Incorporation of subscale processes into enhanced constitutive relationships on the meso- and macroscale

在SPIII中，我们打算在模拟和分析实验室实验的基础上，分析宏观尺度非均质性对两相流动过程的影响，并对人工生成的结构物中的两相流动过程进行模拟。重点对宏观动态效应和滞后过程进行了量化。相应地，将数值求解的守恒方程进行推广，例如将MUFTE-UG的滞后模块与动态毛细管压力饱和关系相结合。在第二种方法中，我们计划将随机上标法应用于扩展了动态毛管压力-饱和度关系的Richards方程。

Within SPIII we intend to analyse the influence of macroscale heterogeneities on two-phase flow processes based on simulations and analysis of laboratory experiments, and simulations of two-phase flow processes in artificially generated structures. Emphasis is put on quantifying macroscale dynamikc effects and hysteresis processes. Accordingly, the numerically solved conservation equations will be extended, e. g. combining the hysteresis module of MUFTE-UG with a dynamic capillary pressuresaturation relationship. In a second approach we plan to apply a stochastic upscaling method to the RICHARDS equation extended by the dynamic capillary pressure-saturation relationship.