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Kriging with imprecise (fuzzy) variograms. II: Application

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Abstract

The geostatistical analysis of soil liner permeability is based on 20 measurements and imprecise prior information on nugget effect, sill, and range of the unknown variogram. Using this information, membership functions for variogram parameters are assessed and the fuzzy variogram is constructed. Both kriging estimates and estimation variances are calculated as fuzzy numbers from the fuzzy variogram and data points. Contour maps are presented, indicating values of the kriged permeability and the estimation variance corresponding to selected membership values called levels.

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Bardossy, A., Bogardi, I. & Kelly, W.E. Kriging with imprecise (fuzzy) variograms. II: Application. Math Geol 22, 81–94 (1990). https://doi.org/10.1007/BF00890298

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Key words

  • application
  • permeability prediction
  • soil liner
  • kriging
  • variogram
  • fuzzy set theory