Solution of problems of oil reservoirs flooded with water using polymer-dispersed systems on a multiprocessor computer system

Abstract

The paper provides the results of the numerical simulation of the impact of polymer-dispersed systems on oil reservoirs in order to increase the flow resistance of flooded areas and to involve nonmoving or slow-moving oil reserves in active development. The mathematical model of this process was built based on the known laws of the conservation of mass and momentum. The capillary model of the porous medium was used to construct closure relations that allowed us to describe the formation of polymer-dispersed components and their influence on a porous medium. The complexity of solving the problem of the impact of polymer-dispersed systems on the process of oil displacement by water from a porous medium is related to the three-dimensionality and nonstationarity processes of filtration, as well as the need to calculate the fields of polymer concentration, pressure and saturation fields, and the structural changes in porosity and permeability at each time step and at each point in space. All these factors require significant computer time and resources. The paper presents the algorithm of parallel calculations using a multiprocessor computer system with the MPI library. Calculations on a real field demonstrated the efficiency of the algorithm.