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油水渗流动边值问题的迎风差分方法

袁益让 李长峰 杨成顺 韩玉笈

袁益让, 李长峰, 杨成顺, 韩玉笈. 油水渗流动边值问题的迎风差分方法[J]. 应用数学和力学, 2009, 30(11): 1281-1294. doi: 10.3879/j.issn.1000-0887.2009.11.003
引用本文: 袁益让, 李长峰, 杨成顺, 韩玉笈. 油水渗流动边值问题的迎风差分方法[J]. 应用数学和力学, 2009, 30(11): 1281-1294. doi: 10.3879/j.issn.1000-0887.2009.11.003
YUAN Yi-rang, LI Chang-feng, YANG Cheng-shun, HAN Yu-ji. Upwind Finite Difference Method for Miscible(Oil and Water) Displacement Problem With Moving Boundary Values[J]. Applied Mathematics and Mechanics, 2009, 30(11): 1281-1294. doi: 10.3879/j.issn.1000-0887.2009.11.003
Citation: YUAN Yi-rang, LI Chang-feng, YANG Cheng-shun, HAN Yu-ji. Upwind Finite Difference Method for Miscible(Oil and Water) Displacement Problem With Moving Boundary Values[J]. Applied Mathematics and Mechanics, 2009, 30(11): 1281-1294. doi: 10.3879/j.issn.1000-0887.2009.11.003

油水渗流动边值问题的迎风差分方法

doi: 10.3879/j.issn.1000-0887.2009.11.003
基金项目: 国家重点基础研究专项基金资助项目(G19990328);国家攻关基金资助项目(2005020069);国家自然科学基金资助项目(10771124;10372052);教育部博士点基金资助项目(20030422047)
详细信息
    作者简介:

    袁益让(1935- ),男,江苏靖江人,教授(联系人.Tel:+86-531-88364732;Fax:+86-531-88564652;E-mail:yryuan@sdu.edu.cn).

  • 中图分类号: O241.82

Upwind Finite Difference Method for Miscible(Oil and Water) Displacement Problem With Moving Boundary Values

  • 摘要: 可压缩可混溶油、水渗流动边值问题的研究,对重建盆地发育中油气资源运移、聚集的历史和评估油气资源的勘探与开发有重要的价值,其数学模型是一组非线性耦合偏微分方程组的动边值问题.对二维有界域的动边值问题提出一类新的迎风差分格式,应用区域变换、变分形式、能量方法、差分算子乘积交换性理论、高阶差分算子的分解、微分方程先验估计的理论和技巧,得到了最佳误差估计结果.该方法已成功应用到油资评估的数值模拟中.它对这一领域的模型分析,数值方法和软件研制均有重要的价值.
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    [19] YUAN Yi-rang,HAN Yu-ji.Numerical simulation of migration-accumulation of oil resources[J].Comput Geosi,2008,12:153-162. doi: 10.1007/s10596-007-9075-5
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    [21] 袁益让,羊丹平,王文洽.含油气盆地三维问题的计算机模拟及其数值分析[J].计算物理,1992,9(4):361-365.
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出版历程
  • 收稿日期:  2009-02-21
  • 修回日期:  2009-09-10
  • 刊出日期:  2009-11-15

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