Determining the time of breakthrough of injected water is important when assessing waterflood in an oil reservoir. Breakthrough time distribution for a passive tracer (for example water) in percolation porous media (near the percolation threshold) gives insights into the dynamic behavior of flow in geometrically complex systems. However, the application of such distribution to realistic two-phase displacements can be done based on scaling of all parameters. Here, we propose two new approaches for scaling of breakthrough time (characteristic times) in two-dimensional flow through percolation porous media. The first is based on the flow geometry, and the second uses the flow parameters of a representative homogenous model. We have tested the effectiveness of these two approaches using a large number of dynamic simulations. The results show significant improved distribution curves for the breakthrough (transit) time between an injector and a producer located in a heterogeneous porous medium in comparison with the previous scaling methods.

中文翻译：

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特征时间对渗流多孔介质两相位移突破时间分布标度的影响

在评估油藏中的注水时，确定注入水的突破时间很重要。渗透多孔介质（接近渗透阈值）中被动示踪剂（例如水）的突破时间分布可以深入了解几何复杂系统中流动的动态行为。然而，这种分布在实际两相位移中的应用可以基于所有参数的缩放来完成。在这里，我们提出了两种新方法来缩放通过渗透多孔介质的二维流中的突破时间（特征时间）。第一个基于流动几何，第二个使用具有代表性的均质模型的流动参数。我们已经使用大量动态模拟测试了这两种方法的有效性。