Mathematical Geology

, Volume 28, Issue 4, pp 407–417 | Cite as

Compensating for estimation smoothing in kriging

  • Ricardo A. Olea
  • Vera Pawlowsky
Article

Abstract

Smoothing is a characteristic inherent to all minimum mean-square-error spatial estimators such as kriging. Cross-validation can be used to detect and model such smoothing. Inversion of the model produces a new estimator—compensated kriging. A numerical comparison based on an exhaustive permeability sampling of a 4-ft2 slab of Berea Sandstone shows that the estimation surface generated by compensated kriging has properties intermediate between those generated by ordinary kriging and stochastic realizations resulting from simulated annealing and sequential Gaussian simulation. The frequency distribution is well reproduced by the compensated kriging surface, which also approximates the experimental semivariogram well—better than ordinary kriging, but not as well as stochastic realizations. Compensated kriging produces surfaces that are more accurate than stochastic realizations, but not as accurate as ordinary kriging.

Key words

ordinary kriging bias smoothing conditional simulation compensated kriging 

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References

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Copyright information

© International Association for Mathematical Geology 1996

Authors and Affiliations

  • Ricardo A. Olea
    • 1
  • Vera Pawlowsky
    • 2
  1. 1.Mathematical Geology Section, Kansas Geological SurveyThe University of KansasLawrence
  2. 2.Departament de Matemàtica Aplicada IIIUniversitat Politècnica de CatalunyaBarcelonaSpain

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