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A MATHEMATICAL MODEL FOR THERMAL FLOODING WITH EQUAL ROCK AND FLUID TEMPERATURES

Volume 18, Issue 7, 2015, pp. 731-744
DOI: 10.1615/JPorMedia.v18.i7.70
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ABSTRACT

Accurate prediction of the temperature profile within a reservoir undergoing a thermal recovery process is a key factor in process design, production forecasting, and reservoir management. Such a profile is governed by the rock and fluid properties and heat transfer between them. As a result, the temperature distribution is highly dependent on the thermal and rheological properties of the rock and fluids. The present research investigates the role of temperature-dependent rock and fluid properties in the development of the temperature profile during thermal flooding of an oil reservoir. The concept of "memory" is included to analyze the evolution of rock/fluid properties as continuous time functions. A mathematical model is developed in terms of a group of heat transfer dimensionless numbers that correlate the varying rock and fluid properties. The model equation was solved numerically through MATLAB programming language to produce temperature profiles for a typical thermal flood where the rock attains the fluid temperature instantaneously. The temperature distribution was found to concave down smoothly within the heated region. The proposed heat transfer dimensionless numbers, which characterize the process and encompass many of its variables, provide relationships between the rock and fluid properties within the porous medium. They have significant roles in the temperature profile as related to continuous alteration phenomena in addition to system fluid velocity, time, and other rheological parameters of rock and fluid. The mathematical model and its numerical solution are useful for better prediction of reservoir performance.

CITED BY
  1. Obembe Abiola David, Abu-Khamsin Sidqi A., Hossain M. Enamul, A Review of Modeling Thermal Displacement Processes in Porous Media, Arabian Journal for Science and Engineering, 41, 12, 2016. Crossref

  2. Hassan Amjed M., Hossain M. Enamul, Coupling Memory-Based Diffusivity Model with Energy Balance Equation to Estimate Temperature Distributions During Thermal EOR Process, All Days, 2016. Crossref

  3. Hossain M. Enamul, Role of Porosity on Energy Transport with Equal Rock-Fluid Temperatures During Thermal EOR Process, Arabian Journal for Science and Engineering, 42, 4, 2017. Crossref

  4. Obembe Abiola D., Hossain M. Enamul, Mustapha Kassem, Abu-Khamsin Sidqi A., A modified memory-based mathematical model describing fluid flow in porous media, Computers & Mathematics with Applications, 73, 6, 2017. Crossref

  5. Obembe Abiola D., Al-Yousef Hasan Y., Hossain M. Enamul, Abu-Khamsin Sidqi A., Fractional derivatives and their applications in reservoir engineering problems: A review, Journal of Petroleum Science and Engineering, 157, 2017. Crossref

  6. Miah Mohammad Islam, Elhaj Murtada A., Ahmed Salim, Hossain M. Enamul, Modeling of temperature distribution and oil displacement during thermal recovery in porous media: A critical review, Fuel, 226, 2018. Crossref

  7. Hashan Mahamudul , Zaman Tareq Uz, Jahan Labiba Nusrat, Elhaj Murtada , Imtiaz Syed , Hossain M. Enamul, Application of Memory Formalism and Fractional Derivative in Reservoir Simulation, Day 2 Tue, June 26, 2018, 2018. Crossref

  8. Enamul Hossain M., Dimensionless Scaling Parameters During Thermal Flooding Process in Porous Media, Journal of Energy Resources Technology, 140, 7, 2018. Crossref

  9. Hashan Mahamudul, Jahan Labiba Nusrat, Tareq-Uz-Zaman , Imtiaz Syed, Hossain M. Enamul, Modelling of fluid flow through porous media using memory approach: A review, Mathematics and Computers in Simulation, 177, 2020. Crossref

  10. References and Bibliography, in Advanced Petroleum Reservoir Simulation, 2016. Crossref

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