| 抛物型方程和Poisson方程参数控制反问题的求解及其应用 |
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| 引用本文： | 金忠青,王玲玲.抛物型方程和Poisson方程参数控制反问题的求解及其应用[J].水科学进展,1993,4(2):89-97. |
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| 作者姓名： | 金忠青 王玲玲 |
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| 作者单位： | 河海大学水力发电工程系 南京 210024 |
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| 基金项目： | 国家自然科学基金资助项目(项目编号59079405) |
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| 摘 要： | 提出用脉冲谱技术(PST)求解抛物型方程参数控制反问题和边界元-优化法求解Poisson方程参数控制反问题;推导了算式,给出了计算程式,并分别用这两种方法反演了非均质矩形土坝的渗透系数和新安江大坝坝基帷幕区补强前后的渗透系数.计算结果表明,用脉冲谱法和边界元-优化法求解参数控制反问题是行之有效的,应用于坝工渗流计算,可基本解决坝体和地基渗透系数的反演问题,其优点是,所需附加信息量少,无需大面积的钻孔取样工作,可节省大量投资.
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| 关 键 词： | 反问题 参数识别 脉冲谱技术 边界元-优化 渗流 渗透系数 |
| 收稿时间： | 1991-11-05 |
The Algorithms and Applications of Parabolic-Type Equation and Poisson Equation Parameter-Control ineverse Problems |
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| Jing zhongqing,Wang Lingling.The Algorithms and Applications of Parabolic-Type Equation and Poisson Equation Parameter-Control ineverse Problems[J].Advances in Water Science,1993,4(2):89-97. |
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| Authors: | Jing zhongqing Wang Lingling |
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| Institution: | Dept. of Hydro-power Engineering Hohai University |
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| Abstract: | This paper presents that parameter-control inverse problems for parabolic-type equation and for Poisson equation can be solved respectively by Pulse pectrum Technique (PST) and BEM-optimization method. The solution procedures are formulated and numerical algorithms are given in the paper. The two algorithms have been applied respectively to invert the permeability coefficient of Xinanjiang dam foundation before and after being sthengthened by grouting. Numerical results show that PST and BEM-optimization method are valid for solving parameter-control inverse problems and can be applied to invert the permeability coeihcient of dams and their foundations. The advantages of the two methods are that they need much less additional informations and much less drilling and sampling work,so as to save much investment. |
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| Keywords: | inverse problem parameter identification Pulse Spectrum Technique BEM-optimization transmission flow permeability coefficient |
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