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Microbiological Enhanced Oil Recovery : Model of Kinematic Waves and Asymptotic Analysis

Abstract : One of the strategic objectives of the modern oil industry is the efficient development of high-viscosity oil reserves, which are characterized by low mobility leading to a sharp decline in the oil recovery factor. The development of such reservoirs by traditional methods (natural drives, waterflooding etc.) is frequently not efficient. The alternative is an application of active recovery methods, in other words, enhanced oil recovery methods. In this thesis we analyze the problems of modelling the displacement of oil by water in presence of bacteria producing some active chemicals that change favorably the properties of oil and water. More strictly, we analyze the bacteria producing biosurfactant that reduces the negative effects of capillary oil trapping in porous media. Such a problem makes part of the general theory of multiphase multicomponent partially miscible flow with chemical reactions, coupled with the dynamics of population. The general mathematical model of the process is presented, which is reduced next to the model of kinematic waves, due to several admissible simplifications. More exactly, we have obtained the system of five nonlinear partial differential equations of the first order, which can have discontinuous solutions. Such a system can be studied only numerically in the general case. However, we have shown that for a particular case this model can be completely analyzed qualitatively. For such an analysis, we have introduced the concept of weak bioreactivity. It corresponds to the asymptotic behavior of the general model as the rate of bacterial kinetics tends to zero. Applying the technique of asymptotic expansions, we have obtained the semi-analytical solution to the displacement problem. In particular, this offered us the possibility to detect the discontinuities (chocks) of various types and to analyze exactly their structure. The general case of arbitrary kinetic rate was studied numerically, by using the code COMSOL MULTIPHYSICS. We analyzed the impact of the microbial growth rate, microbial and nutrient concentrations, the form of kinetic functions and the viscosity ratio on the oil recovery. In the last chapter, we simulated a field case for a Kazakhstani oil field. The main and unique tool of studying MEOR was the numerical analysis, whilst analytical solutions were missing. The semi-analytical solutions we have obtained fill this gap. They represent exact results that could be used to check the validity of various numerical schemes and codes.
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Submitted on : Friday, October 22, 2021 - 2:55:30 PM
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Akerke Mukhamediyarova. Microbiological Enhanced Oil Recovery : Model of Kinematic Waves and Asymptotic Analysis. Chemical engineering. Université de Lorraine, 2020. English. ⟨NNT : 2020LORR0301⟩. ⟨tel-03395898⟩

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