Phys. Rev. Lett. 61, 2925–2928 (1988)Fractal Structure of Hydrodynamic Dispersion in Porous MediaReceived 28 June 1988; published in the issue dated 26 December 1988 Concentration contours in the displacement of a clear fluid by a colored fluid of the same viscosity and density in a two-dimensional porous medium are shown to be self-affine fractal curves with a fractal dimension D≃1.42±0.05. The dispersion front may on the average be described by the hydrodynamic dispersion with a longitudinal dispersion coefficient D∥=Ud∥, where U is the average flow velocity and d∥ is a characteristic length of the order of a pore diameter. This result is valid for dispersion at high Péclet numbers Pe=Ud∥/Dm, where Dm is the molecular diffusion coefficient of the dye. © 1988 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.61.2925
DOI:
10.1103/PhysRevLett.61.2925
PACS:
47.55.Mh, 05.40.+j
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