i-manager Publications

Mathematical Modelling of EOR Methods

Tirumala Rao Kotini*, Aman Singh**

*-** Energy Cluster, School of Engineering, UPES, Bidholi, Dehradun, Uttarakhand, India.

Periodicity:July - December'2022
DOI : https://doi.org/10.26634/jmat.11.2.19034

Abstract

The choice of appropriate and affordable procedures to boost oil recovery is usually recognized as one of the main challenges in reservoir development due to the huge demand for crude oil. Reservoir flow simulators are valuable tools for understanding and forecasting fluid flow in complex systems. The goal of this study is to run a mathematical model to evaluate the performance of various oil recovery methods, as well as to validate the model's accuracy with simulated field data. Thereby, the results of this developed model indicate that the model is approximately matched with the simulated field data. Enhanced oil recovery typically refers to chemical, miscible, thermal, and microbial processes. A system of nonlinear partial differential equations composed of Darcy's and mass conservation equations governs the model. The system is then numerically solved using the IMPEC (Implicit Pressure and Explicit Concentration) scheme by a finite difference method. We chose this approach because the experimental approaches are not only time consuming, but also costly. As a result, mathematical models could aid in the understanding of a reservoir and how such processes can be optimized to maximize oil recovery while lowering production costs. This paper provides a brief overview of mathematical modelling of various enhanced oil recovery methods, focusing on developing a generalized framework and describing some of the key challenges and opportunities.

Keywords

Enhanced Oil Recovery, Reservoir Simulation, Chemical Flooding, Miscible Flooding, Thermal Flooding.

How to Cite this Article?

Kotni, T. R., and Singh, A. (2022). Mathematical Modelling of EOR Methods. i-manager’s Journal on Mathematics, 11(2), 26-34. https://doi.org/10.26634/jmat.11.2.19034

References

[1]. Abramowitz, M., & Stegun, I. A. (1972). Handbook of Mathematical Functions. Dover Publishing, New York.

[2]. Babalyan, G. A., Levy, B. I., Tumasyan, A. B., & Khalimov, E. M. (1983). Oilfield Development using Surfactants. Nedra, Moscow.

[3]. Lake, L. W. (1989). Enhanced Oil Recovery. Prentice-Hall, Inc.

[4]. Sorbie, K. S. (1991). Introduction to polymer flooding. In Polymer-Improved Oil Recovery (pp. 1-5). Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3044-8_1

[5]. Latil, M. (1980). Enhanced Oil Recovery. Éditions Technip.

[6]. Armstrong, R. T., & Wildenschild, D. (2012). Investigating the pore-scale mechanisms of microbial enhanced oil recovery. Journal of Petroleum Science and Engineering, 94, 155-164. https://doi.org/10.1016/j.petrol.2012.06.031

[7]. Akhmed-Zaki, D., Danaev, N., Mukhambetzhanov, S., & Imankulov, T. (2012, September). Analysis and evaluation of heat and mass transfer processes in porous media based on Darcy-Stefan's model. In ECMOR XIII-13th European Conference on the Mathematics of Oil Recovery (pp. cp-307). European Association of Geoscientists & Engineers. https://doi.org/10.3997/2214-4609.20143274

[8]. Flory, P. J. (1953). Principles of Polymer Chemistry. Cornell university press.

[9]. Wegner, J., & Ganzer, L. (2012, October). Numerical simulation of oil recovery by polymer injection using COMSOL. In Excerpt from the Proceedings of the 2012 COMSOL Conference Milan.

[10]. Alexander, J. D., Martin, W. L., & Dew, J. N. (1962). Factors affecting fuel availability and composition during in situ combustion. Journal of Petroleum Technology, 14(10), 1154-1164. https://doi.org/10.2118/296-PA

[11]. Collins, R. E. (1961). Flow of Fluids through Porous Materials. Reinhold Publishing, New York.

[12]. Glasstone, S. (1946). Textbook of Physical Chemistry. D.Van Nostrand Company, New York.

[13]. Mcadams, W. H. (1954). Heat Transmission, McGraw-Hill, New York.

[14]. Treybal, R. E. (1955). Mass Transfer Operations. McGraw-Hill, New York.

[15]. Reddy, D. S., & Kumar, G. S. (2014a). A numerical investigation on the role of oil saturations on performance of in-situ combustion in porous media. International Journal of Scientific & Engineering Research, 5(5), 531-538

[16]. Reddy, D. S., & Kumar, G. S. (2014b). A comprehensive analysis on thermal and kinetic aspects of in situ combustion: Numerical approach. In Applied Mechanics and Materials, 592, 1393-1397. Trans Tech Publications Ltd. https://doi.org/10.4028/www.scientific.net/AMM.592-594.1393

[17]. Reddy, D. S., & Kumar, G. S. (2015a). Numerical simulation of heavy crude oil combustion in porous combustion tube. Combustion Science and Technology, 187(12), 1905-1921. https://doi.org/10.1080/00102202.2015.1065822

[18]. Reddy, D. S, & Kumar, G. S. (2015b). A numerical study on phase behavior effects in enhanced oil recovery by in situ combustion. Petroleum Science and Technology, 33(3), 353-362. https://doi.org/10.1080/10916466.2014.979999

[19]. Kudapa, V. K., Sharma, P., Kunal, V., & Gupta, D. K. (2017). Modeling and simulation of gas flow behavior in shale reservoirs. Journal of Petroleum Exploration and Production Technology, 7(4), 1095-1112. https://doi.org/10.1007/s13202-017-0324-4

[20]. Kudapa, V. K., Gupta, D. K., & Sharma, P. (2018). Modeling of gas flow within the shale fracture network. In Advances in Fire and Process Safety (pp. 21-43). Springer, Singapore. https://doi.org/10.1007/978-981-10-7281-9_3

[21]. Kumar, G. S., & Reddy, D. S. (2017). Numerical modelling of forward in-situ combustion process in heavy oil reservoirs. International Journal of Oil, Gas and Coal Technology, 16(1), 43-58. https://doi.org/10.1504/IJOGCT.2017.085981

[22]. Prince, M. J. A., Avula, V. R., & Kudapa, V. K. (2022). Investigation of anionic in place of cationic surfactants onto oil wet carbonate surfaces for improving recovery. Materials Today: Proceedings, 52, 825-828 https://doi.org/10.1016/j.matpr.2021.10.213

[23]. Sharma, P., & Kudapa, V. K. (2022). Assessment of hydrocarbon generation potential of coal seams from Raniganj basin, India. Materials Today: Proceedings, 52, 842-846. https://doi.org/10.1016/j.matpr.2021.10.226

[24]. Kudapa, V. K., Iqbal, M. I., Memon, S., Azharuddin, S., & Rajawy, I. A. (2022). Production enhancement using prosper software with reference to well test matching and modeling for good financial management. Materials Proceedings, 10(1), 7. https://doi.org/10.3390/materproc2022010007

[25]. Pavan, T. N. V., Devarapu, S. R., & Govindarajan, S. K. (2022). Comparative analysis on impact of water saturation on the performance of in-situ combustion. Rudarsko-Geološko-Naftni Zbornik, 37(4), 167-175. https://doi.org/10.17794/rgn.2022.4.14

If you have access to this article please login to view the article or kindly login to purchase the article

Single Article

	North Americas,UK, Middle East,Europe		India	Rest of world
	USD	EUR	INR	USD-ROW
Online	15	15

ADD TO CART

Options for accessing this content:

If you would like institutional access to this content, please recommend the title to your librarian.
If you already have i-manager's user account: Login above and proceed to purchase the article.
New Users: Please register, then proceed to purchase the article.