ОЦЕНКА СРЕДНЕСТАТИСТИЧЕСКИХ ХАРАКТЕРИСТИК КЕРНОВОГО МАТЕРИАЛА С ПОЗИЦИИ МОДЕЛЕЙ СЛУЧАЙНЫХ ПОЛЕЙ

Abstract

Background The spatial heterogeneity of productive porous media of oil and gas fields is described by the parameters of the theory of random fields, among which the most frequently used are the space-correlation characteristics, spatial two-dimensional spectral characteristics and a number of quantitative indicators, for example, determining the periodicity and chaotic structure of porous media. In statistics, the autocorrelation of a random process describes the correlation between process values at different instants of time. Autocorrelation function is a statistical relationship between random values from one series, but taken with a shift, for example, for a random process - with a time shift or pore location on the core surface. The autocorrelation function of the profile of the selected row makes it possible to detect explicit and hidden periodicity of the change in the investigated parameter, for example, the brightness of the surface profile, and also the regularity coefficient. Aims and Objectives Based on the models of random fields, the development of the technique of digital microscopy for the study of the porosity of rock samples and the estimation of the average statistical characteristics of the core material. Rezults As a result of the analysis, from the point of view of the used mathematical approximations, the existing methods for determining the inhomogeneities of porous media it is shown that different variations of the phenomenological level are mainly used to describe the petrophysical parameters of porous media. As a result of the study of productive rocks from the position of statistical physics, a technique is proposed for estimating the average statistical characteristics of a core material on the basis of the theory of random fields, taking into account the characteristics of the structure of the productive rock of oil and gas fields.