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The paper considers the homogenized model of the layered creep media. It is shown that the homogenized model is sufficiently accurate. The difference is less than 5% as compared with the results obtained with the use of direct computations when non-homogenized model is utilized. This tolerance holds for rather long observation time. The medium sample can be deformed by 10-15% of its size by the end of the considered time period. It is shown that 10 layers of the medium are sufficient for obtaining the described accuracy of the homogenized model. Therefore, application of the homogenized model allows to decrease the number of computation elements by 4 orders.