Application of Adaptive Mesh-Refinement With a New Higher-Order Method in Simulation of a North Sea Micellar/Polymer Flood

Khan, S.A.; Trangenstein, John A.; Horning, R.D.; Holing, Kent; Schilling, B.E.R.

doi:10.2523/29145-ms

Cited by 3 publications

(1 citation statement)

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“…The use of this second-order Godunov-type scheme was applied to the polymer system in [44] and found to perform well compared to standard finite-difference schemes. In [56] a high-order Godunov scheme was combined with adaptive mesh refinement and applied to a realistic north-sea polymer flood. The accuracy of first-and higher-order schemes in an ENO setting was investigated for an enhanced condensate process in [49,90].…”

Section: Other Approachesmentioning

confidence: 99%

Errors in the Upstream Mobility Scheme for Counter-Current Two-Phase Flow With Discontinuous Permeabilities

Mykkeltvedt¹,

Aavatsmark²,

Tveit³

2012

ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery

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This dissertation consists of two parts. The first part provides the background theory for the papers included in the second part. The background theory in Part I is structured as follows. First, the motivation and scope of this thesis are given in Chapter 1. Next, different properties and concepts of flow in a reservoir and the applications polymer flooding and CO 2 sequestration are introduced. The governing equations for two-phase flow and the mentioned applications are derived in Chapter 2. These equations are on the general form of hyperbolic conservation laws. General theory and background on this class of equations are given in Chapter 3. In Chapter 4 a general framework for solving hyperbolic conservation laws numerically is presented, with focus on the numerical schemes used in the included papers. Finally, in Chapter 5 the included papers found in Part II are summarized and discussed.

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Section: Other Approachesmentioning

confidence: 99%

Errors in the Upstream Mobility Scheme for Counter-Current Two-Phase Flow With Discontinuous Permeabilities

Mykkeltvedt¹,

Aavatsmark²,

Tveit³

2012

ECMOR XIII - 13th European Conference on the Mathematics of Oil Recovery

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Adaptive Mesh Refinement and Multilevel Iteration for Flow in Porous Media

Hornung

Trangenstein

1997

Journal of Computational Physics

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Application of Dynamic Gridding Techniques to IOR/EOR-Processes

Batenburg

Bosch

Boerrigter³

et al. 2011

SPE Reservoir Simulation Symposium

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IOR/EOR processes have moving fronts and require an accurate description at a scale much smaller than typical grid block sizes used in black-oil simulations. Furthermore, they may require extra fluid components and phases, or thermal properties, or sometimes chemical reactions between components. However, simulation of these processes on a high resolution grid throughout the reservoir is still not practical with today's computing power. One solution is to start on a coarse grid that is dynamically adjusted to provide sufficient resolution where needed. The challenge in such an approach is in identifying where and when to adjust the grid. This paper presents a semi-implicit scheme, that allows for the evaluation of grid adaption criteria within a time step, and guarantees that grid refinements occur where the fronts have propagated at the end of each time step. No assumptions on front movement need to be made in advance. The scheme is robust and accurate, while still providing strict control on the number of blocks by minimizing the extent of refined zone(s). This is of particular importance for nested refinements as the number of blocks rapidly grows with each extra refinement level. The combined use of changes in properties in space and in time allows for the definition of criteria that always reliably position the refinements along the fronts. Application of this dynamic gridding approach in simulation models with water-flooding, chemical-flooding, gas injection, and in-situ combustion demonstrates that efficient nested dynamic gridding can be implemented in a general purpose simulator to provide sufficient physical and spatial detail in meaningful field or pattern models for IOR/EOR. The key to fast and accurate dynamic gridding is the implicit evaluation of proper criteria for refining and coarsening.

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Application of Adaptive Mesh-Refinement With a New Higher-Order Method in Simulation of a North Sea Micellar/Polymer Flood

Cited by 3 publications

References 0 publications

Errors in the Upstream Mobility Scheme for Counter-Current Two-Phase Flow With Discontinuous Permeabilities

Errors in the Upstream Mobility Scheme for Counter-Current Two-Phase Flow With Discontinuous Permeabilities

Adaptive Mesh Refinement and Multilevel Iteration for Flow in Porous Media

Application of Dynamic Gridding Techniques to IOR/EOR-Processes

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