A multi-length-scale theory of the anomalous mixing-length growth for tracer flow in heterogeneous porous media
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 485-501 |
Journal / Publication | Journal of Statistical Physics |
Volume | 66 |
Issue number | 1-2 |
Publication status | Published - Jan 1992 |
Externally published | Yes |
Link(s)
Abstract
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
Citation Format(s)
A multi-length-scale theory of the anomalous mixing-length growth for tracer flow in heterogeneous porous media. / Zhang, Qiang.
In: Journal of Statistical Physics, Vol. 66, No. 1-2, 01.1992, p. 485-501.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review