Exact Boundary Controller Design for a Kind of Enhanced Oil Recovery Models
The exact boundary controllability of a class of enhanced oil recovery systems is discussed in this paper. With a simple transformation, the enhanced oil recovery model is first affirmed to be neither genuinely nonlinear nor linearly degenerate. It is then shown that the enhanced oil recovery system...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/747092 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832548617936699392 |
|---|---|
| author | Ping Guo Changhua Wei Wenjun Xiong Chunlan Zhao |
| author_facet | Ping Guo Changhua Wei Wenjun Xiong Chunlan Zhao |
| author_sort | Ping Guo |
| collection | DOAJ |
| description | The exact boundary controllability of a class of enhanced oil recovery systems is discussed
in this paper. With a simple transformation, the enhanced oil recovery model is first affirmed to be neither
genuinely nonlinear nor linearly degenerate. It is then shown that the enhanced oil recovery system with
nonlinear boundary conditions is exactly boundary controllable by applying a constructed method. Moreover, an interval of the control time is presented to not only give the optimal control time but also show the time for avoiding the blowup of the controllable solution. Finally, an example is given to illustrate the effectiveness of the proposed criterion. |
| format | Article |
| id | doaj-art-8797f61570f4451bb9d243ed1ed70a35 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8797f61570f4451bb9d243ed1ed70a352025-02-03T06:13:35ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/747092747092Exact Boundary Controller Design for a Kind of Enhanced Oil Recovery ModelsPing Guo0Changhua Wei1Wenjun Xiong2Chunlan Zhao3State Key Lab of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, ChinaDepartment of Mathematics, Zhejiang University, Hangzhou 310027, ChinaDepartment of Mathematics, College of Science, Southwest Petroleum University, Chengdu 610500, ChinaDepartment of Mathematics, College of Science, Southwest Petroleum University, Chengdu 610500, ChinaThe exact boundary controllability of a class of enhanced oil recovery systems is discussed in this paper. With a simple transformation, the enhanced oil recovery model is first affirmed to be neither genuinely nonlinear nor linearly degenerate. It is then shown that the enhanced oil recovery system with nonlinear boundary conditions is exactly boundary controllable by applying a constructed method. Moreover, an interval of the control time is presented to not only give the optimal control time but also show the time for avoiding the blowup of the controllable solution. Finally, an example is given to illustrate the effectiveness of the proposed criterion.http://dx.doi.org/10.1155/2014/747092 |
| spellingShingle | Ping Guo Changhua Wei Wenjun Xiong Chunlan Zhao Exact Boundary Controller Design for a Kind of Enhanced Oil Recovery Models Abstract and Applied Analysis |
| title | Exact Boundary Controller Design for a Kind of Enhanced Oil Recovery Models |
| title_full | Exact Boundary Controller Design for a Kind of Enhanced Oil Recovery Models |
| title_fullStr | Exact Boundary Controller Design for a Kind of Enhanced Oil Recovery Models |
| title_full_unstemmed | Exact Boundary Controller Design for a Kind of Enhanced Oil Recovery Models |
| title_short | Exact Boundary Controller Design for a Kind of Enhanced Oil Recovery Models |
| title_sort | exact boundary controller design for a kind of enhanced oil recovery models |
| url | http://dx.doi.org/10.1155/2014/747092 |
| work_keys_str_mv | AT pingguo exactboundarycontrollerdesignforakindofenhancedoilrecoverymodels AT changhuawei exactboundarycontrollerdesignforakindofenhancedoilrecoverymodels AT wenjunxiong exactboundarycontrollerdesignforakindofenhancedoilrecoverymodels AT chunlanzhao exactboundarycontrollerdesignforakindofenhancedoilrecoverymodels |