| 多孔介质两相流的局部守恒有限元分析 |
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| 引用本文： | 张娜,姚军,黄朝琴,王月英.多孔介质两相流的局部守恒有限元分析[J].计算物理,2013,30(5):667-674. |
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| 作者姓名： | 张娜 姚军 黄朝琴 王月英 |
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| 作者单位： | 中国石油大学(华东)石油工程学院, 山东 青岛 266555 |
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| 基金项目： | 国家重点基础研究发展规划(973)项目(2011CB201004);国家重点自然基金(51234007);高等学校学科创新引智计划项目;中国石油大学(华东)优秀博士学位论文培育计划项目(LW120201);中央高校基本科研业务费专项资金(13CX06026A,13CX06027A)资助项目 |
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| 摘 要： | 用局部守恒有限元法研究多孔介质两相渗流问题.详细阐述局部守恒有限元法的基本原理,推导两相渗流问题的局部守恒有限元计算格式并编制相应的计算程序.通过一维Buckley-Leverett两相渗流算例验证该方法的正确性.应用局部守恒有限元法和混合有限元法分别对2个模型进行分析对比.计算结果表明局部守恒有限元法具有良好的鲁棒性及适用性,相较于混合有限元法,处理过程简单,计算时间缩短,为标准有限元法应用于复杂渗流问题提供了一种途径.
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| 关 键 词： | 局部守恒 有限元 两相渗流 数值模拟 |
| 收稿时间： | 2012-11-20 |
| 修稿时间： | 2013-03-29 |
Locally Conservative Galerkin Numerical Simulation for Two-phase Flow in Porous Media |
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| ZHANG Na,YAO Jun,HUANG Zhaoqin,WANG Yueying.Locally Conservative Galerkin Numerical Simulation for Two-phase Flow in Porous Media[J].Chinese Journal of Computational Physics,2013,30(5):667-674. |
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| Authors: | ZHANG Na YAO Jun HUANG Zhaoqin WANG Yueying |
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| Institution: | College of Petroleum Engineering China University of Petroleum (East China), Qingdao 266555, China |
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| Abstract: | A locally conservative Galerkin (LCG) finite element method is proposed for two-phase flow simulations in heterogeneous porous media. The main idea of it is to use property of local conservation at steady state conditions to define a numerical flux at element boundaries. It provides a way to apply standard Ga/erkin finite element method in two-phase flow simulations in porous media. LCG method has all advantages of standard finite element method while explicitly conserving fluxes over each element. Several problems are solved to demonstrate accuracy of the method. All examples show that the formulation is accurate and robust, while CPU time is significantly less than mixed finite element method. |
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| Keywords: | locally conservative LCG two-phase flow numerical simulation |
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