Mathematical model of magnetometric resistivity sounding for a conductive host with a bulge overburden

Abstract

In this paper, the solution of magnetic field response from DC source located on a two layered uniform conductive host medium is formulated. For the first layer, the conductivity of overburden is a function of depth () z and denoted by () 2 () 2 1 0 is given by () 2 0 z σ σ =. The Hankel transforms are introduced to solve the magnetic fields which are expressed in the form of integral expressions. In order to determine the magnetic fields, numerical solutions are computed to show the behavior of the field while some parameters are given approximately. The graphs of computation results perform the same relationship to the conductivity profile of the ground.

Magnetometric resistivity sounding for a conductive bulge earth

“…The inverse problem via the use of an optimization technique is introduced for finding a conductivity parameter of the ground. The forward model used in this paper is our companion paper [11]. The iterative procedure using the Newton-Raphson method is applied to estimate the model parameter of conductivity variation.…”

“…In this paper, turning to our companion paper [11], the inversion process, using the Newton-Raphson method, is conducted to estimate the parameter of the conductivity variation.…”

Mathematical Model of Magnetometric Resistivity Sounding for a Conductive Medium With a Positively Skewed Bulge Overburden

“…The conductivity of host medium is a constant denoted by σ h (z) = σ 0 , z ≥ d, on the second layer. The conductivity profile in this research is unlike from the models used by Chen and Oldenburg [3] and Chaladgarn and Yooyuanyong [10].…”

“…To find out the radial and vertical component of the electric field associated with the azimuthal of the magnetic field, we expand equation (2) and obtain [10] …”

“…Chen and Oldenburg [3] acquired the magnetic field directly from solving a boundary value problems which was related to the approach used by Edward. Chaladgarn and Yooyuanyong [10] derived a mathematical model of magnetometric resistivity sounding for a conductive host with a bulge overburden.…”