Аналіз моделі фільтрації газу із використанням дробових похідних за часом: Fìz.-mat. model. ìnf. tehnol. 2017, 25:82-89

• Datum: 2018
• 1. Verfasser: Lopuh, Nazariy
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України 2018
• Schlagworte: дробові похідні; дискретизація; нестаціонарний процес; метод скінченних елементів; математична модель
• Online Zugang: https://www.fmmit.lviv.ua/index.php/fmmit/article/view/27
• Назва журналу: Physico-mathematical modeling and informational technologies

In work on the basis of a finite elements method it is offered numerical model of gas filtration in porous non-uniform environments with use of fractional derivatives in time. Kaputto and Rimman- Liouville's fractional derivatives are considered. The numerical analysis with use of experimental initial data is made. The received results can be used for a research of filtrational properties of the vicinity of the well, definition of its output depending on pressure distribution. References Vasilev, V. V., Simak, L. A. (2008). Drobnoe ischislenie i approksimacionnye metody v modelirovanii dinamicheskih sistem. Nauchnoe izdanie NAN Ukrainy. Kiev. Pianylo, Ya. D., Lopukh, N. B., Halii, P. P. (2011). Chyslova model plasta pidzemnoho skhovyshcha hazu na osnovi metodu skinchennykh elementiv. Naftova i hazova promyslovist, 1, 38-42. P′yanylo, Ya. D., Lopuh, N. B. (2012). Numerical Model of Mass Transfer in Porous Medium. TASK Quarterly Scientific Bulletin of the Academic Computer Centre in Gdansk, 16(4), 229-238. Lopuh, N. B, Pyanylo, Ya. D. (2014). Numerical analysis of models with fractional derivatives for gas filtration in porous media. Journal of Coupled Systems and Multiscale Dynamics, 2(1), 15-19. DOI https://doi.org/10.1166/jcsmd.2014.1035 Carmona, R., Ludkovski, M. (2005). “Gas storage and supply guarantees: an optimal switching approach,” submitted to Management Science. Cook, R. D. (2002). Concept and Applications of Finite Element Analysis, fourth edition. John Wiley & Sons.