Depths of equivalent dipole polarizability resolution for some transmitter receiver configurations

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Equivalent dipole polarizability matrices and equivalent dipole location are a convenient way to summarize magnetic induction data arising from currents induced in isolated conductive objects. The uncertainties in polarizability estimates and in equivalent dipole location provide a quantitative measure of the performance of different configurations of transmitters and receivers. Uncertainties in equivalent dipole polarizability matrices and equivalent dipole position are estimated using a linearized inversion. For a number of systems of rectangular loop transmitters and dipole receivers sited on a horizontal grid, equivalent dipole depth is determined to 10% approximately 20% deeper, than the polarizability matrix elements can be determined ... continued below

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8 pages

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Smith, J. Torquil; Morrison, H. Frank & Becker, Alex June 6, 2002.

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Equivalent dipole polarizability matrices and equivalent dipole location are a convenient way to summarize magnetic induction data arising from currents induced in isolated conductive objects. The uncertainties in polarizability estimates and in equivalent dipole location provide a quantitative measure of the performance of different configurations of transmitters and receivers. Uncertainties in equivalent dipole polarizability matrices and equivalent dipole position are estimated using a linearized inversion. For a number of systems of rectangular loop transmitters and dipole receivers sited on a horizontal grid, equivalent dipole depth is determined to 10% approximately 20% deeper, than the polarizability matrix elements can be determined to the same precision. Systems that have a lower product of rms polarizability uncertainty and square root of their number of transmitter-receiver pairs are considered more effective for their number of transmitter-receiver pairs. Among the systems studied, a system with three orthogonal transmitter loops and a three component receiver is the most effective, for objects shallower than 0.6 times the instrument siting grid spacing, yielding an rms polarizability uncertainty 0.04 times that of a single transmitter single receiver system. At intermediate depths, a system with two vertical component receivers on the diagonal of a horizontal transmitter loop is most effective for its number of transmitter-receiver pairs, yielding an rms polarizability uncertainty 0.07 times that of a single receiver system. At depths greater than 2.5 times the siting grid spacing a 3 orthogonal loop transmitter with a single vertical component receiver is about the most effective for its number of transmitter-receiver pairs, yielding an rms polarizability uncertainty 0.08 times that of a single transmitter system.

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8 pages

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OSTI as DE00825039

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  • UXO/Countermine Forum 2002, Orlando, FL (US), 09/03/2002--09/06/2002

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  • Report No.: LBNL--50636
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 825039
  • Archival Resource Key: ark:/67531/metadc780816

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  • June 6, 2002

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  • Dec. 3, 2015, 9:30 a.m.

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  • April 4, 2016, 5:50 p.m.

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Smith, J. Torquil; Morrison, H. Frank & Becker, Alex. Depths of equivalent dipole polarizability resolution for some transmitter receiver configurations, article, June 6, 2002; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc780816/: accessed September 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.