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Inertia Effects in High-Rate Flow Through Heterogeneous Porous Media

机译：异质多孔介质高速流动中的惯性效应

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The paper deals with the effects of large scale permeability-heterogeneity on flows at high velocities through porous media. The media is made of a large number of homogeneous blocks where the flow is assumed to be governed by the Forchheimer equation with a constant inertial coefficient. By assuming the validity of the Forchheimer equation at the large scale, an effective inertial coefficient is deduced from numerical simulations. Different media are investigated: serial-layers, parallel-layers and correlated media. The numerical results show that: (ⅰ) for the serial-layers, the effective inertial coefficient is independent of the Reynolds number and decreases when the variance and the mean permeability ratio increases; (ⅱ) for the parallel-layers and the correlated media, the effective inertial coefficient is function of the Reynolds number and increases when the variance and the mean permeability ratio increases. Theoretical relationships are proposed for the inertial coefficient as function of the Reynolds number and the characteristics of the media.
机译：本文研究了大规模渗透率非均质性对高速流经多孔介质的流动的影响。介质由大量均质块组成，其中假定流量由具有恒定惯性系数的Forchheimer方程控制。通过大规模假设Forchheimer方程的有效性，可以从数值模拟中得出有效的惯性系数。研究了不同的媒体：串行层，并行层和相关媒体。数值结果表明：（ⅰ）对于连续层，有效惯性系数与雷诺数无关，并且当方差和平均渗透率增大时减小。 （ⅱ）对于平行层和相关介质，有效惯性系数是雷诺数的函数，并且当方差和平均渗透率增加时增加。提出了惯性系数与雷诺数和介质特性的函数的理论关系。

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