Kriging in the Presence of Locally Varying Anisotropy Using Non-Euclidean Distances |
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| Authors: | J B Boisvert J G Manchuk C V Deutsch |
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| Institution: | (1) Centre for Computational Geostatistics, Department of Civil and Environmental Engineering, University of Alberta, Edmonton, Alberta, Canada |
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| Abstract: | A stationary specification of anisotropy does not always capture the complexities of a geologic site. In this situation, the
anisotropy can be varied locally. Directions of continuity and the range of the variogram can change depending on location
within the domain being modeled. Kriging equations have been developed to use a local anisotropy specification within kriging
neighborhoods; however, this approach does not account for variation in anisotropy within the kriging neighborhood. This paper
presents an algorithm to determine the optimum path between points that results in the highest covariance in the presence
of locally varying anisotropy. Using optimum paths increases covariance, results in lower estimation variance and leads to
results that reflect important curvilinear structures. Although CPU intensive, the complex curvilinear structures of the kriged
maps are important for process evaluation. Examples highlight the ability of this methodology to reproduce complex features
that could not be generated with traditional kriging. |
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| Keywords: | Geostatistics Variogram Stationarity Geological structures Multidimensional scaling |
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