Mathematical modeling of a multiphase flow in a single-pore reservoir

The flowing process of multiphase flows in single-pore reservoirs is considered. The multiphase flow in the well is formed by mixing oil, formation water and petroleum gas. A mathematical model is presented that describes the process of mass transfer of a two-phase fluid in a single-pore reservoir during a hydrodynamic study on a well. Based on the model, a difference scheme is constructed. The scalar sweep method is used as a method for solving a system of linear algebraic equations. The analysis of the influence of various characteristics of productive formations, reflecting their influence on the pressure dynamics, was carried out. The optimal time for conducting a hydrodynamic study on a production well was calculated. Modeling was carried out in the developed compact software.