Three-dimensional Focusing Inversion of Magnetic Target in the Presence of Significant Remanence

doi:10.3969/j.issn.1000-1093.2018.11.014

Abstract

Abstract: A three-dimensional focusing inversion approach of magnetic target is proposed for the effect of remanent magnetization on the true magnetization direction in the process of inversion. For an isolate magnetic source, its magnetization direction is estimated, and then the estimated magnetization direction is incorporated into an inversion algorithm. For multi-magnetic sources, the direct inversion of the total modulus data is made. Total modulus data depends weakly upon magnetization direction. In the iterative process, the depth weighting matrix and minimal support matrix are added in the inversion model of Tikhonov regularization theoretical framework to obtain the objective function and avoid the multiple solutions of inversion problem. Objective function is calculated by singular value decomposition, and the unbiased predictive risk estimator principle is used to adaptively determine the regularization parameter in the iterative process, thereby realizing the iterative process automation. Simulated and experimental results show that the proposed inversion method can reflect the outline form of magnetic anomaly and has good model resolution in the presence of significant remanence. Key

Key words: magnetictarget, significantremanence, magnetizationdirection, totalmodulusdata, singularvaluedecomposition, unbiasedpredictiveriskestimator

CLC Number:

P318.1⁺1

LI Jin-peng, ZHANG Ying-tang, FAN Hong-bo, LI Zhi-ning, ZHANG Guang. Three-dimensional Focusing Inversion of Magnetic Target in the Presence of Significant Remanence[J]. Acta Armamentarii, 2018, 39(11): 2202-2210.

References

［1］ Dressel I, Barckhausen U, Heyde I. A 3D gravity and magnetic model for the Entenschnabel area (German North Sea)［J］. International Journal of Earth Sciences, 2018, 107(1): 177-190.
［2］周国华，肖昌汉，刘胜道，等. 一种舰艇磁隐身中磁场推算的新方法［J］.兵工学报，2009,30(7):951-957.
ZHOU Guo-hua, XIAO Chang-han, LIU Sheng-dao, et al. A new magnetic field extrapolation method in magnetic silencing of ships［J］. Acta Armamentarii，2009,30(7):951-957. (in Chinese)
［3］陈召曦，孟小红，郭良辉.重磁数据三维物性反演方法进展［J］.地球物理学进展， 2012, 27(2): 503-511.
CHEN Zhao-xi，MENG Xiao-hong, GUO Liang-hui. Review of 3D property inversion of gravity and magnetic data［J］. Progress in Geophysics，2012, 27(2): 503-511. (in Chinese)
［4］尹刚，张英堂，米松林，等.基于倾斜角和Helbig方法的多磁源目标反演技术［J］.上海交通大学学报,2017,51(5):577-584.

YIN Gang, ZHANG Ying-tang, MI Song-lin, et al. Multiple magnetic targets inversion technique based on tilt angle and Helbig method［J］. Journal of Shanghai Jiao Tong University ,2017,51(5): 577-584.(in Chinese)
［5］刘双,冯杰,高文利,等.强剩磁强退磁条件下的二维井中磁测反演［J］.地球物理学报,2013,56(12) : 4297-4309.
LIU Shuang, FENG Jie, GAO Wen-li, et al. 2D inversion for borehole magnetic data in the presence of significant remanence and demagnetization［J］. Chinese Journal of Geophysics, 2013, 56(12): 4297-4309. (in Chinese)
［6］ Liu S, Hu X Y, Zhang H L, et al. 3D magnetization vector inversion of magnetic data: improving and comparing methods［J］. Pure and Applied Geophysics, 2017, 174(12): 4421-4444.
［7］ Gerovska D, Arauzo-bravo M J, Stavrev P. Estimating the magnetization direction of sources from southeast Bulgaria through correlation between reduced-to-the-pole and total magnitude anomalies［J］. Geophysical Prospecting, 2009, 57(4): 491-505.
［8］石磊，孟小红，郭良辉，等.剩磁影响下磁性体磁化方向估计的一种简单算法［J］.地球物理学进展,2014,29(4):1748-1751.
SHI Lei, MENG Xiao-hong, GUO Liang-hui, et al. A simple algorithm for estimating the magnetization direction of magnetic bodies under the influence of remanent magnetization［J］. Progress in Geophysics, 2014, 29(4):1748-1751. (in Chinese)
［9］ Pilkington M, Beiki M. Mitigating remanent magnetization effects in magnetic data using the normalized source strength［J］. Geophysics, 2013, 78(3): J25-J32.

［10］ Li S L, Li Y. Inversion of magnetic anomaly on rugged observation surface in the presence of strong remanent magnetization［J］. Geophysics, 2014, 79(2):J11-J19.
［11］ Liu S, Hu X Y, Liu T Y, et al. Magnetization vector imaging for borehole magnetic data based on magnetic anomaly［J］. Geophy- sics, 2013, 78(6):D429-D444.
［12］张志勇，周峰，李泽林.基于最小梯度支撑的2.5D井地电位法正则化聚焦反演［J］.中国有色金属学报，2015，25(11): 3182-3189.
ZHANG Zhi-yong, ZHOU Feng, LI Ze-lin. 2.5D focusing inversion for borehole-surface electrical data based on minimum gradient support function［J］.The Chinese Journal of Nonferrous Metals， 2015, 25(11): 3182-3189. (in Chinese)
［13］ Karaoulis M, Revil A, Minsley B, et al. Time-lapse gravity inversion with an active time constraint［J］. Geophysical Journal of International, 2013, 196(2): 748-759.
［14］吴小平，汪彤彤.利用共轭梯度法的电阻率三维反演若干问题研究［J］.地震地质，2001,23(12):321-327.
WU Xiao-ping, WANG Tong-tong. Study on some problems for 3D resistivity inversion using conjugate gradient［J］.Seismology and Geology，2001, 23(12): 321-327. (in Chinese)
［15］朱自强，曹书锦，鲁光银.基于混合正则化的重力场约束反演［J］.中国有色金属学报，2014,24(10):2601-2608.
ZHU Zi-qiang, CAO Shu-jin, LU Guang-yin. 3D gravity inversion with bound constraint based on hyper-parameter regularization［J］.The Chinese Journal of Nonferrous Metals, 2014,24(10): 2601-2608.(in Chinese)
［16］杨娇娇，刘展，陈晓红，等.基于深度加权的重力梯度张量数据的3D聚焦反演［J］.世界地质，2015,34(1):210-218.
YANG Jiao-jiao, LIU Zhan, CHEN Xiao-hong, et al. Three-dimensional focusing inversion of gravity gradient tensor data based on depth weighting［J］.Global Geology，2015,34(1): 210-218. (in Chinese)
［17］秦朋波,黄大年.重力和重力梯度数据联合聚焦反演方法［J］.地球物理学报,2016,59(6):2203-2224.
QIN Peng-bo, HUANG Da-nian. Integrated gravity and gravity gradient data focusing inversion［J］. Chinese Journal of Geophy- sics, 2016,59(6):2203-2224.(in Chinese)
［18］ Wang T H, Huang D N, Ma G Q, et al. Improved preconditioned conjugate gradient algorithm and application in 3D inversion of gravity-gradiometry data［J］. Applied Geophysics, 2017, 14(2): 301-313.
［19］ Li Y G, Oldenburg D W. 3-D inversion of magnetic data［J］. Geophysics, 1996, 61(2): 394-408.
［20］ Vatankhah S, Renaut R A, Ardestani V E. Regularization parameter estimation for underdetermined problems by the χ² principle with application to 2D focusing gravity inversion［J］. Inverse Problems, 2014, 30(8): 085002.

第39卷第11期
2018 年11月兵工学报ACTA
ARMAMENTARIIVol.39No.11Nov. 2018

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