Global S&T Development Trend Analysis Platform of Resources and Environment
DOI | 10.1029/2020WR028214 |
Scaling Analysis of Two‐Phase Flow in Fractal Permeability Fields | |
Yuhang Wang; Jesse Mckinzie; Frederico Furtado; Saman A. Aryana | |
2020-11-13 | |
发表期刊 | Water Resources Research |
出版年 | 2020 |
英文摘要 | Fluid mixing in permeable media is essential in many practical applications. The mixing process is a consequence of velocity fluctuations owing to geological heterogeneities and mobility contrast of fluids. Heterogeneities in natural rocks are often spatially correlated, and their properties, such as permeability, may be described using fractal distributions. This work models the fractal characteristics of such permeability fields in which the covariance function is expressed as a power‐law function. A generalized scaling relation is derived relating various fractal permeability fields using the magnitude of their fluctuations. This relation reveals the self‐similar behavior of two‐phase flow in such permeable media. To that end, a recently developed, high‐resolution numerical simulator is employed to validate the analytically derived scaling relations. Two flow problems are considered in which flow is governed by 1) a linear, and 2) a nonlinear transport equation. Due to the probabilistic representation of the fractal permeability fields, a sensitivity study is conducted for each flow scenario to determine the number of realizations required for statistical convergence. Scaling analysis is performed using ensemble averages of simulated saturation profiles and their mixing lengths. Results support the validity of the developed scaling relation across the range of investigated flow conditions at intermediate times. The dynamics of linear flow in the asymptotic regime is affected by the correlation structure of heterogeneity. In nonlinear flow, scaling behavior appears to be dominated by the degree of nonlinearity. |
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/303980 |
专题 | 资源环境科学 |
推荐引用方式 GB/T 7714 | Yuhang Wang,Jesse Mckinzie,Frederico Furtado,等. Scaling Analysis of Two‐Phase Flow in Fractal Permeability Fields[J]. Water Resources Research,2020. |
APA | Yuhang Wang,Jesse Mckinzie,Frederico Furtado,&Saman A. Aryana.(2020).Scaling Analysis of Two‐Phase Flow in Fractal Permeability Fields.Water Resources Research. |
MLA | Yuhang Wang,et al."Scaling Analysis of Two‐Phase Flow in Fractal Permeability Fields".Water Resources Research (2020). |
条目包含的文件 | 条目无相关文件。 |
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