工程水力学反问题研究及应用

Study and Application of the Inverse Problem on Hydraulics

给出了反问题的基本概念,将反问题的分类从过去的“综合、控制、识别与连接输入、系统参数识别”扩展为“参数控制反问题、源项控制反问题、边界条件控制反问题、初始条件控制反问题、形状控制反问题”。在反问题的求解方法方面,采用脉冲谱法、离散优化法、控制论方法等方法,求解了Poisson方程、Laplace方程反问题、热传导方程及对流扩散方程反问题,展示了工程水力学反问题在地下水工程、环境工程、水利水电工程等工程应用领域广泛的应用前景。

The hydraulic inverse problems can be applied in many fields such as comprehensive ecological improvement, groundwater resources protection, hydraulic engineering, ocean engineering etc. This paper broaden the concept of the inverse problems from synthesizing, controlling, classification and connect inputting, recognizing the system parameter to parameter control, souree control, boundary control, initial control and shape control. In the solution of inverse problem, the paper advances some new theories such as pulse-spectrum method, discreficise, optimization method, perturbation method and modem controlling method etc. Based on these new methods, a series detailed steps to setting different prob lems are listed.