A quasi-3D TEM inversion based on lateral constraints
YANG Yunjian1,2, WANG Xuben1, LIU Xuejun2, HE Zhanxiang3, MI Xiaoli2, TANG Biyan2
1. College of Geophysics, Chengdu University of Technology, Chengdu, Sichuan 610059, China; 2. GME & Geochemical Surveys, BGP, CNPC, Zhuozhou, Hebei 072751, China; 3. SUSTech Academy for Advanced Interdisciplinary Studies, Shenzhen, Guangdong 518055, China
Abstract：One-dimensional inversion is one of the main methods for processing of TEM data, but usually there is poor continuity on one-dimensional inversion profile. The principle of lateral constraint is introduced to construct quasi-3D transient electromagnetic method (TEM) inversion. Considering that the actual 3D measuring grid is often not strictly regular, the quasi-3D TEM data inversion is constructed with the distance-weighted adjacent stations lateral constraint, and the Gauss-Newton method is used to solve the inversion equation, which can not only effectively suppressed the irrational model mutation generated by single station 1D inversion, also has no the requirement on the regularity of the 3D measuring grid. The tests of the synthetic data and field data verified the effectiveness of this method.
杨云见, 王绪本, 刘雪军, 何展翔, 米晓利, 唐必晏. 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, HE Zhanxiang, MI Xiaoli, TANG Biyan. A quasi-3D TEM inversion based on lateral constraints. Oil Geophysical Prospecting, 2021, 56(1): 201-208.
Danielsen J E,Auken E,Jørgensen F,et al. The application of the transient electromagnetic method in hydrogeophysical surveys[J]. Journal of Applied Geo-physics,2003,53(4):181-198.
[2]
Zhou N N,Xue G Q,Chen W Y,et al. Large-depth hydro-geological detection in the North China-type coalfield through short-offset grounded-wire TEM[J]. Environmental Earth Sciences,2015,74(3):2393-2404.
Men Y Y,Yang Y J,Zhu Y S. The investigation of underground aquifer layer for oilfield sewage reinjection with TDEM[C]. International Geophysical Conference,Qingdao,China,2017,1005-1007.
[5]
邓宇,金留青,李万山,等.近地表岩溶探测方法[J].石油地球物理勘探,2018,53(2):430-436.DENG Yu,JIN Liuqing,LI Wanshan,et al. An integrated geophysical method for near-surface karst survey[J]. Oil Geophysical Prospecting,2018,53(2):430-436.
[6]
Commer M. Three-dimensional Inversion of Transient Electromagnetic Data:A Comparative Study[D]. Universität zu Köln,Köln,Germany,2003.
[7]
Haber E,Oldenburg D W,Shekhtman R. Inversion of time domain three-dimensional electromagnetic data[J]. Geophysical Journal of the Royal Astronomical Society,2007,171(2):550-564.
[8]
Börner R U. Numerical modeling in geo-electromagnetic:advances and challenges[J]. Surveys in Geophysics,2010,31(2):225-245.
[9]
Yang D K,Oldenburg D W,Haber E. 3-D inversion of airborne electromagnetic data parallelized and accelerated by local mesh and adaptive soundings[J]. Geophysical Journal International,2014,196(3):1492-1507.
Liu Y H,Yin C C,Ren X Y,et al. 3D parallel inversion of time-domain airborne EM data[J]. Applied Geophysics,2016,13(4):701-711.
[12]
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,2008,23(4):1165-1172.XUE Guoqiang,LI Xiu,DI Qingyun. Research progress in TEM forward modeling and inversion calculation[J].Progress in Geophysics,2008,23(4):1165-1172.
[13]
薛国强,闫述,陈卫营.接地源短偏移瞬变电磁法研究展望[J].地球物理学进展,2014,29(1):177-181.XUE Guoqiang,YAN Shu,CHEN Weiying. Research prospect to grounded-wire TEM with short-offset[J]. Progress in Geophysics,2014,29(1):177-181.
[14]
薛国强,于景邨.瞬变电磁法在煤炭领域的研究与应用新进展[J].地球物理学进展,2017,32(1):319-326.XUE Guoqiang,YU Jingcun. New development of TEM research and application in coal mine exploration[J]. Progress in Geophysics,2017,32(1):319-326.
[15]
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):954-960.CAI Jing,QI Yanfu,YIN Changchun. Weighted la-terally-constrained inversion of frequency-domain airborne EM data[J]. Chinese Journal of Geophysics,2014,57(3):954-960.
[16]
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.YIN Changchun,QIU Changkai,LIU Yunhe,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.
[17]
曾庆宁,罗瀛,刘帅,等.瞬变电磁全期视电阻率的弦截无限逼近算法[J].石油地球物理勘探,2019,54(6):1371-1375.ZENG Qingning,LUO Ying,LIU Shuai,et al. A secant infinite approximation algorithm for the full-time apparent resistivity in transient electromagnetic me-thod[J]. Oil Geophysical Prospecting,2019,54(6):1371-1375.
[18]
翁爱华,王雪秋.长偏移距瞬变电磁测深甚晚期响应及视电阻率的数值计算[J].地震地质,2003,25(4):664-670.WENG Aihua,WANG Xueqiu. Numerical simulations of very-late time response and apparent resistivity in long-offset TEM sounding[J]. Seismology and Geology,2003,25(4):664-670.
[19]
Farquharson C G,Oldenburg D W,Routh P S. Simultaneous 1D inversion of loop-loop electromagnetic data for magnetic susceptibility and electrical conducti-vity[J]. Geophysics,2003,68(6):1857-1869.
[20]
陈清礼,严良俊,付志红,等.长偏移距瞬变电磁法全区视电阻率的二分搜索数值算法[J].石油地球物理勘探,2009,44(6):779-782.CHEN Qingli,YAN Liangjun,FU Zhihong,et al. The all-time apparent resistivity bisearch numerical algorithm based on long offset transient electromagnetic method[J]. Oil Geophysical Prospecting,2009,44(6):779-782.
[21]
Christensen N B. Fast approximate 1D modelling and inversion of transient electromagnetic data[J]. Geophysical Prospecting,2016,64(6):1620-1631.
[22]
Auken E,Christiansen A V. Layered and laterally constrained 2D inversion of resistivity data[J]. Geophysics,2004,69(3):752-761.
[23]
Vallée M A,Smith R S. Inversion of airborne time-domain electromagnetic data to a 1D structure using lateral constraints[J]. Near Surface Geophysics,2009,7(1):63-71.
[24]
Viezzoli A,Auken E,Munday T. Spatially constrai-ned inversion for quasi-3D modelling of airborne electromagnetic data:an application for environmental assessment in the lower Murray region of south Australia[J]. Exploration Geophysics,2009,40(2):173-183.
[25]
殷长春,朱姣,邱长凯,等.航空电磁拟三维模型空间约束反演[J].地球物理学报,2018,61(6):2537-2547.YIN Changchun,ZHU Jiao,QIU Changkai,et al. Spatially constrained inversion for airborne EM data using quasi-3D models[J]. Chinese Journal of Geophysics,2018,61(6):2537-2547.
[26]
米萨克N,纳比吉安编,赵经祥译.勘查地球物理——电磁法[M].北京:地质出版社,1992.
[27]
Steven C C,Robert L P,Catherine G C. Occam's inversion:A practical algorithm for generating smooth models from electromagnetic sounding data[J]. Geophysics,1987,52(3):289-300.
