Global S&T Development Trend Analysis Platform of Resources and Environment
DOI | 10.1029/2021WR029953 |
Conductivity Estimates of Fractal Models of Geological Media | |
Fá; bio D. A. Aarã; o Reis; Vaughan R. Voller | |
2021-08-19 | |
发表期刊 | Water Resources Research |
出版年 | 2021 |
英文摘要 | Geological media are inherently fractal over multiple length scales, exhibiting a wide range of fractal dimensions . We study the size dependent conductivity of models of geological media based on so called regular random fractals. Specifically, we consider generalizations of the classic Menger sponges where the impermeable cells can take random locations. This results, for a given random fractal generator and a given construction order, in multiple realizations of the target media, each one maintaining the same . We use direct numerical simulation to estimate the conductivity, over a number of patterns, with orders . The conductivity bounds and estimates for regular fractal media are, in general, not applicable to these random fractal models. The conductivity of a specific realization may differ from the ensemble average by a few percents, which suggests a lack of self-averaging; however, the self-averaging is regained if the size of the domain of interest is beyond the maximal fractality length scale. We propose a low computational cost approach for estimating the ensemble average conductivity of a given random fractal at a given order, which matches the order of magnitude predicted from more intensive calculations. Through tabulation of conductivities of generators of random fractals with small scaling factors and fitting models, we explain how these fractals can model geological media in which fractal dimensions and conductivities (or effective diffusion coefficients) are measured. This article is protected by copyright. All rights reserved. |
领域 | 资源环境 |
URL | 查看原文 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/335939 |
专题 | 资源环境科学 |
推荐引用方式 GB/T 7714 | Fá,bio D. A. Aarã,o Reis,et al. Conductivity Estimates of Fractal Models of Geological Media[J]. Water Resources Research,2021. |
APA | Fá,bio D. A. Aarã,o Reis,&Vaughan R. Voller.(2021).Conductivity Estimates of Fractal Models of Geological Media.Water Resources Research. |
MLA | Fá,et al."Conductivity Estimates of Fractal Models of Geological Media".Water Resources Research (2021). |
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