On advective transport in fractal permeability and velocity fields

Research output: Contribution to journalArticle

74 Citations (Scopus)

Abstract

Advective transport is considered in a steady state random velocity field with homogeneous increments. Such a field is self-affine with a power law dyadic semivariogram γ(s) proportional to d, where d is distance and ω is a Hurst coefficient. It is characterized by a fractal dimension D = E + 1 - ω, where E is topological dimension. As the mean and variance of such a field are undefined, they are conditioned on measurement at some point x0. A tracer is introduced at another point y0 and elementary theoretical considerations are invoked to demonstrate that its conditional mean dispersion is local at all times. Its conditional mean concentration and variance are given explicitly by well-established expressions which, have not been previously recognized as being valid in fractal fields. -from Author

Original languageEnglish (US)
Pages (from-to)1455-1460
Number of pages6
JournalWater Resources Research
Volume31
Issue number6
DOIs
StatePublished - 1995
Externally publishedYes

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Fractal dimension
Fractals
permeability
advection
power law
tracer
fractal dimensions
tracer techniques

ASJC Scopus subject areas

  • Aquatic Science
  • Environmental Science(all)
  • Environmental Chemistry
  • Water Science and Technology

Cite this

On advective transport in fractal permeability and velocity fields. / Neuman, Shlomo P.

In: Water Resources Research, Vol. 31, No. 6, 1995, p. 1455-1460.

Research output: Contribution to journalArticle

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