By Jean J. Fried
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Extra info for Groundwater Pollution Theory Methodology Modelling and Practical Rules
The dispersion regimes: (a) homogeneous medium; ( b ) heterogeneous medium. ) THE THEORY OF DISPERSION IN POROUS MEDIA 46 Remark. For practical purposes, m is usually taken equal to 1. 3. Conclusion The theory of dispersion can be extended to general media. The results obtained for homogeneous media are valid but the domain of numerical values has changed. 51 will be retained, coupled with the various dispersion regimes, remarking that the pure diffusion domain may be somewhat smaller for heterogeneous media than for homogeneous media (Fig.
Straight pores do not represent a general porous medium. Yet, it has been possible with such models to display the transverse dispersion and compute its value relatively to longitudinal dispersion. Statistical geometric models have been considerably improved by Bear and Bachmat (1967), who very completely describe the dispersion equation currently used in all practical applications of pollution studies nowadays. For that reason, we detail their approach (Bear, 1972). 4). Their model is an assembly of randomly connected channels, of various lengths, cross-sections and orientations.
The experimental techniques are thus better and, though fewer in number, results are as valid and as accurate as those obtained for longitudinal dispersion. 2. Unconsolidated porous media The experiments have been performed for Peclet numbers ranging from to and have shown the existence of four regimes of dispersion (Fig. 6). Regime a: Pure molecular diffusion, which occurs at low mean velocities. 7. Regime b: Superposition, when the influence of mechanical dispersion can be felt. Regime c: Mechanical dispersion, when the influence of mechanical dispersion becomes predominant.