| Mixed Method for Compressible Miscible Displacement with Dispersion in Porous Media |
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| 作者姓名： | Chunguang Chen |
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| 作者单位： | Chunguang Chen Department of Mathematics，Ocean University of China，Qingdao 266071，China. |
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| 摘 要： | Compressible miscible displacement of one fluid by another in porous media is modelled by a nonlinear parabolic system. A finite element procedure is introduced to approximate the concentration of one fluid and the pressure of the mixture. The concentration is treated by a Galerkin method while the pressure is treated by a parabolic mixed finite element method. The effect of dispersion, which is neglected in 1], is considered. Optimal order estimates in L2 are derived for the errors in the approximate solutions.
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| 关 键 词： | 互溶驱替 有限元分析 流体力学 离差 |
| 收稿时间： | 2005-03-30 |
| 修稿时间： | 2006-01-19 |
Mixed Method for Compressible Miscible Displacement with Dispersion in Porous Media |
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| Chunguang Chen.Mixed Method for Compressible Miscible Displacement with Dispersion in Porous Media[J].Numerical Mathematics A Journal of Chinese Universities English Series,2007,16(1):74-82. |
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| Authors: | Chunguang Chen |
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| Abstract: | Compressible miscible displacement of one fluid by another in porous media is modelled by a nonlinear parabolic system. A finite element procedure is introduced to approximate the concentration of one fluid and the pressure of the mixture. The concentration is treated by a Galerkin method while the pressure is treated by a parabolic mixed finite element method. The effect of dispersion, which is neglected in 1], is considered. Optimal order estimates in L2 are derived for the errors in the approximate solutions. |
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| Keywords: | Compressible miscible displacement mixed finite element method dispersion error estimate |
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