Analytical models for flow through obstructed domains

A. R. Piggott, Derek Elsworth

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

The effects of low- or zero-conductivity inclusions on flow through two- and three-dimensional domains are represented using an analogy to percolation theory. Mapping functions are derived from renormalization group models as a solution to the percolation analogy. These functions relate the extent to which a domain is obstructed to the probability that the domain is conductive and to the bulk conductivity of the domain. Stochastic methods are used to define a relation between the proportion of a domain which is isolated from flow and the proportion which is obstructed. A description of the influence of the scale of the obstructions, relative to that of the domain, is inherent in the formulation. -from Authors

Original languageEnglish (US)
Pages (from-to)2085-2093
Number of pages9
JournalJournal of Geophysical Research
Volume97
Issue numberB2
DOIs
StatePublished - Jan 1 1992

Fingerprint

Analytical models
conductivity
proportion
two dimensional flow
methodology
inclusions
formulations
method
effect

All Science Journal Classification (ASJC) codes

  • Geophysics
  • Forestry
  • Oceanography
  • Aquatic Science
  • Ecology
  • Water Science and Technology
  • Soil Science
  • Geochemistry and Petrology
  • Earth-Surface Processes
  • Atmospheric Science
  • Space and Planetary Science
  • Earth and Planetary Sciences (miscellaneous)
  • Palaeontology

Cite this

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Analytical models for flow through obstructed domains. / Piggott, A. R.; Elsworth, Derek.

In: Journal of Geophysical Research, Vol. 97, No. B2, 01.01.1992, p. 2085-2093.

Research output: Contribution to journalArticle

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