Quantitative analysis of an invading-fluid invasion front under gravity

A detailed quantitative comparison between experimental measurements of the structure of a nonwetting fluid invasion front into a porous medium and a gradient percolation model accounting for the influence of gravity is reported. The two-dimensional correlation function of the invaded area in horizo...

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Bibliographic Details
Published in:Physical review letters 1988-07, Vol.61 (3), p.333-336
Main Authors: HULIN, J. P, CLEMENT, E, BAUDET, C, GOUYET, J. F, ROSSO, M
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Nonhomogeneous flows
Physics
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Summary:A detailed quantitative comparison between experimental measurements of the structure of a nonwetting fluid invasion front into a porous medium and a gradient percolation model accounting for the influence of gravity is reported. The two-dimensional correlation function of the invaded area in horizontal cuts follows a universal behavior at short distances in the fractal domain, in good agreement with numerical predictions. Variations with the cut height of the mean saturation and of the crossover length between the fractal and the Euclidean domains can also be fitted precisely with theoretical gradient percolation curves. (Author)
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.61.333