ИССЛЕДОВАНИЕ И ЧИСЛЕННОЕ РЕШЕНИЕ МОДЕЛИ ГАЗЛИФТНОГО ПРОЦЕССА

Система дифференциальных уравнений в частных производных для математического моделирования газлифтной скважины

Abstract

A model of a gas-lift process is considered, where the motion in a gas-lift well is described by partial differential equations of hyperbolic type. The system describing the process under study consists of the equations of motion, continuity, equations of the thermodynamic state, and hydraulic resistance. A two-layer Lax-Wendroff difference scheme for the numerical solution of the problem is constructed. The stability of difference schemes for the model problem is studied by the method of a priori estimates, and an algorithm for the numerical implementation of the gas-lift process model is presented.