Abstract
The problem of energy supply has been one of the most pressing issues for the humanity at all times. Oil is one of the most desired sources of energy. However, oil reserves are being depleted, and substantial amounts of subterranean residual oil cannot be extracted with the use of traditional methods, therefore requiring implementation of new technologies. The current paper suggests two mathematical models aimed to describe and predict implications of microbiological method of oil recovery improvement based on the currently available data, as well as to assess the efficiency of this method. The first model consists of partial differential equations that describe the process of expansion of microbial population through oil formation. The second model includes ordinary differential equations, describing growth and metabolism of bacterial cultures within the bottom-hole zone of the production well. The models were studied with the use of numerical grid and Euler methods. The modeling parameters were evaluated using the least squares method. The current paper includes the results of calculations performed on basis of the proposed models. Distribution profiles of the bacterial population and the metabolic products along the reservoir were obtained and studied; provided recommendations for practical implementation of the microbiological method.
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