Upscaling unsaturated flow in binary porous media with air entry pressure effects

Upscaling unsaturated flow in binary porous media with air entry pressure effects
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具有进气压力效应的二元多孔介质中的不饱和流动的放大

DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
I. Neuweiler
I. Neuweiler
中科院分区：
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文献类型：
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作者：
A. Szymkiewicz;R. Helmig;I. Neuweiler

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我们考虑在多孔介质中的流动，多孔介质中含有粗糙的夹杂物，空气进入压力低，嵌入具有高进入压力的细纹理背景材料中。在吸胀过程中，一些空气被困在包裹体中，而在排水过程中，只有当毛细管进入压力超过背景物质的压力时，包裹体才会被排出。这些效应只能通过两相流模型再现，而不能通过理查兹方程再现。然而，如果使用适当修改毛细管和渗透率函数的理查兹方程的升级形式，结果与两相流模型相当一致。
We consider flow in a porous medium containing coarse‐textured inclusions with a low value of air entry pressure, embedded in a fine‐textured background material having high entry pressure. During imbibition some air remains trapped in the inclusions, while during drainage the inclusions become drained only after the capillary entry pressure exceeds the pressure of the background material. These effects can only be reproduced by a two‐phase flow model, and not by the Richards' equation. However, if an upscaled form of the Richards' equation with appropriately modified capillary and permeability functions is used, the results are in a reasonable agreement with the two‐phase flow model.