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Homogenized Model of Two-Phase Flow with Local Nonequilibrium in Double Porosity Media
Joint Authors
Amaziane, Brahim
Panfilov, Mikhail
Pankratov, Leonid
Source
Advances in Mathematical Physics
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-29
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We consider two-phase flow in a heterogeneous porous medium with highly permeable fractures and low permeable periodic blocks.
The flow in the blocks is assumed to be in local capillary disequilibrium and described by Barenblatt’s relaxation relationships for the relative permeability and capillary pressure.
It is shown that the homogenization of such equations leads to a new macroscopic model that includes two kinds of long-memory effects: the mass transfer between the blocks and fractures and the memory caused by the microscopic Barenblatt disequilibrium.
We have obtained a general relationship for the double nonequilibrium capillary pressure which represents great interest for applications.
Due to the nonlinear coupling and the nonlocality in time, the macroscopic model remains incompletely homogenized in general case.
The completely homogenized model was obtained for two different regimes.
The first case corresponds to a linearized flow in the blocks.
In the second case, we assume a low contrast in the block-fracture permeability.
Numerical results for the two-dimensional problem are presented for two test cases to demonstrate the effectiveness of the methodology.
American Psychological Association (APA)
Amaziane, Brahim& Panfilov, Mikhail& Pankratov, Leonid. 2016. Homogenized Model of Two-Phase Flow with Local Nonequilibrium in Double Porosity Media. Advances in Mathematical Physics،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1095799
Modern Language Association (MLA)
Amaziane, Brahim…[et al.]. Homogenized Model of Two-Phase Flow with Local Nonequilibrium in Double Porosity Media. Advances in Mathematical Physics No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1095799
American Medical Association (AMA)
Amaziane, Brahim& Panfilov, Mikhail& Pankratov, Leonid. Homogenized Model of Two-Phase Flow with Local Nonequilibrium in Double Porosity Media. Advances in Mathematical Physics. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1095799
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1095799