Development of a Mixed Finite-Element-Based Compositional Reservoir Simulator

Durlofsky, Louis J.; Chien, M.C.H.

doi:10.2523/25253-ms

Cited by 7 publications

(8 citation statements)

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“…[41][42][43] This operator splitting approach naturally lends itself to the implementation of specialized solution techniques for each of the two types of equations. The partial differential equation for pressure, which arises from the operator splitting approach, is parabolic in nature with small temporal derivative terms.…”

Section: Solution Of the Split Coupled Systemmentioning

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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Section: Solution Of the Split Coupled Systemmentioning

confidence: 99%

A Mimetic Finite-Volume-Discretization Operator for Reservoir Simulation

Alpak

2007

All Days

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“…A triangle-based mixed finite element -finite volume formulation was developed for compositional reservoir simulation [27]. This formulation uses total flux approximation and IMPES scheme.…”

Section: Application Of the Mfem In Reservoir Simulationmentioning

confidence: 99%

On-line Optimization-Based Simulators for Fractured and Non-fractured Reservoirs

Deo¹

2005

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Oil field development is a multi-million dollar business. Reservoir simulation is often used to guide the field management and development process. Reservoir characterization and geologic modeling tools have become increasingly sophisticated. As a result the geologic models produced are complex. Most reservoirs are fractured to a certain extent. The new geologic characterization methods are making it possible to map features such as faults and fractures, field-wide. Significant progress has been made in being able to predict properties of the faults and of the fractured zones.Traditionally, finite difference methods have been employed in discretizing the domains created by geologic means. For complex geometries, finite-element methods of discretization may be more suitable. Since reservoir simulation is a mature science, some of the advances in numerical methods (linear, nonlinear solvers and parallel computing) have not been fully realized in the implementation of most of the simulators.The purpose of this project was to address some of these issues.• One of the goals of this project was to develop a series of finite-element simulators to handle problems of complex geometry, including systems containing faults and fractures.• The idea was to incorporate the most modern computing tools;use of modular object-oriented computer languages,the most sophisticated linear and nonlinear solvers, parallel computing methods and good visualization tools.• One of the tasks of the project was also to demonstrate the construction of fractures and faults in a reservoir using the available data and to assign properties to these features.• Once the reservoir model is in place, it is desirable to find the operating conditions, which would provide the best reservoir performance. This can be accomplished by utilization optimization tools and coupling them with reservoir simulation. Optimization-based reservoir simulation was one of the project goals.

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“…Unstructured meshes can handle important features of the reservoirs such as irregular boundaries, sealing faults, discrete fractures, and deviated wells without the utilization of numerical tricks like the inactive blocks commonly used to mimic irregular boundaries, when structured meshes like the conventional Cartesian meshes are employed. Most methodologies that employ unstructured meshes are classified as the control volume finite-element method [4][5][6], [8][9][10][11][12], [18][19], [21], the finite element method, or the mixed finite element method [7,[13][14][15].…”

Section: Introductionmentioning

confidence: 99%

2d Compositional Reservoir Simulation Using Unstructured Grids in Heterogeneous Reservoirs

Fernandes¹,

Lima²,

Araújo³

et al. 2014

Proceedings of 10th World Congress on Computational Mechanics

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This paper presents a 2D implementation of an element-based finite-volume formulation (EbFVM) using triangles, quadrilaterals, or a combination of both elements in conjunction with a compositional reservoir simulator. The formulation is implemented into the UTCOMP simulator considering a full tensor formulation for the advection and diffusion terms. The UTCOMP simulator was developed at the Center of Petroleum and Geosystems Engineering at The University of Texas at Austin for the simulation of enhanced recovery processes. UTCOMP is a compositional multiphase/multi-component, IMPEC simulator, which can handle the simulation of miscible gas flooding processes. The results of several case studies involving homogeneous and heterogeneous reservoirs are presented in terms of volumetric rates of oil and gas, and saturation fields.

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Development of a Mixed Finite-Element-Based Compositional Reservoir Simulator

Cited by 7 publications

References 0 publications

A Mimetic Finite-Volume-Discretization Operator for Reservoir Simulation

A Mimetic Finite-Volume-Discretization Operator for Reservoir Simulation

On-line Optimization-Based Simulators for Fractured and Non-fractured Reservoirs

2d Compositional Reservoir Simulation Using Unstructured Grids in Heterogeneous Reservoirs

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