Effect of Grid Deviation on Flow Solutions

Wu, Xiaohui; Parashkevov, Rossen

doi:10.2118/92868-ms

Cited by 24 publications

(22 citation statements)

References 13 publications

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“…However, since the grid on practical geo-cellular models may be highly non-orthogonal (or K-orthogonal) due to grid deviation, FVM with TPFA may give relatively large error in flows with strong vertical components [28]. Note that FVM-TPFA does not converge to the exact solution even when the grid is refined.…”

Section: Validation Of the Hybrid Methodsmentioning

confidence: 99%

Global Scale-up on Reservoir Models with Piecewise Constant Permeability Field

Parashkevov

Stone

et al. 2008

Journal of Algorithms & Computational Technology

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Global scale-up was first proposed in the 1980s, and its benefits are well-described in the literature. However, global scale-up has not been widely applied in practice due to significant technical challenges. In this paper, we analyze some of the theoretical and numerical difficulties and present practical resolutions. First, we derive the flux and energy formulations for scale-up by using a Multiscale Finite Element framework. These formulations can be applied to local, extended local and global scale-up. Then we present a new method to improve scaleup accuracy for geo-cellular models with piecewise constant permeability. On these models, large jumps in the permeability field lead to well-known singularities in the flow solutions, making them difficult to be calculated accurately. We show that inaccurate flow solutions can lead to large scale-up errors. To mitigate the effect of the singularities and improve the scale-up accuracy, we have developed a hybrid method for solving flows which utilizes the fact that the Continuous Galerkin (CG) finite elment method and the Mixed finite element method provide upper and lower bounds, respectively, for the effective permeability. The new method uses CG to compute the pressure solution followed by a weighted L 2 projection of the numerical fluxes to enforce local mass conservation. Numerical examples are presented to demonstrate the effectiveness of the hybrid method.

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Section: Validation Of the Hybrid Methodsmentioning

confidence: 99%

Global Scale-up on Reservoir Models with Piecewise Constant Permeability Field

Parashkevov

Stone

et al. 2008

Journal of Algorithms & Computational Technology

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“…As a result, coarser model is developed to be used for dynamic simulation. In line with the above, various techniques have been proposed for calculating average grid value to be used for simulation grid (Aavatsmark et al 2010;Mallison et al 2014;Wu and Parashkevov 2010). Having obtained the grid ready for numerical simulation, the formulation of the reservoir dynamics begins.…”

Section: Literature Review Static and Dynamic Reservoir Modelingmentioning

confidence: 99%

Optimizing oil and gas field management through a fractal reservoir study model

Habib

Yao

Xie

et al. 2016

J Petrol Explor Prod Technol

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Integration among geophysics, geology, reservoir engineering, geochemists, geomechanics and management is truly essential, but needs some specific approaches and methodologies for developing and calibrating a study model capable of dealing with all and each of these aspects. The ability for a multitask project team to easily search, modify, visualize and/or analyze a multidisciplinary study results in a quick, responsive and easily comprehendible manner is still a problem of the petroleum industry. In this work, various modeling workflows were examined so as to highlight unavoidable interdependencies between these multidisciplinary specialists in the process of oil and/or gas reservoir studies. The traditional multidisciplinary working methods which were hitherto available are examined and some lapses identified. An optimized integrated study approach was further proposed. The optimized integrated approach is expected to have tremendous advantages in terms of improving the quality as well as flexibility of oil and gas reservoir studies, a working time reduction, and is expected to serve as a single final approach that can be adapted or used to tackle reservoir study problems.

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“…Anisotropy aside, for isotropic problems on distorted (non-K-orthogonal) meshes, conventional CVFD techniques do not converge to the exact solution even if the grid is infinitely refined. 5 We conducted a large number of convergence tests using both analytical and fine grid numerical solutions. Outcomes of these tests indicate that convergence rate statements about the MFVM potential and flux solutions hold for Dirichlet, Neumann, and more general mixed boundary value problems.…”

Section: Impact Of Grid Distortion and Full-tensor Permeability On Mfmentioning

confidence: 99%

“…Realistic, yet, computationally viable simulation models for such reservoirs could be generated by means of a full-tensor permeability scale-up procedure. [5][6][7] Resulting reservoir models characteristically involve permeability tensors with large offdiagonal terms. In conventional corner-point discretization schemes permeabilities are defined along the local block coordinates.…”

Section: Introductionmentioning

confidence: 99%

A Mimetic Finite-Volume-Discretization Operator for Reservoir Simulation

Alpak

2007

All Days

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fax 01-972-952-9435. AbstractAccurate representation of complex reservoir geology using non-orthogonal meshes, upscaling of high-resolution geostatistical reservoir models including cross-flow effects, and strongly heterogeneous anisotropic permeable media such as cross-bedded sands and thin-bedded turbidite channels all individually or in combination give rise to simulation models with full-tensor permeability fields. Such anisotropic multiphase flow problems can be solved accurately on arbitrary non-orthogonal structured and unstructured meshes using the mimetic finite volume method. The discretization operator of the mimetic finite volume method satisfies conservation laws, and theorems of vector and tensor calculus on non-orthogonal, non-smooth, structured and unstructured computational meshes.In this paper, we demonstrate the formulation of a threedimensional variant of the mimetic finite volume method for corner-point geometry hexahedral meshes. We also discuss the results and issues associated with the implementation of the mimetic finite volume discretization operator in a parallel, fully-implicit research reservoir simulator developed using a general compositional formulation. Simulation results are presented for a variety of cases involving flow through geologically complex systems.

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Effect of Grid Deviation on Flow Solutions

Cited by 24 publications

References 13 publications

Global Scale-up on Reservoir Models with Piecewise Constant Permeability Field

Global Scale-up on Reservoir Models with Piecewise Constant Permeability Field

Optimizing oil and gas field management through a fractal reservoir study model

A Mimetic Finite-Volume-Discretization Operator for Reservoir Simulation

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