基于混沌理论的地下水埋深序列分析

松嫩平原是中国重要的商品粮生产基地,水资源贫乏是制约其发展的重要原因。由于其供水源主要是地下水资源,加强地下水的利用规划显得十分迫切。对于复杂的非线性地下水系统,应用混沌理论,从地下水埋深的时间序列出发,通过计算延迟时间和嵌入维数进行相空间重构,然后应用饱和关联维数法和Poincare截面法进行分析,发现松嫩平原地下水埋深序列存在明显的混沌特征。

Analysis of Groundwater Depth Series Based on Chaos Theory

The poor water resource has been one important restricting factor for social economical sustainable development in Songnen plain, an important production base of commodity food grain in China. The planning of the groundwater, as the main water resource, is an urgent task and the groundwater system is a complicated nonlinear system. In this paper, first, the delay time and reconstruction dimension of groundwater depth series are calculated for the reconstruction of the state space. Secondly, the obvious chaos characteristics in the series of groundwater depth in Songnen plain are revealed through the correlative dimension method and Poincare section method. The theoretical evidence is provided for applying the chaos theory to study the variable law of groundwater depth in Songnen plain.