应用信息熵方法对地下水观测网的层次分类——以河北平原地下水观测网为例

Entropy-based grouping of groundwater monitoring network: Groundwater monitoring in Hebei plain

本文主要针对目前地下水观测网存在的层次不清问题 ,提出了基于信息熵理论新的分类方法。文章列举了观测网层次问题的表现 ,原因和可能造成的后果 ,提出地下水观测网的层次性应该对应地下水流动系统的层次性。认为地下水观测网就是一种信号通讯网 ,水位信号具有可传递性、差异性以及衰减性等特征 ,可以运用信息熵理论中的互信息概念 ,定量刻画观测孔之间的信息联系 ,并以这种信息联系程度作为观测孔层次分类的主要依据。作者以河北平原地下水观测网为实例 ,研究了区域尺度和局部尺度观测网的分类 ,结果表明信息熵方法可以很好地解决此类问题。

The monitoring net with a clear hierarchical structure is essential for water resources evaluation, management and decision\|making. To construct the relationships between monitoring wells, the flow system analysis is recommended because the hierarchy of monitoring network is well corresponded with the hierarchical structures of groundwater flow systems. The monitoring network could be considered as a communicating network. Entropy\|based method is proposed as a tool to re\|grouping those mixed monitoring wells. In this article, the basic concepts about the entropy and information transfer are introduced, and a method based on entropy and information transfer is presented to grouping those monitoring wells of networks. The method is demonstrated in the case study of groundwater level data from Hebei Plain, China, where is the groundwater as the main water supply.