Upscaling multiphase viscous-to-capillary transitions in heterogeneous porous media
Upscaling multiphase viscous-to-capillary transitions in heterogeneous porous media
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DOI：
10.1017/jfm.2020.1134
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发表时间：
2021-02
影响因子：
3.7
通讯作者：
G. Benham;M. Bickle;J. Neufeld
中科院分区：
文献类型：
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作者：
G. Benham;M. Bickle;J. Neufeld
摘要多孔介质中非均匀性效应的放大对于宏观流动预测是至关重要的，在能源和环境设置中有许多应用。在这项研究中，我们推导出简单的半解析表达式的放大多相流在多孔介质中的垂直非均匀性的范围。我们使用这种放大，以了解如何流动之间的粘性流动制度，其中宏观压力梯度占主导地位的异质性驱动的毛细作用力，和毛细流动制度，其中这些毛细作用力占主导地位，并设置饱和度分布的流量过渡。特别是，通过研究含水层中的流动动力学，我们证明了不同的区域位于粘性和毛细流动制度，而其他地区位于这些制度之间。通过修改经典的Buckley-Leverett问题的流体位移，我们演示了在哪里和何时这些制度之间的流动过渡，以及这如何影响洪水的速度。然后，我们讨论了这些结果的二氧化碳封存的情况下，与现场数据进行比较的影响。
Abstract Upscaling the effect of heterogeneities in porous media is crucial for macroscopic flow predictions, with numerous applications in energy and environmental settings. In this study, we derive simple semi-analytical expressions for the upscaling of multiphase flow in a porous medium with a range of vertical heterogeneities. We use this upscaling to give insight into how the flow transitions between a viscous flow regime, in which macroscopic pressure gradients dominate over heterogeneity-driven capillary forces, and a capillary flow regime, in which these capillary forces dominate and set the saturation distribution of the flow. In particular, by studying the dynamics of flow in an aquifer, we demonstrate that different regions lie within the viscous and capillary flow regimes whilst other regions lie in between these regimes. By modifying the classic Buckley–Leverett problem for fluid displacement we demonstrate where and when the flow transitions between these regimes and how this affects flooding speeds. Then, we discuss the implications of these results in the case of carbon dioxide sequestration, making comparisons with field data.