Simulation modeling of physical dispersion phenomenon observed in experimental data

Abstract

The article concerns a practical solution of the problem connected with modeling of the physical dispersion phenomenon. It is a continuation of the author's previous publications, in which calculations were made on both very simplified simulation models and the model of the real structure. In this article, an attempt was made to model the course of laboratory tests using a previously developed method of controlling the phenomenon of physical dispersion. Laboratory tests selected for modeling were carried out in the Department of Oil and Gas Reservoir Testing, which is located in the Krosno branch of the Oil and Gas Institute-National Research Institute. The said tests were carried out on the so-called long cores and concerned the displacement of oil with water. The method of modeling the course of these type of tests proposed in the article consisted in the use of a hybrid method of minimizing numerical dispersion and the extension of standard saturation equations by an additional element of physical dispersion. The article contains a brief description of the proposed method of controlling the size of the mixing zone of fluids and the results of application thereof. This article is a continuation of the author's previous work and it contains only the most important mathematical formulas. For comparison purposes, the article also presents the results of modeling selected laboratory tests using numerical dispersion. This modeling consisted in modification of the blocks grid size, which resulted in mixing zones of the displacement fluid with the displaced fluid of various sizes. The results of performed simulations presented in the article, in the form of drawings and diagrams, showed the effectiveness of the applied method of limiting numerical dispersion (both for calculations of mobility with multi-point weighing in the direction of inflow, as well as double discretization grid) as well as the effects of using different values of physical dispersion parameters. In the article the results of matching the built simulation models with the results obtained in the laboratory were also presented (in the form of the results of the overall recovery of fluids).