A theoretical study on the hydraulic conductivity of anisotropic granular materials by implementing the microstructure tensor

IF 2.3 3区 工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY
Mehdi Veiskarami, Leila Roshanali, Ghassem Habibagahi
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引用次数: 0

Abstract

A theoretical study on the hydraulic conductivity of fully saturated anisotropic granular materials for a 2D fluid flow has been made by making use of the microstructure tensor as the anisotropy descriptor. The assemblage of particles was assumed to be the representative elementary volume of materials with void spaces as a multiply-connected continuum through which a Stokesian flow can pass. The Navier–Stokes equations have been then solved to find the mean velocity vector under different pressure boundary conditions. A tensorial form of the hydraulic conductivity with constants being functions of the invariants of the microstructure tensor, as the geometric measure of the anisotropy, has been presented based on a number of realizations for different GSD curves. Verifications with available experimental data exhibit a reasonable accuracy of the suggested equation.

Graphical abstract

Abstract Image

应用微观结构张量对各向异性颗粒材料导水率的理论研究
利用微结构张量作为各向异性描述符,对完全饱和各向异性颗粒材料在二维流体流动中的水力传导性进行了理论研究。假设粒子的集合是具有代表性的物质基本体积,其中空洞空间是一个多重连接的连续体,斯托克流可以通过该连续体。求解了Navier-Stokes方程,得到了不同压力边界条件下的平均速度矢量。基于不同GSD曲线的若干实现,提出了一种以微观结构张量不变量为常数的张量形式的水力导电性,作为各向异性的几何度量。用现有的实验数据进行验证,表明所提出的方程具有合理的准确性。图形抽象
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来源期刊
Granular Matter
Granular Matter Materials Science-General Materials Science
CiteScore
4.60
自引率
8.30%
发文量
95
审稿时长
6 months
期刊介绍: Although many phenomena observed in granular materials are still not yet fully understood, important contributions have been made to further our understanding using modern tools from statistical mechanics, micro-mechanics, and computational science. These modern tools apply to disordered systems, phase transitions, instabilities or intermittent behavior and the performance of discrete particle simulations. >> Until now, however, many of these results were only to be found scattered throughout the literature. Physicists are often unaware of the theories and results published by engineers or other fields - and vice versa. The journal Granular Matter thus serves as an interdisciplinary platform of communication among researchers of various disciplines who are involved in the basic research on granular media. It helps to establish a common language and gather articles under one single roof that up to now have been spread over many journals in a variety of fields. Notwithstanding, highly applied or technical work is beyond the scope of this journal.
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