| 油藏盆地发育数值模拟中的偏微分方程组的有限元方法和理论分析 |
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| 引用本文： | 袁益让.油藏盆地发育数值模拟中的偏微分方程组的有限元方法和理论分析[J].系统科学与数学,1994,14(1):009-020. |
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| 作者姓名： | 袁益让 |
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| 作者单位： | 山东大学数学系 |
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| 基金项目： | 国家教委博士点基金资助项目 |
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| 摘 要： | 油藏盆地发育数值模拟中的偏微分方程组的有限元方法和理论分析袁益让，王文洽，羊丹平（山东大学数学系，济南２５０１００）国家教委博士点基金资助项目．１９９０年４月２日收到，１９９０年８目２７日收到第一次修改压缩稿．１９９０年１２月１４日收到第二次修改稿．...
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FINITE ELEMENT METHODS AND NUMERICALANALYSIS FOR PETROLEUM ORIGIN ANDACCUMULATION IN BASIN EVOLUTION |
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| YUAN YI-RANC,WANC WEN-QIA,YANG DAN-PING.FINITE ELEMENT METHODS AND NUMERICALANALYSIS FOR PETROLEUM ORIGIN ANDACCUMULATION IN BASIN EVOLUTION[J].Journal of Systems Science and Mathematical Sciences,1994,14(1):009-020. |
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| Authors: | YUAN YI-RANC WANC WEN-QIA YANG DAN-PING |
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| Institution: | (1)Shandong University, Jinan 250100;(2)Shandong University, Jinan 250100;(3)Shandong University, Jinan 250100 |
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| Abstract: | Petroleum origin and accumulation in basin evolution is governed by a system ofnonlinear partial differential equations. The mathematical model considered comprises (1) fluid flow (2) heat transport (3) porosity of the media. The pressure, Darcyvelocity and temperature are approximated by the finite element method. Optimalorderconvergence in Li and H1 is proved. |
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