An approximate analytical approach to compute geoelectric dipole-dipole responses due to a small buried cube

S. Szalai, L. Szarka

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

A simple analytical solution is presented for computing direct current (DC) electric field distortion due to a small cube in a homogeneous half-space, measured with a dipole-dipole array on the surface. Both the transmitter and the receiver may have any orientation; furthermore their position on the horizontal surface and the depth of the cube can be freely selected. It is shown that a simple approximate analytical method may replace more complicated 3D numerical modelling algorithms. The approximation lies in the linearization of the problem: the secondary source (i.e. the cube) is considered as a system of three perpendicular electric dipoles. In spite of this first-order approximation, in the case of realistic depths z (z/R ~ 0.1-0.5, where R is the transmitter-receiver distance), this approximate solution fits very well with true 3D numerical modelling results, and with analogue modelling results if a/R ≤ 0.1, where a is the length of the side of the cube. Due to its simplicity, this method could be used for computing DC field distortion effects, estimating parameter-sensitivities, or even determining some initial models for further inversions.

Original languageEnglish
Pages (from-to)871-885
Number of pages15
JournalGeophysical Prospecting
Volume48
Issue number5
DOIs
Publication statusPublished - Sep 1 2000

Fingerprint

transmitter receivers
direct current
dipoles
linearization
half spaces
approximation
Transceivers
Linearization
electric dipoles
modeling
Transmitters
estimating
receivers
Electric fields
analogs
inversions
half space
electric fields
electric field
sensitivity

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics

Cite this

An approximate analytical approach to compute geoelectric dipole-dipole responses due to a small buried cube. / Szalai, S.; Szarka, L.

In: Geophysical Prospecting, Vol. 48, No. 5, 01.09.2000, p. 871-885.

Research output: Contribution to journalArticle

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