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一维混相驱的一种新模型及其数值模拟
引用本文:李培超,曾清红,孔祥言,卢德唐.一维混相驱的一种新模型及其数值模拟[J].中国科学技术大学学报,2002,32(6):666-671,753.
作者姓名:李培超  曾清红  孔祥言  卢德唐
作者单位:中国科学技术大学力学和机械工程系,安徽合肥,230026
基金项目:973project (G19990 32 80 5 ),NNSFCproject (10 10 2 0 2 0 )
摘    要:提出了一种考虑物理弥散的一维混相驱模型。该模型是在福克扩散定律和连续性方程的基础上建立的。论文给出了其解析解,同时采用了高阶精度差分格式数值求解此模型,并将两者进行了比较分析,发现两者吻合得很好,这种考虑了物理弥散和对流的模型可以更为准确地描述混相驱替过程。

关 键 词:数值模拟  物理弥散  对流  高阶精度差分格式  一维混相驱模型  福克扩散定律  渗流

A Miscible Model and Numerical Simulation for 1D Miscible Displacement
Abstract.A Miscible Model and Numerical Simulation for 1D Miscible Displacement[J].Journal of University of Science and Technology of China,2002,32(6):666-671,753.
Authors:Abstract
Abstract:This paper presents a new miscible model, in which physical dispersion is taken into account, to simulate one dimensional miscible displacement. The model is constructed using Fick's dispersion law and the continuity equation. On the one hand, an analytical solution to the model is developed, on the other, a higher order finite difference scheme is applied to solve the model. Furthermore, the numerical solution is compared with the analytical solution with good accordance. The new model can describe more adequately the miscible displacement process than the other models in that it includes both the convection and the dispersion.
Keywords:miscible displacement  physical dispersion  convection  high  order method
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