用Hooke—Jeeves方法进行水文地质参数寻优的研究

A Study of Optimization for Hydrogeologic Parameters with Hooke—Jeeves Methods

模型验证阶段的水文地质参数调整一直是地下水数值模拟过程中的关键步骤。传统的参数调试方法如试估—校正法既需要大量的时间,又必须凭借经验进行人工干预。这对于本就缺少经验的人来说是无法逾越的难题。因此前人研究了包括单纯形等多种自动优化方法来反求水文地质参数。本文采用的Hooke—Jeeves法是一种算法简单,便于使用的优化方法,它避免了单纯形法必须先形成一系列单纯形顶点及通过形心寻优的麻烦,而是根据误差下降趋势直接寻优获得结果。方法首先将反求水文地质参数问题简化为一无约束优化问题,最终运用Hooke—Jeeves方法对问题进行求解,是一种简单且实用的方法。

Optimization for hydrogeologic parameters in phase of model examination is the most important step in groundwater numerical modeling. The traditional methods, such as trial-and-error method, need much time and need manual intervention with experiences. It is the impassable puzzle for the people short of experience. So, many researchers study several optimization method to determining the parameters. Hooke--Jeeves method is a kind of optimization which algorithm is simple and easy to realize. This method avoids the problem in simplex method which must create a series of simplex peaks first and calculate the center of simplex to find the optimal solution. And it directly optimizes the function with trend of the value reducing. The determination of hydrologic parameters problem firstly converts into a unconstrained optimization, and then unsolved with the Hooke--Jeeves method. It is a simple and practical method.