地下水观测网的若干问题与基于信息熵的研究方法

观测站点分布的任意性、随意性和层次不清以及观测数据的冗余性等是中国地下水观测网普遍存在的问题 ,这些问题制约着观测网提供可靠和有效数据信息的能力。文章以河北平原地下水观测网为例 ,分析了观测网几个问题的表现和原因 ,并对国内外观测网优化设计的指导思想、技术方法的现状和进展作了简要介绍。在参考大量国内外研究成果的基础上 ,主要介绍了基于信息熵原理研究观测网优化设计的方法 ,包括基本概念、原理和解决观测孔层次分类、信息冗余以及空间优化布局的技术思想。笔者认为 ,信息熵方法是一种能够评价地下水观测网信息 (而不是数据 )收集能力和优化观测网布局的很具发展潜力的技术方法。     

基于信息熵技术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

针对目前地下水观测网存在的层次不清问题，提出了基于信息熵技术的新的分类方法。列举了观测网层次混乱问题的表现、原因和可能造成的后果，提出地下水观测网具有层次性，而且这种层次性必须与地下水流动系统的层次性对应；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；以河北平原地下水观测网为例，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。     

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

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。     

用于水资源系统观测网空间布局优化设计的技术方法

论述了观测网空间优化设计的重要性和我国目前观测网点布设存在的问题,在综合国内外水资源科学研究状的基础上,介绍了目前用于观测网优化设计的几种技术方法,包括数据理论方法,克里格技术和信息熵方法,特别推荐基于信息熵与随机数学相结合而发展起来的优化设计方法,这种根据观测数据信息含量大小建立信息关系度量的技术手段,特别适合在基础数据不完整的情况下运用。     

克立格法在地下水观测网优化设计中的应用

回顾了克立格法在地下水观测网优化设计中的应用和进展,介绍了克立格法的基本原理,论述了克立格法在地下水观测网中的应用思路与实现方法,举例说明了利用克立格法优化调整河北平原地下水观测网。     

地下水观测频率优化设计研究

地下水观测网优化设计,包括观测孔空间位置及时域上观测频率的优化设计。本文从地下水动态特征出发,提出了地下水观测频率优化设计的时间克立金方法、谱分析方法以及统计学分析方法。在观测频率优化设计中,各种方法研究的角度各有特点和差异。     

地下水动态观测网优化设计研究

本文采用状态空间分析法,通过对地下水流系统输入变量、输出变量及地下水动态测量值的研究,提出了地下水流系统确定一随机性数值模型。运用该模型的模拟解,进行地下水动态观测网优化设计。该方法把地下水动态观测网密度、位置及观测频率优化与地下水流系统结合起来研究。为了克服该模型计算量大的缺陷,本文提出了一种改进算法,使这一观测网优化方法适于在微机上实现,减少了计算工作量。该方法曾用于陕西某地区地下水位动态观测网的优化设计,取得了显著经济效益。     

地下水位动态分析及其在实践中的应用

淮南孔集井田是全国水文地质条件复杂的矿井之一，为了查清其水文地质条件，根据大量地面钻孔构成的水文观测网的观测数据的分析，阐述了地下水的补给源及与影响因素之间的关系和各含水层之间的水力联系特征，为查明Ａ组煤底板岩溶水水文地质条件和防治底板水的突出提供了依据。     

监测信息系统的数据库设计

文章在分析岩土工程监测信息的特点的基础上,介绍了基于SQL Server7.0的监测信息系统数据库设计技术,如如何利用关系型数据库管理系统的特点来实现监测信息之间的拓扑关系,并减少数据冗余;如何用存储过程和触发器来优化数据的提取与存储等.     

河北平原地下水流系统演变规律研究

河北平原地下水在经过长期开发利用后,出现了一系列环境问题,地下水的流动模式以及均衡状态发生了很大改变。从地下水年龄结构出发,利用MODFLOW-2000建立稳定流模型对地下水流数值进行模拟,对河北平原的地下水年龄结构以及地下水流场特征进行研究分析,重点研究了地下水储存量的变化过程以及影响因素,并通过非饱和带水流模型、土壤水均衡模型以及地下水流模型三模型相耦合的方式,对河北平原饱和带储存量变化、地下水补给量以及非饱和带中地下水滞留时间进行了估算。模拟结果显示:河北平原1975~2015年间浅层含水层地下水储存量减小速率约为30 mm/yr,减少量约占总储量的15%,说明地下水存储量的减少主要是由于浅层地下水存储量的减少引起;根据模型修正结果计算,河北平原年地下水补给量为120 mm,灌溉和降水补给为100 mm,渗流以及山前侧向补给为20 mm,降水量的变化趋势与地下水补给趋势保持一致,相关系数为0.92,地下水补给有25%来自降水和灌溉;地下水年龄差异与模拟参数存在变量关系,弥散度越大,地下水年龄差异越大。该模拟研究成果为今后地下水系统的研究提供数值依据。     

Entropy-Based Approach to Remove Redundant Monitoring Wells from Regional-Scale Groundwater Network

An entropy-based approach is applied to identify redundant wells in the network. In the process of this research, groundwater-monitoring network is considered as a communication system with a capability to transfer information, and monitoring wells are taken as information receivers. The concepts of entropy and mutual information are then applied to measure the information content of individual monitoring well and information relationship between monitoring well pairs. The efficiency of information transfer among monitoring wells is the basis to judge the redundancy in the network. And the capacity of the monitoring wells to provide information on groundwater is the point of evaluation to identify redundant monitoring wells. This approach is demonstrated using the data from a regional-scale groundwater network in Hebei plain, China. The result shows that the entropy-based method is recommendable in optimizing groundwater networks, especially for those within media of higher heterogeneities and anisotropies.     

Spatial assessment and redesign of a groundwater quality monitoring network using entropy theory, Gaza Strip, Palestine

Using entropy theory, a methodology was developed for the evaluation and redesign of groundwater quality monitoring wells in the Gaza Strip in Palestine. Essential to the methodology is the development of a Transinformation Model (TM) which yields the amount of information transfer and the dependency between the wells as a function of distance. The TM parameters, such as the minimum transinformation and the range, were employed for evaluating the network which revealed that most of the distances between wells were less than the range. It also indicated that a high percentage of redundant information existed in the network. Therefore, the network was reduced by superimposing a square pattern over the monitored area and selecting one well per square block in a stratified pattern. The methodology was tested using the chloride data collected from 1972–2000 from 417 groundwater quality monitoring wells in the Gaza Strip. The number of the groundwater quality monitoring wells in the Gaza Strip was reduced by 53%, while there was 26% redundant information based on the minimum existing distance between wells. This methodology is meant to help monitor the groundwater quality (salinity) in the Gaza Strip.     

Evaluation of groundwater monitoring network of Kodaganar River basin from Southern India using entropy

A discrete entropy-based approach is used to assess the groundwater monitoring network that exists in Kodaganar River basin of Southern India. Since any monitoring system is essentially an information collection system, its technical design and evaluation require a quantifiable measure of information and this measure can be derived using entropy. The use of information-based measures of groundwater table shows that the existing monitoring network contains a sufficient number of wells but is not well designed for the measurement of groundwater level. Entropy-based results show that 15 wells are vital to measure regional groundwater level, not 28 wells which are being monitored effectively in this basin.     

Designing an optimal multivariate geostatistical groundwater quality monitoring network using factorial kriging and genetic algorithms

The optimal selection of monitoring wells is a major task in designing an information-effective groundwater quality monitoring network which can provide sufficient and not redundant information of monitoring variables for delineating spatial distribution or variations of monitoring variables. This study develops a design approach for an optimal multivariate geostatistical groundwater quality network by proposing a network system to identify groundwater quality spatial variations by using factorial kriging with genetic algorithm. The proposed approach is applied in designing a groundwater quality monitoring network for nine variables (EC, TDS, Cl⁻, Na, Ca, Mg, SO ₄ ²⁻ , Mn and Fe) in the Pingtung Plain in Taiwan. The spatial structure results show that the variograms and cross-variograms of the nine variables can be modeled in two spatial structures: a Gaussian model with ranges 28.5 km and a spherical model with 40 km for short and long spatial scale variations, respectively. Moreover, the nine variables can be grouped into two major components for both short and long scales. The proposed optimal monitoring design model successfully obtains different optimal network systems for delineating spatial variations of the nine groundwater quality variables by using 20, 25 and 30 monitoring wells in both short scale (28.5 km) and long scale (40 km). Finally, the study confirms that the proposed model can design an optimal groundwater monitoring network that not only considers multiple groundwater quality variables but also monitors variations of monitoring variables at various spatial scales in the study area.     

http://www.sciencedirect.com/science/article/pii/S1674987112000400

Monitoring of regional groundwater levels provides important information for quantifying groundwater depletion and assessing impacts on the environment Historically,groundwater level monitoring wells in Beijing Plain,China,were installed for assessing groundwater resources and for monitoring the cone of depression.Monitoring wells are clustered around well fields and urban areas.There is urgent need to upgrade the existing monitoring wells to a regional groundwater level monitoring network to acquire information for integrated water resources management.A new method was proposed for designing a regional groundwater level monitoring network.The method is based on groundwater regime zone mapping.Groundwater regime zone map delineates distinct areas of possible different groundwater level variations and is useful for locating groundwater monitoring wells.This method was applied to Beijing Plain to upgrade a regional groundwater level monitoring network.     

北京平原地下水水位监测网优化

文章在北京市地下水水位监测现状基础上,分潜水和承压水对北京平原地下水监测网的监测密度和监测频率进行了优化设计。主要采用编制地下水动态类型图的方法进行了地下水水位监测网的优化,克里金插值法能定量评价依据监测网观测值绘制的地下水水位等高线的精度,因而可以用来评价监测优化结果。并根据时间序列分析和统计检验提供的定量标准优化了地下水水位监测频率。优化后,北京平原共有监测孔400眼,其中利用原有监测孔300眼,新设计监测孔100眼,手工监测频率由原来的每月6次优化为每月1次,专项高频率监测可以由地下水自动监测仪实现。文中还对地下水自动监测仪(DIVER)的监测结果和手工监测结果进行了对比评价,提出了地下水水位监测网的维护、管理措施和信息发布方式。     

The Tau Model for Data Redundancy and Information Combination in Earth Sciences: Theory and Application

Many decision-making processes in the Earth sciences require the combination of multiple data originating from diverse sources. These data are often indirect and uncertain, and their combination would call for a probabilistic approach. These data are also partially redundant with each other or with all others taken jointly. This overlap in information arises due to a variety of reasons—because the data arises from the same geology, because they originate from the same location or the same measurement device, etc. The proposed tau model combines partially redundant data, each taking the form of a prior probability for the event being assessed to occur given that single datum. The parameters of that tau model measure the additional contribution brought by any single datum over that of all previously considered data; they are data sequence-dependent and also data value-dependent. Data redundancy depends on the sequence in which the data is considered and also on the data values themselves. However, for a given sequence, averaging the tau model parameters over all possible data values leads to exact analytical expressions and corresponding approximations and inference avenues. Information on multiple-point connectivity of permeability arrives from core data, well-test data and seismic data which are defined over varying supports with complex redundancy between these information sources. In order to compute these tau weights for determining connectivity, one needs a model of data redundancy, here expressed as a vectorial training image (Ti) constructed using a prior conceptual knowledge of geology and the physics of data measurement. From such a vectorial Ti, the tau weights can be computed exactly. Neglecting data redundancy leads to an over-compounding of individual data information and the possible risk of making extreme decisions.     

公网盲区泥石流监测中无线传输技术的应用

为监测公网盲区地质灾害,提出采用无线信号将前端传感器采集的数据传输到主站,然后使用公网信号再将数据传输到后端指挥中心.对珠峰保护区泥石流沟公网盲区泥石流的监测实验表明,该方法是可行的.