Известия Томского политехнического университета: Инжиниринг георесурсов (Oct 2022)
DETERMINATION OF A GLOBAL WATER DROP RESONANT FREQUENCIES IN OIL MEDIUM
Abstract
The relevance. Increasing the efficiency and profitability of commercial oil preparation is one of the priority tasks of the oil and gas sector of the domestic economy, but the scientific achievements in this area require further development. The issues of lack of data for the development of reliable mathematical models of oil emulsion destruction, as well as input signals for regulating the control processes of oil preparation apparatuses, have not been resolved. The oil produced in the fields is a water-oil emulsion with a unique dispersion composition for each well. Today, the analysis of the disperse composition in the field is carried out using a classic laboratory method that has a low speed of obtaining analysis results, while the distribution of droplets by size carries information about the properties of the emulsion in such aspects as degradation rate, long-term stability, viscosity, and others. Knowing the droplets size distribution of a particular oil emulsion, it is possible to choose the most rational methods for its destruction, as well as the necessary technical settings for the devices used in these methods. In particular, when a drop is exposed to a frequency close to its own, destruction can be intensified or an emulsion can be synthesized. In this regard, the derivation of an analytical expression for the resonant frequency of an emulsion drop and the equations of free vibrations are relevant and necessary. The main aim consists in determining the resonant frequencies of a spherical water drop in an oily medium and assessing the effect of the damping properties of the medium on oscillations of the drop surface. Results. The authors obtained the analytical expression for a water drop resonant frequency, as well as an equation of a drop free oscillations presented as a non-conservative system.
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