Upscaling and reversibility of Taylor dispersion in heterogeneous porous media

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 71, Issue 4, 2005, Pages

  Berentsen, C W J ^a,b   Verlaan, M L ^a,c   Van Kruijsdijk, C P J W ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b UTRECHT UNIVERSITY   (Netherlands)

^c Horizon Energy Partners

Author keywords

[No Author keywords available]

Indexed keywords

DISPERSIVE MIXING; HETEROGENEOUS POROUS MEDIA; TAYLOR DISPERSION; TRACER CONCENTRATION;

CONCENTRATION (PROCESS); CORRELATION METHODS; DIFFUSION; ELEMENTARY PARTICLES; FLOW OF FLUIDS; FOURIER TRANSFORMS; MATHEMATICAL MODELS; VELOCITY MEASUREMENT;

POROUS MATERIALS;

EID: 41349104826     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.046308     Document Type: Article

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24. The tracer concentration does not affect the fluid flow behavior. The fluid velocity and the fluid density are independent of the tracer concentration.
25. In Verlaan et al. [21,23] and Berentsen [18], microscopic dispersion is included in the small-scale dispersion mechanism.
26. More precisely, the relaxation time of a single scale is the characteristic time that expresses the exponential decay of that scale [exp(-t/τ)]. The relaxation tune of a multiscale problem is the time scale that characterizes the combined decay of all scales present in the problem.
27. 0=0).
28. Taylor dispersion is a process that has a finite propagation speed. An important disadvantage of using the uCDifE is that it results in an infinite propagation speed. The Telegraph model recovers the finite propagation speed by ignoring longitudinal diffusion which is a secondary process compared to Taylor dispersion.
29. The superscript/subscript (rev) refers to the situation after reversal of the flow direction.
30. As microscale dispersion has been eliminated to obtain the Telegraph model, scale separation cannot be applied to this model.