| 有启动压力梯度渗流的数学模型 |
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| 引用本文： | 郭永存,卢德唐,曾清红,曾亿山.有启动压力梯度渗流的数学模型[J].中国科学技术大学学报,2005,35(4):492-498. |
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| 作者姓名： | 郭永存 卢德唐 曾清红 曾亿山 |
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| 作者单位： | 1. 中国科学技术大学力学与机械工程系,安徽合肥,230027;安徽理工大学机械工程系,安徽淮南,232001
2. 中国科学技术大学力学与机械工程系,安徽合肥,230027 |
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| 基金项目： | 国家自然科学基金（10102020）和安徽省高校自然科学研究项目（2005kj012）资助项目. |
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| 摘 要： | 围绕低渗透问题和Bingham流体渗流问题，从推广的达西定律入手，详细推导了其渗流控制方程，讨论了初始条件和各种边界条件．并且考虑到表皮效应和井筒储集常数，引入有效井筒半径，将控制方程和边界条件无量纲化，建立了有启动压力梯度渗流问题的数学模型，为有启动压力梯度油藏开采提供理论依据．并给出了无网格方法的数值模拟结果．
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| 关 键 词： | 启动压力梯度 低渗透问题 Bingham流体渗流 |
| 文章编号： | 0253-2778（2005）04-0492-07 |
| 收稿时间： | 2003-11-13 |
| 修稿时间： | 2003年11月13 |
Mathematical Model of Fluid Flow in Porous Media Related to Start-up Pressure Gradients |
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| Guo Yong-Cun,LU De-tang,ZENG Qing-hong,ZENG Yi-Shan.Mathematical Model of Fluid Flow in Porous Media Related to Start-up Pressure Gradients[J].Journal of University of Science and Technology of China,2005,35(4):492-498. |
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| Authors: | Guo Yong-Cun LU De-tang ZENG Qing-hong ZENG Yi-Shan |
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| Abstract: | The low permeability flow and the Bingham flow are two classical cases of fluid flow in porous media related to start-up pressure gradients, whose control equations are derived and initial conditions and boundary conditions are discussed. The control equa- tions, initial conditions and boundary conditions are then transformed into dimensionless representation. The mathematical model of fluid flow in porous media related to start-up pressure gradients is established. The theoretical guidance is provided for the oil of start-up pressure gradients. It is also studied for the numerical solution by Meshless methods. |
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| Keywords: | start-up pressure gradients low permeability flow Bingham flow |
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