【摘要】：本文主要研究了地下水非穩(wěn)定流的靈敏度分析問題。首先,陳述推導(dǎo)并且通過計算得到了潛水含水層地下水運動的基本微分方程和二維非均勻多孔介質(zhì)的控制方程,然后再分析所要求解的邊際靈敏度;其次,用伴隨法進行非穩(wěn)定流靈敏度分析。通過對二維非穩(wěn)定的流控制方程以及它的初始邊界條件得出對應(yīng)的伴隨方程,進而解出邊際靈敏度,并且討論了水頭關(guān)于系統(tǒng)參數(shù)(滲透系數(shù)和貯水系數(shù))在空間相關(guān)和不相關(guān)情況下的靈敏度分析;最后,在隨機非均勻的多孔介質(zhì)的矩形域中,用伴隨法分別討論了參數(shù)域在空間相關(guān)和不相關(guān)情況下的靈敏度分析及相應(yīng)的解析表達式和相關(guān)結(jié)論。用伴隨法對靈敏度進行分析,得到的表達式能更有效的去計算靈敏度,這對模型的分析也是比較有用,此分析方法不僅可以用于地下水方面,還能拓展到其他類似的控制方程和類似概念條件的數(shù)學(xué)問題中。
[Abstract]:In this paper, the sensitivity analysis of unsteady flow of groundwater is studied. First, the basic differential equation of groundwater movement of the aquifer and the governing equation of two-dimensional inhomogeneous porous media are derived and calculated, then the marginal sensitivity of the required solution is analyzed. The sensitivity analysis of unstable flow is carried out by adjoint method. The corresponding adjoint equation is obtained from the two-dimensional unstable flow control equation and its initial boundary conditions, and the marginal sensitivity is obtained. The sensitivity analysis of the system parameters (permeability coefficient and water storage coefficient) in the case of spatial correlation and non-correlation is discussed. Finally, in the rectangular domain of random non-uniform porous media, the sensitivity analysis of the system parameters (permeability coefficient and water storage coefficient) is discussed. The sensitivity analysis of parameter domain in the case of spatial correlation and non-correlation is discussed by adjoint method, and the corresponding analytical expressions and relevant conclusions are also discussed. By using adjoint method to analyze sensitivity, the obtained expression can calculate sensitivity more effectively, which is also useful for model analysis. This analysis method can be used not only in groundwater, but also in groundwater. It can also be extended to other similar mathematical problems of governing equations and similar conceptual conditions.
【學(xué)位授予單位】：成都理工大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：P641.2

【參考文獻】

相關(guān)期刊論文 前1條

1 唐明裴,閻貴平;結(jié)構(gòu)靈敏度分析及計算方法概述[J];中國鐵道科學(xué);2003年01期

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本文編號：2264083