Tracer dispersion of non-Newtonian fluids in a Hele–Shaw cell

Boschan, Alejandro; Charette, Victor; Gabbanelli, S.; Ippolito, I.; Chertcoff, R.

doi:10.1016/s0378-4371(03)00437-0

Cited by 14 publications

(14 citation statements)

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“…In previous experiments with flat smooth walls [ Boschan et al , 2003], only Taylor dispersion was observed with a magnitude in agreement with theoretical expectations both for Newtonian and shear thinning fluids.…”

Section: Local Spreading Of the Mixing Zonesupporting

confidence: 89%

“…The α T Pe term corresponds to Taylor dispersion: it results from the spreading of the tracer (for instance dye) by the velocity profile between the plates balanced by transverse molecular diffusion across the gap [ Taylor , 1953; Aris , 1956]. For a fracture with two flat parallel walls and for Newtonian fluids, α G = 0 and α T = 1/210; the value of α T should be lower for shear‐thinning fluids due to the flattening of the velocity profile between the walls [ Vartuli et al , 1995; Boschan et al , 2003].…”

Section: Dispersion Mechanisms In Fracturesmentioning

confidence: 99%

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Geometrical and Taylor dispersion in a fracture with random obstacles: An experimental study with fluids of different rheologies

Boschan

Ippolito

Chertcoff

et al. 2008

Water Resources Research

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[1] The miscible displacement of a Newtonian or shear-thinning fluid by another one of same rheological properties has been studied optically in a flat transparent model fracture with a random distribution of identical cylindrical obstacles on one of the walls. At the local scale, the concentration variation on individual pixels satisfies a Gaussian convection-dispersion relation with local transit time t(x, y) and dispersivity l d (x, y). The variation of l d with the Péclet number Pe shows that it results from a combination of geometrical and Taylor dispersion, respectively dominant at low and high Pe values. Using shear-thinning solutions instead of a Newtonian fluid enhances the velocity contrasts (and therefore geometrical dispersion) and reduces Taylor dispersion. At the global scale, the front geometry is studied from the isoconcentration lines c = 0.5 (equivalent to lines of constant t(x, y) value): beyond a transition travel time, their width in the direction parallel to the flow reaches a constant limit varying linearly with Log(Pe) with a slope increasing with the shear-thinning character of the fluid. These characteristics are compared to previous observations on other model fractures with a self-affine roughness displaying channelization effects.

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Section: Local Spreading Of the Mixing Zonesupporting

confidence: 89%

Section: Dispersion Mechanisms In Fracturesmentioning

confidence: 99%

Geometrical and Taylor dispersion in a fracture with random obstacles: An experimental study with fluids of different rheologies

Boschan

Ippolito

Chertcoff

et al. 2008

Water Resources Research

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“…In a Hele-Shaw cell such as the one used here, the mechanical dispersion is reduced to Taylor dispersion, which results from Poiseuille-type velocity variations across the cell aperture. Taylor dispersion in fractures or micro-channels was shown to have an important effect on transport of solutes in an experimental configuration similar to ours, even in cases of low flow velocities [23][24][25].…”

Section: Taylor Dispersionsupporting

confidence: 79%

Numerical sensitivity analysis of density driven CO2 convection with respect to different modeling and boundary conditions

Chevalier¹,

Faisal²,

Bernabé

et al. 2014

Heat Mass Transfer

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J Diffusive flux (kg/m 3 s) k Intrinsic permeability (m 2 ) k r Relative permeability (−) m Van Genuchten third parameter (−) m d Mass rate density (kg/sm 3 ) n Van Genuchten second parameter (−) M Molecular weight (kg/kmol) P Pressure (Pa) S Saturation (−) S el Effective water saturation (−) S r Irreducible water saturation (−) t Time (s) t conv Onset time of convection (s) U Average velocity in the flow direction (m/s) V Advective flux (m/s) W Hele-Shaw cell width (m) z Unit gravitation direction vector

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“…where Ū is the average flow velocity. The longitudinal dispersion coefficient D can be written as 6,8,10…”

Section: ‫ץ‬C ‫ץ‬Tmentioning

confidence: 99%

“…4 Solute dispersion refers to the spreading of an initially localized sample of a given solute due to the combination of molecular diffusion and flow velocity gradients. [5][6][7][8][9][10] This spreading can even be worse if the sample has a different viscosity than the displacing fluid, in which case viscous fingering ͑VF͒ phenomena can take place. Viscous fingering is a hydrodynamic instability that occurs when a fluid of given viscosity 1 displaces a more viscous fluid of viscosity 2 Ͼ 1 in a porous medium: 11 the interface between the two fluids is unstable and "finger-like" patterns grow in the course of time.…”

Section: Introductionmentioning

confidence: 99%

Experimental study of dispersion and miscible viscous fingering of initially circular samples in Hele-Shaw cells

et al. 2010

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Experimental studies are conducted to analyze dispersion and miscible viscous fingering of initially circular samples of a given solution displaced linearly at constant speed U by another solution in horizontal Hele-Shaw cells ͑two glass plates separated by a thin gap͒. In the stable case of a dyed water sample having the same viscosity as that of displacing nondyed water, we analyze the transition between dispersive and advective transport of the passive scalar displaced linearly. At low displacement speed and after a certain time, the length of the sample increases as a square root of time allowing to compute the value of a dispersion coefficient. At larger injection speed, the displacement remains advective for the duration of the experiment, with a length of the sample increasing linearly in time. A parametric study allows to gain insight into the switch from one regime to another as a function of the gap width of the cell. In the unstable case of viscous glycerol samples displaced by dyed water, the rear interface of the sample where less viscous water pushes more viscous glycerol is unstable with regard to viscous fingering. The interface deforms into fingers, the number and size of which depend on the viscosity ratio between the two solutions and on the displacement speed. We study the influence of these viscous fingering phenomena on the increased spreading of the sample for various mobility ratios and injection speeds.

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Tracer dispersion of non-Newtonian fluids in a Hele–Shaw cell

Cited by 14 publications

References 1 publication

Geometrical and Taylor dispersion in a fracture with random obstacles: An experimental study with fluids of different rheologies

Geometrical and Taylor dispersion in a fracture with random obstacles: An experimental study with fluids of different rheologies

Numerical sensitivity analysis of density driven CO2 convection with respect to different modeling and boundary conditions

Experimental study of dispersion and miscible viscous fingering of initially circular samples in Hele-Shaw cells

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