Fourth-order spectral moment analysis for extracting the information of crustal arc structures
FU Lihua1, ZENG Cheng2, YANG Wencai3, LI Yanmei4
1. School of Mathematics and Physics, China University of Geosciences, Wuhan, Hubei 430074, China; 2. School of Computer Science and Technology, Xidian University, Xi'an, Shaanxi 710071, China; 3. School of Earth Sciences, Zhejiang University, Hang-zhou, Zhejiang 310027, China; 4. School of Mathematics, Harbin Institute of Techno-logy, Harbin, Heilongjiang 150001, China
Abstract：The geometric feature analysis of potential field based on spectral moment is a new and automatic edge detection method. It can identify more even and convergent geometric features of geological bodies than conventional methods. Second-order spectral moment can describe linear scratches,but it cannot well recognize other kinds of scratches. Fourth-order spectral moment can recognize arc and other scratches,so we propose an arc coefficient. Theoretical experiments show that the coefficient can reflect the geometric features of circular arc or intersecting linear scratches,and has low sensitivity to depth,so it can extract weak signals of curvature arc scratches in the potential field. Applied in the Tarim Basin,this method has successfully recognized isometric structures like paleo-volcanic group and other geological bodies based on magnetic anomalies,indicating that fourth-order spectral moment can extract necessary information and effectively recognize special crustal structures.
付丽华, 曾诚, 杨文采, 李燕梅. 用于地壳弧形构造信息提取的四阶谱矩分析[J]. 石油地球物理勘探, 2020, 55(4): 923-930.
FU Lihua, ZENG Cheng, YANG Wencai, LI Yanmei. Fourth-order spectral moment analysis for extracting the information of crustal arc structures. Oil Geophysical Prospecting, 2020, 55(4): 923-930.
谭晓迪,黄大年,李丽丽,等.小波结合幂次变换方法在边界识别中的应用[J].吉林大学学报(地球科学版),2018,48(2):420-432.TAN Xiaodi,HUANG Danian,LI Lili,et al.Application of wavelet transform combined with power transform method in edge detection[J].Journal of Jilin University (Earth Science Edition),2018,48(2):420-432.
[2]
余钦范,楼海.水平梯度法提取重磁源边界位置[J].物探化探计算技术,1994,16(4):363-367.YU Qinfan,LOU Hai.Extracting the boundary of magnetic and gravity sources using horizontal derivative method[J].Computing Techniques for Geophysical and Geochemical Exploration,1994,16(4):363-367.
[3]
Evjen H M.The place of the vertical gradient in gra-vitational interpretations[J].Geophysics,1936,1(1):127-136.
[4]
Nabighian M N.The analytic signal of two-dimensional magnetic bodies with polygonal cross-section:its properties and use for automated anomaly interpretation[J].Geophysics,1972,37(3):507-517.
[5]
Miller H G and Singh V.Potential field tilt:a new concept for location of potential field sources[J].Journal of Applied Geophysics,1994,32(2):213-217.
[6]
Verduzco B,Fairhead J D,Green C M,et al.New insights into magnetic derivatives for structural mapping[J].The Leading Edge,2004,23(2):116-119.
[7]
Rajagopalan S and Milligan P.Image enhancement of aeromagnetic data using automatic gain control[J].Exploration Geophysics,1995,25(4):173-178.
[8]
Wijns C,Perez C and Kowalczyk P.Theta map:Edge detection in magnetic data[J].Geophysics,2005,70(4):L39-L43.
[9]
Cooper G R J and Cowan D R.Edge enhancement of potential-field data using normalized statistics[J].Geophysics,2008,73(3):H1-H4.
[10]
马国庆,黄大年,于平,等.改进的均衡滤波器在位场数据边界识别中的应用[J].地球物理学报,2012,55(12):4288-4295.MA Guoqing,HUANG Danian,YU Ping,et al.Application of improved balancing filters to edge identification of potential field data[J].Chinese Journal of Geophysics,2012,55(12):4288-4295.
[11]
Ferreira F J F,De Souza J,Alessandra D B E S B,et al.Enhancement of the total horizontal gradient of magnetic anomalies using the tilt angle[J].Geophy-sics,2013,78(3):J33-J41.
[12]
孙艳云,杨文采.从重力场识别与提取地壳变形带信息的方法研究[J].地球物理学报,2014,57(5):1578-1587.SUN Yanyun,YANG Wencai.Recognizing and extracting the information of crustal deformation belts from the gravity field[J].Chinese Journal of Geophysics,2014,57(5):1578-1587.
[13]
杨文采,孙艳云,侯遵泽,等.用于区域重力场定量解释的多尺度刻痕分析方法[J].地球物理学报,2015,58(2):520-531.YANG Wencai,SUN Yanyun,HOU Zunze,et al.An multi-scale scratch analysis method for quantitative interpretation of regional gravity fields[J].Chinese Journal of Geophysics,2015,58(2):520-531.
[14]
杨文采,孙艳云,于常青,等.重力场多尺度刻痕分析与满加尔坳陷深层构造[J].地质学报,2015,89(2):211-221.YANG Wencai,SUN Yanyun,YU Changqing,et al.Multi-scale scratch analysis of gravity field and deep structures in Manjar depression[J].Acta Geologica Sinica,2015,89(2):211-221.
[15]
付丽华,阮曙芬,李宏伟,等.基于谱矩的地学特征因子提取方法及其应用[J].地质论评,2017,63(1):246-255.FU Lihua,RUAN Shufen,LI Hongwei,et al.The spectrum moments-based approach to geo-science features extraction and its application[J].Geological Review,2017,63(1):246-255.
[16]
付丽华,杨文采.谱矩方法在磁源体深度反演中的应用研究[J].地球物理学报,2018,61(7):3044-3054.FU Lihua,YANG Wencai.Depth evaluation of magnetic sources by spectral moment analysis[J].Chinese Journal of Geophysics,2018,61(7):3044-3054.
[17]
Thomas T R.Rough Surfaces[M].Imperial College Press,London,1999.
[18]
Longuet H M S.The statistical geometry of random surfaces[J].Journal of the American Mathematics Society,1962,(13):105-142.
[19]
Yanagi K,Hara S,Endoh T.Summit identification of anisotropic surface texture and directionality assessment based on asperity tip geometry[J].International Journal of Machine Tools and Manufacture,2001,41(13):1863-1871.
[20]
黄逸云.三维随机表面形貌识别[J].浙江大学学报,1984,18(2):138-148.HUANG Yiyun.The characterization of the three-dimensional random surface topography[J].Journal of Zhejiang University,1984,18(2):138-148.
[21]
黄逸云.随机表面二阶谱矩和统计不变量的几何解释及其图解法[J].浙江大学学报,1985,19(6):143-153.HUANG Yiyun.Geometrical interpretation and graphical solution of second order spectrum moments and statistical invariants for random surface characterization[J].Journal of Zhejiang University,1985,19(6):143-153.
[22]
杨文采,孙艳云,侯遵泽,等.用于塔里木地壳构造成像的重力场谱矩方法研究[J].地球物理学报,2017,60(8):3140-3150.YANG Wencai,SUN Yanyun,HOU Zunze,et al.A study on spectral moments of gravity field with application to crustal structure imaging of Tarim basin[J].Chinese Journal of Geophysics,2017,60(8):3140-3150.
[23]
孙艳云.从重力场提取地壳变形带信息的刻痕分析方法研究[D].北京:中国地质大学(北京),2015.SUN Yanyun.The Scratch Analysis Method for Information Extraction of Crustal Deformation Belts From Gravity Field[D].Chinese University of Geo-sciences(Beijing),Beijing,2015.
[24]
杨文采,王家林,钟慧智,等.塔里木盆地航磁场分析与磁源体结构[J].地球物理学报,2012,55(4):1278-1287.YANG Wencai,WANG Jialin,ZHONG Huizhi,et al.Analysis of regional magnetic field and source structure in Tarim Basin[J].Chinese Journal of Geophy-sics,2012,55(4):1278-1287.
[25]
王彦国,罗潇,邓居智,等.基于改进tilt梯度的三维磁异常解释技术[J].石油地球物理勘探,2019,54(3):685-691.WANG Yanguo,LUO Xiao,DENG Juzhi,et al.3D magnetic data interpretation based on improved tilt angle[J].Oil Geophysical Prospecting,2019,54(3):685-691.
[26]
马国庆,孟庆发,李丽丽,等.利用重/磁场梯度比值函数计算地质体深度[J].石油地球物理勘探,2019,54(1):229-234.MA Guoqing,MENG Qingfa,LI Lili,et al.Gradient ratio function of gravity and magnetic data for geolo-gical body depth calculation[J].Oil Geophysical Prospecting,2019,54(1):229-234.
[27]
马国庆,李丽丽,杜晓娟.磁张量数据的边界识别和解释方法[J].石油地球物理勘探,2012,47(5):815-821.MA Guoqing,LI Lili,DU Xiaojuan.Boundary detection and interpretation by magnetic gradient tensor data[J].Oil Geophysical Prospecting,2012,47(5):815-821.
