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《Chinese Journal of Geophysics》 2016-01
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Minimum curvature method for downward continuation of potential field data

LUO Yao;WU Mei-Ping;College of Mechatronics Engineering and Automation,National University of Defense Technology;China Aero Geophysical Survey and Remote Sensing Center for Land and Resources;  
Downward continuation calculates the potential field that is closer to the source of anomalies is a powerful but unstable tool in data processing.To obtain a reasonable downward continued result,we formulate the downward continuation process as an inverse problem of upward continuation,and introduce a discretized smoothing continuous curvature spline regularization approach to solve it.The proposed method,which is based on the discrete Fourier transform(DFT)matrix,allows robust smoothing of downward continued field data.In the study,we formulate the upward continuation of 2-D potential field data as matrix multiplication in the form d=Gm represented by DFT matrix.Then,the inverse problem is formulated as minimizing a total objective function consisting of total squared curvature of downward continued field data and data misfit.Because the number of data is often large,calculating the matrix equation is a major computational load of the downward continuation.We greatly simplify and solve it by means of the DFT.Then we extend the method to 3-D potential field by using theKronecker product,and obtain the minimum curvature solution of downward continued field data in the frequency domain.As the results of downward continuation are strongly influenced by the smoothing parameter,automatic choice of the amount of regularization parameter is carried out using the method of L-curve and generalized cross validation(GCV).In addition,we consider the problems on data missing and grid expansion in the downward continuation of potential field.An iterative robust scheme of downward continuation is then proposed to deal with data expansion or replacing dummy values with interpolated values.To test the performance of the method,we employ the synthetic and real airborne gravity data for downward continuation.Data processing results on both the synthetic and real data confirm that the performance of the proposed technique can satisfy the need of real data processing for downward continuation of the potential field.
【Fund】: 国家自然科学基金(61174206);; 国家高技术研究发展计划(863计划)(2011AA060501 2013AA063901 2013AA063905);; 中国地质调查(1212011120189)项目资助
【CateGory Index】: P631
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 GUO Zhi-Hong 1,2 GUAN Zhi-Ning 2 XIONG Sheng-Qing 1 1 China Aero Geophysical Survey and Remote Sensing Center for Land and Resources, Beijing 100083,China 2 China University of Geoscience,Beijing 100083,China;CUBOID ΔΤ AND ITS GRADIENT FORWARD THEORETICAL EXPRESSIONS WITHOUT ANALYTIC ODD POINTS[J];Chinese Journal of Geophysics;2004-06
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 BIAN Guanglang1,2,ZHAI Guojun2,LIU Yanchun1,OUYANG Yongzhong2 1.Department of Hydrography and Cartography,Dalian Naval Academy,Dalian 116018,China;2.Naval Institute of Hydrographic Surveying and Charting,Tianjin 300061,China;Components Conversion of Magnetic Anomaly in Detecting Underwater Magnetic Object[J];Acta Geodaetica et Cartographica Sinica;2011-02
2 XIONG Sheng-qing(China Aero Geophysical Survey and Remote Sensing Center for Land and Resources,Beijing 100083,China);The strategic consideration of the development of China's airborne geophysical technology[J];Geology in China;2009-06
3 XIONG Sheng-Qing(China Aero-Geophysical Survey and Remote Sensing Center For Land and Resources,Beijing 100083);The present situation and development of airborne gravity and magnetic survey techniques in China[J];Progress in Geophysics;2009-01
4 ZHANG Xuan-jie,ZHENG Guang-ru,FAN Zi-liang,ZHOU Jian-xin, SONG Yan-bing,WEN Shi-xin (China Aero Geophysical Survey and Remote Sensing Center for Land and Resources,Beijing 100083,China);Aeromagnetic anomaly characteristics of eastern segment of the West Tianshan Mountains,Xinjiang and the ore-prospecting effect[J];Progress in Geophysics;2012-01
5 CHEN Zhao-xi1,2,MENG Xiao-hong1,2,GUO Liang-hui1,2(1.State key laboratory of Geological Processes and Mineral Resources,China University of Geosciences,Beijin,100083,China; 2.School of Geophysics and Information Technology,China University of Geosciences,Beijing 100083,China);Review of 3D property inversion of gravity and magnetic data[J];Progress in Geophysics;2012-02
6 LUO Yao,XUE Dian-JunChina Aero Geophysical Survey and Remote Sensing Center for Land and Resources,Beijing 100083,China;Stable reduction to the pole at low magnetic latitude by probability tomography[J];Chinese Journal of Geophysics;2009-07
7 ZHANG Qing-shan,MA Feng-lin,XU Li-yun(Geophysical Exploration Bureau of CMGB,BaoDing 071051);Study on the 3D Gradient Aeromagnetic Survey[J];Geology and Exploration;2010-06
8 Luo Yao1,2 (1.Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China;2.Graduate University of the Chinese Academy of Sciences,Beijing 100049,China);New Expressions for Gravitational Attraction of a Homogeneous Rectangular Prism and Its Deduction[J];Chinese Journal of Engineering Geophysics;2008-02
9 GAO Yu-Wen1,LUO Yao2,WEN Wu1 1 Institute of Geology and Geophysics,Chinese Academy of Sciences,Beijing 100029,China 2 China Aero Geophysical Survey and Remote Sensing Center for Land and Resources,Beijing 100083,China;The compensation method for downward continuation of potential field from horizontal plane and its application[J];Chinese Journal of Geophysics;2012-08
10 LUO Yao,WANG Ping,DUAN Shu-Ling,CHENG Huai-De China Aero Geophysical Survey and Remote Sensing Center for Land and Resources,Beijing 100083,China;Leveling total field aeromagnetic data with measured vertical gradient[J];Chinese Journal of Geophysics;2012-11
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