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《Chinese Journal of Geophysics》 2011-04
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Calculation of low-frequency electromagnetic Green's functions using two-level approximate discrete complex image method

LIU Yun-He,LIU Guo-Xing,WENG Ai-Hua~*,CHEN Yu-Ling,JIA Ding-Yu,LIAO Xiang-Dong College of Geoexploration Science and Technology,Jilin University,Changchun 130026,China  
This paper discusses how to apply the two-level approximate discrete complex image method to fast and accurately compute the low frequency Green's functions.Through numerical simulation,the approximate parameters in the computation of low frequency electromagnetic field are determined as following:(1) Sampling number N of spectral Green's function in the two-approximate integral interval is ten times of the number of approximate polynomial M;(2) The integral interval is about 40/r,where r is the offset;(3) The conjunction value L_1 of the two level integral interval is Q times of the ratio of the total size of the integral interval L_2 and the sampling number N_1 of the second integral interval;(4) The optimal value of Q is determined by the cross point of the spectral Green's function approximate error against Q and the horizontal axis.The application of this principle to the calculation of the electromagnetic fields from a finite bipolar source shows that the calculated apparent resistivity agrees with direct integral result very well yet has higher accuracy,showing that the proposed strategy is feasible.
【Fund】: 国家自然科学基金(40874050)资助
【CateGory Index】: P631.325
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