Moment differential equations for flow in highly heterogeneous porous media

C Larrabee Winter, D. M. Tartakovsky, A. Guadagnini

Research output: Contribution to journalArticle

65 Citations (Scopus)

Abstract

Quantitative descriptions of flow and transport in subsurface environments are often hampered by uncertainty in the input parameters. Treating such parameters as random fields represents a useful tool for dealing with uncertainty. We review the state of the art of stochastic description of hydrogeology with an emphasis on statistically inhomogeneous (nonstationary) models. Our focus is on composite media models that allow one to estimate uncertainties both in geometrical structure of geological media consisting of various materials and in physical properties of these materials.

Original languageEnglish (US)
Pages (from-to)81-106
Number of pages26
JournalSurveys in Geophysics
Volume24
Issue number1
DOIs
StatePublished - 2003
Externally publishedYes

Fingerprint

Porous materials
porous medium
Differential equations
differential equations
hydrogeology
moments
Hydrogeology
physical property
physical properties
composite materials
estimates
Physical properties
Composite materials
Uncertainty
parameter
state of the art
material
properties of materials

Keywords

  • Composite media
  • Nonstationary
  • Statistical
  • Statistically inhomogeneous
  • Stochastic

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Geophysics

Cite this

Moment differential equations for flow in highly heterogeneous porous media. / Winter, C Larrabee; Tartakovsky, D. M.; Guadagnini, A.

In: Surveys in Geophysics, Vol. 24, No. 1, 2003, p. 81-106.

Research output: Contribution to journalArticle

Winter, C Larrabee ; Tartakovsky, D. M. ; Guadagnini, A. / Moment differential equations for flow in highly heterogeneous porous media. In: Surveys in Geophysics. 2003 ; Vol. 24, No. 1. pp. 81-106.
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