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It is necessary to determine the adequate values of the model parameters for mathematical modeling of processes in reservoirs of oil and gas fields. Such opportunity is provided by tests on a true triaxial loading facility, which allows to recreate on samples of the studied rocks under laboratory conditions real stress-strain states occur in the formation in the course of technical-technological operations on wells. The work is devoted to the determination of the parameters of mathematical models and their features for the rocks of highly permeable reservoirs of gas and gas condensate fields on the Triaxial Independent Loading Test System of the IPMech RAS.