KFU. Card publication. Numerical solving of highly viscous fluids filtration in porous media for nonlinear filtration laws with power growth

KAZAN
FEDERAL UNIVERSITY

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NUMERICAL SOLVING OF HIGHLY VISCOUS FLUIDS FILTRATION IN POROUS MEDIA FOR NONLINEAR FILTRATION LAWS WITH POWER GROWTH

Form of presentation

Articles in international journals and collections

Year of publication

2018

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Authors, employees of KFU

Kalacheva Natalya Vyacheslavovna, author

Sudakov Vladislav Anatolevich, author

Shangaraeva Alina Ilgizarovna, author

Bibliographic description in the original language

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

Annotation

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.

Keywords

viscous fluids, filtration, porous media

The name of the journal

IOP Conference Series: Earth and Environmental Science

URL

http://iopscience.iop.org/article/10.1088/1755-1315/155/1/012015/meta

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=193186&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Kalacheva Natalya Vyacheslavovna	ru_RU
dc.contributor.author	Sudakov Vladislav Anatolevich	ru_RU
dc.contributor.author	Shangaraeva Alina Ilgizarovna	ru_RU
dc.date.accessioned	2018-01-01T00:00:00Z	ru_RU
dc.date.available	2018-01-01T00:00:00Z	ru_RU
dc.date.issued	2018	ru_RU
dc.identifier.citation	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	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=193186&p_lang=2	ru_RU
dc.description.abstract	IOP Conference Series: Earth and Environmental Science	ru_RU
dc.description.abstract	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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	viscous fluids	ru_RU
dc.subject	filtration	ru_RU
dc.subject	porous media	ru_RU
dc.title	Numerical solving of highly viscous fluids filtration in porous media for nonlinear filtration laws with power growth	ru_RU
dc.type	Articles in international journals and collections	ru_RU