To read this content please select one of the options below:

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

H. Naderan (Sharif University of Technology, Tehran, Iran)
M.T. Manzari (Sharif University of Technology, Tehran, Iran)
S.K. Hannani (Sharif University of Technology, Tehran, Iran)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 18 September 2007

316

Abstract

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.

Keywords

Citation

Naderan, H., Manzari, M.T. and Hannani, S.K. (2007), "Application and performance comparison of high‐resolution central schemes for the black oil model", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 17 No. 7, pp. 736-753. https://doi.org/10.1108/09615530710777985

Publisher

:

Emerald Group Publishing Limited

Copyright © 2007, Emerald Group Publishing Limited

Related articles