Magnetic and Electric Fields of Direct Currents in a Layered Earth (Short Note)

Chen, Jiuping; Oldenburg, Douglas W.

doi:10.1071/eg04157

Cited by 11 publications

(14 citation statements)

References 9 publications

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“…This technique is based on the measurement of low-level, low-frequency magnetic fields associated with non-inductive current flow from the electrodes in the ground. Chen and Oldenburg [4] derived the magnetic field directly from solving a boundary value problems which was similar to the approach used by Edward [5] and then discussed in a homogeneous and a 2-layered earth model. Yooyuanyong and Sripanya [10] derived and performed the solutions of the steady state magnetic field due to a DC current source in three types of heterogeneous earth models.…”

Section: Introductionmentioning

confidence: 99%

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

Chaladgarn¹,

Yooyuanyong²

2013

ams

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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.

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Section: Introductionmentioning

confidence: 99%

“…In this paper, a 2-layered conductive earth model is considered similar to Chen and Oldenburg [4], but it is different in the conductivity profile. For the first layer, the conductivity of overburden is denoted by ( )…”

Section: Introductionmentioning

confidence: 99%

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

Chaladgarn¹,

Yooyuanyong²

2013

ams

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“…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].…”

Section: Introductionmentioning

confidence: 99%

“…The general steady state Maxwell's equation in the frequency domain [3] can be used to define the magnetic field for this problem particularly…”

Section: Derivation and Solution Of Magnetic Fieldmentioning

confidence: 99%

“…Yooyuanyong and Sripanya [8] obtained and performed the solution of the steady state magnetic field caused a DC current source in three types of heterogeneous earth models. 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.…”

Section: Introductionmentioning

confidence: 99%

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

Haarsa¹

2014

Int. J. of Pure and Appl. Math.

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The intention of this paper is consecrated to make known a mathematical model of magnetic response of a two layered earth model with a positively skewed bulge conductivity. The conductivity of ground is a function of depth. Integral expressions are applied, and the Taylor-series expansion and approximation are employed to discover the solution of the homogeneous differential equation. Numerical solutions are computed to present the conduct of the magnetic field graphically. The responses of magnetic field show some significance happened as a result of the depth and a positively skewed bulge conductivity ground profile.

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Fractional Derivatives in Geophysical Modelling: Approaches Using the Modified Adomian Decomposition Method

Prates

Moreira

2020

Pure Appl. Geophys.

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Magnetic and Electric Fields of Direct Currents in a Layered Earth (Short Note)

Cited by 11 publications

References 9 publications

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

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

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

Fractional Derivatives in Geophysical Modelling: Approaches Using the Modified Adomian Decomposition Method

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