| 含有启动压力梯度的渗流问题及其无网格解法 |
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| 引用本文： | 曾清红,卢德唐.含有启动压力梯度的渗流问题及其无网格解法[J].计算力学学报,2005,22(4):443-446. |
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| 作者姓名： | 曾清红 卢德唐 |
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| 作者单位： | 中国科学技术大学,力学与机械工程系,合肥,230027 |
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| 基金项目： | 国家自然科学基金(10102020)，973(G1999032805)资助项目. |
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| 摘 要： | 针对两种典型的涉及启动压力梯度的渗流问题，给出了无量纲化的渗流控制方程、初始条件和边界条件，并使用无网格方法进行数值模拟。计算结果使用Gringarten—Bourdet图版进行井底压力分析，给出了一种计算动边界位置的方法，并详细讨论了动边界变化情况。
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| 关 键 词： | 启动压力梯度 数值模拟 无网格方法 移动最小二乘法 |
| 文章编号： | 1007-4708(2005)04-0443-04 |
| 修稿时间： | 2003年10月20 |
Porous flow related to start-up pressure gradients and it's solution with meshless methods |
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| ZENG Qing-hong,LU De-tang.Porous flow related to start-up pressure gradients and it''s solution with meshless methods[J].Chinese Journal of Computational Mechanics,2005,22(4):443-446. |
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| Authors: | ZENG Qing-hong LU De-tang |
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| Institution: | ZENG Qing-hong,LU De-tang~ |
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| Abstract: | Low permeability flow and Bingham flow are the two typical porous flow related to start-up pressure gradients. In this paper, the mathematical model of fluid flow in porous media related to start-up pressure gradients is established. The control equations, initial conditions and boundary conditions are given in dimensionless representation. Subsequently, meshless methods are employed to simulate these problems and numerical results are obtained. Gringarten-Bourdet graphs are used to analyze the well-bottom pressure in different boundary conditions. To study the propagation of moving-boundary, a method to determine the position of moving-boundary is presented and the propagation curves of moving-boundary with different parameters are discussed. |
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| Keywords: | start-up pressure gradients numerical simulation meshless methods moving least squares methods |
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