Link for citation: Faruntsev S.D. Experience in application of mathematical modeling methods for elaboration of integrated control models of field treatment facilities. Bulletin of the Tomsk Polytechnic University. Geo Аssets Engineering, 2021, vol. 332, no. 12, рр. 7-21. In Rus.

The relevance of the study is caused by the significantly increased requirements for control systems for surface facilities of oil and gas fields. The control systems should ensure the safe conduct of processes while maintaining the specified quality of commercial oil in the presence of an intense background of disturbances, the ability of long-term autonomous functioning with minimal impact from operating personnel, minimization of the risks of negative impact of production factors on the environment, etc. A prerequisite for meeting the above requirements and a way to increase the level of intellectualization of control systems for oil and gas treatment facilities is the development of improved control systems using methods of mathematical modeling, automatic control theory and information technologies. The goal of the research is to develop an integrated mathematical model for building an intelligent control system for processes occurring in one of the main devices of an oil treatment plant – a three-phase separator. The object of the research is a three-phase separator, which includes sections for degassing, dehydration and unloading of oil emulsion. Methods: Katz's method for calculating the component composition of the gas and liquid phases of a separating oil emulsion, material and molar balances, methods for the numerical solution of nonlinear equation systems, configuration and training of artificial neural networks MATLAB (NFTool, NNTool), principles of cell modeling, block modeling using MATLAB Simulink software. Results. The author has developed a complex mathematical control model that describes the statics and dynamics of processes occurring in each section of a three-phase separator. To identify the real process of emulsion dehydration, the intensity function – the analogue of the laboratory sedimentation curve, was proposed. The structure of the separator cell model is parametrically related to the intensity function. To solve a general problem of dynamics in a single cycle, which includes several systems of nonlinear equations, local iterative procedures are excluded from the cycle. Blocks of artificial neural networks trained for iterative solution of local nonlinear systems are added. The model was configured using the MATLAB Simulink software. A solution is obtained, illustrated by graphs of static dependencies and transient characteristics of a three-phase separator in terms of its main input parameters. Conclusion. The obtained results of mathematical modeling of a three-phase separator, as well as the results of modeling an oil emulsion heater previously published by the author, allow us to consider the developed models as a basis for building an improved control system for oil treatment facilities in an intelligent oil and gas field.