根据流经多孔介质的各种参数估算孔隙度的统计模型

Rajat Kango, Abhishish Chandel, Vijay Shankar
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引用次数: 0

摘要

流经多孔介质是一个对环境有重大影响的过程。水力传导性取决于介质的颗粒大小、形状和孔隙度,在地下水、渗流和土壤稳定性等不同科学领域都有应用。精确估算孔隙度可以准确计算多孔介质的导水率。本研究探讨了粒度对多孔介质(即碎石英岩、河道砾石、大理石碎屑和沙子)孔隙率的影响。此外,还研究了基于直径比(即渗透率与颗粒大小之比(Dp/dg))的壁效应对多孔介质填料和孔隙率的影响。观察到多孔介质的水导率和孔隙率随着颗粒尺寸的增加而增加。该研究假设了导水率和孔隙率之间的可靠关系。实验得出的孔隙率值和模型生成的孔隙率值分别为 0.38-0.42 和 0.37-0.43 之间,适用于碎石英岩、河道砾石、大理石碎屑和砂。实验数据被用于推导基于直径比(5.08 ≤ (Dp/dg) ≤ 254)的统计模型,以估算介质的孔隙度。利用实验数据对统计模型进行验证,确定了所开发模型的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A statistical model for estimating porosity based on various parameters of flow through porous media
Flow through porous media is a process with a momentous impact on the environment. Hydraulic conductivity, which depends on the particle size, shape, and porosity of the media, has applications in different fields of science, e.g., groundwater, seepage, and soil stability. Precise estimation of porosity leads to accurate computation of the hydraulic conductivity of porous media. The present study investigates the effect of particle size on the porosity of porous media, i.e., crushed quartzite, river gravel, marble chips, and sand. The influence of the wall effect on packing and porosity of porous media based on the diameter ratio, i.e., the ratio of permeameter-to-particle size (Dp/dg) has also been investigated. The hydraulic conductivity and the porosity of porous media are observed to increase with an increase in the particle size. The study postulates a dependable relation between hydraulic conductivity and porosity. The experimentally obtained and the model-generated porosity values for crushed quartzite, river gravel, marble chips, and sand range between 0.38–0.42 and 0.37–0.43, respectively. Experimental data have been used to derive a statistical model based on the diameter ratio (5.08 ≤ (Dp/dg) ≤ 254) for estimating the porosity of media. The validation of the statistical model using experimental data establishes the efficacy of the developed model.
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