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ISSN Print: 1091-028X
ISSN Online: 1934-0508

# Journal of Porous Media

DOI: 10.1615/JPorMedia.v17.i5.40
pages 421-429

## A NEW RIGOROUS MATHEMATICAL MODEL TO DESCRIBE IMMISCIBLE CO2-OIL FLOW IN POROUS MEDIA

King Fahd University of Petroleum and Minerals, Dhahran 31261, Box: 2020, Saudi Arabia
Sidqi A. Abu-Khamsin
Department of Petroleum Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Kingdom of Saudi Arabia
M. Enamul Hossain
Department of Petroleum Engineering, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia; Memorial University of Newfoundland, St. John's, Newfoundland and Labrador, Canada; Department of Petroleum and Energy Engineering, The American University in Cairo, Cairo, Egypt

### ABSTRACT

The immiscible carbon dioxide flooding process has received considerable interest in the literature. Numerous laboratory experiments were conducted to determine the improved oil recovery through this process. However, little attention has been paid to modeling the process appropriately and mimicking actual physical phenomena of CO2-oil immiscible flow in porous media. Development of accurate models for immiscible CO2-oil flow will enhance the understanding of the process, assist in the design and interpretation of sophisticated laboratory experiments, and provide better guidelines for field implementation. Therefore, a new mathematical model is developed to represent immiscible CO2-oil flow in porous media within a secondary recovery mechanism. During the development of the model equation, a one-dimensional, two-phase immiscible fluid flow is considered. The model equation is then discretized using the IMPES concept and solved numerically utilizing MATLAB programming. The performance of the model equation was confirmed by analyzing the behaviors of relative permeability, fractional flow, and pressure curves. It is also established that longer exposure time of CO2 enhances oil recovery. The numerical results demonstrate that the new mathematical model is capable of predicting oil displacement and sweeping efficiency more realistically.

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