Comparison of GMRES and ORTHOMIN for the black oil model on unstructured grids

✍ Scribed by Wenjun Li; Zhangxin Chen; Guanren Huan; Xiuzhen Sun

• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 476 KB
• Volume: 52
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/fld.1209

✦ Synopsis

Abstract

This paper addresses an application of ORTHOMIN and GMRES to petroleum reservoir simulation using the black oil model on unstructured grids. Comparisons between these two algorithms are presented in terms of storage and total flops per restart step. Numerical results indicate that GMRES is faster than ORTHOMIN for all tested petroleum reservoir problems, particularly for large scale problems. The control volume function approximation method is utilized in the discretization of the governing equations of the black oil model. This method can accurately approximate both the pressure and velocity in the simulation of multiphase flow in porous media, effectively reduce grid orientation effects, and be easily applied to arbitrarily shaped control volumes. It is particularly suitable for hybrid grid reservoir simulation. Copyright © 2006 John Wiley & Sons, Ltd.