位场稳定向下延拓的波数域正则化-迭代法
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摘要
向下延拓是位场数据处理与解释的基本方法;但其不稳定性限制了其在实际资料中的应用。首先对四种形式的向下延拓正则化方法进行系统研究,选出稳定性最强的正则化方法与迭代法相结合,由此实现了基于正则化迭代法的稳定向下延拓计算。同时,不同向下延拓方法的滤波特性对比分析结果表明正则化迭代法在计算稳定性和计算精度方面具有明显的优势。模型试验和实际航磁资料处理结果均证实了正则化迭代法具有较强的计算稳定性和计算精度;同时还具有保幅能力强和受迭代次数影响较小的优点。
Downward continuation is a basic method for data processing and interpretation in potential fields,but its instability restricts its application in real data. After researching on four regularization methods for downward continuation,regularization-iterative method was proposed for downward continuation of potential fields based on combination of regularization methods which has strongest stability and iterative method. In addition,the regularization-iterative method has the advantages in stability and calculation accuracy based on comparative analysis of filter characteristics of different downward continuation methods. Both the mode test and the application of real aeromagnetic data show that the new method has stronger stability,higher calculation accuracy,stronger capacity of amplitude preservation and less influenced by iterative times than other methods for downward continuation.
Downward continuation is a basic method for data processing and interpretation in potential fields,but its instability restricts its application in real data. After researching on four regularization methods for downward continuation,regularization-iterative method was proposed for downward continuation of potential fields based on combination of regularization methods which has strongest stability and iterative method. In addition,the regularization-iterative method has the advantages in stability and calculation accuracy based on comparative analysis of filter characteristics of different downward continuation methods. Both the mode test and the application of real aeromagnetic data show that the new method has stronger stability,higher calculation accuracy,stronger capacity of amplitude preservation and less influenced by iterative times than other methods for downward continuation.
引文
[1]高玉文,骆遥,文武.补偿向下延拓方法研究及应用.地球物理学报,2012;55(8):2747-2756Gao Yuwen,Luo Yao,Wen Wu.The compensation method for downward continuation of potential field from horizontal plane and its application.Chinese Journal of Geophysics,2012;55(8):2747-2756
2许家姝,刘立家,刘银萍.基于FFT的重力正反演方法及其在漠河盆地油气远景预测中的应用.科学技术与工程,2013;13(2):573-579Xu Jiashu,Liu Lijia,Liu Yinping.Inversion of gravity data based on FFT and its application in the oil and gas prospects forecast in Mohe basin.Science Technology and Engineering,2013;13(2):573-579
3重磁资料数据处理问题编写组.重磁资料数据处理问题.北京:地质出版社,1977:83-103The Compile Group of Gravity and Magnetic Data Processing Problems.The problems of gravity and magnetic data processing.Beijing:Geological Publishing House,1977:83-103
4栾文贵.场位解析延拓的稳定化算法.地球物理学报,1983;26(3):263-274Luan Wengui.The stabilized algorithm of the analytic continuation for the potential field.Chinese Journal of Geophysics,1983;26(3):263-274
5梁锦文.位场向下延拓的正则化方法.地球物理学报,1989;32(5):600-608Liang Jinwen.Downward continuation of regularization methods for potential fields.Chinese Journal of Geophysics,1989;32(5):600-608
6陈生昌,肖鹏飞.位场向下延拓的波数域广义逆算法.地球物理学报,2007;50(6):1816-1822Chen Shengchang,Xiao Pengfei.Wavenumber domain generalized inverse algorithm for potential field downward continuation.Chinese Journal of Geophysics,2007;50(6):1816-1822
7王延忠,熊光楚.位场向下延拓组合滤波器的设计和应用.地球物理学报,1985;28(5):537-543Wang Yanzhong,Xiong Guangchu.A combined filter used for the downward continuation of the potential field.Chinese Journal of Geophysics,1985;28(5):537-543
8徐世浙.位场延拓的积分-迭代法.地球物理学报,2006;49(4):1176-1182Xu Shizhe.The integral-iteration method for continuation of potential fields.Chinese Journal of Geophysics,2006;49(4):1176-1182
9徐世浙.迭代法与FFT法位场向下延拓效果的比较.地球物理学报,2007;50(1):285-289Xu Shizhe.A comparison of effects between the iteration method and FFT for downward continuation of potential fields.Chinese Journal of Geophysics,2007;50(1):285-289
10 Xu S Z,Yang J Y,Yang C F,et al.The iteration method for downward continuation of a potential field from a horizontal plane.Geophysical Prospecting,2007;55:883-889
11刘东甲,洪天求,贾志海,等.位场向下延拓的波数域迭代法及其收敛性.地球物理学报,2009;52(6):1599-1605Liu Dongjia,Hong Tianqiu,Jia Zhihai,et al.Wave number domain iteration method for downward continuation of potential fields and its convergence.Chinese Journal of Geophysics,2009;52(6):1599-1605
12张辉,陈龙伟,任治新,等.位场向下延拓迭代法收敛性分析及稳健向下延拓方法研究.地球物理学报,2009;52(4):1107-1113Zhang Hui,Chen Longwei,Ren Zhixin,et al.Analysis on convergence of iteration method for potential fields downward continuation and research on robust downward continuation method.Chinese Journal of Geophysics,2009;52(4):1107-1113
13于波,翟国君,刘雁春,等.噪声对磁场向下延拓迭代法的计算误差影响分析.地球物理学报,2009;52(8):2182-2188Yu Bo,Zhai Guojun,Liu Yanchun,et al.Analysis of noise effect on the calculation error of downward continuation with iteration method.Chinese Journal of Geophysics,2009;52(8):2182-2188
14曾小牛,李夕海,刘代志,等.积分迭代法的正则性分析及其最优步长的选择.地球物理学报,2011;54(11):2943-2950Zeng Xiaoniu,Li Xihai,Liu Daizhi,et al.Regularization analysis of integral iteration method and the choice of its optimal step-length.Chinese Journal of Geophysics,2011;54(11):2943-2950
15王彦国,张凤旭,王祝文,等.位场向下延拓的泰勒级数迭代法.石油地球物理勘探,2011;46(4):657-662Wang Yanguo,Zhang Fengxu,Wang Zhuwen,et al.Taylor series iteration for downward continuation of potential fields.Oil Geophysics Prospecting,2011:46(4):657-662
16王彦国,王祝文,张凤旭,等.位场向下延拓的导数迭代法.吉林大学学报(地球科学版),2012;42(1):240-245Wang Yanguo,Wang Zhuwen,Zhang Fengxu,et al.Derivative-iteration method for downward continuation of potential fields.Journal of Jilin University(Earth Science Edition),2012;42(1):240-245
17张志厚,吴乐园.位场向下延拓的相关系数法.吉林大学学报(地球科学版),2012;42(6):1912-1919Zhang Zhihou,Wu Leyuan.Correlation coefficient method for downward continuation of potential fields.Journal of Jilin University(Earth Science Edition),2012;42(6):1912-1919
18曾小牛,李夕海,牛超,等.位场向下延拓的波数域正则-积分迭代法.石油地球物理勘探,2013;48(4):643-650Zeng Xiaoniu,Li Xihai,Niu Chao,et al.The regularization-integral iteration method in wave number domain for downward continuation of potential fields.Oil Geophysical Prospecting,2013;48(4):643-650
19曾小牛,刘代志,李夕海,等.位场向下延拓的改进迭代维纳滤波法.地球物理学报,2014;57(6):1958-1967Zeng Xiaoniu,Liu Daizhi,Li Xihai,et al.An improved iterative Wiener filter for downward continuation of potential fields.Chinese Journal of Geophysics,2014;57(6):1958-1967
20姚长利,李宏伟,郑元满,等.重磁位场转换计算中迭代法的综合分析与研究.地球物理学报,2012;55(6):2062-2078Yao Changli,Li Hongwei,Zheng Yuanman,et al.Research on iteration method using in potential field transformations.Chinese Journal of Geophysics,2012;55(6):2062-2078
2许家姝,刘立家,刘银萍.基于FFT的重力正反演方法及其在漠河盆地油气远景预测中的应用.科学技术与工程,2013;13(2):573-579Xu Jiashu,Liu Lijia,Liu Yinping.Inversion of gravity data based on FFT and its application in the oil and gas prospects forecast in Mohe basin.Science Technology and Engineering,2013;13(2):573-579
3重磁资料数据处理问题编写组.重磁资料数据处理问题.北京:地质出版社,1977:83-103The Compile Group of Gravity and Magnetic Data Processing Problems.The problems of gravity and magnetic data processing.Beijing:Geological Publishing House,1977:83-103
4栾文贵.场位解析延拓的稳定化算法.地球物理学报,1983;26(3):263-274Luan Wengui.The stabilized algorithm of the analytic continuation for the potential field.Chinese Journal of Geophysics,1983;26(3):263-274
5梁锦文.位场向下延拓的正则化方法.地球物理学报,1989;32(5):600-608Liang Jinwen.Downward continuation of regularization methods for potential fields.Chinese Journal of Geophysics,1989;32(5):600-608
6陈生昌,肖鹏飞.位场向下延拓的波数域广义逆算法.地球物理学报,2007;50(6):1816-1822Chen Shengchang,Xiao Pengfei.Wavenumber domain generalized inverse algorithm for potential field downward continuation.Chinese Journal of Geophysics,2007;50(6):1816-1822
7王延忠,熊光楚.位场向下延拓组合滤波器的设计和应用.地球物理学报,1985;28(5):537-543Wang Yanzhong,Xiong Guangchu.A combined filter used for the downward continuation of the potential field.Chinese Journal of Geophysics,1985;28(5):537-543
8徐世浙.位场延拓的积分-迭代法.地球物理学报,2006;49(4):1176-1182Xu Shizhe.The integral-iteration method for continuation of potential fields.Chinese Journal of Geophysics,2006;49(4):1176-1182
9徐世浙.迭代法与FFT法位场向下延拓效果的比较.地球物理学报,2007;50(1):285-289Xu Shizhe.A comparison of effects between the iteration method and FFT for downward continuation of potential fields.Chinese Journal of Geophysics,2007;50(1):285-289
10 Xu S Z,Yang J Y,Yang C F,et al.The iteration method for downward continuation of a potential field from a horizontal plane.Geophysical Prospecting,2007;55:883-889
11刘东甲,洪天求,贾志海,等.位场向下延拓的波数域迭代法及其收敛性.地球物理学报,2009;52(6):1599-1605Liu Dongjia,Hong Tianqiu,Jia Zhihai,et al.Wave number domain iteration method for downward continuation of potential fields and its convergence.Chinese Journal of Geophysics,2009;52(6):1599-1605
12张辉,陈龙伟,任治新,等.位场向下延拓迭代法收敛性分析及稳健向下延拓方法研究.地球物理学报,2009;52(4):1107-1113Zhang Hui,Chen Longwei,Ren Zhixin,et al.Analysis on convergence of iteration method for potential fields downward continuation and research on robust downward continuation method.Chinese Journal of Geophysics,2009;52(4):1107-1113
13于波,翟国君,刘雁春,等.噪声对磁场向下延拓迭代法的计算误差影响分析.地球物理学报,2009;52(8):2182-2188Yu Bo,Zhai Guojun,Liu Yanchun,et al.Analysis of noise effect on the calculation error of downward continuation with iteration method.Chinese Journal of Geophysics,2009;52(8):2182-2188
14曾小牛,李夕海,刘代志,等.积分迭代法的正则性分析及其最优步长的选择.地球物理学报,2011;54(11):2943-2950Zeng Xiaoniu,Li Xihai,Liu Daizhi,et al.Regularization analysis of integral iteration method and the choice of its optimal step-length.Chinese Journal of Geophysics,2011;54(11):2943-2950
15王彦国,张凤旭,王祝文,等.位场向下延拓的泰勒级数迭代法.石油地球物理勘探,2011;46(4):657-662Wang Yanguo,Zhang Fengxu,Wang Zhuwen,et al.Taylor series iteration for downward continuation of potential fields.Oil Geophysics Prospecting,2011:46(4):657-662
16王彦国,王祝文,张凤旭,等.位场向下延拓的导数迭代法.吉林大学学报(地球科学版),2012;42(1):240-245Wang Yanguo,Wang Zhuwen,Zhang Fengxu,et al.Derivative-iteration method for downward continuation of potential fields.Journal of Jilin University(Earth Science Edition),2012;42(1):240-245
17张志厚,吴乐园.位场向下延拓的相关系数法.吉林大学学报(地球科学版),2012;42(6):1912-1919Zhang Zhihou,Wu Leyuan.Correlation coefficient method for downward continuation of potential fields.Journal of Jilin University(Earth Science Edition),2012;42(6):1912-1919
18曾小牛,李夕海,牛超,等.位场向下延拓的波数域正则-积分迭代法.石油地球物理勘探,2013;48(4):643-650Zeng Xiaoniu,Li Xihai,Niu Chao,et al.The regularization-integral iteration method in wave number domain for downward continuation of potential fields.Oil Geophysical Prospecting,2013;48(4):643-650
19曾小牛,刘代志,李夕海,等.位场向下延拓的改进迭代维纳滤波法.地球物理学报,2014;57(6):1958-1967Zeng Xiaoniu,Liu Daizhi,Li Xihai,et al.An improved iterative Wiener filter for downward continuation of potential fields.Chinese Journal of Geophysics,2014;57(6):1958-1967
20姚长利,李宏伟,郑元满,等.重磁位场转换计算中迭代法的综合分析与研究.地球物理学报,2012;55(6):2062-2078Yao Changli,Li Hongwei,Zheng Yuanman,et al.Research on iteration method using in potential field transformations.Chinese Journal of Geophysics,2012;55(6):2062-2078