| 非线性多层渗流系统的数值方法及其应用 |
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| 引用本文： | 袁益让,杜宁,王文洽,韩玉,杨成顺. 非线性多层渗流系统的数值方法及其应用[J]. 应用数学和力学, 2006, 27(11): 1319-1328 |
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| 作者姓名： | 袁益让 杜宁 王文洽 韩玉 杨成顺 |
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| 作者单位： | 1. 山东大学,数学研究所,济南,250100
2. 胜利石油管理局,物探研究院,山东,东营,257022 |
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| 基金项目： | 国家重点基础研究发展计划(973计划);国家科技攻关项目;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： | 对多层非线性渗流系统提出适合并行计算的迎风分数步差分格式，利用变分形式、能量方法、差分算子乘积交换性、高阶差分算子的分解、先验估计的理论和技巧，得到收敛性的最佳阶的误差估计．该方法已成功的应用到油资源渗流力学运移聚集数值模拟的生产实际中．
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| 关 键 词： | 渗流系统 非线性 迎风分数步 收敛性 油资源数值模拟 |
| 文章编号： | 1000-0887（2006）11-1319-10 |
| 收稿时间： | 2005-08-18 |
| 修稿时间： | 2006-08-04 |
Numerical Method and Application for the Three-Dimensional Nonlinear System of Dynamics of Fluids in Porous Media |
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| YUAN Yi-rang,DU Ning,WANG Wen-qia,HAN Yu-ji,YANG Cheng-shun. Numerical Method and Application for the Three-Dimensional Nonlinear System of Dynamics of Fluids in Porous Media[J]. Applied Mathematics and Mechanics, 2006, 27(11): 1319-1328 |
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| Authors: | YUAN Yi-rang DU Ning WANG Wen-qia HAN Yu-ji YANG Cheng-shun |
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| Affiliation: | 1. Institute of Mathematics, Shandong University, Jinan 250100, P.R. China; 2. Physical Exploration Institute of Shengli Petroleum Administration, Dongying, Shandong 257022, P.R. China |
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| Abstract: | For the system of multilayer dynamics of fluids in porous media, the second order upwind finite difference fractional steps schemes applicable to parallel arithmetic are put forward. Some techniques, such as calculus of variations, energy method, multiplicative commutation rule of difference operators, decomposition of high order difference operators and prior estimates were adopted. Optimal order estimates were derived to determine the error in the second order approximate solution. These methods have already been applied to the numerical simulation of migration-accumulation of oil resources. |
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| Keywords: | coupled system nonlinear upwind fractional step convergence numerical simulation of off resource |
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