Taylor dispersion in porous media. Determination of the dispersion tensor
Physics of Fluids A Fluid Dynamics1993Vol. 5(10), pp. 2348–2376
Citations Over TimeTop 10% of 1993 papers
Jean‐Pierre Salles, Jean‐François Thovert, Renaud Delannay, L. Prevors, Jean‐Louis Auriault, P. M. Adler
Abstract
In homogeneous porous media, the analytical expression of the dispersion tensor D* can be calculated by the method of moments and by a multiple scale expansion; the symmetric component of this tensor is identical in both cases. Numerically, D* can be computed by two methods, namely the B equation and random walks. The porous media are modeled as being spatially periodic; D* is determined as a function of the Péclet number for four types of unit cells: deterministic, fractal, random, and reconstructed. A systematic comparison is made with existing numerical and experimental data. The long time behavior, and its Gaussian limit, is documented.
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