Rectangular loop transient electromagnetic field expressed by Gaver-Stehfest algorithm
LI Jian-hui1, ZHU Zi-qiang1, LIU Shu-cai2, LIU Xin-ming2, ZENG Si-hong1, LUO Wen-xin1
1 School of Earth Sciences & Info-physics,Central South University,Changsha,Hunan 410083,China;
2 School of Resource & Geosciences,China University of Mining & Technology,Xuzhou,Jiangsu 221116,China
Abstract：In this paper,we consider rectangular transmitting loop as numerous vertical magnetic dipoles.The electric field in frequency domain excited by a rectangular loop can be deduced using loop area integral for magnetic moment.Using G-S(Gaver-Stehfest) algorithm,the electric field in time domain is obtained.Based on Faraday law of electromagnetic induction,impulse responses of magnetic induction are deduced from electric field strength step responses.We compare the induction EMF values calculated by G-S algorithm using different numbers of coefficients with the induction EMF values calculated by Zhang Chengfan.The results show that the precision of the induction EMF values calculated by G-S algorithm is highest when 14 coefficients selected,that the maximum of relative error is-3.8%;and that the precision of the induction EMF values at early times higher than at late times.
