Development of a three-scale homogenization method for flow in porous media
The Proceedings of The Computational Mechanics Conference(2019)
摘要
In this study, we develop a three-scale homogenization method that can analyze steady flow in porous media with hierarchically multiscale internal structures. To this end, first, a porous medium is modeled with respect to three scales by considering the porous medium as a macro-structure, a base material and a flow path as a meso-structure, and a micro flow path inside the base material as a micro-structure. Then, we formulate a three-scale homogenization method by dually applying the mathematical homogenization method to not only the meso/micro but also the macro/meso scales. Using the present method, we analyze micro/meso flow fields and meso/macro permeabilities of a three-scale porous medium.
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关键词
flow,three-scale
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