Miscible viscous fingering with a chemical reaction involving precipitation

Nagatsu, Yuichiro; Bae, Si-Kyun; Kato, Yoshihito; Tada, Yutaka

doi:10.1103/physreve.77.067302

Cited by 44 publications

(25 citation statements)

References 15 publications

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“…The focus should thus be put on physical phenomena to understand and model this selection and to forge a link between chemical garden precipitates and other patterns obtained in similar growth conditions with other reactions. [30][31][32] For example, the relative viscosity and density of the two solutions may control the observed structures in some regions of the phase diagram (flower pattern for instance). The cohesive strength of the agglomerate of precipitate, measured as the force per unit area it can sustain before rupture, compared to the fluid pressure should also be an important parameter to understand the various morphologies observed in our experiments.…”

Section: Discussionmentioning

confidence: 99%

“…2A), the viscosity ratio between the injected metallic salt solution and the displaced alkaline solution is essentially constant and close to 1. Therefore, a hydrodynamic viscous fingering instability 30,31,34,35 cannot account for the various patterns observed in this region of the diagram. For the largest silicate concentration of 6.25 M, the displaced silicate solution is roughly 35 times more viscous than the injected cobalt one, which could lead to viscous fingering.…”

Section: Influence Of the Metallic Salt Solutionmentioning

confidence: 99%

“…In our case, this gap is filled with one of the solutions, and the other solution is injected radially at a constant flow rate, the reaction taking place in the contact zone between the two solutions. [29][30][31][32] Under such conditions, a large variety of reproducible precipitation patterns emerges. Fig.…”

Section: Introductionmentioning

confidence: 99%

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Genericity of confined chemical garden patterns with regard to changes in the reactants

Haudin

Brasiliense

Cartwright

et al. 2015

Phys. Chem. Chem. Phys.

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The growth of chemical gardens is studied experimentally in a horizontal confined geometry when a solution of metallic salt is injected into an alkaline solution at a fixed flow rate. Various precipitate patterns are observed-spirals, flowers, worms or filaments-depending on the reactant concentrations. In order to determine the relative importance of the chemical nature of the reactants and physical processes in the pattern selection, we compare the structures obtained by performing the same experiment using different pairs of reactants of varying concentrations with cations of calcium, cobalt, copper, and nickel, and anions of silicate and carbonate. We show that although the transition zones between different patterns are not sharply defined, the morphological phase diagrams are similar in the various cases. We deduce that the nature of the chemical reactants is not a key factor for the pattern selection in the confined chemical gardens studied here and that the observed morphologies are generic patterns for precipitates possessing a given level of cohesiveness when grown under certain flow conditions.

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Section: Discussionmentioning

confidence: 99%

Section: Influence Of the Metallic Salt Solutionmentioning

confidence: 99%

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Genericity of confined chemical garden patterns with regard to changes in the reactants

Haudin

Brasiliense

Cartwright

et al. 2015

Phys. Chem. Chem. Phys.

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“…We explain that differences in the diffusion coefficients of the reactants can contribute to this asymmetry. We discuss the analogy of this local precipitation-induced fingering with classical viscous fingering and other reactive fingering instabilities.The experimental setup is a horizontal Hele-Shaw cell which consists in two parallel glass plates separated by a thin gap [17,18]. The cell is initially filled with a solution of B.…”

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confidence: 99%

Hydrodynamic Fingering Instability Induced by a Precipitation Reaction

et al. 2014

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We experimentally demonstrate that a precipitation reaction at the miscible interface between two reactive solutions can trigger a hydrodynamic instability due to the buildup of a locally adverse mobility gradient related to a decrease in permeability. The precipitate results from an A þ B → C type of reaction when a solution containing one of the reactants is injected into a solution of the other reactant in a porous medium or a Hele-Shaw cell. Fingerlike precipitation patterns are observed upon displacement, the properties of which depend on whether A displaces B or vice versa. A mathematical modeling of the underlying mobility profile confirms that the instability originates from a local decrease in mobility driven by the localized precipitation. Nonlinear simulations of the related reaction-diffusion-convection model reproduce the properties of the instability observed experimentally. In particular, the simulations suggest that differences in diffusivity between A and B may contribute to the asymmetric characteristics of the fingering precipitation patterns. DOI: 10.1103/PhysRevLett.113.024502 PACS numbers: 47.55.P−, 47.15.gp, 47.56.+r, 47.70.Fw Chemical reactions are able to influence and even more strikingly induce hydrodynamic fingering instabilities of a frontal interface when a high mobility fluid displaces a less mobile one in a porous medium. This occurs in viscous fingering if a less viscous fluid displaces a more viscous one [1]. Fingering can also result from a change in permeability in a porous medium as in reactive dissolution instabilities [2][3][4][5][6][7][8][9][10]. In these cases, the invading fluid contains chemicals which dissolve the solid matrix of the porous medium, leading to a related increase in porosity behind the reaction front. As a result, the resistance to flow decreases in these higher mobility reactive zones, which favors further dissolution, giving, thus, a positive feedback leading to instability. Dispersion of reactants is the stabilizing factor counteracting the growth of fluid channels in order to provide a fingered pattern with a given characteristic wavelength [2,5,7,10]. The reverse case of precipitation is not expected to destabilize an interface as the related decrease in permeability and, hence, in mobility behind the front is expected to block the flow rather than destabilize it. There is, however, increased interest to understand the effect of precipitation reactions during flow displacements in porous media in the context of CO 2 sequestration techniques [11][12][13][14]. Mineralization by which CO 2 injected in a porous medium could undergo precipitation reactions (to yield carbonates, for instance [13][14][15][16]) is indeed promising in view of a permanent safe storage of CO 2 in geological strata. Understanding the conditions in which precipitations can affect the stability of the spreading CO 2 plumes [12] is, thus, particularly important.In this context, we demonstrate experimentally and explain theoretically how a precipitation reaction localized at th...

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“…In the case of viscosity in particular, a viscous fingering (VF) instability, occurring in a porous medium when a given fluid displaces another more viscous fluid Homsy (1987), can be triggered or influenced by a chemical reaction changing the viscosity of the solution. Experimental evidences and theoretical studies of such chemically influenced viscous fingering have been obtained for reactions changing the permeability of the porous matrix by dissolution (Chadam et al 1986;Wei & Ortoleva 1990) or precipitation (Nagatsu et al 2008). In the case of immiscible flows, this instability, known as the Saffman-Taylor instability, can also be modified by reactions that change the surface tension at the fluid interface (Jahoda & Hornof 2000;Fernandez & Homsy 2003).…”

Section: Introductionmentioning

confidence: 99%

Viscous fingering of a miscible reactive A + B → C interface: a linear stability analysis

et al. 2010

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When one solution of reactant A is displacing another miscible solution of reactant B, a miscible product C can be generated in the contact zone if a simple A + B → C chemical reaction takes place. Depending on the relative effect of A, B and C on the viscosity, different viscous fingering (VF) instabilities can be observed. In this context, a linear stability analysis of this reaction-diffusion-convection problem under the quasi-steady-state approximation is performed to classify the various possible instability scenarios. To do so, we determine the criteria for an instability, obtain dispersion curves both at initial contact time using an analytical implicit solution and at later times via numerical stability analysis. Along with recovering known results for non-reactive systems where the displacement of a more viscous fluid by a less viscous one leads to a VF instability, it is found that in the presence of a chemical reaction, injecting a more viscous fluid into a less viscous fluid can also lead to instabilities. This occurs when the chemical reaction leads to the build up of non-monotonic viscosity profiles. Various instability scenarios are classified in a parameter plane spanned by R b and R c representing the log-mobility ratios of the viscosities of the B and C solution respectively with respect to that of the injected solution of A. A parametric study of the influence on stability of the Damköhler number and of the time elapsed after contact of the two reactive solutions is also conducted.

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Miscible viscous fingering with a chemical reaction involving precipitation

Cited by 44 publications

References 15 publications

Genericity of confined chemical garden patterns with regard to changes in the reactants

Genericity of confined chemical garden patterns with regard to changes in the reactants

Hydrodynamic Fingering Instability Induced by a Precipitation Reaction

Viscous fingering of a miscible reactive A + B → C interface: a linear stability analysis

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