Discretization of normalized total gradient based on power mean
Wang Yanguo, Wu Ziying, Deng Juzhi, Yang Yaxin, Huang Song, Luo Xiao
1. Fundamental Science on Radioactive Geology and Exploration Technology Laboratory, East China University of Technology, Nanchang, Jiangxi 330013, China
Abstract:The normalized total gradient algorithm is a commonly used method for data processing and interpretation of gravity and magnetic data.How-ever,this method cannot recognize the information of multi-sources and identify the geometry of geologic bodies.In order to improve the practicability of the normalized total gradient method,the iterative filtering is used for the stability calculation of downward continuation.And then the power mean function is used for normalized processing.Finally survey lines are discretized on the basis of curve characteristics of the ground total gradient anomaly.Thereout,we propose a discretization of normalized total gradient method based on power mean.Model tests show that the new method can effectively obtain the locations of field sources and the geometry of sources which can be estimated by the best power time.In application,the discretization of the normalized total gradient method based on power mean has higher inversion accuracy and stronger geological explanatory ability than conventional method.
王彦国, 吴姿颖, 邓居智, 杨亚新, 黄松, 罗潇. 基于幂次平均的离散归一化总梯度法[J]. 石油地球物理勘探, 2018, 53(6): 1351-1364.
Wang Yanguo, Wu Ziying, Deng Juzhi, Yang Yaxin, Huang Song, Luo Xiao. Discretization of normalized total gradient based on power mean. Oil Geophysical Prospecting, 2018, 53(6): 1351-1364.
郭良辉,孟小红,石磊.磁异常△T三维相关成像.地球物理学报,2010,53(2):435-441.Guo Lianghui,Meng Xiaohong,Shi Lei.3D correlation imaging for magnetic anomaly △T data.Chinese Journal of Geophysics,2010,53(2):435-441.
[2]
Li Yaoguo,Oldenburg D W.Fast inversion of large-scale magnetic data using wavelet transforms and a logarithmic barrier method.Geophysical Journal International,2003,152:251-265.
[3]
姚长利,赫天珧,管志宁等.重磁遗传算法三维反演中高速计算及有效存储方法技术.地球物理学报,2003,46(2):252-258.Yao Changli,He TianYao,Guan Zhining et al.High speed computation and effective storage in 3-D gravity and magnetic inversion based on genetic algorithms.Chinese Journal of Geophysics,2003,46(2):252-258.
[4]
姚长利,郑元满,张聿文.重磁异常三维物性反演随机子域法方法技术.地球物理学报,2007,50(5):1576-1583.Yao Changli,Zheng Yuanman,Zhang Yuwen.3-D gravity and magnetic inversion for physical properties using stochastic subspaces.Chinese Journal of Geophysics,2007,50(5):1576-1583.
[5]
Peters L J.The direct approach to magnetic interpretation and its practical application.Geophysics,1949,14(3):290-320.
[6]
Thompson D T.EULDPH:A new technique for making computer assisted depth estimates from magnetic data.Geophysics,1982,47(1):31-37.
[7]
Reid A B,Allsop J M,Granser H et al.Magnetic interpretation in three dimensions using Euler deconvolution.Geophysics,1990,55(1):80-91.
[8]
张凤旭,张凤琴,刘财等.断裂构造精细解释技术-三方向小子域滤波.地球物理学报,2007,50(5):1543-1550.Zhang Fengxu,Zhang Fengqin,Liu Cai et al.A technique for elaborate exploration of faulted structures:three-directional small subdomain filtering.Chinese Journal of Geophysics,2007,50(5):1543-1550.
[9]
Salem A,Ravat D.A combined analytic signal and Euler method (AN-EUl) for automatic interpretation of magnetic data.Geophysics,2003,68(6):1952-1961.
[10]
Salem A,Williams S,Fairhead D et al.Interpretation of magnetic data using tilt-angle derivatives.Geophysics,2008,71(1):1-10.
[11]
马国庆,杜晓娟,李丽丽.解释位场全张量数据的张量局部波数法及其与常规波数法的比较.地球物理学报,2012,55(7):2450-2461.Ma Guoqing,Du Xiaojuan,Li Lili.Comparison of the tensor local wave number method with the conventional local wave number for interpretation of total tensor data of potential fields.Chinese Journal of Geophysics,2012,55(7):2450-2461.
[12]
Marson I,Klingele E E.Advantages of using the vertical gradient of gravity for 3-D interpretation.Geophysics,1993,58(11):1588-1595.
[13]
Stavrev P.Euler deconvolution using differential similarity transformations of gravity or magnetic anomalies.Geophysics Prospect,1997,45(2):207-246.
[14]
Barbosa V C F,Silva J B C,Medeiros W E.Stability analysis and improvement of structural index estimation in Euler deconvolution.Geophysics,1999,64(1):48-60.
[15]
Pierre B K.Weighted Euler decomvolution of gravity data.Geophysics,1998,63(5):1595-1603.
[16]
Barbosa V C F,Silva J B C,AraúzoB M J.Finite-difference Euler deconvolution algorithm applied to the interpretation of magnetic data from northern Bulgaria.Pure and Applied Geophysics,2005,162(3):591-608.
[17]
Clanclara B and Marcak H.Geophysical anomaly interpretation of potential fields by means of singular points method and filtering.Geophysical Prospecting,1979,27(1):251-260.
[18]
肖一鸣.重力归一化总梯度法.石油地球物理勘探,1981,16(3):47-56.Xiao Yiming.The normalized total gradient method.OGP,1981,16(3):47-56.
[19]
肖一鸣,张林祥.重力归一化总梯度法在寻找油气中的应用.石油地球物理勘探,1984,19(3):247-254.Xiao Yiming,Zhang Linxiang.The application of total gradient of gravity in funding oil-gas.OGP,1984,19(3):247-254.
[20]
侯重初,施志群.实现重磁异常规格化总梯度的傅式积分法.石油勘探,1986,25(3):75-86.Hou Zhongchu,Shi Zhiqun.Implementation of the normalized total gradient of gravitational-magentic anomaly by Fourier integration.GPP,1986,25(3):75-86.
[21]
张凤旭,孟令顺,张凤琴等.利用Hilbert变换计算重力归一化总梯度.地球物理学报,2005,48(3):704-709.Zhang Fengxu,Meng Lingshun,Zhang Fengqin et al.Calculating normalized full gradient of gravity using Hilbert transform.Chinese Journal of Geophysics,2005,48(3):704-709.
[22]
肖鹏飞,李明,徐世浙等.重力归一化总梯度的稳定解法.石油地球物理勘探,2006,41(5):596-600.Xiao Pengfei,Li Ming,Xu Shizhe et al.Stable solution of normalized total gravity gradient.OGP,2006,41(5):596-600.
[23]
张凤琴,张凤旭,刘财等.利用DCT法计算重力归一化总梯度.吉林大学学报(地球科学版),2007,37(4):804-808.Zhang Fengqin,Zhang Fengxu,Liu Cai et al.Using DCT to calculate normalized full gradient of gravity anomalies.Journal of Jilin University (Earth Science Edition),2007,37(4):804-808.
[24]
郭灿灿,张凤旭,王彦国等.基于泰勒级数迭代的重力归一化总梯度.世界地质,2012,31(4):824-830.Guo Cancan,Zhang Fengxu,Wang Yanguo et al.Calculating normalized full gradient of gravity anomalies using Taylor series iteration.Global Geology,2012,31(4):824-830.
[25]
苏超,杜晓娟,马国庆等.几何平均重力归一化总梯度在山东招远金矿采空区的应用.世界地质,2014,33(4):889-894.Su Chao,Du Xiaojuan,Ma Guoqing et al.Application of normalized full gradient method with geometric mean in mined-out area of Zhaoyuan gold deposit in Shandong.Global Geology,2014,33(4):889-894.