| 多孔介质可压缩可混溶驱动问题修正的特征对称有限体积方法 |
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| 引用本文： | 尹哲. 多孔介质可压缩可混溶驱动问题修正的特征对称有限体积方法[J]. 山东大学学报(理学版), 2007, 42(8): 17-23 |
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| 作者姓名： | 尹哲 |
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| 作者单位： | 山东师范大学,数学与系统科学学院,山东,济南,250014;山东大学,数学与系统科学学院,山东,济南,250100 |
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| 基金项目： | 国家自然科学基金;高等学校博士学科点专项科研项目 |
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| 摘 要： | 在油藏数值模拟中,多孔介质可压缩可混溶驱动问题的数学模型是由两个非线性抛物方程耦合而成.对压力方程采用修正的对称有限体积方法，对饱和度方程提出一种修正的特征对称有限体积方法.证明了格式的收敛性，并给出了最优H1模误差估计.
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| 关 键 词： | 可压缩可混溶驱动 有限体积元 特征线修正 |
| 文章编号： | 1671-9352（2007）08-0017-07 |
| 修稿时间： | 2006-11-24 |
The modified symmetric finite volume element method of characteristics for compressible miscible displacement in porous media |
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| YIN Zhe. The modified symmetric finite volume element method of characteristics for compressible miscible displacement in porous media[J]. Journal of Shandong University, 2007, 42(8): 17-23 |
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| Authors: | YIN Zhe |
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| Affiliation: | 1. School of Mathematics and System Sciences, Shandong Normal University, Jinan 250014, Shandong, China; 2. School of Mathematics and System Sciences, Shandong University, Jinan 250100, Shandong, China |
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| Abstract: | Compressible miscible displacement in porous medium is modeled by a nonlinear system of two coupled partial differential equations. The modified symmetric finite volume element method is used for the pressure equation, and the concentration equation is approximated by a modified characteristic and symmetric finite volume element method. Optimal order convergence in H^1 is proved for full discrete schemes. |
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| Keywords: | compressible miscible displacement finite volume element modified method of characteristics |
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