Казанский (Приволжский) федеральный университет, КФУ
КАЗАНСКИЙ
ФЕДЕРАЛЬНЫЙ УНИВЕРСИТЕТ
 
NUMERICAL SOLVING OF HIGHLY VISCOUS FLUIDS FILTRATION IN POROUS MEDIA FOR NONLINEAR FILTRATION LAWS WITH POWER GROWTH
Форма представленияСтатьи в зарубежных журналах и сборниках
Год публикации2018
Языкрусский
  • Калачева Наталья Вячеславовна, автор
  • Судаков Владислав Анатольевич, автор
  • Шангараева Алина Ильгизаровна, автор
  • Библиографическое описание на языке оригинала Badriev, I.B., Kalacheva, N.V., Shangaraeva, A.I., Sudakov, V.A. Numerical solving of highly viscous fluids filtration in porous media for nonlinear filtration laws with power growth // IOP Conference Series: Earth and Environmental Science. -2018. Vol.155. - Art.№012015
    Аннотация We study the steady-state filtration process of an incompressible high-viscosity fluid follows the nonlinear filtration law. The generalized statement of this problem is formulated in the form of an operator equation with a monotone operator in a Banach space. To solve this operator equation, we propose an iteration method that does not require the inversion of the original operator. Each step of the iterative process reduces to solving the boundary value problem for the Laplace equation. In the Matlab environment, a software complex was developed, with the help of which numerical calculations were performed for model filtration problems. The analysis of numerical results is carried out.
    Ключевые слова viscous fluids, filtration, porous media
    Название журнала IOP Conference Series: Earth and Environmental Science
    URL http://iopscience.iop.org/article/10.1088/1755-1315/155/1/012015/meta
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