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Transient electromagnetic one-dimensional inversion based on differential evolution algorithm |
WANG Shaojie1,2, ZHOU Lei1,2, XIE Xingbing1,2, MAO Yurong1,2, CHENG Jianzhong1,2, YAN Liangjun1,2 |
1. School of Geophysics and Petroleum Resources, Yangtze University, Wuhan, Hubei 430100, China; 2. Key Laboratory of Petroleum Resources and Exploration Technology of Ministry of Education, Yangtze University, Wuhan, Hubei 430100, China |
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Abstract The transient electromagnetic (TEM) data collected in practice encompasses both electromagnetic induction and induced polarization (IP) effects. Accurately extracting information on resistivity and polarization is crucial in the interpretation of electrical source TEM data. Therefore, firstly, the forward modeling is achieved by the finite-length electric source TEM method with a Cole-Cole complex resistivity model. On this basis, a one-dimensional inversion method of electrical source TEM based on a differential evolution algorithm is proposed. Based on the traditional differential evolution algorithm, the reverse learning strategy and the adaptive adjustment of control parameters are introduced to accelerate the convergence of the inversion. Meanwhile, constraint conditions are introduced into the objective function to form the minimum structure inversion, which reduces the multi-solution of the inversion. Based on the typical three-layer geoelectric model and complex multilayer model, the theoretical model is tested, and the resistivity and polarization of the model can be effectively restored by the inversion results. Finally, the measured data are used for inversion, and the inversion resistivity is consistent with that obtained by OCCAM. On the basis of the resistivity constraint, the polarization information is obtained by further inversion. Based on this resistivity constraint, further inversion is performed to obtain polarization information. The inversion results indicate that the algorithm proposed in this paper can accurately extract resistivity information from the measured data and obtain polarization distribution of underground media. It demonstrates the accuracy and applicability of the algorithm.
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Received: 13 August 2023
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[1] |
王新宇,严良俊,毛玉蓉.电性源瞬变电磁法油气藏动态监测模拟分析[J].石油地球物理勘探,2022,57(2):459-466.WANG Xinyu,YAN Liangjun,MAO Yurong.Simulation and analysis of dynamic monitoring of oil and gas reservoir based on grounded electric source TEM[J].Oil Geophysical Prospecting,2022,57(2):459-466.
|
[2] |
DANIELSEN J E,AUKEN E,JØRGENSEN F,et al.The application of the transient electromagnetic method in hydrogeophysical surveys[J].Journal of Applied Geophysics,2003,53(4):181-198.
|
[3] |
杨云见,王绪本,刘雪军,等.横向约束瞬变电磁拟三维反演[J].石油地球物理勘探,2021,56(1):201-208.YANG Yunjian,WANG Xuben,LIU Xuejun,et al.A quasi-3D TEM inversion based on lateral constraints[J].Oil Geophysical Prospecting,2021,56(1):201-208.
|
[4] |
金杨.长导线源瞬变电磁约束反演[D].四川成都:电子科技大学,2019.JIN Yang.Long Wire Source Transient Electromagnetic Constrained Inversion[D].University of Electronic Science and Technology of China,Chengdu,Sichuan,2019.
|
[5] |
WAIT J R,FULLER J A.Transmission line theory for an insulated linear antenna in a fluid- or air-filled borehole[J].Applied Physics,1973,1(6):311-316.
|
[6] |
NABIGHIAN M N.Macnae J C.Time domain electromagnetic prospecting methods[J].Electromagnetic Methods in Applied Geophysics,1991,2:991.
|
[7] |
LEPPIN M. Electromagnetic modeling of 3-D sources over 2-D in homogeneities in the time domain[J]. Geophysics, 1992, 57(8):994-1003.
|
[8] |
MIERNIK K,BOGACZ A, KOZUBAL A, et al.Pareto joint inversion of 2D magnetotelluric and gravity data:Towards practical applications[J].Acta Geophysica,2016, 64:1655-1672.
|
[9] |
殷长春,朴化荣.电磁测深法视电阻率定义问题的研究[J].物探与化探,1991(4):290-299.YIN Changchun,PIAO Huarong.A study of the defini- tion of apparent resistivity in electromagnetic sounding[J].Geophysical and Geochemical Exploration,1991(4):290-299.
|
[10] |
王华军.正余弦变换的数值滤波算法[J].工程地球物理学报,2004,1(4):329-335.WANG Huajun.Digital filter algorithm of the sine and cosine transform[J].Chinese Journal of Engineering Geophysics,2004,1(4):329-335.
|
[11] |
李建慧,刘树才,朱自强,等.矩形回线激发的电磁场与磁场的对称关系研究[J].中南大学学报(自然科学版),2010,41(2):638-642.LI Jianhui,LIU Shucai,ZHU Ziqiang,et al.Relationship between electromagnetic field and magnetic field's symmetric excited by rectangular loop[J].Journal of Central South University (Science and Technology),2010,41(2):638-642.
|
[12] |
李建慧,朱自强,刘树才,等.基于Gaver-Stehfest算法的矩形发射回线激发的瞬变电磁场[J].石油地球物理勘探,2011,46(3):489-492.LI Jianhui,ZHU Ziqiang,LIU Shucai,et al.Rectangular loop transient electromagnetic field expressed by Gaver-Stehfest algorithm[J].Oil Geophysical Prospec-ting,2011,46(3):489-492.
|
[13] |
翁爱华,刘云鹤,陈玉玲,等.矩形大定源层状模型瞬变电磁响应计算[J].地球物理学报,2010,53(3):646-650.WENG Aihua,LIU Yunhe,CHEN Yuling,et al.Computation of transient electromagnetic field from a rec-tangular loop over stratified earths[J].Chinese Journal of Geophysics,2010,53(3):646-650.
|
[14] |
NABIGHIAN M N.Quasi-static transient response of a conducting half-space:an approximate representation[J].Geophysics,1979,44(10):1637-1769.
|
[15] |
王家映.地球物理反演理论[M].湖北武汉:中国地质大学出版社,1998.
|
[16] |
潘克家,王文娟,谭永基,等.基于混合差分进化算法的地球物理线性反演[J].地球物理学报,2009,52(12):3083-3090.PAN Kejia,WANG Wenjuan,TAN Yongji,et al.Geophysical linear inversion based on hybrid differential evolution algorithm[J].Chinese Journal of Geophysics,2009,52(12):3083-3090.
|
[17] |
宋维琪,高艳珂,朱海伟.微地震资料贝叶斯理论差分进化反演方法[J].地球物理学报,2013,56(4):1331-1339.SONG Weiqi,GAO Yanke,ZHU Haiwei.The diffe-rential evolution inversion method based on Bayesian theory for micro-seismic data[J].Chinese Journal of Geophysics,2013,56(4):1331-1339.
|
[18] |
熊杰,孟小红,刘彩云,等.基于差分进化的大地电磁反演[J].物探与化探,2012,36(3):448-451.XIONG Jie,MENG Xiaohong,LIU Caiyun,et al.Magnetotelluric inversion based on differential evolution[J].Geophysical and Geochemical Exploration,2012,36(3):448-451.
|
[19] |
董莉,江沸菠,李帝铨.基于自适应差分进化算法的MT信号激电信息提取[J].石油地球物理勘探,2016,51(3):613-624.DONG Li,JIANG Feibo,LI Diquan.IP extraction from magnetotelluric sounding data based on adaptive differential evolution inversion[J].Oil Geophysical Prospecting,2016,51(3):613-624.
|
[20] |
王天意,侯征,何元勋,等.基于改进差分进化算法的大地电磁反演[J].地球物理学进展,2022,37(4):1605-1612.WANG Tianyi,HOU Zheng,HE Yuanxun,et al.Magnetotelluric inversion based on the improved diffe-rential evolution algorithm[J].Progress in Geophysics,2022,37(4):1605-1612.
|
[21] |
RAHNAMAYAN S,TIZHOOSH H R,SALAMA M M A.Opposition-based differential evolution[J].IEEE Transactions on Evolutionary Computation,2008,12(1):64-79.
|
[22] |
PELTON W H.Interpretation of Induced Polarization and Resistivity Data[D].The University of Utah,Salt Lake City,USA,1977.
|
[23] |
程见中.时频电磁法全参数反演方法研究与应用[D].湖北荆州:长江大学,2018.CHENG Jianzhong.Study and Application of Full-Para-meter Inversion Method in Time-Frequency Electromagnetic Method[D].Yangtze University,Jingzhou,Hubei,2018.
|
[24] |
STORN R,PRICE K.Differential evolution:a simple and efficient heuristic for global optimization over continuous spaces[J].Journal of Global Optimization,1997,11(4):341-359.
|
[25] |
BREST J,GREINER S,BOSKOVIC B,et al.Self-adapting control parameters in differential evolution:a comparative study on numerical benchmark problems[J].IEEE Transactions on Evolutionary Computation,2006,10(6):646-657.
|
[26] |
ZHANG J Q,SANDERSON A C.JADE:adaptive differential evolution with optional external archive[J].IEEE Transactions on Evolutionary Computation,2009,13(5):945-958.
|
[27] |
杨启文,蔡亮,薛云灿. 差分进化算法综述[J]. 模式识别与人工智能, 2008, 21(4):506-513.YANG Qiwen,CAI Liang,XUE Yuncan.A survey of differential evolution algorithms[J]. Pattern Recognition and Artificial Intelligence, 2008, 21(4):506-513.
|
[28] |
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.CHEN Xiaobin,ZHAO Guoze,TANG Ji,et al.An adaptive regularized inversion algorithm for magnetotelluric data[J].Chinese Journal of Geophysics,2005,48(4):937-946.
|
|
|
|