Flowing Matter by Unknown
Author:Unknown
Language: eng
Format: epub
ISBN: 9783030233709
Publisher: Springer International Publishing
(5.10)
which is strictly valid only for . For larger values of and d spatial dimensions, Matheron [18] conjectured the expression
(5.11)
which for d = 2 gives the exact result K e = K G and in d = 3 and small is consistent with the perturbation theory result Eq. (5.10). The effective permeability is bounded between the harmonic and arithmetic mean, K H ≤ K e ≤ K A.
5.3 Macroscopic Transport Models
Transport in heterogeneous media can be described by the advection–dispersion equation
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