| 两相多组分流的Galerkin有限元解法 |
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| 引用本文： | 席开华,任永强,程爱杰,陈国,邵振波,韩培慧.两相多组分流的Galerkin有限元解法[J].山东大学学报(理学版),2009,44(12):6-13. |
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| 作者姓名： | 席开华 任永强 程爱杰 陈国 邵振波 韩培慧 |
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| 作者单位： | 1. 山东大学数学学院, 山东 济南 250100; 2. 大庆油田勘探开发研究院, 黑龙江 大庆 163712 |
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| 摘 要： | 考虑多孔介质中两相多组分不可压缩不混溶驱动问题,给出了描述该问题的数学模型, 包含椭圆型压力方程,对流扩散型饱和度方程和组分浓度方程,采用标准Galerkin有限元方法, 给出了半离散格式,并利用先验误差估计理论得出了最优H1模误差估计。
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| 关 键 词： | 多组分不混溶流动 Galerkin有限元 半离散格式 误差估计 |
| 收稿时间： | 2009-05-19 |
Galerkin methods for two phase multi-components flow in porous media |
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| XI Kai-hua,REN Yong-qiang,CHENG Ai-jie,CHEN Guo,SHAO Zhen-bo,HAN Pei-hui.Galerkin methods for two phase multi-components flow in porous media[J].Journal of Shandong University,2009,44(12):6-13. |
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| Authors: | XI Kai-hua REN Yong-qiang CHENG Ai-jie CHEN Guo SHAO Zhen-bo HAN Pei-hui |
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| Institution: | 1. School of Mathematics, Shandong University, Jinan 250100, Shandong, China;
2. Exploration ＆ Development Research Institute, Daqing Oilfield Company Ltd, Daqing 163712, Heilongjiang, China |
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| Abstract: | The mathematical model for describing two phase incompressible immiscible displacement flow with multi-components in porous media is considered.A global formulation of the governing equations,including pressure,saturation and concentration equations is constructed.For the system,a semi-discrete scheme is formulated by the standard Galerkin method and the optimal H~1 error estimate is derived. |
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| Keywords: | multi-components immiscible displacement Galerkin method semi-discrecte scheme error estimates |
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