MMN-1701
Algorithm defining the hydraulic resistance coefficient by lines method in gas-lift process
N.S. Hajiyeva; N.A. Safarova; N.A. Ismailov;Abstract
A mathematical model of the process of gas-lift in the oil production is considered. In this process the motions of gas and gas-liquid mixture (GLM) in annular space and in the lift are described by the system of partial differential equations of hyperbolic type. Applying the straight line method the initial problem is reduced to the system of ordinary differential equations relatively to the volume of gas, gas-liquid mixture and their
pressures. To determine the coefficient of hydraulic resistance $\lambda _{c}$ statistical data for the fixed well is used (volume of injected gas at the wellhead of the annular space and GLM at the end of lift) and on the basis of these results, constituting the corresponding functional, the functional gradient is derived that
allows one to calculate $\lambda_c$. On the concrete example the statistical value of the coefficient of hydraulic resistance $\lambda_{\tilde{c}}$ and the new value of the coefficient of hydraulic resistance $\lambda _{c}$ are compared, it is shown that $\lambda _{c}$ differs from the real $\lambda _{\tilde{c}}$ on the
order of $10^{-3}$.
Vol. 18 (2017), No. 2, pp. 771-777