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Application and performance comparison of high-resolution central schemes for the black oil model

Naderan, H ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. DOI: 10.1108/09615530710777985
  3. Publisher: 2007
  4. Abstract:
  5. Purpose - The purpose of this paper is to investigate the performance of a specific class of high-resolution central schemes in conjunction with the black oil models for hydrocarbon reservoir simulation. Design/methodology/approach - A generalized black oil model is adopted, in which the solubility of gas in both oil and water and evaporation of oil are considered, leading to a system of equations prone to degeneracy. A computer code is generated and three test cases are solved to evaluate the performance of various schemes in terms of accuracy and discontinuity handling. Findings - It is shown that, although some of the central schemes are highly sensitive to the choice of Courant-Friedrich-Levy (CFL) number and produce overly diffusive results, a certain type of this class is insensitive to the CFL number and can conveniently handle degenerate equations appearing in the reservoir simulation. The obtained results are compared with those available in the literature, showing merits of this class of schemes in complex reservoir simulation models. Research limitations/ implications - This paper gives the one-dimensional implementation of the above-mentioned schemes. Extension to higher dimensional black oil model is currently under development by the authors. Practical implications - The specific class of high-resolution central schemes investigated here presents the same level of accuracy as more complicated numerical methods, yet keeping it much more simple, by avoiding Riemann solvers. Originality/value - The high-resolution central scheme used in this work has been newly developed and applied to simple scalar hyperbolic equations. It has been adopted for the black oil for the first time. © Emerald Group Publishing Limited
  6. Keywords:
  7. Diffusion ; Evaporation ; Gases ; Mathematical models ; Solubility ; Computer code ; High resolution central schemes ; Oils and fats ; Fluid dynamics ; Sensitivity analysis
  8. Source: International Journal of Numerical Methods for Heat and Fluid Flow ; Volume 17, Issue 7 , 2007 , Pages 736-753 ; 09615539 (ISSN)
  9. URL: https://www.emerald.com/insight/content/doi/10.1108/09615530710777985/full/html