ПОСТРОЕНИЕ МОДЕЛИ НИЗКОГО УРОВНЯ ДЛЯ ДВУХФАЗНОЙ ФИЛЬТРАЦИИ

Abstract

Background\nThe article proposes a method for constructing low-level models for two-phase filtration based on a combination of a finite-difference solution and a detailed spatial approximation, which makes it possible to use approximating models for solving problems of optimal control of operational parameters of an oil reservoir. The combined motion of two phases is considered: wetting and non-wetting liquids.\nAims and Objectives\nThe two-phase filtration process is non-stationary for incompressibility of liquids and pore space. The phase saturations change and the relative permeability coefficients of the phases change as the fluids move. Therefore, at constant intensities of sources of liquids, the pressure field in the reservoir will vary with time.\nTo construct an approximate solution based on lower-level models, the following approach is proposed. The considered area is divided into larger blocks, which allows to quickly carry out the calculation based on the finite-difference method. Spatial detailing is based on radial approximators associated with the calculated parameters of the integrated blocks.\nResults\nThe distribution is obtained by calculation by the finite difference method on a 256x256 grid. It is revealed that, compared with the initial period of the process, there was a significant flooding of the reservoir.\nThe results of the comparison are presented, from which it follows that the approximation of water saturation has detailed spatial detailing. The change in water saturation in the middle section of the region is shown.\nThe presented method for constructing low-level models for two-phase filtration, based on a combination of a finite-difference solution and a detailed approximation, revealed the feasibility and continuity of using approximating models to solve the problems of rational experimental control of oil reservoir parameters.