Coreflooding experiments with computed tomography imaging are becoming common practice. They allow to investigate the sub-core scale properties such as relative permeability ($k_r$) and capillary pressure ($P_c$), and to construct multiphase flow models that not only capture the core average flow, but also the flow on the sub-core (millimeter) scale. This work presents two-phase flow models of imbibition coreflooding in two heterogeneous core samples which underwent drainage and imbibition experiments, as part of a previous investigation. The models incorporate hysteresis in two approaches: global and sub-core. The latter includes unique $P_c$ and $k_r$ for each grid block of the core depending on the turning point and residual saturations measured in the experiments. The simulation output of grid-block (sub-core) saturation distribution is compared to the experimental data. Results show that the sub-core hysteresis model matches the experiments more accurately than the global model. This is particularly important for the core with a higher degree of heterogeneity in which the global hysteresis model shows large errors while the model incorporating sub-core hysteresis is significantly more accurate.

使用计算机断层扫描成像的岩心驱替实验正在成为普遍做法。它们允许研究子岩心尺度特性，例如相对渗透率 (${ķ}_r$) 和毛细管压力 (${磷}_C$)，并构建多相流模型，该模型不仅可以捕获核心平均流，还可以捕获子核心（毫米）尺度上的流。作为先前研究的一部分，这项工作提出了两个非均质岩心样品中吸吸岩心驱的两相流模型，这些样品经历了排水和吸水实验。这些模型以两种方法结合滞后：全局和子核心。后者包括独特的${磷}_C$和${ķ}_r$取决于实验中测量的转折点和残余饱和度，为核心的每个网格块。将网格块（子核心）饱和分布的模拟输出与实验数据进行比较。结果表明，子核心滞后模型比全局模型更准确地匹配实验。这对于具有较高异质性的核心尤其重要，其中全局滞后模型显示出较大的误差，而包含子核心滞后的模型明显更准确。