Flow control of fluids through porous media

被引：32
|
作者：
Hasan, Agus [1 ,2 ]
Foss, Bjarne [1 ,2 ]
Sagatun, Svein [1 ,3 ]
机构：
[1] Norwegian Univ Sci & Technol NTNU, Dept Engn Cybernet, Trondheim, Norway
[2] NTNU, Ctr Integrated Operat Petr Ind, Trondheim, Norway
[3] Statoil ASA, Bergen, Norway
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 07期
关键词：
Fluid flow system; Porous media; Boundary control; Nonlinear systems; BURGERS-EQUATION;
D O I：
10.1016/j.amc.2011.07.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper discusses flow control of fluids through porous media, specifically related to its application in petroleum science. The flow of fluids is described by the Boussinesq equation with mixed boundary conditions; a Neumann boundary condition describes no flow at the outer boundary of the porous media and a nonlinear boundary condition describes the interaction between the porous media and the source potential. In many ways, the source potential can be controlled. This leads to a boundary control problem of the Boussinesq equation. The problem can be analyzed by the Lyapunov method. Numerical examples are performed to provide a clear understanding of the concept of boundary control for these fluid flow systems. (c) 2011 Elsevier Inc. All rights reserved.
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页码：3323 / 3335
页数：13
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