Application of an object-oriented approach in the problem of three-phase filtration
Keywords:
porous medium, oil and gas displacement, finite difference method, numerical modeling, computer analogs of real processesAbstract
In this article, within the framework of a mathematical model of three-phase filtration of incompressible and immiscible liquids and gas without taking into account the difference between phase pressures and gravitational forces, we study the questions of numerical modeling on a computer of a one-dimensional oil and gas displacement process using an object-oriented approach. The questions of identifying objects and their classes in the real problem of oil and gas displacement, determining the attributes and functions of real objects, creating computer analogues of real objects, analyzing the state, behavior and interaction of computer objects that simulate the real process are considered. The application of an object-oriented approach to three-phase filtration is carried out using the example of a problem in which it is assumed that a displacing phase with a known volumetric flow rate is injected into injection wells. To numerically solve a hyperbolic system of equations for saturation functions, explicit finite-difference schemes are used. An algorithm and software have been developed in the C++ programming language to implement an object-oriented approach, computer analogues of such objects of the real oil and gas displacement process as an injection well, a production well, and the oil and gas environment between wells have been built and used. The results of computational experiments on a computer for modeling the one-dimensional process of oil and gas dis placement in a system consisting of two injection and two production wells are presented and analyzed. The correspondence of the results of computational experiments to the physics of the process is analyzed based on the distribution of saturation functions of the displacing and displaced phases, the values of the current oil and gas recovery coefficients, and the degree of water cut in production wells.
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