航空瞬变电磁反演中灵敏度的快速高精度计算

doi:10.13229/j.cnki.jdxbgxb201506041

Abstract

Abstract: To meet the requirements of the sensitivities during the airborne electromagnetic inversion iteration, a variable step size difference accumulation algorithm is proposed. Based on the idea of replacing the derivative by difference, and adjusting the accumulating time by difference step coefficient, a fast high-precision algorithm is realized. The sensitivity matrix of multi-group earth model is calculated. The results show that the error of the sensitivity matrix is within 0.1% when the coefficient of difference step is usually selected 10. Comparison with the routine center differential algorithm and the analytical method indicates that the variable step size difference accumulation algorithm is superior to center differential algorithm in calculation accuracy, and is better than analytical method in calculation speed. Finally, the proposed algorithm is applied to airborne inversion simulation to prove its effectiveness.

Key words: perambulation technology, airborne time domain electromagnetic, sensitivities, variable step size difference accumulating algorithm, inversion

CLC Number:

P631

WANG Qi, LIN Jun, YU Sheng-bao, WANG Ling-qun, LI Bing-bing, ZHU Kai-guang. Calculation of sensitivities for airborne electromagnetic inversion progress[J].吉林大学学报(工学版), 2015, 45(6): 2020-2025.

References

[1] 晋光文. 大地电磁资料的灵敏度研究[J]. 地球物理学报,1991,34(3):465-473.
Jin Guang-wen. Research on sensitivities for the magnetotelluric data[J]. Chinese Journal of Geophysics,1991,34(3):465-473.
[2] 肖晓,汤井田. 大地电磁测深二维灵敏度分析[C]∥第十届中国国际地球电磁学术讨论会论文集.南昌,2011:230-232.
Xiao Xiao,Tang Jing-tian.Sensitivity analysis of two-dimensional magnetotelluric data[C]∥The 10th China International Geo-electromagnetic Workshop.Nanchang,2011:230-232.
[3] Farquharson C G, Oldenburg D W. Approximate sensitivities for the electromagnetic inverse problem[J]. Geophysical Journal International,1996,126(1):235-252.
[4] McGillivray P R, Oldenburg D W. Calculation of sensitivities for the frequency-domain electromagnetic problem[J]. Geophysical Journal International,1994,116(1):1-4.
[5] 沈金松,孙文博. 电磁响应的互换原理及其在响应灵敏度计算中的应用[J]. 勘探地球物理进展,2008,31(1):25-33.
Shen Jin-song, Sun Wen-bo. Reciprocity of electromagnetic response and its application in sensitivity calculation[J]. Progress in Exploration Geophysics,2008,31(1):25-33.
[6] 李建平,李桐林,张辉, 等. 不规则回线源层状介质瞬变电磁场正反演研究及应用[J]. 吉林大学学报: 地球科学版,2006,35(6):790-795.
Li Jian- ping, Li Tong-lin,Zhang Hui,et al. Study and application of the TEM forward and inversion problem of irregular loop source over the layered medium[J]. Journal of Jilin University (Earth Science Edition),2006,35(6):790-795.
[7] 林长佑,扬世荣. 瞬变电磁晚期场资料的一维反演[J]. 西北地震学报,1994,16(2):71-78.
Lin Chang-you,Yang Shi-rong. 1D inversion of transient electromagnetic late time field[J]. Northwestern Seismological Journal,1994,16(2):71-78.
[8] 熊彬, 罗延钟, 强建科. 瞬变电磁2.5维反演中灵敏度矩阵计算方法[J]. 地球物理学进展,2004,19(3):616-620.
Xiong Bin, Luo Yan-zhong, Qiang Jian-ke. Methods for calculating sensitivities for 2.5-D transient electromagnetic inversion[J]. Progress in Geophysics,2004,19(3):616-620.
[9] 毛立峰. 超宽带电磁法正演模拟及反演成像[D]. 成都:成都理工大学信息工程学院,2007.
Mao Li-feng. The forward simulation and inversion imaging of the ultra wide band electromagnetic method[D]. Chengdu:College of Information Engineering,Chengdu University of Technology,2007.
[10] 胡祖志, 胡祥云,何展翔. 大地电磁非线性共轭梯度拟三维反演[J]. 地球物理学报,2006,49(4):1226-1234.
Hu Zu-zhi, Hu Xiang-yun,He Zhan-xiang. Pseudo-three-dimensional magnetotelluric inversion using nonlinear conjugate gradients[J]. Chinese Journal of Geophysics,2006,49(4):1226-1234.
[11] Rodi W, Mackie R L. Nonlinear conjugate gradients algorithm for 2-D magnetotelluric inversion[J]. Geophysics,2001,66(1):174-187.
[12] Spitzer K. The three-dimensional dc sensitivity for surface and subsurface sources[J]. Geophysical Journal International,1998,134(3):736-746.
[13] 罗勇. 时间域航空电磁一维正反演研究[D]. 成都:成都理工大学地球物理学院,2013.
Luo Yong. The modeling and inverse of one dimensional time domain electromagnetic[D]. Chengdu:College of Geophysics,Chengdu University of Technology,2013.
[14] Constable S C, Parker R L, Constable C G. Occam's inversion; a practical algorithm for generating smooth models from electromagnetic sounding data[J]. Geophysics,1987,52(3): 289-300.
[15] 周道卿,谭捍东,王卫平. 频域航空电磁资料Occam反演研究[J]. 物探与化探,2006,30(2):162-165.
Zhou Dao-qing, Tan Han-dong,Wang Wei-ping. The Occam inversion in FAEM data processing[J]. Geophysical & Geochemical Exploration,2006,30(2):162-165.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

Comments

Recommended 0

No Suggested Reading articles found!

Calculation of sensitivities for airborne electromagnetic inversion progress

RICH HTML

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 5

Metrics

Comments

Recommended 0

[1]	LIN Jun, ZHAO Yue, JIANG Chuan-dong, WANG Ying-ji. New surface MRS method based on optimized Block inversion [J]. 吉林大学学报(工学版), 2017, 47(2): 530-539.
[2]	GAO Ming-liang, YU Sheng-bao, ZHENG Jian-bo, XU Chang, ZHANG Kun, LUAN Hui. Application of PSBP method in high-density two-dimensional resistivity inversion [J]. 吉林大学学报(工学版), 2015, 45(6): 2026-2033.
[3]	ZHOU Feng-dao, WANG Jin-yu, TANG Hong-zhong, ZHANG He, ZHOU Ji-yu. Multi-frequency digital drive signal generation technology in near surface electromagnetic detection domain [J]. 吉林大学学报(工学版), 2013, 43(03): 682-687.
[4]	ZHANG You-An, ZHANG You-Gen. Two stages guidance to control impact time and impact angle for multimissiles [J]. 吉林大学学报(工学版), 2010, 40(05): 1442-1447.
[5]	Zhang You-an, Wang Hong-ran, Cheng Ji-hong. Discretetime overload control design for winged missile using dynamic inversion and three timescale separation [J]. 吉林大学学报(工学版), 2006, 36(06): 1008-1013.