Reaction front fingering in carbonate-cemented sandstones

Chen, Wei; Ortoleva, P.

doi:10.1016/0012-8252(0)90036-u

Cited by 43 publications

(14 citation statements)

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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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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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“…Weakly nonlinear analyses have considered the issue of equilibration of the patterns. 19,21 Numerical solutions have shown equilibration 19 as well as dynamically unstable nonlinear states 22 which exhibit secondary instabilities and tip splitting in a fashion analogous to viscous fingering. 23 Our focus in this paper is in the study of the interaction between viscously driven instabilities and the reactivediffusive-convective transport of a single reacting species.…”

Section: Introductionmentioning

confidence: 99%

Viscous fingering in reaction-diffusion systems

Wit

Homsy

1999

The Journal of Chemical Physics

112

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The problem of viscous fingering is studied in the presence of simultaneous chemical reactions. The flow is governed by the usual Darcy equations, with a concentration-dependent viscosity. The concentration field in turn obeys a reaction-convection-diffusion equation in which the rate of chemical reaction is taken to be a function of the concentration of a single chemical species and admits two stable equilibria separated by an unstable one. The solution depends on four dimensionless parameters: R, the log mobility ratio, Pe, the Peclet number, ␣, the Damköhler number or dimensionless rate constant, and d, the dimensionless concentration of the unstable equilibrium. The resulting nonlinear partial differential equations are solved by direct numerical simulation over a reasonably wide range of Pe, ␣, and d. We find new mechanisms of finger propagation that involve the formation of isolated regions of either less or more viscous fluid in connected domains of the other. Both the mechanism of formation of these regions and their effects on finger propagation are studied in some detail.

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“…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.…”

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confidence: 99%

“…The experiments and nonlinear simulations of a RDC model give results in good agreement. We emphasize that the modeling of this precipitation-induced fingering is analogous to that of reactive viscous fingering [20,21,[24][25][26][27] and dissolution-driven fingering [2][3][4][5][6][7][8][9][10] with nonmonotonic profiles. The present study paves the way to future detailed analysis of the influence of precipitation reactions on the stability of displacement processes in porous media.…”

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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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Reaction front fingering in carbonate-cemented sandstones

Cited by 43 publications

References 4 publications

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

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

Viscous fingering in reaction-diffusion systems

Hydrodynamic Fingering Instability Induced by a Precipitation Reaction

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