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Variogram models for regional groundwater geochemical data
Authors:D E Myers  C L Begovich  T R Butz and V E Kane
Institution:(1) Department of Mathematics, University of Arizona, 85721 Tucson, Arizona, USA;(2) Nuclear Division, Union Carbide Corporation, 37830 Oak Ridge, Tennessee, USA
Abstract:Four variogram models for regional groundwater geochemical data are presented. These models were developed from an empirical study of the sample variograms for more than 10 elements in groundwaters from two geologic regions in the Plainview quandrangle, Texas. A procedure is given for the estimation of the variogram in the isotropic and anisotropic case. The variograms were found useful for quantifying the differences in spatial variability for elements within a geologic unit and for elements in different geologic units. Additionally, the variogram analysis enables assessment of the assumption of statistical independence of regional samples which is commonly used in many statistical procedures. The estimated variograms are used in computation of kriged estimates for the Plainview quadrangle data. The results indicate that an inverse distance weighting model was superior for prediction than simple kriging with the particular variograms used.
Keywords:variogram  kriging  interpolation  contouring  inverse distance weighting  geochemical gradient
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