Similar Construction Method of Solution for Solving the Mathematical Model of Fractal Reservoir with Spherical Flow
Joint Authors
Li, Shun-Chu
Zhao, Jin-Zhou
Jia, Hu
Sheng, Cui-Cui
Li, Yong-Ming
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-27
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
On the basis of similar structure of solution for a second-order linear differential equation's boundary value problem, and our analysis of the relationship between this similar structure and its kernel function, the differential equation, and the boundary conditions, we propose a new simple solution—similar constructive method of solution (SCMS)—and sum up its detailed steps.
We set up a porous media model under three kinds of outer boundary conditions (infinite, constant pressure, and closed), in which the influences of fractal dimension, spherical flow, skin effect, and storage are taken into consideration.
And then we use SCMS to solve it.
The SCMS is a straightforward method for differential equation's boundary value problems with complex boundary conditions, especially for solving the reservoir models in petroleum engineering.
American Psychological Association (APA)
Sheng, Cui-Cui& Zhao, Jin-Zhou& Li, Yong-Ming& Li, Shun-Chu& Jia, Hu. 2013. Similar Construction Method of Solution for Solving the Mathematical Model of Fractal Reservoir with Spherical Flow. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-455568
Modern Language Association (MLA)
Sheng, Cui-Cui…[et al.]. Similar Construction Method of Solution for Solving the Mathematical Model of Fractal Reservoir with Spherical Flow. Journal of Applied Mathematics No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-455568
American Medical Association (AMA)
Sheng, Cui-Cui& Zhao, Jin-Zhou& Li, Yong-Ming& Li, Shun-Chu& Jia, Hu. Similar Construction Method of Solution for Solving the Mathematical Model of Fractal Reservoir with Spherical Flow. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-455568
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455568