Numerical experiments in the simulation of enhanced oil recovery from a porous formation

Sheorey, Tanuja; Muralidhar, K.; Mukherjee, Partha P.

doi:10.1016/s1290-0729(01)01284-4

Cited by 21 publications

(14 citation statements)

References 6 publications

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“…Still, from the laterally averaged saturation profiles, the authors reported that in non-isothermal displacements the saturation profiles are front dominated and correlate well with the temperature profiles. Although the study of Sheorey et al (2001) involved immiscible displacements, the stabilizing effect of thermal transfer was found to be similar to that reported by Saghir et al (2000). Finally, Holloway and de Bruyn (2005) compared experimental results of thermal displacements in a radial Hele-Shaw cell with numerical simulations using FLUENT .…”

Section: List Of Symbols Asupporting

confidence: 66%

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Miscible Thermo-Viscous Fingering Instability in Porous Media. Part 1: Linear Stability Analysis

Islam

Azaiez

2010

Transp Porous Med

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The development of the thermo-viscous fingering instability of miscible displacements in homogeneous porous media is examined. In this first part of the study dealing with stability analysis, the basic equations and the parameters governing the problem in a rectilinear geometry are developed. An exponential dependence of viscosity on temperature and concentration is represented by two parameters, thermal mobility ratio β T and a solutal mobility ratio β C , respectively. Other parameters involved are the Lewis number Le and a thermal-lag coefficient λ. The governing equations are linearized and solved to obtain instability characteristics using either a quasi-steady-state approximation (QSSA) or initial value calculations (IVC). Exact analytical solutions are also obtained for very weakly diffusing systems. Using the QSSA approach, it was found that an increase in thermal mobility ratio β T is seen to enhance the instability for fixed β C , Le and λ. For fixed β C and β T , a decrease in the thermal-lag coefficient and/or an increase in the Lewis number always decrease the instability. Moreover, strong thermal diffusion at large Le as well as enhanced redistribution of heat between the solid and fluid phases at small λ is seen to alleviate the destabilizing effects of positive β T . Consequently, the instability gets strictly dominated by the solutal front. The linear stability analysis using IVC approach leads to conclusions similar to the QSSA approach except for the case of large Le and unity λ flow where the instability is seen to get even less pronounced than in the case of a reference isothermal flow of the same β C , but β T = 0. At practically, small value of λ, however, the instability ultimately approaches that due to β C only.

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Section: List Of Symbols Asupporting

confidence: 66%

“…A subsequent numerical simulation study by Sheorey et al (2001) analyzed both isothermal and non-isothermal immiscible displacements in rectangular porous formation. The authors reported that the numerical solutions experienced growth of errors during long time integration, particularly in large regions.…”

Section: List Of Symbols Amentioning

confidence: 99%

Miscible Thermo-Viscous Fingering Instability in Porous Media. Part 1: Linear Stability Analysis

Islam

Azaiez

2010

Transp Porous Med

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“…The industrial applications include oil extraction from porous media [7][8][9], treatment of oily wastewater [10][11][12], and encapsulation of molecules, cells, and microorganisms [13][14][15]. In most of these processes, one or more phases are dispersed in a continuous phase in the form of emulsions, which are usually produced by shearing two immiscible phases against each other in the presence of surfactants [16].…”

Section: Introductionmentioning

confidence: 99%

Effects of crossflow velocity and transmembrane pressure on microfiltration of oil-in-water emulsions

Darvishzadeh

Priezjev

2012

Journal of Membrane Science

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a b s t r a c tThis study addresses the issue of oil removal from water using hydrophilic porous membranes. The effective separation of oil-in-water dispersions involves high flux of water through the membrane and, at the same time, high rejection rate of the oil phase. The effects of transmembrane pressure and crossflow velocity on rejection of oil droplets and thin oil films by pores of different cross-section are investigated numerically by solving the Navier-Stokes equation. We found that in the absence of crossflow, the critical transmembrane pressure, which is required for the oil droplet entry into a circular pore of a given surface hydrophilicity, agrees well with analytical predictions based on the Young-Laplace equation. With increasing crossflow velocity, the shape of the oil droplet is strongly deformed near the pore entrance and the critical pressure of permeation increases. We determined numerically the phase diagram for the droplet rejection, permeation, and breakup depending on the transmembrane pressure and shear rate. Finally, an analytical expression for the critical pressure in terms of geometric parameters of the pore cross-section is validated via numerical simulations for a continuous oil film on elliptical and rectangular pores.

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“…But in the case of the advection-diffusion equations as stated here, this error vanishes due to the commutativity of the operators as shown by [9]. Domain decomposition: In order to simplify computations and to decouple the domains of wall and fluid, there exist several schemes, e.g., the implicit generalized Schwarz alternating method [13] or the Uzawa algorithm (see [14,2]). Both methods are iterative and are repeated until sufficient convergence occurs or other conditions force the procedure to stop.…”

Section: Operator Splittingmentioning

confidence: 99%

Operator splitting approach applied to oscillatory flow and heat transfer in a tube

Widura

Lehn

Muralidhar

et al. 2008

Journal of Computational and Applied Mathematics

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The method of operator splitting is applied to an advection-diffusion model as it occurs in a pulse tube. Firstly, the governing equations of the simplified model are studied and the mathematical description is derived. Then the splitting approach is used to separate the advection and the diffusion part. Now it turns out that the advective part can be solved analytically and therefore the computational cost are reduced and the accuracy is increased. It is shown that the method can model an effect called Taylor dispersion. Applying a domain decomposition strategy, the solution process can be decoupled, reducing the numerical cost even more. This procedure allows to study the relevant parameters within the model with the goal to maximize the amount of energy stored within the tube wall. As a measure of efficiency, the amount of energy transferred between the fluid phase and the wall is chosen.

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Numerical experiments in the simulation of enhanced oil recovery from a porous formation

Cited by 21 publications

References 6 publications

Miscible Thermo-Viscous Fingering Instability in Porous Media. Part 1: Linear Stability Analysis

Miscible Thermo-Viscous Fingering Instability in Porous Media. Part 1: Linear Stability Analysis

Effects of crossflow velocity and transmembrane pressure on microfiltration of oil-in-water emulsions

Operator splitting approach applied to oscillatory flow and heat transfer in a tube

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