Numerical modeling of multiphase first-contact miscible flows. Part 1. Analytical Riemann solver

Juanes, Rubén; Lie, Knut–Andreas

doi:10.1007/s11242-006-9031-1

Cited by 12 publications

(7 citation statements)

References 30 publications

(32 reference statements)

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“…The observed discrepancies can be explained referring to miscible displacement processes (Juanes and Lie, 2007;Obernauer et al, 1994;Singh and Azaiez, 2001;Yan et al, 2013). During the first pore volume water is displaced by guar gum, that is, a viscous fluid is displacing a less viscous one.…”

Section: Guar Gum Flow Processesmentioning

confidence: 99%

Guar gum solutions for improved delivery of iron particles in porous media (Part 1): Porous medium rheology and guar gum-induced clogging

Gastone

Tosco

Sethi

2014

Journal of Contaminant Hydrology

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The present work is the first part of a comprehensive study on the use of guar gum to improve delivery of microscale zero-valent iron particles in contaminated aquifers. Guar gum solutions exhibit peculiar shear thinning properties, with high viscosity in static conditions and lower viscosity in dynamic conditions: this is beneficial both for the storage of MZVI dispersions, and also for the injection in porous media. In the present paper, the processes associated with guar gum injection in porous media are studied performing single-step and multi-step filtration tests in sand-packed columns. The experimental results of single-step tests performed by injecting guar gum solutions prepared at several concentrations and applying different dissolution procedures evidenced that the presence of residual undissolved polymeric particles in the guar gum solution may have a relevant negative impact on the permeability of the porous medium, resulting in evident clogging. The most effective preparation procedure which minimizes the presence of residual particles is dissolution in warm water (60°C) followed by centrifugation (procedure T60C). The multi-step tests (i.e. injection of guar gum at constant concentration with a step increase of flow velocity), performed at three polymer concentrations (1.5, 3 and 4g/l) provided information on the rheological properties of guar gum solutions when flowing through a porous medium at variable discharge rates, which mimic the injection in radial geometry. An experimental protocol was defined for the rheological characterization of the fluids in porous media, and empirical relationships were derived for the quantification of rheological properties and clogging with variable injection rate. These relationships will be implemented in the second companion paper (Part II) in a radial transport model for the simulation of large-scale injection of MZVI-guar gum slurries.

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Section: Guar Gum Flow Processesmentioning

confidence: 99%

Guar gum solutions for improved delivery of iron particles in porous media (Part 1): Porous medium rheology and guar gum-induced clogging

Gastone

Tosco

Sethi

2014

Journal of Contaminant Hydrology

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“…In fact, historically, numerical applications such as polymer flooding [45] and chromatography [50] preceded the development of the more theoretical perspective. More recently, the front tracking method was also coupled with a finite difference scheme for polymer flooding [20] and combined with streamline simulations for the solution of three-dimensional problems of three-phase and multicomponent flows through porous media [25,26,35], where numerical solutions for both 1D and 3D problems are compared. The numerical solution of a specific application by front tracking always requires structural knowledge on the specific system.…”

Section: Related Workmentioning

confidence: 99%

On Riemann problems and front tracking for a model of sedimentation of polydisperse suspensions

Berres

Bürger²

2007

Z Angew Math Mech

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This paper analyses a continuum model of the sedimentation of polydisperse suspensions, where the volume concentrations of the solids species are the sought unknowns. This leads to systems of conservation laws which are non-genuinely nonlinear ("non-convex") in the sense that they are only piecewise genuinely nonlinear. The solution of a Riemann problem is represented as a concatenation of elementary waves, where the linear degeneracy requires using the Liu entropy condition. After a general description of the composition of elementary waves, an algorithm for the computational construction is given. The solution of the Riemann problem is then utilized as a problem-adapted building block of a front tracking method. For the model of bidisperse suspensions, Riemann problems are classified by the location of the left and right state in the phase space of unknown variables. The front tracking method is applied to solve the initial value problem of a first-order hyperbolic 2 × 2 system of conservation laws describing the settling of a bidisperse suspension. The solution obtained by front tracking is compared with results obtained by an experiment and a finite difference scheme.

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“…There are various types of wave, including continuous (rarefaction) waves, discontinuous self-sharpening (shock) waves, and discontinuous indifferent (contact) waves (Smoller 1994). Juanes and Lie (2007) provide a complete analysis of the system without viscous fingering by drawing an analogy with the polymer system (Isaacson 1980), and Juanes and Blunt (2006) do the same for the system that includes viscous fingering. That analysis, which includes a study of the mathematical character of the system of equations, a description of the different waves that may arise, and a complete classification of the Riemann solution, will not be repeated here.…”

Section: Governing Equations Without Viscous Fingeringmentioning

confidence: 99%

Impact of Viscous Fingering on the Prediction of Optimum WAG Ratio

Juanes

Blunt

2007

SPE Journal

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In miscible flooding, injection of solvent is often combined with water to reduce the mobility contrast between injected and displaced fluids and control the degree of fingering. Using traditional fractional-flow theory, Stalkup estimated the optimum watersolvent ratio (or WAG ratio) when viscous fingering effects are ignored, by imposing that the solvent and water fronts travel at the same speed. Here we study how the displacement efficiency and the mobility ratio across the solvent front vary with the WAG ratio when fingering is included in the analysis. We do so by computing analytical solutions to a 1D model of two-phase, three-component, first-contact miscible flow that includes the macroscopic effects of viscous fingering. The macroscopic model, originally proposed by Blunt and Christie (1993, 1994), employs an extension of the Koval fingering model to multiphase flows. The premise is that the only parameter of the model-the effective mobility ratio-must be calibrated dynamically until self-consistency is achieved between the input value and the mobility contrast across the solvent front. This model has been extensively validated by means of high-resolution simulations that capture the details of viscous fingering and carefully-designed laboratory experiments.The results of this paper suggest that, while the prediction of the optimum WAG ratio does not change dramatically by incorporating the effects of viscous fingering, it is beneficial to inject more solvent than estimated by Stalkup's method. We show that, in this case, both the pore volumes injected (PVI) for complete oil recovery and the degree of fingering are minimized. Mathematical ModelWe are interested in the flow through a porous medium of a mixture of three components (water, oil, and solvent) that form two distinct fluid phases (aqueous and hydrocarbon phases). We assume that water is immiscible with the two hydrocarbon components, and that oil and solvent mix readily (first-contact miscibility) to form a single hydrocarbon phase. The mathematical treatment is simplified by the assumptions that the fluids and the medium are incompressible, and that there is no volume change upon mixing of the hydrocarbon components. In addition, the

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Numerical modeling of multiphase first-contact miscible flows. Part 1. Analytical Riemann solver

Cited by 12 publications

References 30 publications

Guar gum solutions for improved delivery of iron particles in porous media (Part 1): Porous medium rheology and guar gum-induced clogging

Guar gum solutions for improved delivery of iron particles in porous media (Part 1): Porous medium rheology and guar gum-induced clogging

On Riemann problems and front tracking for a model of sedimentation of polydisperse suspensions

Impact of Viscous Fingering on the Prediction of Optimum WAG Ratio

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