论文标题
关于不可压缩的两相流的简化双孔隙率模型的一些评论
Some remarks on simplified double porosity model of immiscible incompressible two-phase flow
论文作者
论文摘要
在薄裂缝的情况下，该论文通过线性化，通过线性化，简化（完全均质）的均质不可压缩的两相流的模型。在作者先前得出的简化双孔隙率模型中，矩阵折叠源项通过卷积类型源项近似。这种方法使能够从全局双孔隙率模型中以吸入方程的形式排除细胞问题。在本文中，我们提出了一个新的线性版本的吸收方程式，该方程式导致新的简化双孔隙率模型。我们还提出了数值模拟，这些模拟表明基于此新线性化过程的矩阵折叠交换项比作者先前获得的相应的交换项更好地近似确切的近似值。
The paper is devoted to the derivation, by linearization, of simplified (fully homogenized) homogenized models of an immiscible incompressible two-phase flow in double porosity media in the case of thin fissures. In a simplified dual porosity model derived previously by the authors the matrix-fracture source term is approximated by a convolution type source term. This approach enables to exclude the cell problem, in form of the imbibition equation, from the global double porosity model. In this paper we propose a new linear version of the imbibition equation which leads to a new simplified dual porosity model. We also present numerical simulations which show that the matrix-fracture exchange term based on this new linearization procedure gives a better approximation of the exact one than the corresponding exchange term obtained earlier by the authors.
