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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Flow equations on a fractal structure
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Flow equations on a fractal structure

机译：分形结构上的流动方程

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Two-phase flow equations are solved on a fractal Bernasconi lattice including capillary and viscous forces. The recursive structure of the lattice allows the use of a renormalization group approach to calculate flow properties, resulting in a much faster method compared to conventional simulations. The interplay between disorder or heterogeneity in local flow conductance and capillary pressure effects is studied as a function of length scale. Flow related quantities such as water cut curves, saturation profiles, and breakthrough times are found to depend on the size of the system and on disorder strength. As disorder increases larger sizes are needed to get good averaging. It is found that this lattice can be used to get a good approximated solution of the two-phase flow equations in complex anisotropic structures, since it grants considering the effect of anisotropy on flow properties, a condition relevant for a variety of industrial applications. (C) 2001 Elsevier Science B.V. All rights reserved. [References: 15]
机译：在包括毛细力和粘性力的分形贝纳斯科尼晶格上求解两相流方程。晶格的递归结构允许使用重归一化组方法来计算流动特性，与传统模拟相比，该方法的速度要快得多。研究了局部流动电导的无序性或异质性与毛细管压力效应之间的相互作用，该相互作用是长度尺度的函数。发现与流量有关的量，例如含水率曲线，饱和度曲线和穿透时间，取决于系统的大小和无序强度。随着无序性的增加，需要更大的尺寸才能获得良好的平均效果。发现该晶格可用于获得复杂各向异性结构中两相流方程的良好近似解，因为它考虑了各向异性对流动特性的影响，而该特性是与多种工业应用相关的条件。 （C）2001 Elsevier Science B.V.保留所有权利。 [参考：15]

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