Multiscale modelling of hydraulic conductivity in vuggy porous media.
Multiscale modelling of hydraulic conductivity in vuggy porous media.
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DOI：
10.1098/rspa.2013.0383
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发表时间：
2014-02-08
期刊：
影响因子：
--
通讯作者：
Roose T
中科院分区：
文献类型：
--
作者：
Daly KR;Roose T
饱和和非饱和多孔介质（如土壤）中的流动具有多尺度性。土壤团聚体和更宽的洞穴的复杂微孔结构提供了多种流动路径，并已受到X射线计算机断层扫描（CT）界的极大关注，并不断推动以更高分辨率成像。利用多尺度均匀化方法，我们导出了微尺度结构对宏观流动影响的平均方程。平均模型通过一系列单元格问题捕获底层几何形状，并通过与完整结构的数值模拟直接比较进行验证。这些方法提供了显着减少计算时间，使我们能够在台式PC上执行复杂几何形状的三维计算。结果表明，集料表面粗糙度对流动的影响明显大于集料内部的微观结构。因此，这是基于图像建模的X射线CT分辨率影响最大的区域。
Flow in both saturated and non-saturated vuggy porous media, i.e. soil, is inherently multiscale. The complex microporous structure of the soil aggregates and the wider vugs provides a multitude of flow pathways and has received significant attention from the X-ray computed tomography (CT) community with a constant drive to image at higher resolution. Using multiscale homogenization, we derive averaged equations to study the effects of the microscale structure on the macroscopic flow. The averaged model captures the underlying geometry through a series of cell problems and is verified through direct comparison to numerical simulations of the full structure. These methods offer significant reductions in computation time and allow us to perform three-dimensional calculations with complex geometries on a desktop PC. The results show that the surface roughness of the aggregate has a significantly greater effect on the flow than the microstructure within the aggregate. Hence, this is the region in which the resolution of X-ray CT for image-based modelling has the greatest impact.
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