Approximate analytical solution to groundwater velocity variance in unconfined trending aquifers in the presence of complex sources and sinks

Chuen Fa Ni, Shu Guang Li

研究成果: 雜誌貢獻期刊論文同行評審

2 引文 斯高帕斯(Scopus)

摘要

In this paper, we present a stochastic-analytical approach for uncertainty modeling in two-dimensional, statistically nonuniform groundwater flows. In particular, we develop simple closed-form expressions that can be used to predict the variance of Darcy velocities caused by random small-scale heterogeneity in hydraulic conductivity. The approach takes advantage of the scale disparity between the nonstationary mean and fluctuation processes and invokes an order-of-magnitude analysis, enabling major simplifications and closed-form solutions of the nonstationary perturbation equations. We demonstrate the accuracy and robustness of the derived closed-form solutions by comparing them with the corresponding numerical solutions for a number of nonstationary flow examples involving unconfined conditions, transient conditions, complex trends in mean conductivity, sources and sinks, and bounded domains.

原文???core.languages.en_GB???
頁(從 - 到)1119-1125
頁數7
期刊Journal of Hydrologic Engineering
14
發行號10
DOIs
出版狀態已出版 - 2009

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