Several interactive and non-interactive bundle-of-tubes models have been proposed to analyze immiscible displacements in porous media. However, evaluations of these models on whether they can quantitatively predict multiphase flows are lacking. The purpose of this work is to present development and evaluation of a constant-rate non-interactive bundle-of-tubes model. Tubes were constructed using pore size distribution data from mercury injection, and tortuosities of the tubes were varied to match the permeabilities of tested neutrally wet sandstone core samples. Evaluation of the model shows that tortuosity affected rates or pressures of a displacement through its control over the permeability. Tortuosity, however, does not appear to affect relative permeability. Changing pressures in constant-pressure flows and changing rates in constant-rate flows led to largely identical unsteady-state relative permeability curves, despite some small differences that were observed between constant-pressure and constant-rate flows. As we compare unsteady-state relative permeabilities from our model to those from experiments, an excellent match was found for oil's relative permeabilities. The match for water's relative permeabilities, however, was poor. This study shows that improvement in the relative permeability of the injected fluid is needed.

中文翻译：

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计算实验室测量非稳态相对磁导率的非交互式管束模型的评估

已经提出了几种交互式和非交互式管束模型来分析多孔介质中的不混溶位移。但是，缺乏对这些模型是否可以定量预测多相流的评估。这项工作的目的是提出一种恒定速率非交互式管束模型的开发和评估。使用来自汞注入的孔径分布数据构造试管，并改变试管的曲率以匹配测试的中性湿砂岩岩心样品的渗透率。对模型的评估表明，曲折度通过控制渗透率而影响位移的速率或压力。但是，曲折度似乎并未影响相对磁导率。尽管在恒压和恒速流量之间观察到一些小差异，但恒压流量中的压力变化和恒流量中的速率变化导致了大​​致相同的非稳态相对渗透率曲线。当我们将模型中的非稳态相对渗透率与实验中的非稳态相对渗透率进行比较时，发现石油的相对渗透率非常匹配。但是，水的相对渗透率的匹配很差。这项研究表明，需要改善注入流体的相对渗透率。发现油的相对渗透率极佳。但是，水的相对渗透率的匹配很差。这项研究表明，需要改善注入流体的相对渗透率。发现油的相对渗透率极佳。但是，水的相对渗透率的匹配很差。这项研究表明，需要改善注入流体的相对渗透率。