A multi-length-scale theory of the anomalous mixing-length growth for tracer flow in heterogeneous porous media

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Original languageEnglish
Pages (from-to)485-501
Journal / PublicationJournal of Statistical Physics
Issue number1-2
Publication statusPublished - Jan 1992
Externally publishedYes


We develop a multi-length-scale (multifractal) theory for the effect of rock heterogeneity on the growth of the mixing layer of the flow of a passive tracer through porous media. The multifractal exponent of the size of the mixing layer is determined analytically from the statistical properties of a random velocity (permeability) field. The anomalous diffusion of the mixing layer can occur both on finite and on asymptotic length scales. © 1992 Plenum Publishing Corporation.

Research Area(s)

  • anomalous diffusion, heterogeneity, multifractals, porous media, Random field