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Electromagnetic field solutions for infinite and finite cables for conducting half-space models- both frequency - and time-domain
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Published Date:
1973
Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 15-19Series:Language:English - File Format:
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Description:Introduction The fields of an infinite line source in the presence of a conducting half-space have been examined by Wait and Spies (1971). In any real communication link using a current-carrying cable for the transmitting antenna, the cable is of finite length. Here we examine the fields of a finite length cable carrying a constant current in the presence of a homogeneous conducting half-space. The constant current assumption is valid at sufficiently low frequencies when an insulated cable is grounded at the end points (Wait, 1952; Sunde, 1968). Here we examine both surface and buried cables since both downlink and uplink communication links are of interest. Also, we examine both frequency and time solutions since either CW or pulsed communications may be used. Finally, it is necessary to include both magnetic and electric field solutions since reception could be with either loops or dipoles. Since the finite cable solution is more complicated than both the infinite line source and the short dipole solutions, we explore under what conditions a cable appears to be either infinitely long or very short. Some special cases, such as- the low frequency limit, permit analytical solutions which exhibit the dependence on various parameters, such as cable length, quite clearly. Frequency Domain Subsurface Fields The geometry of a line source of length 2[l] located on a conducting half-space with the observer in the half-space is shown in Figure 1.Â
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Personal Author:Rankin, DavidConference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 92-94Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:Three -dimensional boundary value problems are difficult to solve. Indeed, while the separation of the scalar wave equation can be effected in 11 diff...
Personal Author:Jones, F. W.Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 86-91Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:The perturbation of alternating electromagnetic fields by three-dimensional structures is considered. The general model is that of a semi-infinite con...
Personal Author:Farstad, Arnold J.Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 62-72Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:The use of radio signals for underground communications was considered as early as the mid-1920's [1] - [4] . However, early experiments did not produ...
Personal Author:Dolphin, Lambert ; Bollen, Robert ; ...Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 168Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:An electromagnetic sounder developed for an archaeological application in Egypt has been successfully tested in a California dolomite mine. Chambers i...
Personal Author:Fontaine, J. ; Demoulin, B. ; ...Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 130-139Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:To realize a radiowave communication along mine galleries a few kilometers long without repeater, we show that it is possible to use a coaxial cable b...
Personal Author:Parkinson, Howard E.Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 1-8Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:In 1969, new coal mine health and safety legislation was enacted in the United States. As a result of this legislation, the Department of Interior, Bu...
Personal Author:Wait, James R.Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 9-14Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:It is the purpose of this paper to review theoretical model concepts in through- the -earth transmission of electromagnetic waves. While the subject i...
Personal Author:Adams, John W.Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 169Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:The present status of the National Bureau of Standards program is that many magnetic tapes of analog data have been recorded in four major mines. Each...
Personal Author:Gabillard, R. ; Dubus, J. P. ; ...Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 121-129Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:We present an electromagnetic method taken from the well known radiogoniometer that allows us to locate at the surface of the ground the vertical axis...
Personal Author:Emslie, Alfred G. ; Lagace, Robert L. ; ...Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 38-48Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:This paper is concerned with the theoretical study of UHF radio communication in coal mines, with particular reference to the rate of loss of signal s...
Personal Author:Roetter, Martyn F.Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 202-217Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines
Personal Author:Geyer, Richard G.Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 20-33Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:One aspect of a program to improve the chances of survival following coal mine disasters is the development of a communications system which will allo...
Personal Author:Delogne, P. ; Deryck, L. ; ...Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 48-53Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:So far as the propagation of electromagnetic waves is concerned, an underground tunnel behaves like a pipe or hollowed waveguide. Waves propagate in t...
Personal Author:Lewis, Richard L.Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 98-103Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:This is a discussion of the application of the zonal harmonic series to problems involving dipole sources in the vicinity of spherical boundaries. The...
Personal Author:Franceschetti, GiorgioConference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 162-167Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:Explicit expressions are presented for the input admittance and effective height of several buried metal antennas, namely: (i) prolate spheroidal; (ii...
Personal Author:Starkey, D. B.Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 140-148Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:nvestigation into the expressions of the field produced by a loop over a conducting half space or in an infinite conducting half space are well docume...
Personal Author:Bannister, Peter R. ; Williams, Frederick J. ; ...Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 162-167Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:During the last week in March and the first week in April, 1973, the Naval Underwater Systems Center measured the 76 Hz magnetic field strength (in Wi...
Personal Author:Goddard, Arthur E.Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 54-61Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:Radio propagation measurements were conducted in a coal mine at UHF (200 to 1000 MHz) and VLF (1 to 50 kHz) to characterize the transmission loss of i...
Personal Author:Farstad, Arnold J.Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 171-177Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:The Location Group conversed in the Petroleum Room of the Green Center with the purpose of addressing the following list of topics in light of the Bur...
Personal Author:Hill, D. A. ; Wait, J. R. ;Conference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 81-85Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:The feasibility of locating a buried vertical magnetic dipole source (horizontal loop) from surface measurements of the vertical and horizontal magnet...
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Personal Author:Rankin, DavidConference Authors:Thru-the-Earth-Electromagnetics Workshop (1973 : Colorado School of Mines)Published Date:1973Source:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of Mines, p. 92-94Series:Proceedings of Thru-the-Earth Electromagnetics, August 15-17,1973, Colorado School of MinesDescription:Three -dimensional boundary value problems are difficult to solve. Indeed, while the separation of the scalar wave equation can be effected in 11 diff...
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