Release:
2025. Vol. 11. № 1 (41)About the authors:
Konstantin M. Fedorov, Dr. Sci. (Phys.-Math.), Professor, Professor of the Department of Modeling of Physical Processes and Systems, School of Natural Sciences, University of Tyumen, Tyumen, Russia; k.m.fedorov@utmn.ru, https://orcid.org/0000-0003-0347-3930Abstract:
At the moment, the problems of mathematical statistics related to the planning of experiments and obtaining correlation dependencies are well developed. However, it is especially important to plan experiments in conditions of a limited set of researched samples with a discrete deterministic set of characteristics from several influencing parameters. Therefore, the aim of this work is to plan petrophysical experiments to obtain correlation dependences of the oil displacement coefficient on the polymer concentration, temperature, and permeability of the core sample for subsequent modeling of thermopolymer flooding. The authors propose a unique method for the use of a single core sample in several consecutive experiments related to such technology. Within this approach, a new method has been developed to determine the minimum number of measurements and a reasonable choice of values of the measured parameters to fully cover a given range with a given accuracy. This method is based on the use of central composite rotatable design (CCRD) of experiment of the second order, considering the features of petrophysical filtration experiments. The minimum required sample of rock samples and the values of the influencing parameters were obtained and the procedure for conducting research to obtain an interpolation dependence was justified. Planning the experiment and using mathematical statistics, the authors managed to reduce the number of experiments by 8 times and the amount of core material used by 3 times to obtain the required correlation.Keywords:
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