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Scaling structure of tracer dispersion fronts in porous media

Physical Review E, ISSN: 1063-651X, Vol: 49, Issue: 6, Page: 5431-5437
1994
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Article Description

Experiments on the miscible displacement of a clear fluid by a dyed fluid of the same viscosity and density in a rectangular quasi-two-dimensional porous medium are presented. Equiconcentration dispersion fronts were identified using computer image processing. The fronts taken at three different concentrations are fractal curves with approximately the same box fractal dimension D1.45. In an alternative analysis the fronts were reduced to single valued functions and the dynamic scaling behavior investigated using a self-affine scaling formalism. The Hurst exponent H=0.55 and the dynamic exponent β=0.5, found by collapsing height difference correlation function data, are consistent with the results obtained through other analysis methods. The average concentration profile across the dispersion front was found to follow the classical solution of the diffusion-convection equation. The dependence of the width of the equiconcentration dispersion front σ on time yields dispersion coefficients Dσ over one order of magnitude less than the longitudinal dispersion coefficient D. © 1994 The American Physical Society.

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