刘立明, 廖新维. 油水两相渗流改进IMPES解法[J]. 力学与实践, 2003, 25(4). DOI: 10.6052/1000-0879-2002-245
引用本文: 刘立明, 廖新维. 油水两相渗流改进IMPES解法[J]. 力学与实践, 2003, 25(4). DOI: 10.6052/1000-0879-2002-245
THE MODIFIED IMPES SOLUTION TO OIL-WATER FLOW IN POROUS MEDIA[J]. MECHANICS IN ENGINEERING, 2003, 25(4). DOI: 10.6052/1000-0879-2002-245
Citation: THE MODIFIED IMPES SOLUTION TO OIL-WATER FLOW IN POROUS MEDIA[J]. MECHANICS IN ENGINEERING, 2003, 25(4). DOI: 10.6052/1000-0879-2002-245

油水两相渗流改进IMPES解法

THE MODIFIED IMPES SOLUTION TO OIL-WATER FLOW IN POROUS MEDIA

  • 摘要: 给出了任意网格剖分下油水两相渗流控制方程的离散形式. 使用近似向量,通过在IMPES方法中连续两次解N阶矩阵,获得了与半隐式解同等的稳定性. 并给出了实际操作步骤. 改进方法在达到与半隐式解相同稳定性的同时,计算效率大大提高, 其有效性为数值模拟算例所证实. 该方法也适用于其它类型的非线性扩散方程(组)数值求解问题.

     

    Abstract: The paper presents a linearization method of governing equations for oil-water flow in porousmedia, discretized to locally perpendicular grids.By using an approximate vector, the same stability is obtained as the semi-implicit solution with IMPESthrough solving the N×N matrices twice. The operationprocedure is presented. The modified IMPES also enjoysmuch higher computation efficiency. The simulation example shows the effectiveness. The method can be generalized for the numerical solution for other typesof non-linear diffusion equations.

     

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