On the question of the regularities in the transformation of the parameters of the relative phase permeability with a change in the dimension of the oil reservoir model

Abstract

The article presents the results of research on the search for patterns in the transformation of the parameters of the relative phase permeability function when the dimension of the mathematical model changes using the example of two synthetic models (a single-layer lateral 2D model and a 0D model of the CRM material balance) of an oil deposit located in an inhomogeneous reservoir and developed during flooding. It is established that the transformation of the parameters of the relative phase permeability is associated with the filtration properties and elastic capacity of the formation, as well as with the specifics of well operation. At the same time, for three of the five parameters, the dependence on permeability remains, but in a different form, and for the remaining two parameters, the dependence is lost. The quality of the approximation of dependencies practically does not depend on the volume of the data samples considered. The results obtained are aimed at improving the technology of modeling the development of hydro­carbon deposits, especially in terms of hierarchical modeling.