Numerical Fractional-Calculus Model for Two-Phase Flow in Fractured Media
Joint Authors
Li, Changpin
Zhong, Wenwen
Kou, Jisheng
Source
Advances in Mathematical Physics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-06
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Numerical simulation of two-phase flow in fractured porous media is an important topic in the subsurface flow, environmental problems, and petroleum reservoir engineering.
The conventional model does not work well in many cases since it lacks the memory property of fracture media.
In this paper, we develop a new numerical formulation with fractional time derivative for two-phase flow in fractured porous media.
In the proposed formulation, the different fractional time derivatives are applied to fracture and matrix regions since they have different memory properties.
We further develop a two-level time discrete method, which uses a large time step for the pressure and a small time step size for the saturation.
The pressure equation is solved implicitly in each large time step, while the saturation is updated by an explicit fractional time scheme in each time substep.
Finally, the numerical tests are carried out to demonstrate the effectiveness of the proposed numerical model.
American Psychological Association (APA)
Zhong, Wenwen& Li, Changpin& Kou, Jisheng. 2013. Numerical Fractional-Calculus Model for Two-Phase Flow in Fractured Media. Advances in Mathematical Physics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-471623
Modern Language Association (MLA)
Zhong, Wenwen…[et al.]. Numerical Fractional-Calculus Model for Two-Phase Flow in Fractured Media. Advances in Mathematical Physics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-471623
American Medical Association (AMA)
Zhong, Wenwen& Li, Changpin& Kou, Jisheng. Numerical Fractional-Calculus Model for Two-Phase Flow in Fractured Media. Advances in Mathematical Physics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-471623
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471623