基于横向约束的中心回线瞬变电磁一维反演

doi:10.11720/wtyht.2023.1385

Abstract
Figure/Table
References
Related Citation (3)

Download: PDF (3060 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract

To ensure the transverse continuity of the inversion results of central loop transient electromagnetic (TEM) data, it is practical to combine multiple survey points into a whole by applying transverse constraints and to establish correlations between adjacent survey points. This study employed the constraints of weighted transverse and vertical roughness to improve the correlations between adjacent survey points and thus to improve the inversion accuracy. Furthermore, this study introduced the adaptive regularization factor, which was obtained adaptively by calculating the norms of the data and the model objective functions in each iteration. In this manner, the dependence on the initial model can be reduced. Finally, using the algorithm developed, this study conducted the inversion of the measured data and data from three-dimensional forward modeling based on the unstructured time-domain finite element method. The inversion results are consistent with the actual results, indicating that the proposed algorithm in this study can enhance the continuity of the inversion results and has a high anti-noise ability.

Key words： center loop TEM transverse constraint adaptive regularization three-dimensional forward modeling

Received: 02 August 2022 Published: 11 October 2023

ZTFLH:

P631

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	Guo-Pei WU
	Ying-Ying ZHANG
	Hua-Liang ZHAO
	Zhong-Hang ZHOU
	Yi-bin LI

Cite this article:

Guo-Pei WU,Ying-Ying ZHANG,Hua-Liang ZHAO, et al. One-dimensional inversion of central loop transient electromagnetic data based on transverse constraints[J]. Geophysical and Geochemical Exploration, 2023, 47(4): 1024-1032.

URL:

https://www.wutanyuhuatan.com/EN/10.11720/wtyht.2023.1385 OR https://www.wutanyuhuatan.com/EN/Y2023/V47/I4/1024

Schematic diagram of the 3D theoretical model

View of 3D theoretical model

Single-point inversion

Inversion results of different lateral weighting factors

Inversion results of different vertical weighting factors

Inversion results of lateral weighting factor 0.5 and vertical weighting factor 0.1

Inversion results of white Gaussian noise with different degrees

Lateral constrained inversion results of white Gaussian noise with c =1
(lateral weighting factor 0.5, vertical weighting factor 0.1)

Processing results of transient electromagnetic exploration in Heijing County

[1]	牛之琏. 时间域电磁法原理[M]. 长沙: 中南工业大学出版社, 1992.
[1]	Niu Z L. The theory of time-domain electromagnetic methods[M]. Changsha: Central South University of Technology Press, 1992.
[2]	朴化荣. 电磁测深法原理[M]. 北京: 地质出版社, 1990.
[2]	Piao H R. The theory of electromagnetic sounding[M]. Beijing: Geology Publishing House, 1990.
[3]	蒋邦远. 实用近区磁源瞬变电磁法勘探[M]. 北京: 地质出版社, 1998.
[3]	Jiang B Y. Practical near zone source transient em sounding[M]. Beijing: Geological Publishing House, 1998.
[4]	方文藻, 李予国, 李貅. 瞬变电磁测深法原理[M]. 西安: 西北工业大学出版社, 1993.
[4]	Fang W Z, Li Y G, Li X. Principle of transient electromagnetic sounding[M]. Xi’an: Northwestern Polytechnical University Press, 1993.
[5]	张莹莹. 电性源瞬变电磁法综述[J]. 物探与化探, 2021, 45(4):809-823.
[5]	Zhang Y Y. Review on the study of grounded-source transient electromagnetic method[J]. Geophysical and Geochemical Exploration, 2021, 45(4):809-823.
[6]	薛国强, 潘冬明, 于景邨. 煤矿采空区地球物理探测应用综述[J]. 地球物理学进展, 2018, 33(5):2187-2192.
[6]	Xue G Q, Pan D M, Yu J C. Review the applications of geophysical methods for mapping coal-mine voids[J]. Progrss in Geophysics, 2018, 33(5):2187-2192.
[7]	底青云, 朱日祥, 薛国强, 等. 我国深地资源电磁探测新技术研究进展[J]. 地球物理学报, 2019, 62(6):2128-2138.
[7]	Di Q Y, Zhu R X, Xue G Q, et al. New development of the electromagnetic (EM) methods for deep exploration[J]. Chinese Journal of Geophysics, 2019, 62(6):2128-2138.
[8]	薛国强, 李貅, 底青云. 瞬变电磁法正反演问题研究进展[J]. 地球物理学进展, 2008, 90(4):1165-1172.
[8]	Xue G Q, Li X, Di Q Y. Research progress in TEM forward modeling and inversion calculation[J]. Progress in Geophysics, 2008, 90(4):1165-1172.
[9]	赵越, 李貅, 王祎鹏. 大回线源瞬变电磁全域视电阻率定义[J]. 地球物理学进展, 2015, 30(4):1856-1863.
[9]	Zhao Y, Li X, Wang Y P, et al. Full domain apparent resistivity definition for large loop TEM[J]. Progress in Geophysics, 2015, 30(4):1856-1863.
[10]	王园园, 刘斌, 王晨. 基于阻尼最小二乘法的瞬变电磁反演算法研究[J]. 电子测试, 2013, 265(s1):1-3,7.
[10]	Wang Y Y, Liu B, Wang C. Study on transient electromagnetic inversion based ondamped least square method[J]. Electronic Testing, 2013, 265 (s1):1-3,7.
[11]	张维. 大定源瞬变电磁法一维正反演研究[D]. 长沙: 中南大学, 2013.
[11]	Zhang W. The study about 1D forward and inversion of large loop TEM[D]. Changsha: Central South University, 2013
[12]	戴锐, 张达, 冀虎. 大定源瞬变电磁法反演效果分析[J]. 有色金属:矿山部分, 2017, 69(3):1-4.
[12]	Dai R, Zhang D, Ji H. Analysis of large loop transient electromagnetic method inversion effect[J]. Nonferrous Metals:Mining, 2017, 69(3):1-4.
[13]	Constable S C, Parker R L, Constable C G. Occam's inversion:A practical algorithm for generating smoothmodels from electromagnetic sounding data[J]. Geophysics, 1987, 52(3):289-300.
[14]	翁爱华. Occam反演及其在瞬变电磁测深中的应用[J]. 地质与勘探, 2007, 412(5):74-76.
[14]	Weng A H. Occam’s inversion and its application in transient electromagnetic method[J]. Geology and Prospecting, 2007, 412 (5):74-76.
[15]	陈小斌, 赵国泽, 汤吉, 等. 大地电磁自适应正则化反演算法[J]. 地球物理学报, 2005, 48(4):937-946.
[15]	Chen X B, Zhao G Z, Tang J, et al. An adaptive regularized inversion algorithm for magnetotelluric data[J]. Chinese Journal of Geophysics, 2005, 48(4):937-946.
[16]	徐玉聪, 赵宁, 秦策, 等. 大定源瞬变电磁一维自适应正则化反演[J]. 地质与勘探, 2015, 51(2):360-365.
[16]	Xu Y C, Zhao N, Qin C, et al. One-dimensional adaptive regularization inversion of transient electromagnetic sounding with a large fixed source[J]. Geology and Exploration, 2015, 51(2):360-365.
[17]	姚伟华. 大回线源瞬变电磁一维自适应反演方法及应用[J]. 物探与化探, 2019, 43(3):584-588.
[17]	Yao W H. The one-dimensional adaptive inversion method for large loop source TEM and its application[J]. Geophysical and Geochemical, 2019, 43(3):584-588.
[18]	李刚, 潘和平, 王智, 等. 回线源瞬变电磁法一维反演算法[J]. 煤田地质与勘探, 2017, 45(5):161-166,172.
[18]	Li G, Pan H P, Wang Z, et al. One-dimensional inversion for loop source transient electromagnetic method[J]. Coal Geology and Exploration, 2017, 45(5):161-166,172.
[19]	Auken E, Thomsen K, Sorensen. Lateral constrained inversion (lci) of profile oriented data-the resistivity case[C]// 6^th Eage/EEGS Meeting, 2000.
[34]	Mao L F, Wang X B, Li W J. Research on 1D inversion method of fixed-wing airborne transient electromagnetic record with flight altitude inversion simultaneously[J]. Chinese Journal of Geophysics, 2011, 54(8):2136-2147.
[20]	Auken E, Christiansen A V. Layered and laterally constrained 2D inversion of resistivity data[J]. Geophysics, 2004, 69(3):752-761.
[21]	Christiansen A, Auken E. Optimizing a layered and laterally constrained 2D inversion of resistivity data using Broyden's update and 1D derivatives[J]. Journal of Applied Geophysics, 2004, 56(4):247-261.
[22]	Auken E, Christiansen A V, Bo H J, et al. Piece wise 1D laterally constrained inversion of resistivity data[J]. Geophysical Prospecting, 2005, 53(4):497-506.
[23]	Auken E, Christiansen A V, Jacobsen L H, et al. A resolution study of buried valleys using laterally constrained inversion of TEM data[J]. Journal of Applied Geophysics, 2008, 65(1):10-20.
[24]	蔡晶, 齐彦福, 殷长春. 频率域航空电磁数据的加权横向约束反演[J]. 地球物理学报, 2014, 57(3):953-960.
[24]	Cai J, Qi Y F, Yin C H. Weighted Laterally-constrained inversion of frequency-domain airborne EM data[J]. Chinese Journal of Geophysics, 2014, 57(1) :953-960.
[25]	殷长春, 邱长凯, 刘云鹤, 等. 时间域航空电磁数据加权横向约束反演[J]. 吉林大学学报:地球科学版, 2016, 46(1):254-261.
[25]	Yin C H, Qiu C K, Liu Y H, et al. Weighted laterally-constrained inversion of time-domain airborne electromagnetic data[J]. Journal of Jilin University:Earth Science Edition, 2016, 46(1):254-261.
[26]	林兴元, 陆从德, 钟炳辉, 等. 时间域航空电磁横向分段组合约束反演[J]. 石油地球物理勘探, 2019, 54(6):1376-1382.
[26]	Lin X Y, Lu C D, Zhong B H, et al. An invernsion scheme with lateral segmented-com-bined constraints for time domain airborne electro-magnetic data[J]. Oil Geophysical Prospecting, 2019, 54(6):1376-1382.
[27]	宋婉婷, 陈卫营. SOTEM数据拟二维反演研究与应用[J]. 地球科学与环境学报, 2022, 44(1):132-142.
[27]	Song W T, Chen W Y. Study on Quasi-2D inversion for SOTEM data and its application[J]. Journal of Earth Sciences and Environment, 2022, 44(1):132-142.
[28]	米萨克N. 纳比吉安. 勘査地球物理电磁法[M].赵经祥译. 北京: 地质出版社, 1992.
[28]	Nabighian M N. Survey geophysical electromagnetic method[M].Translated by Zhao Jingxiang. Beijing: Geological Publishing House, 1992.
[29]	杨文采. 地球物理反演的理论与方法[M]. 北京: 地质出版社, 1997.
[29]	Yang W C. Theory and method of geophysical inversion[M]. Beijing: Geological Publishing House, 1997.
[30]	邱长凯. 时间域航空电磁法一维正反演研究[D]. 长春: 吉林大学, 2016.
[30]	Qiu C K. One-dimensional modeling and inversion for time-domain airborne electromagnetic problems[D]. Changchun: Jilin University, 2016.
[31]	陈卫营, 李海, 薛国强, 等. SOTEM数据一维OCCAM反演及其应用于三维模型的效果[J]. 地球物理学报, 2017, 60(9):3667-3676.
[31]	Chen W Y, Li H, Xue G Q, et al. 1D OCCAM inversion of SOTEM data and its application to 3D models[J]. Chinese Journal of Geophysics, 2017, 60(9):3667-3676.
[32]	Colin G F, Douglas W O. Non-linear inversion using general measures of data misfit and model structure[J]. Geophysical Journal International, 1998, 134(1):213-227.
[33]	齐彦福, 智庆全, 李貅, 等. 考虑关断时间的地面瞬变电磁三维带地形反演[J]. 地球物理学报, 2021, 64(7):2566-2577.
[33]	Qi Y F, Zhi Q Q, Li X, et al. Three dimensional ground TEM inversion over a topographic earth considering ramp time[J]. Chinese Journal of Geophysics, 2021, 64(7):2566-2577.
[34]	毛立峰, 王绪本, 李文杰. 飞行高度同时反演的固定翼航空瞬变电磁一维反演[J]. 地球物理学报, 2011, 54(8):2136-2147.