On the geostatistical characterization of hierarchical media

Shlomo P. Neuman, Monica Riva, Alberto Guadagnini

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The subsurface exhibits hierarchical structures with multiscale hydraulic and transport properties. The structure and properties are often well characterized by stationary variograms. We propose that the latter is an artefact of sampling over finite windows, which disappears when one uses truncated power variograms (TPVs). We cite evidence that parameters of traditional stationary variograms vary with support and window scales; demonstrate the ability of TPVs to capture these scale variations; show that stationary variograms are often difficult to distinguish from TPVs; note that TPVs are unique in their ability to represent multiscale random fields having either Gaussian or heavy-tailed symmetric Levy stable probability distributions; detail the way in which TPVs allow conditioning on multiscale measurements via co-kriging; and illustrate these capabilities on multiscale hydraulic data from Tubingen, Germany.

Original languageEnglish (US)
Title of host publicationProceedings of an International Conference on Calibration and Reliability in Groundwater Modelling
Subtitle of host publicationCredibility of Modelling, ModelCARE2007
Pages3-8
Number of pages6
Edition320
StatePublished - Nov 7 2008
EventInternational Conference on Calibration and Reliability in Groundwater Modelling: Credibility of Modelling, ModelCARE2007 - Copenhagen, Denmark
Duration: Sep 9 2007Sep 13 2007

Publication series

NameIAHS-AISH Publication
Number320
ISSN (Print)0144-7815

Other

OtherInternational Conference on Calibration and Reliability in Groundwater Modelling: Credibility of Modelling, ModelCARE2007
CountryDenmark
CityCopenhagen
Period9/9/079/13/07

Keywords

  • Co-kriging
  • Cutoff
  • Exponential
  • Fractal
  • Gaussian
  • Hierarchy
  • Levy stable
  • Multiscale
  • Power
  • Variogram

ASJC Scopus subject areas

  • Earth and Planetary Sciences(all)

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