IMECH-IR  > 流固耦合系统力学重点实验室
Numerical Investigations of the Effect of Nonlinear Quadratic Pressure Gradient Term on a Moving Boundary Problem of Radial Flow in Low-Permeable Reservoirs with Threshold Pressure Gradient
Liu WC(刘文超); Yao J
Source PublicationMATHEMATICAL PROBLEMS IN ENGINEERING
2015
IssueArticle ID 275057Pages:1-12
ISSN1024-123X
AbstractThe existence of a TPG can generate a relatively high pressure gradient in the process of fluid flow in porous media in low-permeable reservoirs, and neglecting the QPGTs in the governing equations, by assuming a small pressure gradient for such a problem, can cause a significant error in predicting the formation pressure. Based on these concerns, in consideration of the QPGT, a moving boundary model of radial flow in low-permeable reservoirs with the TPG for the case of a constant flow rate at the inner boundary is constructed. Due to strong nonlinearity of the mathematical model, a numerical method is presented: the system of partial differential equations for the moving boundary problem is first transformed equivalently into a closed system of partial differential equations with fixed boundary conditions by a spatial coordinate transformation method; and then a stable, fully implicit finite difference method is used to obtain its numerical solution. Numerical result analysis shows that the mathematical models of radial flow in low-permeable reservoirs with TPG must take the QPGT into account in their governing equations, which is more important than those of Darcy's flow; the sensitive effects of the QPGT for the radial flow model do not change with an increase of the dimensionless TPG.
DOI10.1155/2015/275057
Indexed BySCI ; EI
Language英语
WOS IDWOS:000353801000001
Funding OrganizationNatural Science Foundation of China (NSFC) 11102237 51404232 Program for Changjiang Scholars and Innovative Research Team in University IRT1294
ClassificationQ3
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/59624
Collection流固耦合系统力学重点实验室
Recommended Citation
GB/T 7714
Liu WC,Yao J. Numerical Investigations of the Effect of Nonlinear Quadratic Pressure Gradient Term on a Moving Boundary Problem of Radial Flow in Low-Permeable Reservoirs with Threshold Pressure Gradient[J]. MATHEMATICAL PROBLEMS IN ENGINEERING,2015(Article ID 275057):1-12.
APA Liu WC,&Yao J.(2015).Numerical Investigations of the Effect of Nonlinear Quadratic Pressure Gradient Term on a Moving Boundary Problem of Radial Flow in Low-Permeable Reservoirs with Threshold Pressure Gradient.MATHEMATICAL PROBLEMS IN ENGINEERING(Article ID 275057),1-12.
MLA Liu WC,et al."Numerical Investigations of the Effect of Nonlinear Quadratic Pressure Gradient Term on a Moving Boundary Problem of Radial Flow in Low-Permeable Reservoirs with Threshold Pressure Gradient".MATHEMATICAL PROBLEMS IN ENGINEERING .Article ID 275057(2015):1-12.
Files in This Item: Download All
File Name/Size DocType Version Access License
275057.pdf(2263KB)期刊论文出版稿开放获取CC BY-NC-SAView Download
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Liu WC(刘文超)]'s Articles
[Yao J]'s Articles
Baidu academic
Similar articles in Baidu academic
[Liu WC(刘文超)]'s Articles
[Yao J]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Liu WC(刘文超)]'s Articles
[Yao J]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: 275057.pdf
Format: Adobe PDF
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.