Volume 5, Issue 1
Development, Analysis and Numerical Tests of a Compositional Reservoir Simulator

Z. Chen & Y. Zhang

Int. J. Numer. Anal. Mod., 5 (2008), pp. 86-100

Published online: 2008-05

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  • Abstract

The governing equations of a compositional model for three-phase multicomponent fluid flow in multi-dimensional petroleum reservoirs are cast in terms of a pressure equation and a set of component mass balance equations in this paper. The procedure is based on a pore volume constraint for component partial molar volumes, which is different from earlier techniques utilizing an equation of state for phase fluid volumes or saturations. The present technique simplifies the pressure equation, which is written in terms of various pressures such as phase, weighted fluid, global, and pseudo-global pressures. The different formulations resulting from these pressures are numerically solved-, the numerical computations use a scheme based on the mixed finite element method for the pressure equation and the finite volume method for the component mass balance equations. A qualitative analysis of these formulations is also carried out. The analysis yields that the differential system of these formulations is of mixed parabolic-hyperbolic type, typical for fluid flow equations in petroleum reservoirs. Numerical experiments based on the benchmark problem of the third comparative solution project organized by the society of petroleum engineers are presented.

  • Keywords

compositional model reservoir simulation mixed finite elements finite volume thermodynamic equilibrium numerical experiments

  • AMS Subject Headings

35K60 35K65 76S05 76T05

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COPYRIGHT: © Global Science Press

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@Article{IJNAM-5-86, author = {Z. Chen and Y. Zhang}, title = {Development, Analysis and Numerical Tests of a Compositional Reservoir Simulator}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2008}, volume = {5}, number = {1}, pages = {86--100}, abstract = {The governing equations of a compositional model for three-phase multicomponent fluid flow in multi-dimensional petroleum reservoirs are cast in terms of a pressure equation and a set of component mass balance equations in this paper. The procedure is based on a pore volume constraint for component partial molar volumes, which is different from earlier techniques utilizing an equation of state for phase fluid volumes or saturations. The present technique simplifies the pressure equation, which is written in terms of various pressures such as phase, weighted fluid, global, and pseudo-global pressures. The different formulations resulting from these pressures are numerically solved-, the numerical computations use a scheme based on the mixed finite element method for the pressure equation and the finite volume method for the component mass balance equations. A qualitative analysis of these formulations is also carried out. The analysis yields that the differential system of these formulations is of mixed parabolic-hyperbolic type, typical for fluid flow equations in petroleum reservoirs. Numerical experiments based on the benchmark problem of the third comparative solution project organized by the society of petroleum engineers are presented. }, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/800.html} }
TY - JOUR T1 - Development, Analysis and Numerical Tests of a Compositional Reservoir Simulator AU - Z. Chen & Y. Zhang JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 86 EP - 100 PY - 2008 DA - 2008/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/800.html KW - compositional model KW - reservoir simulation KW - mixed finite elements KW - finite volume KW - thermodynamic equilibrium KW - numerical experiments AB - The governing equations of a compositional model for three-phase multicomponent fluid flow in multi-dimensional petroleum reservoirs are cast in terms of a pressure equation and a set of component mass balance equations in this paper. The procedure is based on a pore volume constraint for component partial molar volumes, which is different from earlier techniques utilizing an equation of state for phase fluid volumes or saturations. The present technique simplifies the pressure equation, which is written in terms of various pressures such as phase, weighted fluid, global, and pseudo-global pressures. The different formulations resulting from these pressures are numerically solved-, the numerical computations use a scheme based on the mixed finite element method for the pressure equation and the finite volume method for the component mass balance equations. A qualitative analysis of these formulations is also carried out. The analysis yields that the differential system of these formulations is of mixed parabolic-hyperbolic type, typical for fluid flow equations in petroleum reservoirs. Numerical experiments based on the benchmark problem of the third comparative solution project organized by the society of petroleum engineers are presented.
Z. Chen & Y. Zhang. (1970). Development, Analysis and Numerical Tests of a Compositional Reservoir Simulator. International Journal of Numerical Analysis and Modeling. 5 (1). 86-100. doi:
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