V,Yunqian M.Practical selection of SVMparameters and noise esti mation for SV Mregression.Neural Net works,2004,17(1):113~126
[4]俞寿朋,蔡希玲,苏永昌.用地震信号多项式拟合提高叠加剖面信噪比.石油地球物理勘探,1988,23(2):131~139Yu Shou-peng,Cai Xi-ling,Su Yong-chang.I mprove-ment of signal-to-noise ratio of stack using polynomialfitting of seismic signals.OGP,1988,23(2):131~139
[5]万海涛,苏永昌,俞寿朋.3-D叠后地震资料多项式拟合提高信噪比和道内插.石油地球物理勘探,1994,29(2):208~212Wan Hai-tao,Su Yong-chang,Yu Shou-peng.I mpro-ving the signal/noise ratio of stacked 3-D seismic databy polynomial fitting method,and the trace interpola-tion.OGP,1994,29(2):208~212
[6]夏洪瑞,董江伟,邹少峰等.常规二次多项式拟合地震数据.石油物探,2006,45(5):492~496Xia Hong-rui,Dong Jiang-wei,Zou Shao-feng et al.Normal quadratic polynomial fitting seismic data.GPP,2006,45(5):492~496
[7]钟伟,杨宝俊,张智.多项式拟合技术在强噪声地震资料中的应用研究.地球物理学进展,2006,21(1):184~189Zhong Wei,Yang Bao-jun,Zhang Zhi.Research on ap-plication of polynomial fitting technique in highly noisyseismic data.Progress in Geophysics,2006,21(1):184~189
[8]薛亚茹,陆文凯,陈小宏.基于正交多项式的高精度零炮检距地震道拟合.石油地球物理勘探,2008,43(2):213~216Xue Ya-ru,Lu Wen-kai,Chen Xiao-hong.High-preci-sion zero-offset seismic trace fitting based on orthogo-nal polynomial.OGP,2008,43(2):213~216
[9]李浩,张燕梅.利用正交多项式对三维地震资料拟合算法的研究.西北地震学报,2009,31(2):148~151Li Hao,Zhang Yan-mei.Research on fitting method of3-D seismic data using orthogonal polynomial.North-western Seismological Journal,2009,31(2):148~151
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