The effect of morphological disorder on hydrodynamic dispersion in flow through porous media
The effect of morphological disorder on hydrodynamic dispersion in flow through porous media
复制标题
形态无序对多孔介质流动中水动力分散的影响
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
A. Imdakm
中科院分区：
文献类型：
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作者：
M. Sahimi;A. Imdakm
研究了通过无序多孔介质的流体动力弥散问题。主要目标是研究对流扩散方程（CDE）不能描述分散过程的条件，并研究分散过程中孔隙空间的无序形态的影响。他们首先使用简单的多孔介质模型，分析研究分散过程，并将结果与CDE的预测进行比较。结果表明，多孔介质的形态可以强烈影响分散过程。然后，他们使用Monte Carlo模拟方法来研究分散过程中的随机网络模型的多孔介质是由互连的毛细管分布的有效半径。渗流网络被用作具有无序拓扑结构的多孔介质的原型。结果表明，当网络的逾渗阈值Xc接近时，存在一个不规则的、长度依赖的色散区，这是CDE无法描述的。他们提出了一个概括的高斯分布来描述色散的异常制度，并确认它通过蒙特卡罗模拟。
The authors study hydrodynamic dispersion in flow through a disordered porous medium. The main goals are to investigate the condition(s) under which a convective-diffusion equation (CDE) cannot describe dispersion processes and to investigate the effect of the disordered morphology of the pore space on dispersion processes. They first use simple models of porous media and study dispersion processes analytically and compare the results with the predictions of the CDE. The results show that the morphology of the porous medium can strongly affect dispersion processes. They then use a Monte Carlo simulation approach to study dispersion processes in random network models of porous media which are made of interconnected capillary tubes with distributed effective radii. A percolation network is used as a prototype of porous media with disordered topology. They show that, as the percolation threshold Xc of the network is approached, there exists an anomalous and length-dependent dispersion regime that cannot be described by the CDE. They propose a generalisation of the Gaussian distribution to describe dispersion in the anomalous regime, and confirm it by Monte Carlo simulations.