| Article ID: | iaor1990987 |
| Country: | United Kingdom |
| Volume: | 15 |
| Issue: | 4 |
| Start Page Number: | 295 |
| End Page Number: | 310 |
| Publication Date: | Jun 1990 |
| Journal: | Engineering Optimization |
| Authors: | Balla Katalin, Mayer J., Doleschall S. |
| Keywords: | energy, petroleum, programming: geometric, programming: mathematical |
The main purpose of this paper is to present a new mathematical programming formulation of the multiphase equilibrium problem along with a Newton-type algorithm for its solution. The approach pursued relies on the Gibbs free energy function and geometric programming duality. The problem arose in connection with a real-life problem in oil reservoir engineering. The presentation of the model is based on a detailed mathematical analysis of the multiphase equilibrium problem. The computational results reported are obtained using data systems from oil reservoir engineering.