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    Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/27606

    Title: Approximate Analytical Solution to Groundwater Velocity Variance in Unconfined Trending Aquifers in the Presence of Complex Sources and Sinks
    Authors: Ni,CF;Li,SG
    Contributors: 應用地質研究所
    Date: 2009
    Issue Date: 2010-06-29 18:41:51 (UTC+8)
    Publisher: 中央大學
    Abstract: 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.
    Appears in Collections:[應用地質研究所] 期刊論文

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