Analysis of nonintrinsic spatial variability by residual kriging with application to regional groundwater levels

Shlomo P. Neuman, Elizabeth A. Jacobson

Research output: Contribution to journalArticlepeer-review

127 Scopus citations

Abstract

A method for obtaining pointwise or spatially averaged estimates of a nonintrinsic function is introduced based on residual kriging. The method relies on a stepwise iterative regression process for simultaneously estimating the global drift and residual semivariogram. Estimates of the function are then obtained by solving a modified set of simple kriging equations written for the residuals. The modification consists of replacing the true variogram in the kriging equations by the variogram of the residual estimates as obtained from the iterative regression process. The method is illustrated by considering groundwater levels in an Arizona aquifer. The results are compared with those obtained for the aquifer by the generalized covariance package BLUEPACK-3D.

Original languageEnglish (US)
Pages (from-to)499-521
Number of pages23
JournalJournal of the International Association for Mathematical Geology
Volume16
Issue number5
DOIs
StatePublished - Jul 1 1984

Keywords

  • Spatial variability
  • drift
  • groundwater levels
  • kriging
  • nonintrinsic
  • nonstationary
  • residuals

ASJC Scopus subject areas

  • Mathematics (miscellaneous)
  • Earth and Planetary Sciences (miscellaneous)

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