| 地下水稳定运动基本微分方程的三维解法──地下水向承压完整井的运动 |
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| 引用本文： | 熊道锟,胡济珍.地下水稳定运动基本微分方程的三维解法──地下水向承压完整井的运动[J].四川地质学报,1996(4). |
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| 作者姓名： | 熊道锟 胡济珍 |
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| 作者单位： | 地矿部成都水文地质工程地质中心 |
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| 摘 要： | 以映射和叠加原理为基础，探讨了均质、等厚承压含水层中地下水向完整井作三维运动时，地下水稳定运动基本微分方程的求解方法，并与裘布衣公式作了对比。由于求解时考虑了地下水流速的水平、垂直分量，故所得结果较裘布衣公式更为准确与合理。
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| 关 键 词： | 地下水稳定运动，完整井基本微分方程，三维解法 |
THREE-DIMENSIONAL SOLUTION OF BASIC DIFFERENTIAL EQUATION FOR STEADY FLOW OF GROUNDWATER:FLOW OF GROUNDWATER TOWARDS FULLY PENETRATING WELL IN CONFINED AQUIFER |
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| Xiong Daokun and Hu Jizhen.THREE-DIMENSIONAL SOLUTION OF BASIC DIFFERENTIAL EQUATION FOR STEADY FLOW OF GROUNDWATER:FLOW OF GROUNDWATER TOWARDS FULLY PENETRATING WELL IN CONFINED AQUIFER[J].Acta Geologica Sichuan,1996(4). |
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| Authors: | Xiong Daokun and Hu Jizhen |
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| Abstract: | The solution of basic differential equation for steady flow of groundwater when groundwater flows in three-dimension and towards pumping fully penetrating well in homogeneous,isopachous confined aquifer is discussed on the basis of the principle of images and the principle of superposition,and the solution of the equation is compared with the DupuitForchheimer formula. The solution is more accurate than that of the Dupuit-Forchheimer formula because both horizontal and vertical components of groundwater flow velocity are included when the equation is solved. |
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| Keywords: | steady flow of groundwater basic differential equation three-dimension solution |
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