A secant infinite approximation algorithm for the full-time apparent resistivity in transient electromagnetic method
ZENG Qingning1,2, LUO Ying2, LIU Shuai2, LONG Chao1,2
1. Key Laboratory of Cognitive Radio and Information Processing, Ministry of Education, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China; 2. College of Information and Telecommunications, Guilin University of Electronic Technology, Gui-lin, Guangxi 541004, China
Abstract：In the geology exploration with the transient electromagnetic method (TEM),the apparent resistivity calculation is quite important as the appa-rent resistivity may intuitively indicate underground geological bodies.However,conventional approximation formulas usually lead a large error in the apparent resistivity calculation.According to the characteristics of implicit functions of apparent resistivity for half-space central-loop TEM,we propose in this paper a secant infinite approximation algorithm for the full-time apparent resistivity in the transient electromagnetic method,in which the secant method is used to calculate the roots of non-linear functions.The proposed algorithm avoids complicated derivative calculations of implicit functions.Simulation and real data examples show that the proposed algorithm has faster convergence than the bisection algorithm and can calculate with arbitrary accuracy the full-time apparent resistivity for half-space central-loop TEM.
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