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《Chinese Journal of Geophysics》 2003-05
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NUMERICAL CALCULATION OF ALL-TIME APPARENT RESISTIVITY FOR THE CENTRAL LOOP TRANSIENT ELECTROMAGNETIC METHOD

BAI DENGHAI 1 MAXWELL A MEJU 2 LU JIAN 3 WANG LIFENG 1 HE ZHAOHAI 1 1 Institute of Geology, China Seismological Bureau, Beijing 100029, China 2 Department of Environmental Science, Lancaster University, Lancaster LA1 4YQ, UK 3 College of Electronic ngineering, Dalian University of Technology, Dalian 116023, China  
A numerical method for calculating the exact all-time apparent resistivity for time domain transient electromagnetic method is proposed in this paper. According to the behaviours of the kernel function Y′(Z) for  B_z / T , the transient can be distinguished into early-time ( Z 1.6), transition point ( Z =1.6) and late-time ( Z 1.6) stages for a central loop configuration. First the exact early-time and late-time apparent resisitivities are calculated , then the exact all-time curve is founded by combining the two over the transition point. Although the kernel function Y(Z) for B_z is single valued, there is also a transition point Z =1.6 and the early-time and late-time curves can be obtained for Z 1.6 and Z ≤1.6, respectively. For the numerical calculation an iterative procedure is employed. The relative error in the all-time apparent resistivity will be less than 0.5 % when the variation of the parameter Z is defined as Δ Z 0.005 Z in the iteration. Model calculation and field data experiments show that the resulting all-time apparent resistivity can be easily defined with greater accuracy and higher resolution than that based on early-time and late-time asymptotic definitions.
【Fund】: 国家自然科学基金项目 (4 99740 17);; 英国皇家奖学金资助
【CateGory Index】: P631.325
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1 BAI DENGHAI~1 MAXWELL A MEJU~2 LU JIAN~3 WANG LIFENG~1 HE ZHAOHAI~1 1 Institute of Geology,China Seismological Bureau,Beijing 100029,China 2 Department of Environmental Science,Lancaster University,Lancaster LA1 4 YQ,UK 3 College of Electronic ngineering,Dalian University of Technology,Dalian 116023,China;NUMERICAL CALCULATION OF ALL-TIME APPARENT RESISTIVITY FOR THE CENTRAL LOOP TRANSIENT ELECTROMAGNETIC METHOD[A];[C];2003
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3 JI Yan-ju, LIN Jun,CHENG De-fu,YU Sheng-bao (Institute of Intellectual Measu rement and Control, Jilin University,Changchun130026,China);DEVELOPMENT AND APPLICATION OF DATA PROCESSING SOFTWARE OF ATEM-Ⅱ TRANSIENT ELE CTROMAGNETIC INSTRUMENT[J];Journal of Changchun University of Science and Technology;2003-02
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