Influence of the heterogeneity of the solutions on the parameters of miscible displacement in saturated porous medium

Buès, Michel; Aachib, Mostafa

doi:10.1007/bf00198429

Cited by 18 publications

(6 citation statements)

References 12 publications

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“…A7. Buès and Aachib [1991] [55] The porosity was estimated from reported values of the grain size and the permeability using the Kozeny-Carmen relationship. The resident fluid was reported to be distilled water, but no specific displacing fluid concentrations were reported.…”

Section: Appendix Amentioning

confidence: 99%

Viscous and gravitational contributions to mixing during vertical brine transport in water‐saturated porous media

Flowers

Hunt

2007

Water Resources Research

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The transport of fluids miscible with water arises in groundwater contamination and during remediation of the subsurface environment. For concentrated salt solutions, i.e., brines, the increased density and viscosity determine mixing processes between these fluids and ambient groundwater. Under downward flow conditions, gravitational and viscous forces work against each other to determine the interfacial mixing processes. Historically, mixing has been modeled as a dispersive process, as viscous fingering, and as a combination of both using approaches that were both analytical and numerical. A compilation of previously reported experimental data on vertical miscible displacements by fluids with significant density and viscosity contrasts reveals some agreement with a stability analysis presented by Hill (1952). Additional experimental data on one‐dimensional dispersion during downward displacement of concentrated salt solutions by freshwater and freshwater displacement by brines support the stability analysis and provides an empirical representation for dispersion coefficients as functions of a gravity number and a mobility ratio.

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Section: Appendix Amentioning

confidence: 99%

Viscous and gravitational contributions to mixing during vertical brine transport in water‐saturated porous media

Flowers

Hunt

2007

Water Resources Research

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“…In order to better understand the influence of the density variation on the plume propagation, a large number of laboratory experiments have investigated miscible fluid displacements. Globally, these experiments carried out in vertical column (1D) or in flow containers (2 or 3D) have concentrated on the spatial extension of the mixing zone and/or on plume stability [2,4,10,12,17,21,22,25,26,28,[30][31][32]35]. In these laboratory studies, the concentration distribution inside the mixing zone was generally measured by electric conductivity [2,4,10,12,17,26,32], by flow visualization [25,28,31,35] or by dual-energy gamma radiation techniques [22].…”

Section: Introductionmentioning

confidence: 99%

Experimental and numerical study of the validity of Hele–Shaw cell as analogue model for variable-density flow in homogeneous porous media

Oltéan

Golfier

Buès

2008

Advances in Water Resources

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“…Once a vertical flow is imposed on this system, the nondimensional parameters governing instability become much more complex. For example, Bues and Aachib [1991] investigated miscible displacement processes in a vertical column with a uniform velocity distribution and established a criterion of stability that is defined as a[Bues and Aachib, 1991].Our problem is yet more complicated than Bues and Aachib[1991], in that (1) the problem is two-dimensional, (2) the gravity vector is located perpendicular to the flow field,(3) the dispersion zone widens downstream, and (4) the experimental studies [Schincariol and Schwartz, 1990; Oostrom et al, 1992] show the flows are unsteady. Carrying the analytical analysis of stability beyond List [1965] is a challenging and perhaps intractable problem; however, it is clear that Rayleigh theory cannot stand as a substitute.…”

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On the generation of instabilities in variable density flow

Schincariol¹,

Schwartz²,

Mendoza³

1994

Water Resources Research

108

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Interfacial or fingering instabilities have been studied recently in relation to contamination problems where a more dense plume is enclosed by and is moving along in a body of less dense fluid. Instabilities can play an important role in the mixing or dispersion process. Through the use of a variable density flow and transport code, we were able to study how the style of interfacial perturbation controls the pattern of instability development. Whether initial perturbations grow or decay depends mainly on the wavelength of the perturbing function. A critical perturbation wavelength must be exceeded for a perturbation to grow; otherwise the perturbation simply decays. Our work confirms earlier analyses that suggest that all stratified systems are inherently unstable, given some spectrum of the perturbing waves that exceed the critical wavelength. By implication, Rayleigh number stability criteria are inappropriate for evaluating the dense plume problem. Our study also demonstrates how numerical errors in a mass transport code can serve as a perturbing function and lead to the development of instabilities. However, these instabilities are not physically realistic and are essentially uncontrollable because their character depends on the extent to which numerical errors develop, as evidenced by the grid Peclet and Courant numbers.

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Influence of the heterogeneity of the solutions on the parameters of miscible displacement in saturated porous medium

Cited by 18 publications

References 12 publications

Viscous and gravitational contributions to mixing during vertical brine transport in water‐saturated porous media

Viscous and gravitational contributions to mixing during vertical brine transport in water‐saturated porous media

Experimental and numerical study of the validity of Hele–Shaw cell as analogue model for variable-density flow in homogeneous porous media

On the generation of instabilities in variable density flow

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