![](/images/graphics-bg.png)
Multiscale Time-Splitting Strategy for Multiscale Multiphysics Processes of Two-Phase Flow in Fractured Media
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-03-17
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
The temporal discretization scheme is one important ingredient of efficient simulator for two-phase flow in the fractured porous media.
The application of single-scale temporal scheme is restricted by the rapid changes of the pressure and saturation in the fractured system with capillarity.
In this paper, we propose a multi-scale time splitting strategy to simulate multi-scale multi-physics processes of two-phase flow in fractured porous media.
We use the multi-scale time schemes for both the pressure and saturation equations; that is, a large time-step size is employed for the matrix domain, along with a small time-step size being applied in the fractures.
The total time interval is partitioned into four temporal levels: the first level is used for the pressure in the entire domain, the second level matching rapid changes of the pressure in the fractures, the third level treating the response gap between the pressure and the saturation, and the fourth level applied for the saturation in the fractures.
This method can reduce the computational cost arisen from the implicit solution of the pressure equation.
Numerical examples are provided to demonstrate the efficiency of the proposed method.
American Psychological Association (APA)
Kou, Jisheng& Sun, Shuyu& Yu, B.. 2011. Multiscale Time-Splitting Strategy for Multiscale Multiphysics Processes of Two-Phase Flow in Fractured Media. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-24.
https://search.emarefa.net/detail/BIM-504232
Modern Language Association (MLA)
Kou, Jisheng…[et al.]. Multiscale Time-Splitting Strategy for Multiscale Multiphysics Processes of Two-Phase Flow in Fractured Media. Journal of Applied Mathematics No. 2011 (2011), pp.1-24.
https://search.emarefa.net/detail/BIM-504232
American Medical Association (AMA)
Kou, Jisheng& Sun, Shuyu& Yu, B.. Multiscale Time-Splitting Strategy for Multiscale Multiphysics Processes of Two-Phase Flow in Fractured Media. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-24.
https://search.emarefa.net/detail/BIM-504232
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-504232