参数控制反问题的求解及其在坝工渗流中的应用

采用脉冲谱技术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,并分别采用这两种方法反演了非均质矩形土坝的渗透系数和某重力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,应用于岩土渗流计算,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.

The algorithms of parameter-control inverse problems and their applications in seepage of dam engineering

Parabolic-type equation and Poisson equation for parameter-control inverse problems can be solved by pulse-spectrum technique(PST) and discritized-optimization method respectively.The solution procedures are formulated and numerical algorithms are given in this paper.The two algorithms have been applied respectively to invert the permeability coefficient of an inhomogeneous rectangle dam and gravity dam foundations before and after being strengthened by grouting.Numerical results show that PST and discritized-optimization method are valid for solving parameter-control inverse problems and can be applied to invert the permeability coefficient of dams and their foundations.Advantages of the two methods are that they need much less additional information and much less drilling and sampling work,so as to save much investment.