Four-component gas/water/oil displacements in one dimension: Part I. structure of the conservation law

LaForce, Tara; Jessen, Kristian; Orr, Franklin M.

doi:10.1007/s11242-007-9120-9

Cited by 20 publications

(15 citation statements)

References 31 publications

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“…The assumption of constant K values is typically acceptable for systems that are far from miscibility. The structure of the conservation law for three-phase quaternary systems with constant K value phase behavior is discussed in detail in [11,12]. Equation 1 can be reformulated as an eigenvalue problem and the solution route can be constructed by following the eigenvector paths and introducing shocks in composition space where necessary.…”

Section: Mathematical Theorymentioning

confidence: 99%

“…Recently, analytical solutions have been developed for four-component, threephase flow through a porous medium with significant solubility of all components in all phases. These solutions have been limited to water and CO 2 injection into reservoirs that contain only hydrocarbons, but may have gas and oleic phases initially present [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

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Analytical and numerical investigation of multicomponent multiphase WAG displacements

LaForce

Jessen

2010

Comput Geosci

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In this paper the ability of analytical solutions for four-component three-phase flow to predict displacement efficiency in water alternating gas (WAG) injection processes is studied. First analytical solutions for Riemann problems with injection compositions that are the average water and gas mixture for various WAG injection schemes are presented. These solutions are compared to numerical calculations with variable slug sizes and used to explore the effect of slug size, injecting water vs gas first, and the average injection composition on displacement efficiency in compositional WAG schemes. The example model is partially miscible WAG injection of water and CO 2 into an oil reservoir containing C 10 and CH 4 with and without a mobile aqueous phase present initially. The trailing end of the water and gas profiles are sensitive to whether water or gas is injected first, but the magnitude of the oil bank and the breakthrough time of the injected fluids are accurately predicted by the analytical solutions, even for displacements where large water and gas slugs are injected. Fluctuations in the saturation and composition profiles resulting from the alternating injection sequence in the WAG simulations appear as T. LaForce (B) super-imposed on top of the sequence of rarefaction and shock waves predicted by analytical solutions. As the number of slugs increases, the effect of alternating boundary conditions diminishes and the displacements predicted by numerical calculations converge to the analytical solutions.

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Section: Mathematical Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical and numerical investigation of multicomponent multiphase WAG displacements

LaForce

Jessen

2010

Comput Geosci

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“…The phase behavior and parameters used in this work are given in part I of this series of papers (LaForce et al 2007). The phase behavior is shown in Figs.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…In part I we derived a parameterization of the eigenvalue problem that allows us to take advantage of much of the previously developed theory for conservation laws modeling multicomponent porous media flow (LaForce et al 2007). We also discussed the loss of strict hyperbolicity in this conservation law.…”

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confidence: 99%

Four-component gas/water/oil displacements in one dimension: part II, example solutions

2007

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In this article analytical solutions are constructed for a system of conservation laws modeling compositional flow of four components in three phases using the method of characteristics (MOC). Every component partitions between all phases present, and the equilibrium volume ratios of the components in each phase are fixed. Riemann problems modeling the injection of carbon dioxide and water in a depleted oil reservoir are studied, and the sensitivity of the solutions to changes in boundary conditions is analyzed. Finally the MOC solutions are compared to simulated displacements.

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“…The generalization of analytical theory to include both mobile water and developed miscibility is critical in understanding the complex drive mechanisms that occur in miscible displacements when simultaneous water and gas injection (SWAG) is used. In parts I (LaForce et al 2008a) and II (LaForce et al 2008b) of this article series, we studied conservation laws for three-phase, four-component displacements using constant K -value phase behavior for the partitioning of the components between all of the phases. This model is reasonable for systems far from miscibility and simplifies the eigenvalue problem considerably.…”

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confidence: 99%

Four-Component Gas/Water/Oil Displacements in One Dimension: Part III, Development of Miscibility

LaForce

Orr

2008

Transp Porous Med

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The structure of the system of conservation laws in fully compositional three-phase, four-component flow is examined for the first time. Two of the eigenvalues can be found analytically for this flow regime, regardless of the equation of state used to model the phase behavior. A cubic equation of state is used to calculate the gas/oil phase behavior and Henry's law is used to represent the partitioning of hydrocarbons between the hydrocarbon and water phases. Sample analytical solutions are found for Riemann problems modeling the injection of carbon-dioxide and water into an oil reservoir. Finally, the structure of the solutions at the minimum miscibility pressure (MMP) for the hydrocarbon system is studied. We show that when water is injected simultaneously with gas at the MMP, multicontact miscible displacement of the oil by the injected gas develops only if the fraction of water in the injected fluid is below a critical value. For water fractions above the critical value, water flowing at a high velocity forces the composition path of the solution to remain in the three-phase region in which two hydrocarbon phases are present. We study both condensing and vaporizing gas drives to demonstrate that this result is general.

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Four-component gas/water/oil displacements in one dimension: Part I. structure of the conservation law

Cited by 20 publications

References 31 publications

Analytical and numerical investigation of multicomponent multiphase WAG displacements

Analytical and numerical investigation of multicomponent multiphase WAG displacements

Four-component gas/water/oil displacements in one dimension: part II, example solutions

Four-Component Gas/Water/Oil Displacements in One Dimension: Part III, Development of Miscibility

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