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Multiparameter mathematical models of the filtration problem of unstructured and structured fluids

Shukur QayumovTashkent State Technical University, Tashkent, UzbekistanАрслан МардановTashkent State Technical University, Tashkent, UzbekistanAnvar QayumovInha University in Tashkent city, Tashkent, UzbekistanTojiboy XaitovTashkent State Technical University, Tashkent, Uzbekistan
E3S Web of Conferencesjournal2021en
ABI

Аннотация

The article is devoted to constructing a generalized mathematical model and the method of their solution of the process of filtration of fluids with various linear and nonlinear characteristics. The multiparameter model contains 13 mathematical models developed in due time by scientific research and included new mathematical models. The classification of these models is carried out in accordance with the laws of filtration, and they are confirmed by the results of numerical solutions. For unknown boundaries of disturbances, the application of the "shuttle" iteration method made it possible to reduce the number of iterations.

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