### 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 language | English |
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Pages (from-to) | 871-885 |

Number of pages | 15 |

Journal | Geophysical Prospecting |

Volume | 48 |

Issue number | 5 |

DOIs | |

Publication status | Published - Sep 1 2000 |

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### 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.

Research output: Contribution to journal › Article

*Geophysical Prospecting*, vol. 48, no. 5, pp. 871-885. https://doi.org/10.1046/j.1365-2478.2000.00222.x

}

TY - JOUR

T1 - An approximate analytical approach to compute geoelectric dipole-dipole responses due to a small buried cube

AU - Szalai, S.

AU - Szarka, L.

PY - 2000/9/1

Y1 - 2000/9/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0034283272&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034283272&partnerID=8YFLogxK

U2 - 10.1046/j.1365-2478.2000.00222.x

DO - 10.1046/j.1365-2478.2000.00222.x

M3 - Article

AN - SCOPUS:0034283272

VL - 48

SP - 871

EP - 885

JO - Geophysical Prospecting

JF - Geophysical Prospecting

SN - 0016-8025

IS - 5

ER -