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題名 | 最佳參數維度分析應用於地下水抽水量參數鑑定模式 |
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作者姓名(中文) | 曹以松; 黃國倫; | 書刊名 | 農業工程學報 |
卷期 | 32:4 1986.12[民75.12] |
頁次 | 頁57-64 |
分類號 | 443.67 |
關鍵詞 | 地下水; 抽水量; 最佳參數; 維度分析; |
語文 | 中文(Chinese) |
中文摘要 | 地下水估算參數的準確性及其維度在地下水數值模式中具有重大意義。本文將以統計方法配合地下水參數鑑定模式對於地下水模式中以抽水井配置及抽水量為參數做一研究與分析。 本文採用邊界元素法(Boundary Element Method)為數值方法,因其對點(Source),沉(Sink)流之易於處理,且內域方向法(Feasible Direction Method)被應用於優選法中,而協方差(Coveriance)分析被用來推估估算參數的可靠性,當參數維度增加時以最小平方法(Least Square Method)表示的模式誤差將減小,而估算參數的誤差將增大,而減少了參數的可靠性。而估算參數的可靠性將可由協方差距陣的模根(Norm)來判斷,如此我們便可以決定一最佳的參數維度。 |
英文摘要 | The reliability and the dimensions of the ground-water parameters in estimating numerial model are very important. This paper presents a statistical method in conjunction with groundwater parameter identification model for the estimating of parameters namely the well locations and pumpage. Boundary element method is the numerical method used, because it can solve sources and sinks problem at ease. In optimization method feasible direction method is used. Covariance analysis is also applied to estimate the reliability of the estimated parameters. As the dimension of unknown parameters are increased, the models error presents by least square criterion will generally deccrase, but in the meantime the estimated parameter error will also increase, which reduces the reliability of the estimation of parameters. Norm of the conversance matricx can be used as criterion of the reliability of the estimates and to determine the optimum dimension in parameterization. |
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