Implicit flux limiting schemes for petroleum reservoir simulation

Blunt, Martin J.; Rubin, Barry

doi:10.1016/s0021-9991(05)80015-4

Cited by 76 publications

(26 citation statements)

References 16 publications

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“…They suggested that this high sensitivity to numerical dispersion is due to the coupling between salinity and relative permeability. Since low-salinity simulations essentially use an extended black oil model, higher-order schemes [8][9][10][11] can be used to resolve numerical dispersion effects. Nonetheless, due to the immaturity of lowsalinity flooding as an enhanced oil recovery technique, no work has specifically reported the results of using such schemes for low-salinity flooding.…”

Section: Numerical Dispersion In Low-salinity Simulationsmentioning

confidence: 99%

“…In multi-component flow, thanks to the coupling of component concentration and fractional flow, errors in the concentration profile affect the fractional flow and lead to incorrect wavespeeds and the excessive smearing of fronts. Rather than offering an improved discretization scheme [8][9][10][11], we have proposed a simple physically based approach for addressing numerical dispersion in simulations of polymer flooding [12]. The method is based on segregation within a gridblock and was shown to reestablish the self-sharpening nature of the trailing shock in polymer flooding, hence reducing numerical dispersion effects and enabling the use of coarser grids [12].…”

Section: Introductionmentioning

confidence: 99%

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A segregated flow scheme to control numerical dispersion for multi-component flow simulations

AlSofi

Blunt

2012

Comput Geosci

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One of the challenges for reservoir simulation is numerical dispersion. For waterflooding applications the effect is controlled due to the self-sharpening nature of a Buckley-Leverett shock. However, for multicomponent flow simulations, incorrect wavespeeds can develop leading to the excessive smearing of fronts because of the coupling of compositional dispersion with the fractional flow. Rather than implementing a higher-order discretization method, we propose a simple scheme based on segregation-in-flow within a gridblock to control numerical dispersion. We extend the method originally proposed for polymer flooding to augmented waterflooding simulations in general as well as simulations of miscible or near miscible gas injection. For compositional simulations of gas injection, this is done through a coupled limited-flash/upstreamexclusion assumption. To test the scheme, an in-house streamline simulator has been modified and validated for modeling low-salinity floods as well as ternary two-phase displacements. Simulation results presented with and without segregation demonstrate the potential of the approach as a heuristic method to control numerical dispersion in multi-component flow simulations.

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Section: Numerical Dispersion In Low-salinity Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A segregated flow scheme to control numerical dispersion for multi-component flow simulations

AlSofi

Blunt

2012

Comput Geosci

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“…It computes the phase behavior as a function of pressure and composition of the individual components, oil, gas, and water. So far, the Trangenstein and Bell (1989a) black-oil model was used in the industry mainly to test the stability and efficiency of new numerical schemes for solving coupled partial differential equations describing strongly nonlinear fluid flow in porous media (Blunt and Rubin 1992;Dicks 1993;Bergamaschi et al 1998;Chen 2000;Li et al 2003Li et al , 2004Peszynska 2006). It is quite similar to the compositional model that was developed by the same authors (Trangenstein and Bell 1989b).…”

Section: Physical and Mathematical Modelmentioning

confidence: 99%

Black-Oil Simulations for Three-Component, Three-Phase Flow in Fractured Porous Media

Geiger¹,

et al. 2009

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Discrete-fracture modeling and simulation of two-phase flow in realistic representations of fractured reservoirs can now be used for the design of improved-oil-recovery (IOR) and enhanced-oilrecovery (EOR) strategies. Thus far, however, discrete-fracture simulators usually do not include a third compressible gaseous phase. This hinders the investigation of the performance of gas gravity drainage, water alternating gas injection, and blowdown in fractured reservoirs.We present a new numerical method that expands the capabilities of existing black-oil models for three-component, three-phase flow in three ways: (a) It uses a finite-element/finite-volume discretization generalized to unstructured hybrid element meshes. (b) It employs higher-order accurate representations of the flux terms. (c) Flash calculations are carried out with an improved equation of state allowing for a more realistic treatment of phase behavior.We illustrate the robustness of this numerical method in several applications. First, quasi-1D simulations are used to demonstrate grid convergence. Then, 2D discrete-fracture models are used to illustrate the effect of mesh quality on predicted production rates in discrete-fracture models. Finally, the proposed method is used to simulate three-component, three-phase flow in a realistic 2D model of fractured limestone mapped in the Bristol Channel, UK, and create a 3D stochastically generated discretefracture model.

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“…More redata. A major extension to the Godunov's scheme was cently, Loh and Hui [18] developed a first-order Godunov made by Van Leer in his MUSCL scheme [2,3] which scheme for steady supersonic flows; Blunt and Rubin [19] used a Riemann solver to advance piecewise linear data.…”

Section: Introductionmentioning

confidence: 99%

Iterative Implementation of an Implicit–Explicit Hybrid Scheme for Hydrodynamics

Dai

Woodward

1996

Journal of Computational Physics

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Implicit flux limiting schemes for petroleum reservoir simulation

Cited by 76 publications

References 16 publications

A segregated flow scheme to control numerical dispersion for multi-component flow simulations

A segregated flow scheme to control numerical dispersion for multi-component flow simulations

Black-Oil Simulations for Three-Component, Three-Phase Flow in Fractured Porous Media

Iterative Implementation of an Implicit–Explicit Hybrid Scheme for Hydrodynamics

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