2011
DOI: 10.1007/s11242-011-9875-x
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Computation of the Longitudinal and Transverse Dispersion Coefficient in an Adsorbing Porous Medium Using Homogenization

Abstract: This article compares for the first time, local longitudinal and transverse dispersion coefficients obtained by homogenization with experimental data of dispersion coefficients in porous media, using the correct porosity dependence. It is shown that the longitudinal dispersion coefficient can be reasonably represented by a simple periodic unit cell (PUC), which consists of a single sphere in a cube. We present a slightly modified and simplified approach to derive the homogenized equations, which emphasizes phy… Show more

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Cited by 19 publications
(19 citation statements)
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“… Calculated Pe L in a packed‐bed model from numerical simulations B, D, E, F, and G in comparison to 2‐D theoretical data from Edwards et al and Bruining et al and 3‐D experimental data from Raimondi et al Miller and King, and Gunn and Pryce http://wileyonlinelibrary.com.]…”
Section: Resultsmentioning
confidence: 99%
“… Calculated Pe L in a packed‐bed model from numerical simulations B, D, E, F, and G in comparison to 2‐D theoretical data from Edwards et al and Bruining et al and 3‐D experimental data from Raimondi et al Miller and King, and Gunn and Pryce http://wileyonlinelibrary.com.]…”
Section: Resultsmentioning
confidence: 99%
“…The last point saturation obtained from the bulk is compared with the last value of the recovery profile obtained in [8].…”
Section: Data Acquisition and Analysismentioning
confidence: 99%
“…Nevertheless, at low Peclet numbers (Pe < 10) both dispersitivies are of the same order of magnitude [75]- [77]. Dispersion can represent small scale movements not captured by the REV used in the mathematical model, but according to Heimsund [28], taking this into account in the numerical model may be troublesome [78] [79].…”
Section: Compositional Modelsmentioning
confidence: 99%