地下水水量水质的最优控制——几何规划的应用

Optimum Control of Groundwater Quantity and Quality -Application of Geometric Programming

提出应用几何规划方法求解地下水水量水质的最优控制问题。为便于几何规划的实际应用,对于一堆稳态地下水水量水质控制问题,采用将流速因子从水质方程系数矩阵中分离处理的方法,使得浓度具有显式表示的可能,从而大大减少约束条件的数目。对于地下水水量水质控制中的负系数问题,应用A-W法处理。计算结果表明,提出的方法是可行的。

The Geometric programming (GP) method is applied to tackle the optimum control problem of groundwater quantity and quality. The nonlinear programming is easy to solve through transforming nonlinear restraints into linear ones by using the GP method. In order to put the GP method into practical use for the one-dimensional steady groundwater quantity and quality control problem, the velocity factor is separated form the coefficient matrix of water quality equation. And, the concentration can be expressed in an explicit form, thus reducing the number of restraints greatly. The Avriel-williams method is used to treat the negative coefficient problem. The proposed example shows that the GP method is feasible and effective.