On Taylor-Series Approximation of the Response of Electromagnetic Field on a Two Layered Earth Model With a Conductive Overburden

Abstract

We investigate the structure of a two layered earth by presenting a mathematical model of electromagnetic response. The integral expressions provide the electric fields on the ground surface, and Taylor-series expansion are used to find the solution of the electric field. Numerical solutions are computed and plotted to show the behaviors of the electric field while some parameters are assigned approximately. The responses of electric field from the ground surface are influenced by the conductivity of overburden.

Mathematical forward problem of EM response from a right skewed curve in overburden

“…The conductivity of host medium, z ≥ d, is a constant signified by σ 2 (z) = σ 0 . The conductivity ground profile in this paper is dissimilar from the models used by Yooyuanyong and Siew [4], Ketchanwit [2] and Haarsa and Pothat [5].…”

“…Yooyuanyong and Siew [4] gave the electromagnetic response of a disk beneath an exponentially varying conductive overburden. Haarsa and Pothat [5] researched the response of electromagnetic field on a two layered earth model with a conductive overburden. For this paper, we mean the ground containing two layers which are the overburden and host medium.…”

Prediction of the upper and lower bounds of electric potentials in a steady‐state current field with uncertain‐but‐bounded parameters

“…It is usually difficult to calculate the upper and lower bounds in directly. Instead, Taylor series expansion can be employed to evaluate the range . In engineering applications, the higher order terms in the Taylor series expansion are usually neglected, and only the first‐order expansion terms are retained.…”

“…Such analysis will reveal the effect of parameter changes on the responses of a system. Many papers have been published regarding the use of Taylor series expansion . Taylor series expansion combined with interval analysis can be used to handle uncertainty effectively.…”

Mathematical forward problem of EM response from a right skewed curve in host medium

“…Newly, Haarsa and Pothat [5] studied a mathematical model of electromagnetic response from a positively skewed bulge ground structure. Furthermore, Haarsa and Pothat [6] studied the response of electromagnetic field on a two layered earth model with a conductive overburden. In this paper, we think the ground containing two layers which are the overburden and host medium.…”