Please wait a minute...
浙江大学学报(工学版)
J4  2011, Vol. 45 Issue (2): 397-404    DOI: 10.3785/j.issn.1008-973X.2011.02.033
    
Transformation of total magnetic field anomaly and
gradients on irregular surface
YU Hai-long1, XU Shi-zhe1, LI Hai-xia2, WU Le-yuan 1, WEI Wei1
1.Department of Earth Sciences, Zhejiang University, Hangzhou 310027, China;2. Department of Earth
Sciences, Kunming University of Science and Technology, Kunming, 650093, China
Download:   PDF(0KB) HTML
Export: BibTeX | EndNote (RIS)      

Abstract  

The major problem of existing equivalent source methods commonly used for magnetic field anomaly transformation on irregular surface is time-consuming. It is difficult to apply these approaches to large data set of aeromagnetic survey. In this paper an efficient technique was proposed for calculating gradients from total magnetic field anomaly and transformation between horizontal and vertical gradient on irregular surface. This technique integrates interpolationiteration method with potential field transformation method in frequency domain, and it has high computation speed. The procedure consists of three steps. Firstly, upward continue the magnetic anomaly or gradients data to a flat level. Secondly, complete transformations by frequency domain method on this plane. At last, downward continue the calculated results to the topography surface. The model test results indicate that the method has good accuracy. Applying the method to real case indicates that there are good matches between transformation results and measured gradients. The validity of the technique is demonstrated.

Published: 17 March 2011
CLC:  P 631  
Service
E-mail this article
Add to my bookshelf
Add to citation manager
E-mail Alert
RSS
Articles by authors
Cite this article:

YU Hai-long, XU Shi-zhe, LI Hai-xia, WU Le-yuan , WEI Wei. Transformation of total magnetic field anomaly and
gradients on irregular surface. J4, 2011, 45(2): 397-404.

URL:

http://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2011.02.033     OR     http://www.zjujournals.com/eng/Y2011/V45/I2/397


曲面上航磁异常与梯度分量的转换方法

针对现有的主要以等效源法实现的曲面航磁异常转换方法存在计算工作量大,很难应用于实际中大面积航磁数据的转换处理,提出插值迭代法和频率域转换方法相结合,实现曲面上航磁异常和梯度分量以及梯度分量之间的快速转换方法.该方法利用插值迭代法将曲面上的航磁异常或梯度异常向上延拓到某一个平面，在该平面上利用频率域方法实现相应的转换,将转换结果延拓回原来的曲面上.模型试验结果表明,该方法具有较高的计算精度.实测数据的转换结果与实测的梯度之间具有很好的一致性,证明了方法的有效性.

［1］ 张昌达.航空磁力梯度张量测量—航空磁测技术的最新进展［J］.工程地球物理学报,2006,3(5): 354-361.
ZHANG Changda. Airborne tensor magnetic gradiometryThe latest progress of airborne magnetometric technology ［J］. Chinese Journal of Engineering Geophysics, 2006, 3(5): 354-361.
［2］ COWAN D R, BAIGENT M, COWAN S. Aeromagnetic Gradiometersa perspective ［J］. Exploration Geophysics, 1995, 26(3): 241-246.
［3］ DOLL W E, GAMEY T J, BEARD L P, et al. Airborne vertical magnetic gradient for nearsurface applications ［J］, The Leading Edge, 2006,25(1): 50-53.
［4］ 管志宁,郝天珧,姚长利.21世纪重力与磁法勘探的展望［J］.地球物理学进展,2002,17(2): 237-244.
GUAN Zhining, HAO Tianyao, YAO Changli. Prospect of Gravity and Magnetic Exploration in the 21st Century［J］. Progress in Geophysics, 2002,17(2): 237-244.
［5］ 李晓禄,蔡文良.运五飞机上航磁梯度测量系统的安装与补偿［J］.物探与化探,2006,30(3): 224-232.
LI Xiaolu, CAI Wenliang. The assembly and compensation of the aeromagnetic gradiometic system on Y5 aircraft［J］. Geophysical & Geochemical Exporation, 2006,30(3): 224-232.
［6］ NABIGHIAN M N, GRAUCH V J S, HANSEN R O. The historical development of the magnetic method in exploration ［J］. Geophysics, 2005, 70(6): 33ND-61ND.
［7］ 管志宁.地磁场与磁力勘探［M］.北京:地质出版社,2005: 176-177.
［8］ BHATTACHARYYA B K, CHAN K C. Reduction of magnetic and gravity data on an arbitrary surface acquired in a region of high topographic relief ［J］. Geophysics, 1977, 42(7): 1411-1430.
［9］ 侯重初,蔡宗熹,刘奎俊.从单层位出发建立曲面上的位场转换解释系统(一)［J］.物化探计算技术,1985,7(1): 1-12.
HOU Chongchu, CAI Zongxi, LIU Kuijun. The establishment of transformation system of potential field based on a single layer potential (1) ［J］. Computing Techniques for Geophysical and Geochemical Exploration, 1985, 7(1): 1-12.
［10］ 侯重初,蔡宗熹,刘奎俊.剖面曲线上的位场转换系统［J］.地球物理学报,1984,27(6): 573-581.
HOU Chongchu, CAI Zongxi, LIU Kuijun. Potential transformation techniques on an undulating observed profile ［J］. Chinese Journal of Geophys, 1984,27(6): 573-581.
［11］ 侯重初,蔡宗熹,刘奎俊.从偶层位出发建立曲面上的位场转换解释系统［J］.地球物理学报,1985,28(4): 410-418.
HOU Chongchu,CAI Zongxi, LIU Kuijun. Interpretation system of potential field transformation on an uneven surface from the potential of double layer ［J］. Chinese J. Geophys , 1985, 28(4): 410-418.
［12］ 管志宁,安玉林,陈维雄.曲线和曲面上磁场向上延拓和分量转换［J］.地球物理学报,1985,28(4):419-428.
GUAN Zhining, AN Yulin, CHEN Weixiong. Upward continuation and component transformation of drape profile and surface［J］. Chinese J. Geophys, 1985, 28(4): 419-428.
［13］ 王万银,潘作枢.偶层位曲面位场数据处理及转换方法［J］.西安地质学院学报,1996,18(3): 69-76.
WANG Wanyin, PAN Zuoshu. Data processing and transformation methods of potential fields on an arbitray surface with dipole layer potential technique ［J］. Journal of Xi’an College of Geology ,1996,18(3): 69-76.
［14］ 王万银,潘作枢.曲面位场数据处理及转换的三角函数法［J］.物探与化探,1997,21(3): 209-218.
WANG Wanyin, PAN Zuoshu. The trigonometric function methods for data processing and transform of curved surface potential field ［J］.Geophysical & Geochemical Exploration, 1997, 21(3): 209-218.
［15］ ITALIANO F, FEDI M, LORO G, et al. Derivative computation in a region of high topographic reliefs ［C］∥ EGM 2007 International Workshop, Innovation in EM, Grav and Mag Methods: A New Perspective for Exploration. Capri, Italy： the Italian EAGESEG Section, 2007: 15-18.
［16］ 徐世浙,余海龙.位场曲化平的插值迭代法［J］.地球物理学报,2007,50(6): 1811-1815.
XU Shizhe, YU Hailong. The interpolationiteration method for potential field continuation from undulating surface to plane ［J］. Chinese Journal of Geophys, 2007, 50(6): 1811-1815.
［17］ HANSEN R O, MIYAZAKI Y. Continuation of potential fields between arbitrary surfaces ［J］.Geophysics, 1984, 49(6): 787-795.
［18］ PILKINGTON M, URQUHART W E S. Reduction of potential field data to a horizontal plane ［J］. Geophysics, 1990, 55(5): 549-555.
［19］ 徐世浙,沈晓华,邹乐君,等.将航磁异常从飞行高度向下延拓至地形线［J］.地球物理学报,2004,47(6): 1127-1130.
XU Shizhe, SHEN Xiaohua, ZOU Lejun, et al. Downward continuation of aeromagnetic anomaly from flying altitude to terrain ［J］. Chinese Journal of Geophys,2004,47 (6): 1127-1130.
［20］ 刘金兰,王万银,于长春.逐步逼近曲化平方法研究［J］.地球物理学报,2007,50(5): 1551-1557.
LIU Jinlan, WANG Wanyin, YU Changchun. Reduction of potential field data to a horizontal plane by a successive approximation procedure［J］. Chinese J. Geophys.2007,50 (5): 1551-1557.
［21］ NABIHIAN M N. Toward a threedimensional automatic interpretation of potential data via generalized Hilbert transforms: fundamental relations［J］. Geophysics, 1984, 49 (6): 780-786.
［22］ NELSON J B. An alternate derivation of the threedimensional Hilbert transform relations from first principles ［J］. Geophysics, 1986, 51(4): 1014-1015.
［23］ NELSON J B. Calculation of the magnetic gradient tensor from total field gradient measurements and its application to geophysical interpretation ［J］. Geophysics, 1988, 53(7): 957-966.
［24］ 郭志宏.航磁及梯度数据正反演解释方法技术实用化改进及应用［D］.北京：中国地质大学,2004.
GUO Zhihong. The practical improvement of forward and inversion technique on aeromagnetic gradient data and its application ［D］. Beijing: The China University of Geosciences, 2004.
[1] ZHANG Zhi-hou,XU Shi-zhe,YU Hai-long,WU Le-yuan. Study of extending methods of iteration of downward continuation in potential field[J]. J4, 2013, 47(5): 918-922.
[2] SHI Zhan-jie, TIAN Gang, ZHAO Wen-ke, WANG Zhi-hua. Application on ultra-shallow 3D seismic exploration technology[J]. J4, 2013, 47(5): 912-917.
[3] SHEN Hong-lei, TIAN Gang,SHI Zhan-jie,ZHANG Xuan-tang,CONG Zhi-guo,YAN Li-zhi. Application of piezoelectric matched filtering technique
 in Tabamiao region[J]. J4, 2012, 46(3): 560-567.
[4] LIU Jin-lian, SHI Zhan-jie, LI Chen-xi. Inverse technology of clay-bearing carbonate reservoir[J]. J4, 2012, 46(2): 372-376.