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Direct current electric potential in an anisotropic half-space with vertical contact containing a conductive 3D body

Li, Ping and Stagnitti, Frank 2004, Direct current electric potential in an anisotropic half-space with vertical contact containing a conductive 3D body, Mathematical problems in engineering, vol. 1, pp. 63-77, doi: 10.1155/S1024123X04201016.

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Title Direct current electric potential in an anisotropic half-space with vertical contact containing a conductive 3D body
Author(s) Li, Ping
Stagnitti, Frank
Journal name Mathematical problems in engineering
Volume number 1
Start page 63
End page 77
Publisher Gordon and Breach Science Publishers
Place of publication Amsterdam, The Netherlands
Publication date 2004
ISSN 1024-123X
1563-5147
Summary Detailed studies of anomalous conductors in otherwise homogeneous media have been modelled. Vertical contacts form common geometries in galvanic studies when describing geological formations with different electrical conductivities on either side. However, previous studies of vertical discontinuities have been mainly concerned with isotropic environments. In this paper, we deal with the effect on the electric potentials, such as mise-`a-la-masse anomalies, due to a conductor near a vertical contact between two anisotropic regions. We also demonstrate the interactive effects when the conductive body is placed across the vertical contact. This problem is normally very difficult to solve by the traditional numerical methods. The integral equations for the electric potential in anisotropic half-spaces are established. Green’s function is obtained using the reflection and transmission image method in which five images are needed to fit the boundary conditions on the vertical interface and the air-earth surface. The effects of the anisotropy of the environments and the conductive body on the electric potential are illustrated with the aid of several numerical examples.

Language eng
DOI 10.1155/S1024123X04201016
Field of Research 090702 Environmental Engineering Modelling
Socio Economic Objective 970109 Expanding Knowledge in Engineering
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2004, Hindawi Publishing Corporation
Free to Read? Yes
Persistent URL http://hdl.handle.net/10536/DRO/DU:30002694

Document type: Journal Article
Collections: School of Life and Environmental Sciences
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Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.