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dc.contributor.authorDOERR, THOMAS ANTHONY.
dc.creatorDOERR, THOMAS ANTHONY.en_US
dc.date.accessioned2011-10-31T18:08:37Z
dc.date.available2011-10-31T18:08:37Z
dc.date.issued1983en_US
dc.identifier.urihttp://hdl.handle.net/10150/186415
dc.description.abstractIn this work, an application of the algebraic reconstruction technique to a borehole reconstruction problem is considered. The formulation of the borehole problem gives the attendant electromagnetic wave equations in matrix form. The algebraic reconstruction technique is used to reconstruct a solution. Three sources of errors are identified in the reconstruction process. Suggestions are made which will help minimize or predict the effects of these errors. General limitations of the algebraic reconstruction technique are discussed. The limitations in terms of the borehole problem are explained. Practical limitations for the borehole problem are thus obtained and quantified mathematically. It is found that even in some practical situations, the borehole reconstruction process is impossible.
dc.language.isoenen_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.subjectAlgebraic topology.en_US
dc.subjectBorehole mining -- Mathematical models.en_US
dc.titleAN ANALYSIS OF ERRORS IN THE ALGEBRAIC RECONSTRUCTION TECHNIQUE WITH AN APPLICATION TO GEOTOMOGRAPHY.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.identifier.oclc689058806en_US
thesis.degree.grantorUniversity of Arizonaen_US
thesis.degree.leveldoctoralen_US
dc.identifier.proquest8319718en_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.namePh.D.en_US
dc.description.noteThis item was digitized from a paper original and/or a microfilm copy. If you need higher-resolution images for any content in this item, please contact us at repository@u.library.arizona.edu.
dc.description.admin-noteOriginal file replaced with corrected file July 2023.
refterms.dateFOA2018-06-05T22:11:09Z
html.description.abstractIn this work, an application of the algebraic reconstruction technique to a borehole reconstruction problem is considered. The formulation of the borehole problem gives the attendant electromagnetic wave equations in matrix form. The algebraic reconstruction technique is used to reconstruct a solution. Three sources of errors are identified in the reconstruction process. Suggestions are made which will help minimize or predict the effects of these errors. General limitations of the algebraic reconstruction technique are discussed. The limitations in terms of the borehole problem are explained. Practical limitations for the borehole problem are thus obtained and quantified mathematically. It is found that even in some practical situations, the borehole reconstruction process is impossible.


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