Mean flow in composite porous media

C. L. Winter, D. M. Tartakovsky

Research output: Contribution to journalArticle

55 Scopus citations

Abstract

We develop probabilities and statistics for the parameters of Darcy flows through saturated porous media composed of units of different materials. Our probability model has two levels. On the local level, a porous medium is composed of disjoint, statistically homogeneous volumes (or blocks) each of which consists of a single type of material. On a larger scale, a porous medium is an arrangement of blocks whose extent and location are uncertain. Using this two-scaled model, we derive general formulae for the probability distribution of hydraulic conductivity and its mean; then we develop general perturbation expansions for mean head. We express distributions and parameters in terms of mixtures of locally homogeneous block densities weighted by large-scale block membership probabilities.

Original languageEnglish (US)
Pages (from-to)1759-1762
Number of pages4
JournalGeophysical Research Letters
Volume27
Issue number12
DOIs
StatePublished - Jun 15 2000
Externally publishedYes

ASJC Scopus subject areas

  • Geophysics
  • Earth and Planetary Sciences(all)

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