Coal Geology & Exploration
Abstract
Large interpretation errors may exist in exploration areas with obvious conductivity anisotropy when applying tunnel-hole transient electromagnetic method. In this paper, the control equation is built by introducing the conductivity anisotropy tensor, which allows the current density of the rectangular loop source to be added into the Maxwell equation Ampere loop theorem based on the finite difference time domain (FDTD) algorithm in order to realize the loading of any current source. The control equation is discretized by the difference instead of the differential to realize the forward calculation of the tunnel-hole transient electromagnetic 3D model. Forward modeling is carried out for a full-space model, a layered model and a 3D block model based on the accuracy comparison between the analytical and numerical solution. Then the influence and the mode of the conductivity anisotropy on the three-component transient electromagnetic responses of the tunnel-hole is analyzed. The results show that the vertical axis conductivity has little effect on the tunnel-hole transient electromagnetic three-component responses, and the horizontal axis conductivity has a great influence on it. The ∂Bx/∂t response is mainly influenced by the y-axis conductivity, while the ∂By/∂t response is mainly influenced by the conductivity of the x-axis. The orientation of the anisotropic medium and the direction of the main axial conductivity can be identified through the relationship between the shape and amplitude of the three-component responses. When the all-space medium where the anomalous body is located is anisotropic in conductivity, the anomalous response generated from the anomalous body will be overwhelmed by the anomalous response generated by the anisotropic conductivity of the all-space medium. Thus we lead the conclusion that the characteristics of conductivity axial anisotropy cannot be ignored in the process of tunnel-hole transient electromagnetic interpretation. This research could provide guidance for the anisotropic interpretation of tunnel-hole transient electromagnetic, reference for anisotropic inversion.
Keywords
anisotropy, conductivity, tunnel-hole transient electromagnetic method, finite difference time domain, three-component, advanced detection
DOI
10.12363/issn.1001-1986.21.12.0878
Recommended Citation
GUO Jianlei, GAO Xiaowei, HOU Yanwei,
et al.
(2022)
"Research on three-component responses characteristics of axial anisotropy tunnel-hole transient electromagnetic,"
Coal Geology & Exploration: Vol. 50:
Iss.
7, Article 8.
DOI: 10.12363/issn.1001-1986.21.12.0878
Available at:
https://cge.researchcommons.org/journal/vol50/iss7/8
Reference
[1] 吴金刚,毛俊睿,柴沛. 2000—2017年我国煤矿重特大水灾事故规律分析[J]. 煤矿安全,2019,50(10):239−242. WU Jingang,MAO Junrui,CHAI Pei. Law of major & particular major coal mine flooding accidents in China from 2000 to 2017[J]. Safety in Coal Mines,2019,50(10):239−242.
[2] 于景邨,刘志新,刘树才,等. 深部采场突水构造矿井瞬变电磁法探查理论及应用[J]. 煤炭学报,2007,32(8):818−821. YU Jingcun,LIU Zhixin,LIU Shucai,et al. Theoretical analysis of mine transient electromagnetic method and its application in detecting water burst structures in deep coal stope[J]. Journal of China Coal Society,2007,32(8):818−821.
[3] 李世宁. 矿井巷孔瞬变电磁法应用研究[D]. 徐州:中国矿业大学,2016.
LI Shining. Study on the mine tunnel−drilling transient electromagnetic method and its application[D]. Xuzhou:China University of Mining & Technology,2016.
[4] 孙怀凤,程铭,宿传玺,等. 隧(巷)道掘进工作面–钻孔瞬变电磁超前探测方法物理模拟试验研究[J]. 煤炭学报,2017,42(8):2110−2115. SUN Huaifeng,CHENG Ming,SU Chuanxi,et al. Tunnel face–borehole transient electromagnetic method and its physical experimental studies[J]. Journal of China Coal Society,2017,42(8):2110−2115.
[5] 陈丁,程久龙,王阿明. 矿井全空间孔中瞬变电磁响应积分方程法数值模拟研究[J]. 地球物理学报,2018,61(10):4182−4193. CHEN Ding,CHENG Jiulong,WANG Aming. Numerical simulation of drillhole transient electromagnetic response in mine roadway whole space using integral euation method[J]. Chinese Journal of Geophysics,2018,61(10):4182−4193.
[6] 范涛. 矿井巷道–钻孔瞬变电磁二维拟地震反演方法及应用[J]. 煤炭学报,2019,44(6):1804−1816. FAN Tao. Method and application on 2D pseudo–seismic inversion of roadway–borehole transient electromagnetic detection in coal mine[J]. Journal of China Coal Society,2019,44(6):1804−1816.
[7] 范涛. 基于钻孔瞬变电磁的煤层气压裂效果检测方法[J]. 煤炭学报,2020,45(9):3195−3207. FAN Tao. Coalbed methane fracturing effectiveness test using bore–hole transient electromagnetic method[J]. Journal of China Coal Society,2020,45(9):3195−3207.
[8] 范涛,李鸿泰,刘磊,等. 基于聚类算法的钻孔瞬变电磁视电阻率立体成像方法[J]. 地球科学与环境学报,2021,43(2):343−355. FAN Tao,LI Hongtai,LIU Lei,et al. Stereo imaging method of borehole transient electromagnetic apparent resistivity based on clustering algorithm[J]. Journal of Earth Sciences and Environment,2021,43(2):343−355.
[9] 赵睿,范涛,李宇腾,等. 钻孔瞬变电磁探测在水力压裂效果检测中的应用[J]. 煤田地质与勘探,2020,48(4):41−45. ZHAO Rui,FAN Tao,LI Yuteng,et al. Application of borehole transient electromagnetic detection in the test of hydraulic fracturing effect[J]. Coal Geology & Exploration,2020,48(4):41−45.
[10] 朱树来. 矿井孔中瞬变电磁法探测技术研究与应用[J]. 地下空间与工程学报,2020,16(增刊1):236−240. ZHU Shulai. Research and application of drillhole transient electromagnetic detection technology[J]. Chinese Journal of Underground Space and Engineering,2020,16(Sup.1):236−240.
[11] EVERETT M E,CONSTABLE S. Electric dipole fields over an anisotropic seafloor:Theory and application to the structure of 40 Ma Pacific Ocean lithosphere[J]. Geophysical Journal International,1999,136:41−56.
[12] YIN Changchun,QI Yanfu,LIU Yunhe. 3D time−domain airborne EM modeling for an arbitrarily anisotropic earth[J]. Journal of Applied Geophysics,2016,131:163−178.
[13] 刘云鹤,殷长春,蔡晶,等. 电磁勘探中各向异性研究现状和展望[J]. 地球物理学报,2018,61(8):3468−3487. LIU Yunhe,YIN Changchun,CAI Jing,et al. Review on research of electrical anisotropy in electromagnetic prospecting[J]. Chinese Journal of Geophysics,2018,61(8):3468−3487.
[14] GROOM R W,BAILEY R C. Some effects of multiple in homogeneities in magnetotellurics[J]. Geophysical Prospecting,1989,37(6):697−712.
[15] HAN Bo,LI Yuguo,LI Gang. 3D forward modeling of magnetotelluric fields in general anisotropic media and its numerical implementation in Julia[J]. Geophysics,2018,83(4):29−40.
[16] 杨长福,林长佑,孙崇赤,等. 二维对称各向异性介质大地电磁反演[J]. 地震学报,2005,27(3):339−345. YANG Changfu,LIN Changyou,SUN Chongchi,et al. Inversions for MT data in 2D symmetrical anisotropic media[J]. Acta Seismologica Sinica,2005,27(3):339−345.
[17] 杨淼鑫,谭捍东,梁盛军. 大地电磁主轴各向异性二维理论模型反演分析[J]. 科学技术与工程,2019,19(4):52−57. YANG Miaoxin,TAN Handong,LIANG Shengjun. A two–dimensional magnetotelluric inversion analysis for principal axis anisotropy theoretical models[J]. Science Technology and Engineering,2019,19(4):52−57.
[18] 内吉,萨拉夫. 大地介质电磁各向异性问题[M]. 邹永辉,陈德志译,北京:地质出版社,1992.
[19] NEWMAN G A,COMMER M,CARAZZONE J J. Imaging CSEM data in the presence of electrical anisotropy[J]. Geophysics,2010,75(2):51−61.
[20] 李勇,吴小平,林品荣,等. 电导率任意各向异性海洋可控源电磁三维矢量有限元数值模拟[J]. 地球物理学报,2017,60(5):1955−1978. LI Yong,WU Xiaoping,LIN Pinrong,et al. Three–dimensional modeling of marine controlled source electromagnetism using the vector finite element method for arbitrary anisotropic media[J]. Chinese Journal of Geophysics,2017,60(5):1955−1978.
[21] 彭荣华,胡祥云,李建慧,等. 频率域海洋可控源电磁垂直各向异性三维反演[J]. 地球物理学报,2019,62(6):2165−2175. PENG Ronghua,HU Xiangyun,LI Jianhui,et al. 3D inversion of freuency−domain marine CSEM data in VTI media[J]. Chinese Journal of Geophysics,2019,62(6):2165−2175.
[22] YIN Changchun. Geoelectrical inversion for a one−dimensional anisotropic model and inherent non−uniueness[J]. Geophysical Journal International,2000,140(1):11−23.
[23] REN Zhengyong,QIU Lewen,TANG Jingtian,et al. 3–D direct current resistivity anisotropic modelling by goal–oriented adaptive finite element methods[J]. Geophysical Journal International,2018,212:76−87.
[24] HERWANGER J V,PAIN C C,BINLEY A,et al. Anisotropic resistivity tomography[J]. Geophysical Journal International,2004,158(2):409−425.
[25] NEKUT A G. Anisotropy induction logging[J]. Geophysics,1994,59(3):345−350.
[26] 杨守文,汪宏年,陈桂波,等. 倾斜各向异性地层中多分量电磁波测井响应三维时域有限差分(FDTD)算法[J]. 地球物理学报,2009,52(3):833−841. YANG Shouwen,WANG Hongnian,CHEN Guibo,et al. The 3D finite difference time domain (FDTD) algorithm of response of multi–component electromagnetic well logging tool in a deviated and layered anisotropic formation[J]. Chinese Journal of Geophysics,2009,52(3):833−841.
[27] YIN Changchun,FRASER D C. The effect of the electrical anisotropy on the response of helicopter−borne freuency−domain electromagnetic systems[J]. Geophysical Prospecting,2004,52(5):399−416.
[28] 齐彦福,李貅,殷长春,等. 时间域航空电磁各向异性大地三维自适应有限元正演研究[J]. 地球物理学报,2020,63(6):2434−2448. QI Yanfu,LI Xiu,YIN Changchun,et al. Three–dimensional adaptive finite–element method for time–domain airborne EM over an anisotropic earth[J]. Chinese Journal of Geophysics,2020,63(6):2434−2448.
[29] 周建美,刘文韬,李貅,等. 双轴各向异性介质中回线源瞬变电磁三维拟态有限体积正演算法[J]. 地球物理学报,2018,61(1):368−378. ZHOU Jianmei,LIU Wentao,LI Xiu,et al. Research on the 3D mimetic finite volume method for loop–source TEM response in biaxial anisotropic formation[J]. Chinese Journal of Geophysics,2018,61(1):368−378.
[30] 刘亚军,胡祥云,彭荣华,等. 回线源瞬变电磁法有限体积三维任意各向异性正演及分析[J]. 地球物理学报,2019,62(5):1954−1968. LIU Yajun,HU Xiangyun,PENG Ronghua,et al. 3D forward modeling and analysis of the loop–source transient electromagnetic method based on the finite–volume method for an arbitrarily anisotropic medium[J]. Chinese Journal of Geophysics,2019,62(5):1954−1968.
[31] 程久龙,黄少华,温来福,等. 矿井全空间三维主轴各向异性介质瞬变电磁场响应特征研究[J]. 煤炭学报,2019,44(1):278−286. CHENG Jiulong,HUANG Shaohua,WEN Laifu,et al. Response characteristics of three−dimensional axial anisotropic media for transient electromagnetic method in underground whole−space[J]. Journal of China Coal Society,2019,44(1):278−286.
[32] 孙怀凤,李貅,李术才,等. 考虑关断时间的回线源激发TEM三维时域有限差分正演[J]. 地球物理学报,2013,56(3):1049−1064. SUN Huaifeng,LI Xiu,LI Shucai,et al. Three−dimensional FDTD modeling of TEM excited by a loop source considering ramp time[J]. Chinese Journal of Geophysics,2013,56(3):1049−1064.
[33] 伍宇明,兰恒星,黄为清. 龙马溪页岩弹性各向异性与矿物分布之间的关系探讨[J]. 地球物理学报,2020,63(5):1856−1866. WU Yuming,LAN Hengxing,HUANG Weiqing. Discussion on the relationship between elastic anisotropy and mineral distribution of Longmaxi shale[J]. Chinese Journal of Geophysics,2020,63(5):1856−1866.
[34] 解滔,卢军. 含裂隙介质中的视电阻率各向异性变化[J]. 地球物理学报,2020,63(4):1675−1694. XIE Tao,LU Jun. Apparent resistivity anisotropic variations in cracked medium[J]. Chinese Journal of Geophysics,2020,63(4):1675−1694.
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