Abstract
A procedure is proposed for simulating the telluric field near nonhomogeneous hollow cylindrical extended conductors of arbitrary finite length. The procedure allows for the nonhomogeneous conductivity of the conductor with a thin insulating coating. The surrounding medium is layered with three-dimensional nonhomogeneities, which may intersect the conductor. The external telluric field is specified based on actual distributional information.
Similar content being viewed by others
REFERENCES
D. Boteler, “Distributed source transmission line theory for electromagnetic induction studies,” in: Supplement of the Proceedings of the 12th International Zurich Symposium and Technical Exhibition on Electromagnetic Compatibility (1997), pp. 401–408.
D. Boteler, R. Pirjola, and H. Nevanlinna, “The effects of geomagnetic disturbances on electrical systems at the Earth' surface,” Advances in Space Research, 22, 17–27 (1998).
A. Pulkkinen, Geomagnetically Induced Currents in the Finnish Pipeline Network, Report of the Finnish Meteorological Institute (1999).
W. H. Campbell, “An interpretation of induced electric currents in long pipelines caused by natural geomagnetic sources of the upper atmosphere,” Surveys in Geophysics, 8, 239–259 (1986).
A. Osella and A. Favetto, “Effects of soil resistivity on currents induced on pipelines,” J. Appl. Geophys., 44, 303–312 (2000).
I. V. Strizhevskii and V. I. Dmitriev, Theory and Computation of the Effect of an Electric Railway on Subsurface Metallic Structures [in Russian], Stroiizdat, Moscow (1967).
I. V. Egorov, “Simulation of telluric fields in a multilayer spherical model of the Earth,” Fizika Zemli, No. 3, 62–68 (1998).
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1966).
V. K. Khmelevskoi, Electric Prospecting [in Russian], Izd. MGU, Moscow (1984).
G. I. Marchuk, Methods of Computational Mathematics [in Russian], Nauka, Moscow (1989).
A. M. Matsokin, “Relationship of the bordering method with the fictitious component method and the alternating-subregions method,” in: Partial Differential Equations [in Russian], Nauka, Novosibirsk (1986), pp. 138–142.
I. V. Yegorov, “Modeling the electromagnetic field in a neighborhood of an arbitrary inhomogeneous 3D body,” in: Proceedings of 2nd Int. Symp. on Three-Dimensional Electromagnetics, USA (1999), pp. 37–40.
Rights and permissions
About this article
Cite this article
Egorov, I.V., Dmitriev, V.I. Mathematical Modeling of the Telluric Field near Extended Conductors. Computational Mathematics and Modeling 12, 211–218 (2001). https://doi.org/10.1023/A:1012541322307
Issue Date:
DOI: https://doi.org/10.1023/A:1012541322307