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An example of cluster analysis applied to a large geologic data set: Aerial radiometric data from Copper Mountain, Wyoming
Authors:Fredric L. Pirkle   Jo Ann Howell   George W. Wecksung   Benjamin S. Duran  Newton K. Stablein
Affiliation:(1) Bendix Field Engineering Corporation, P.O. Box 1569, 81502 Grand Junction, Colorado, USA;(2) Los Alamos National Laboratory, P.O. Box 1663, 87545 Los Alamos, New Mexico, USA;(3) Department of Mathematics, Texas Tech University, 79409 Lubbock, Texas, USA;(4) Bendix Field Engineering Corporation, P.O. Box 1569, 81502 Grand Junction, Colorado, USA;(5) Present address: Conoco, Inc., P.O. Box 4800, 77380 The Woodlands, Texas, USA
Abstract:One objective of the aerial radiometric surveys flown as part of the U.S. Department of Energy's National Uranium Resource Evaluation (NURE) program was to ascertain the spatial distribution of near-surface radioelement abundances on a regional scale. Some method for identifying groups of observations with similar gamma-ray spectral signatures and radioelement concentration values was therefore required. It is shown in this paper that cluster analysis can identify such groups with or without a priori knowledge of the geology of an area. An approach that combines principal components analysis with convergentk-means cluster analysis is used to classify 6991 observations (each observation comprising three radiometric variables) from the Precambrian rocks of the Copper Mountain, Wyoming area. This method is compared with a convergentk-means analysis that utilizes available geologic knowledge. Both methods identify four clusters. Three of the clusters represent background values for the Precambrian rocks of the area, and the fourth represents outliers (anomalously high214Bi). A segmentation of the data corresponding to ldquogeologic realityrdquo as interpreted by other methods has been achieved by perceptive quantitative analysis of aerial radiometric data. The techniques employed are composites of classical clustering methods designed to handle the special problems presented by large data sets.
Keywords:aerial radiometrics  cluster analysis  k-means analysis  principal components analysis  Copper Mountain  Wyoming
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