Cross-hole electromagnetic attenuation tomography is a method that uses the amplitude information of electromagnetic waves to invert the distribution of the attenuation constant of the medium by the amplitude change of the electromagnetic wave from the transmitting to the receiving. Transmitter amplitude is also called the initial amplitude, which is generally unknown. Its accuracy largely affects the tomographic results and it needs to be obtained before inversion or by special inversion methods. This paper summarizes four initial amplitude processing methods, i.e., linear fitting method, matrix inversion method, dual-frequency electromagnetic wave method and neighboring traces method. The feasibility of these four methods is verified by synthetic data, and the advantages and disadvantages of each method are pointed out: Linear fitting method is suitable for the case where the physical property changes little; matrix inversion has low requirements for physical condition, but the amount of calculation is relatively large.; dual-frequency electromagnetic wave method can directly obtain the conductivity distribution, but only for the good conductor case; the applicable situation of neighboring traces method is the most extensive, but it is susceptible to interference.
Wang J S, Bo F L, Ma C . Application of mine penetration CT imaging technology to probe geological tectonics of fully mechanized top coal caving mining face[J]. Coal Science and Technology, 2008,36(10):93-96.
[2]
Fullagar P K, Livelybrooks D W, Zhang P , et al. Radio tomography and borehole radar delineation of the McConnell nickel sulfide deposit, Sudbury, Ontario, CanadaRadio and Radar Delineation[J]. Geophysics, 2000,65(6):1920-1930.
doi: 10.1190/1.1444876
[3]
肖玉林 . 煤矿综采工作面无线电波透视技术研究[D]. 合肥:安徽理工大学, 2010.
[3]
XiaoY L . Study on Radio Wave Penetration Technology for Mechanized Coal Face[D]. Hefei:Anhui University Of Science & Technology, 2010.
[4]
Zhou B, Fullagar P K . Delineation of sulphide ore-zones by borehole radar tomography at Hellyer Mine, Australia[J]. Journal of Applied Geophysics, 2001,47(3-4):261-269.
doi: 10.1016/S0926-9851(01)00070-2
[5]
Peterson, Jr J E . Pre-inversion corrections and analysis of radar tomographic data[J]. Journal of Environmental & Engineering Geophysics, 2001,6(1):1-18.
Yu S J, Yan S J . Analysis on the absorpting characteristics of electromagnetic wave in coal seam with soft coal,roof and floor[J]. Coal Geology & Exporation, 1999,27(6):60-62.
Guo F, Li P G, Qi S , et al. Discussion of solving initial field intensity of radio tunnel perspective based on classified probe lines[J]. Coal Science and Technology, 2013,41(12):97-99,104.
Cao J X, Zhu J S . Transmission EM condictivity tomography[J]. Computing Techniqes for Geophysical and Geochemical Exploration, 1997,19(4):329-332.
[9]
Holliger K, Musil M, Maurer H R . Ray-based amplitude tomography for crosshole georadar data: A numerical assessment[J]. Journal of Applied Geophysics, 2001,47(3-4):285-298.
doi: 10.1016/S0926-9851(01)00072-6
Zhang H, Pan D M, Liu P , et al. Simulation and analysis of the influence of initial field intensity on the inversion results[J]. Progress in Geophysics, 2016,31(6):2788-2795.
Xiao Y L, Wu R X, Yan J P , et al. Field strength propagation law of radio wave penetration and effective perspective width for coal face[J]. Journal of China Coal Society, 2017,42(3):712-718.
Ning S N, Zhang S H, Yang F , et al. Radio wave tomography rechnique and its application in underground radio wave probing[J]. Journal of China Coal Society, 2001,26(5):468-472.
Liu X M, Liu S C, Jiang Z H , et al. Study on propagation attenuation features of random incidence angle electromagetic wave in lossy medium[J]. Coal Science and Technology, 2012,40(6):96-99.
[14]
Olsson O, Falk L, Forslund O , et al. Borehole radar applied to the characterization of hydraulically conductive fracture zones in crystalline rock 1[J]. Geophysical prospecting, 1992,40(2):109-142.
doi: 10.1111/gpr.1992.40.issue-2
[15]
Holliger K, Bergmann T . Numerical modeling of borehole georadar data[J]. Geophysics, 2002,67(4):1249-1257.
doi: 10.1190/1.1500387
[16]
王飞 . 跨孔雷达走时层析成像反演方法的研究[D]. 吉林大学, 2014.
[16]
Wang F . Reseach on crosshole radar traveltime tomography[D]. Jinlin University, 2014.
[17]
Paige C C, Saunders M A . LSQR: An algorithm for sparse linear equations and sparse least squares[J]. ACM Transactions on Mathematical Software (TOMS), 1982,8(1):43-71.
doi: 10.1145/355984.355989
Yang W, Liu S X, Feng Y Q . A study of the LSQR algorithm for cross-hole tomography[J]. Feophysical & Geochemical Exploration, 2008,32(2):199-202.
[19]
Maurer H, Musil M . Effects and removal of systematic errors in crosshole georadar attenuation tomography[J]. Journal of Applied Geophysics, 2004,55(3-4):261-270.
doi: 10.1016/j.jappgeo.2004.02.003
Wang W J, Pan K J, Cao J X , et al. Electrical conductivity imaging using dual-frequency EM data based on Tikhonov regularization[J]. Chinese Journal of Geophysics, 2009,52(3):750-757.
[21]
Gloaguen E, Marcotte D, Giroux B , et al. Stochastic borehole radar velocity and attenuation tomographies using cokriging and cosimulation[J]. Journal of Applied Geophysics, 2007,62(2):141-157.
doi: 10.1016/j.jappgeo.2006.10.001
Wang H, Chang X, Liu Y K , et al. Seismic neighboring traces attenuation tomography in time domain[J]. Chinese Journal of Geophysics, 2001,44(3):396-403.
[23]
Cao J, He Z, Zhu J , et al. Conductivity tomography at two frequencies[J]. Geophysics, 2003,68(2):516-522.
doi: 10.1190/1.1567219
[24]
曾昭发, 刘四新, 冯晅 . 探地雷达原理与应用[M]. 北京: 电子工业出版社, 2010.
[24]
Zao S F, Liu S X, Feng X. Ground penetrating radar principle and application[M]. Beijing: Publishing House of Electronics Industry, 2010.