多孔介质结构对渗流惯性效应的影响规律研究

Study on Influences of Porous Medium Structure on Inertial Effect of Seepage Flow

本文通过局部展开算法研究了多孔介质中排列结构对非线性渗流规律的影响.计算结果表明:规则排列结构的渗流标度律和渗流方向相关,然而非规则排列结构的渗流标度律不依赖于渗流方向而只依赖于多孔介质的几何结构.伴随着排列结构的非规则程度增强,不同方向的渗流阻力变化规律的差异性减小.当流场输运区域较为复杂且不存在较宽直通道时,渗流阻力在较宽雷诺数范围内体现出较为明显的标度律特性.周期性强非规则排列结构中不同区域大小的模型却具有相似的渗流阻力的标度律特性,同时标度律特性与孔隙度的大小相关性不大.阻力非线性标度律由多孔介质结构的不同而取值为2至3之间.

In this paper,the influence of permutation structure in porous media on the non-linear seepage law is studied by the local expansion method.The results show that the seepage scaling law of the orderly arranged structure depends on the seepage direction,but the seepage scaling law of the disorderly arranged structure does not depend on the seepage direction but only on the geometry of the porous medium.With the increase of disorder level of the percolation structure,the discrepancy of seepage resistance in different directions decreases.When the flow field is complex and there is no wider straight passage,the seepage resistance shows obvious scaling law in a wide Reynolds number range.The scaling law of seepage resistance is similar at different region size for the models with strong periodicity and irregularly arranged structure.The scaling law has little correlation with the porosity magnitude.The non-linear scaling parameter of resistance takes a value of 2 to 3 for different porous structures.