A 3D Total Variation Diminishing Scheme for Compositional Reservoir Simulation Using the Element-Based Finite-Volume Method

Bruno Ramon Batista Fernandes Laboratory of Computational Fluid Dynamics, Federal University of Ceará, Ceará, Brazil

Alysson Daniel Ribeiro Gonçalves Laboratory of Computational Fluid Dynamics, Federal University of Ceará, Ceará, Brazil

Edilson Pimentel Drumond Filho Laboratory of Computational Fluid Dynamics, Federal University of Ceará, Ceará, Brazil

Ivens da Costa Menezes Lima Laboratory of Computational Fluid Dynamics, Federal University of Ceará, Ceará, Brazil

Francisco Marcondes Department of Metallurgical Engineering and Material Science, Federal University of Ceará, Ceará, BrazilCorrespondence[email protected]

Kamy Sepehrnoori Department of Petroleum and Geosystems Engineering, The University of Texas at Austin, Austin, Texas, USA

Abstract

Interpolation function is a key parameter for numerical simulation using finite-difference, finite-element, and finite-volume methods, especially when the advective terms of the conservation equations are considered. Due to the flow orientation, a first-order interpolation scheme such as upwind introduces a considerable degree of numerical diffusion in the numerical solution. In this work, we present a second-order total variation diminishing scheme in conjunction with 3D compositional reservoir simulation using the element-based finite-volume method (EbFVM). The results of several case studies using the hexahedron element are shown in terms of oil, water, and gas production, as well as saturation field.

Acknowledgments

The authors thank Dr. Chowdhury K. Mamun for his comments on this manuscript.

Notes

Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/unht.

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A 3D Total Variation Diminishing Scheme for Compositional Reservoir Simulation Using the Element-Based Finite-Volume Method

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A 3D Total Variation Diminishing Scheme for Compositional Reservoir Simulation Using the Element-Based Finite-Volume Method

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