MATHEMATICAL SIMULATION OF UNSTEADY-STATE GAS–LIQUID MIXTURE FLOW IN A BED–WELL SYSTEM

Based on theoretical investigations, the infl uence of various forms of pressure variation at the wellhead with a nonstationary fl ow of a two-phase fl uid in a bed–well system on the character of change in the bottom-hole pressure has been investigated, which makes it possible to determine this pressure from the wellhead operation parameters. The trapezoidal form of the change in pressure is considered as an example. The coupled equations of fi ltration and the equations describing nonstationary motion of a gas–liquid mixture in a pipeline have been solved jointly. Analytical formulas have been obtained allowing one to determine the bottom-hole pressure from the technological parameters at the wellhead with account for the dynamic connection of the bed–well system at different forms of change in the wellhead pressure. The infl uence of the wellhead pressure pulsation frequencies on the bottom-hole pressure dynamics has been established.
Based on theoretical investigations, the infl uence of various forms of pressure variation at the wellhead with a nonstationary fl ow of a two-phase fl uid in a bed–well system on the character of change in the bottom-hole pressure has been investigated, which makes it possible to determine this pressure from the wellhead operation parameters. The trapezoidal form of the change in pressure is considered as an example. The coupled equations of fi ltration and the equations describing nonstationary motion of a gas–liquid mixture in a pipeline have been solved jointly. Analytical formulas have been obtained allowing one to determine the bottom-hole pressure from the technological parameters at the wellhead with account for the dynamic connection of the bed–well system at different forms of change in the wellhead pressure. The infl uence of the wellhead pressure pulsation frequencies on the bottom-hole pressure dynamics has been established.
Author:  É. M. Abbasov and S. A. Imamaliev
Keywords:  pulsation, gas–liquid mixture, multiphase medium, Laplace transform, mathematical model, equation of motion of a two-phase medium, averaging
Page:  1111